{"id":516,"date":"2009-09-06T01:50:13","date_gmt":"2009-09-05T17:50:13","guid":{"rendered":"http:\/\/xiangge.andrewsun.net\/?p=516"},"modified":"2009-09-06T01:50:13","modified_gmt":"2009-09-05T17:50:13","slug":"%e8%84%b1%e7%a6%bb%e7%bb%93%e6%9e%84%e7%9a%84%e7%ba%af%e6%b5%81%e5%8f%98%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/516","title":{"rendered":"\u8131\u79bb\u7ed3\u6784\u7684\u7eaf\u6d41\u53d8\u5b66"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"516\">\n<p><span style=\"float: left; padding: 5px;\"><a href=\"http:\/\/www.researchblogging.org\"><img decoding=\"async\" alt=\"ResearchBlogging.org\" src=\"http:\/\/www.researchblogging.org\/public\/citation_icons\/rb2_mid.png\" 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id=\"ref1\" class=\"Z3988\" title=\"ctx_ver=Z39.88-2004&#038;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&#038;rft.jtitle=EPL+%28Europhysics+Letters%29&#038;rft_id=info%3Adoi%2F10.1209%2F0295-5075%2F87%2F38004&#038;rfr_id=info%3Asid%2Fresearchblogging.org&#038;rft.atitle=Origin+of+apparent+viscosity+in+yield+stress+fluids+below+yielding&#038;rft.issn=0295-5075&#038;rft.date=2009&#038;rft.volume=87&#038;rft.issue=3&#038;rft.spage=38004&#038;rft.epage=&#038;rft.artnum=http%3A%2F%2Fstacks.iop.org%2F0295-5075%2F87%2Fi%3D3%2Fa%3D38004%3Fkey%3Dcrossref.23641ed4ae516e180535bf8827a1bd0a&#038;rft.au=M%C3%B8ller%2C+P.&#038;rft.au=Fall%2C+A.&#038;rft.au=Bonn%2C+D.&#038;rfe_dat=bpr3.included=1;bpr3.tags=Chemistry%2CMaterials%2C+Polymer%2C+Condensed+Matter%2C+Rheology%2C+Continuum+Mechanics\">[1] M\u00f8ller, P., Fall, A., &#038; Bonn, D. (2009). Origin of apparent viscosity in yield stress fluids below yielding <span style=\"font-style: italic;\">EPL (Europhysics Letters), 87<\/span> (3) DOI: <a rev=\"review\" href=\"http:\/\/dx.doi.org\/10.1209\/0295-5075\/87\/38004\">10.1209\/0295-5075\/87\/38004<\/a><\/span><br \/><span id=\"ref2\" class=\"Z3988\" title=\"ctx_ver=Z39.88-2004&#038;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&#038;rft.jtitle=Rheologica+Acta&#038;rft_id=info%3Adoi%2F10.1007%2FBF01333960&#038;rfr_id=info%3Asid%2Fresearchblogging.org&#038;rft.atitle=The+yield+stress+myth%3F&#038;rft.issn=0035-4511&#038;rft.date=1985&#038;rft.volume=24&#038;rft.issue=4&#038;rft.spage=323&#038;rft.epage=326&#038;rft.artnum=http%3A%2F%2Fwww.springerlink.com%2Findex%2F10.1007%2FBF01333960&#038;rft.au=Barnes%2C+H.&#038;rft.au=Walters%2C+K.&#038;rfe_dat=bpr3.included=1;bpr3.tags=Chemistry%2CMaterials%2C+Polymer%2C+Condensed+Matter%2C+Rheology%2C+Continuum+Mechanics\">[2] Barnes, H., &#038; Walters, K. (1985). The yield stress myth? <span style=\"font-style: italic;\">Rheologica Acta, 24<\/span> (4), 323-326 DOI: <a rev=\"review\" href=\"http:\/\/dx.doi.org\/10.1007\/BF01333960\">10.1007\/BF01333960<\/a><\/span><br \/><span id=\"ref3\" class=\"Z3988\" title=\"ctx_ver=Z39.88-2004&#038;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&#038;rft.jtitle=Journal+of+Non-Newtonian+Fluid+Mechanics&#038;rft_id=info%3Adoi%2F10.1016%2FS0377-0257%2898%2900094-9&#038;rfr_id=info%3Asid%2Fresearchblogging.org&#038;rft.atitle=The+yield+stress%E2%80%94a+review+or+%27%CF%80%CE%B1%CE%BD%CF%84%CE%B1+%CF%81%C9%9B%CE%B9%27%E2%80%94everything+flows%3F&#038;rft.issn=03770257&#038;rft.date=1999&#038;rft.volume=81&#038;rft.issue=1-2&#038;rft.spage=133&#038;rft.epage=178&#038;rft.artnum=http%3A%2F%2Flinkinghub.elsevier.com%2Fretrieve%2Fpii%2FS0377025798000949&#038;rft.au=Barnes%2C+H.&#038;rfe_dat=bpr3.included=1;bpr3.tags=Chemistry%2CMaterials%2C+Polymer%2C+Condensed+Matter%2C+Rheology%2C+Continuum+Mechanics\">[3] Barnes, H. (1999). The yield stress\u2014a review or &#8216;\u03c0\u03b1\u03bd\u03c4\u03b1 \u03c1\u025b\u03b9&#8217;\u2014everything flows? <span style=\"font-style: italic;\">Journal of Non-Newtonian Fluid Mechanics, 81<\/span> (1-2), 133-178 DOI: <a rev=\"review\" href=\"http:\/\/dx.doi.org\/10.1016\/S0377-0257(98)00094-9\">10.1016\/S0377-0257(98)00094-9<\/a><\/span><\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 516 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[1] M\u00f8ller, P., Fall, A., &#038; Bonn, D. (2009). Origin of apparent viscosity in yield stress fluids below yielding EPL (Europhysics Letters), 87 (3) DOI: 10.1209\/0295-5075\/87\/38004[2] Barnes, H., &#038; Walters, K. (1985). The yield stress myth? Rheologica Acta, 24 (4), 323-326 DOI: 10.1007\/BF01333960[3] Barnes, H. (1999). The yield stress\u2014a review 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polymers\u548ccolloidal gels\u4f53\u7cfb\u90fd\u6709\u5ef6\u8fdf\u5c48\u670d\uff08delayed yielding\uff09\u7684\u73b0\u8c61\u3002\u5728\u505a\u8815\u53d8\u5b9e\u9a8c\u65f6\uff0c\u5728\u4e2d\u7b49\u5927\u5c0f\u7684\u5e94\u529b\u03c3\u4e0b\uff0c\u6837\u54c1\u4e0d\u662f\u4e0d\u5c48\u670d\uff0c\u4f46\u53c8\u4e0d\u9a6c\u4e0a\u53d1\u751f\u5c48\u670d\uff0c\u800c\u662f\u6709\u4e00\u6bb5\u5ef6\u8fdf\u65f6\u95f4td\u3002td\u8ddf\u65bd\u52a0\u5e94\u529b\u03c3\u7684\u5927\u5c0f\u6709\u5173\uff0c\u03c3\u8db3\u591f\u5927\u7684\u8bdd\uff0c\u5c31\u770b\u4e0d\u5230\u5ef6\u8fdf\uff0ctd = 0\uff1b\u03c3\u8db3\u591f\u5c0f\u7684\u8bdd\uff0ctd\u8d8b\u4e8e\u65e0\u7a77\uff0c\u5e38\u89c4\u4e0a\u8bb2\u6cd5\u5c31\u662f\u8bf4\u65bd\u52a0\u5e94\u529b\u5c0f\u4e8e\u6837\u54c1\u7684\u5c48\u670d\u5e94\u529b\u03c3 < 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modal\u3002\u5c31\u662f\u628a\u89e6\u53d8\u6027\u6d41\u4f53\u770b\u6210\u4e00\u4e2a\u542b\u6709\u7ed3\u6784\u53c2\u6570\u03bb\u7684\u5e73\u8861\u6001\u6a21\u578b\uff0c\u800c\u7ed3\u6784\u53c2\u6570\u8ddf\u65f6\u95f4\u548c\u526a\u5207\u573a\u6709\u5173\uff0c\u5b58\u5728\u5efa\u7acb\u548c\u7834\u574f\u4e4b\u95f4\u7684\u7ade\u4e89\u3002\u6709\u4e00\u5927\u90e8\u5206\u8fd9\u7c7b\u6a21\u578b\u5bf9\u8fd9\u4e2a\u7ed3\u6784\u53c2\u6570\u7684\u5904\u7406\u662f\u4eff\u6548\u7ade\u4e89\u53cd\u5e94\u52a8\u529b\u5b66\u7684\u505a\u6cd5\uff0c\u628a\u5b83\u5199\u6210\u8ddf\u7ed3\u6784\u5efa\u7acb\u901f\u7387\u5e38\u6570k1\u548c\u7834\u574f\u901f\u7387\u5e38\u6570k2\u6709\u5173\u7684\u4e00\u4e2a\u901f\u7387\u65b9\u7a0b\u3002\u8fd9\u6837\u7684\u6a21\u578b\u81ea\u7136\u662f\u53ef\u4ee5\u63cf\u8ff0\u57fa\u672c\u89e6\u53d8\u6027\u73b0\u8c61\uff0c\u4f8b\u5982thixtropic loop\u548cstress overshoot\u3002\u4f46\u662f\uff0c\u6211\u5728MATLAB\u91cc\u73a9\u8fc7\u51e0\u4e2a\u8fd9\u79cd\u6a21\u578b\uff0c\u90fd\u6ca1\u529e\u6cd5\u6574\u51fa\u5ef6\u8fdf\u5c48\u670d\u73b0\u8c61\u3002\u5c48\u670d\u662f\u6709\u7684\uff0c\u4f46\u662f\u90fd\u662f\u4ecet = 0\u5f00\u59cb\u53d1\u751f\uff0c\u6211\u80fd\u8c03\u7684\u53ea\u662f\u5c48\u670d\u8fc7\u7a0b\u7684\u5feb\u6162\uff0c\u800c\u4e0d\u662f\u4f55\u65f6\u5f00\u59cb\u53d1\u751f\u3002\u6211\u6ca1\u529e\u6cd5\u8ba9\u5b83\u65f6\u957f\u4e3atd\u7684\u65f6\u95f4\u5185\u4e0d\u53d1\u751f\u4efb\u4f55\u4e8b\u60c5\uff0c\u7136\u540e\u8d85\u8fc7\u6b64\u65f6\u95f4\u4e4b\u540e\u518d\u53d1\u751f\u5c48\u670d\u3002\u66f4\u8c08\u4e0d\u4e0a\u8c03\u6574td\u7684\u957f\u77ed\u4e86\u3002\u76ee\u524d\u6211\u6000\u7591\u5982\u679c\u8981\u63cf\u8ff0\u5ef6\u8fdf\u5c48\u670d\uff0c\u5149\u7b80\u5355\u5730\u7528\u4e00\u4e2a\u6570\u503c\u4ee3\u8fdbk1\u6216k2\u662f\u4e0d\u591f\u7684\u3002k1\u548ck2\u9700\u8981\u8fdb\u4e00\u6b65\u5efa\u6a21\u3002\u4e0d\u8fc7\uff0c\u6211\u5fc5\u987b\u60f3\u51fa\u4e00\u4e2aidea\u5230\u5e95\u5ef6\u8fdf\u5c48\u670d\u7684td\u65f6\u95f4\u5185\u6837\u54c1\u5230\u5e95\u53d1\u751f\u4ec0\u4e48\u7ed3\u6784\u53d8\u5316\uff0c\u80fd\u65e2\u4e0d\u5bfc\u81f4\u4efb\u4f55\u6d41\u53d8\u5b66\u73b0\u8c61\uff0c\u53c8\u63a7\u5236\u7740td\u7684\u957f\u77ed\u3002","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":6627,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6627","url_meta":{"origin":516,"position":1},"title":"\u6d41\u53d8\u5b66\u7814\u7a76\u4ec0\u4e48","author":"Andrew","date":"2015\u5e746\u670827\u65e5","format":"aside","excerpt":"\u4eca\u5929\u53bb\u9762\u7b7e\uff0c\u9762\u8bd5\u5b98\u95ee\u6211What is rheology\uff0c\u6211\u629b\u51fa\u5b98\u8bdd\uff1athe study of the deformation and flow of matter\u3002\u56de\u5355\u4f4d\uff0c\u6536\u5230\u4e00\u4e2a\u964c\u751f\u7814\u7a76\u751f\u7684\u90ae\u4ef6\uff0c\u6211\u5728\u56de\u590d\u4e2d\u53c8\u6d89\u53ca\u5230\u8fd9\u4e2a\u3002 \u63d2\u53e5\u8bdd\uff0c\u6211\u89c9\u5f97\u8fd9\u5e74\u5934\uff08\u7279\u522b\u662fGoogle Reader\u505c\u6b62\u670d\u52a1\u4e4b\u540e\uff09\uff0c\u770b\u535a\u5ba2\u7684\u4eba\u5e94\u8be5\u662f\u5f88\u5c11\u7684\uff0c\u901a\u8fc7RSS\u8ddf\u8e2a\u535a\u5ba2\u7684\u4eba\u5e94\u8be5\u5c31\u66f4\u5c11\u3002\u6211\u4ee5\u524d\u5728\u79d1\u5b66\u7f51\u5199\u535a\u5ba2\uff0c\u5f88\u591a\u4eba\u901a\u8fc7\u535a\u5ba2\u77e5\u9053\u6211\u3002\u4f46\u6211\u4e0d\u5728\u90a3\u91cc\u5199\u4e1c\u897f\u5f88\u591a\u5e74\u4e86\uff0c\u539f\u4ee5\u4e3a\u5728\u8fd9\u4e2a\u4e2a\u4eba\u57df\u540d\u4e0b\u5199\u5199\uff0c\u5e94\u8be5\u6ca1\u591a\u5c11\u4eba\u770b\uff0c\u66f4\u4e0d\u8981\u8bf4\u662f\u6d41\u53d8\u5b66\u540c\u884c\u3002\u53ef\u4ecd\u7136\u4e0d\u65f6\u6709\u4eba\u7ed9\u6211\u53d1\u90ae\u4ef6\uff0c\u8bf4\u662f\u4ece\u6211\u7684\u535a\u5ba2\u77e5\u9053\u6211\u7684\u3002\u535a\u5ba2\u6bd5\u7adf\u662f\u4e00\u4e2a\u7528\u6765\u778e\u626f\u7684\u5730\u65b9\uff0c\u4e5f\u8bb8\u6211\u6709\u65f6\u4f1a\u8ba4\u771f\u603b\u7ed3\u4e00\u4ef6\u4e8b\uff0c\u4f46\u5f80\u5f80\u5927\u591a\u6570\u662f\u778e\u626f\u3002 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rotation\u6a21\u5f0f\u6765\u505a\u7684\u5b9e\u9a8c\uff0c\u63a7\u5236\u526a\u5207\u901f\u7387\uff0c\u5173\u6ce8\u7c98\u5ea6\u3002\u4e3b\u8981\u6d4b\u8bd5\u624b\u6bb5\u5305\u62ec\u9636\u8dc3\u5e94\u53d8\u901f\u7387\u6216\u7a33\u6001\u7c98\u5ea6\u66f2\u7ebf\uff0c\u603b\u7684\u6765\u8bf4\u662f\u975e\u7ebf\u6027\u6d41\u53d8\u5b66\u3002\u73b0\u5728\u8fd9\u65b9\u9762\u7814\u7a76\u7684\u65b9\u6cd5\u4e5f\u53ef\u4ee5\u5305\u62ecLAOS\u4e86\u3002\u677e\u5f1b\u8c31\u5c31\u662f\u6307\u6837\u54c1\u7684\u7ebf\u6027\u7c98\u5f39\u6027\uff0c\u90a3\u4e48\u53ea\u8981\u5728\u7ebf\u6027\u6761\u4ef6\u4e0b\uff0c\u5404\u79cd\u6fc0\u53d1\u65b9\u5f0f\u548c\u54cd\u5e94\u51fd\u6570\u90fd\u662f\u7b49\u4ef7\u7684\uff0c\u5305\u62ec\u8815\u53d8\u3001\u5e94\u529b\u677e\u5f1b\u3001\u5c0f\u5e45\u632f\u8361\u7b49\uff0c\u4e3b\u8981\u63a7\u5236\u6d4b\u91cf\u65f6\u95f4\uff08\u9891\u7387\uff09\uff0c\u5173\u6ce8\u54cd\u5e94\u51fd\u6570\u3002\u540c\u6837\u5c5e\u4e8e\u677e\u5f1b\u8c31\u7814\u7a76\u7684\u8fd8\u5305\u62ec\u70ed\u6d41\u53d8\u7b80\u5355\u6027\u7814\u7a76\uff0c\u901a\u8fc7TTS\u83b7\u5f97\u66f4\u5bbd\u7684\u65f6\u95f4\u5c3a\u5ea6\uff0c\u8ba1\u7b97\u677e\u5f1b\u65f6\u95f4\u8c31\u7b49\u7b49\u3002\u201c\u6d41\u52a8\u6027\u201d\u548c\u201c\u677e\u5f1b\u8c31\u201d\u8fd9\u4e24\u4e2a\u6027\u8d28\u662f\u6837\u54c1\u5904\u4e8e\u5b8c\u5168\u4e0d\u540c\u7684\u4e24\u79cd\u72b6\u6001\u4e0b\u7684\u6027\u8d28\uff0c\u5b83\u4eec\u4e4b\u95f4\u6ca1\u6709\u5fc5\u7136\u8054\u7cfb\u3002 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\u51e1\u662f\u4e0d\u5355\u7eaf\u4e86\u89e3\u6d41\u52a8\u6027\u6216\u7ebf\u6027\u7c98\u5f39\u6027\uff0c\u800c\u662f\u603b\u662f\u60f3\u6d89\u53ca\u6837\u54c1\u7ed3\u6784\u7684\u6d41\u53d8\u5b66\u7814\u7a76\uff0c\u90fd\u4e0d\u80fd\u907f\u5f00\u8f6f\u7269\u8d28\u7269\u7406\u7684\u5b66\u4e60\u3002\u5f88\u591a\u6d41\u53d8\u5b66\u521d\u5b66\u8005\u7f3a\u4e4f\u8fd9\u79cd\u7269\u7406\u57fa\u7840\uff0c\u4f46\u662f\u53c8\u542c\u5230\u6216\u770b\u5230\u592a\u591a\u7528\u6d41\u53d8\u5b66\u7ed3\u679c\u8ba8\u8bba\u6837\u54c1\u7ed3\u6784\u7684\u8bdd\u3002\u4ed6\u4eec\u5f80\u5f80\u90fd\u662f\u6839\u636e\u542c\u8fc7\u7684\u8bf4\u6cd5\u8fdb\u884c\u673a\u68b0\u7167\u642c\u3002\u5728\u8fd9\u65b9\u9762\uff0cLarson\u7684\u4e66The Structure and Rheology of Complex Fluids\u5c31\u662f\u4e00\u672c\u5f88\u597d\u7684\u6559\u6750\u3002\u5e94\u8be5\u719f\u8bfb\u8fd9\u672c\u4e66\uff0c\u9996\u5148\u6e05\u695a\u5404\u7c7b\u4f53\u7cfb\u7684\u7ed3\u6784\uff08structure\uff09\u548c\u52a8\u6001\uff08dynamics\uff09\uff0c\u7136\u540e\u518d\u4e86\u89e3\u4ed6\u4eec\u5982\u4f55\u5f71\u54cd\u6d41\u53d8\u5b66\u6027\u8d28\uff08again\uff0c\u5206\u522b\u662f\u6d41\u52a8\u6027\u548c\u7ebf\u6027\u7c98\u5f39\u6027\uff09\u3002\u90a3\u4e48\uff0c\u9047\u5230\u5b9e\u9645\u7684\u6d4b\u91cf\u6837\u54c1\u7684\u65f6\u5019\uff0c\u624d\u80fd\u72ec\u7acb\u601d\u8003\uff1a\u5148\u8bd5\u56fe\u628a\u6837\u54c1\u5f52\u7c7b\u4e3aLarson\u4e66\u4e2d\u7684\u67d0\u79cd\u4f53\u7cfb\uff0c\u7136\u540e\u6839\u636e\u8fd9\u79cd\u4f53\u7cfb\u7684\u4e00\u822c\u6a21\u578b\u53bb\u4f30\u8ba1\u5b83\u7684\u6d41\u52a8\u6027\u548c\u7ebf\u6027\u7c98\u5f39\u6027\u5e94\u8be5\u662f\u600e\u6837\u7684\uff0c\u518d\u53bb\u6d4b\u91cf\u3002\u8fd9\u76f8\u5f53\u4e8e\u662f\u5148\u6709hypothesis\uff0c\u518d\u53bb\u505aexperiment\u3002\u5f88\u591a\u521d\u5b66\u8005\u5c31\u662f\u5728hypothesis\u5b8c\u5168\u7a7a\u767d\u7684\u60c5\u51b5\u4e0b\u4e71\u6d4b\uff0c\u5f97\u51fa\u7684\u7ed3\u679c\u4e5f\u5c31\u53ea\u80fd\u4e71\u89e3\u8bfb\u3002","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":3688,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/3688","url_meta":{"origin":516,"position":2},"title":"\u535a\u58eb\u5b66\u4f4d\u8bba\u6587\u7684\u8111\u529b\u52b3\u52a8\u90e8\u5206","author":"Andrew","date":"2011\u5e748\u670819\u65e5","format":false,"excerpt":"\u672c\u6765\u505a\u79d1\u7814\u90fd\u7b97\u8111\u529b\u52b3\u52a8\uff0c\u4f46\u662f\u4e25\u683c\u7ec6\u5206\u4e00\u4e0b\u53ef\u4ee5\u628a\u505a\u5b9e\u9a8c\u5f53\u6210\u4f53\u529b\u52b3\u52a8\uff0c\u5269\u4e0b\u7684\u7eaf\u8111\u529b\u52b3\u52a8\u90e8\u5206\u5c31\u662f\u5750\u5728\u4e66\u684c\u65c1\u5e72\u51fa\u6765\u7684\u3002\u6839\u636e\u6211\u76ee\u524d\u7684\u60f3\u6cd5\uff0c\u6211\u535a\u58eb\u8bba\u6587\u4e2d\u8fd9\u6837\u7684\u90e8\u5206\u8fd8\u4e0d\u5c11\uff0c\u8ba9\u6211\u5f88\u5934\u75db\u3002\u5b9e\u9a8c\u7684\u8bdd\u4f60\u6309\u65f6\u95f4\u8ba1\u5212\u90fd\u5b8c\u6210\u4e86\u5c31\u57fa\u672c\u641e\u5b9a\u4e86\u3002\u4f46\u8111\u529b\u52b3\u52a8\u90e8\u5206\u4f60\u662f\u9884\u8ba1\u4e0d\u4e86\u4f60\u4f1a\u60f3\u591a\u4e45\u624d\u60f3\u5f97\u51fa\u6765\u7684\uff0c\u6240\u4ee5\u5f88\u96be\u6390\u65f6\u95f4\u3002\u6240\u4ee5\u4e0d\u6392\u51fa\u5230\u6700\u540e\u6211\u62db\u67b6\u4e0d\u4f4f\uff0c\u6211\u7684\u535a\u58eb\u8bba\u6587\u5c31\u9000\u53d8\u6210\u4e00\u4e2a\u5b9e\u9a8c\u62a5\u544a\uff0c\u6ca1\u6709\u4efb\u4f55\u6df1\u5165\u7406\u89e3\u548c\u8ba8\u8bba\u3002\u7ea0\u7ed3\u7684\u9884\u526a\u5207\u6309\u7167\u89e6\u53d8\u6027\u51dd\u80f6\u7684\u5e38\u89c4\uff08\u6216\u79f0\u201c\u88ab\u63d0\u51fa\u548c\u88ab\u5e7f\u6cdb\u91c7\u7528\u7684\u201d\uff0cproposed 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Chem.\u3001Chem. Eur. J.\u4e0a\u9762\u7684\u6587\u7ae0\uff0c\u5c24\u5176\u662f\u5173\u4e8e\u8d85\u5206\u5b50\u5316\u5b66\u7684\u6587\u7ae0\uff0c\u819c\u62dcJ. Stoddart\u3001G. Whitesides\u3002\u540c\u65f6\u4e5f\u5f88\u559c\u6b22\u770bAdv. Mater.\u4e0a\u9762\u65b0\u5947\u7684\u3001\u201c\u667a\u80fd\u201d\u7684\u9ad8\u5206\u5b50\u4f53\u7cfb\u3002\u8bfb\u535a\u4e4b\u540e\uff0c\u6162\u6162\u770bPhys. Rev.\u7cfb\u5217\u591a\u4e86\u8d77\u6765\uff0cGReader\u679c\u65ad\u9000\u8ba2Adv. Mater.\u3001JACS\u3001Angew. Chem.\uff0c\u72c2\u8ba2arXiv\u3002Macromolecules\u3001Soft Matter\u548cLangmuir\u8fd9\u51e0\u4e2a\u5316\u5b66\u5b66\u4f1a\u529e\u7684\u671f\u520a\u4e4b\u6240\u6709\u8fd8\u7559\u4e0b\uff0c\u662f\u56e0\u4e3a\u8fd9\u4e0a\u9762\u504f\u7269\u7406\u7684\u4e1c\u897f\u8fd8\u7b97\u4e0d\u5c11\u6863\u6b21\u4e5f\u4e0d\u4f4e\u3002\u53bb\u5fb7\u56fd\u7684\u65f6\u5019Whilhelm\u6559\u6388\u8fd8\u8bf4\u6211\u5f88\u50cfphysicist\u3002\u6211\u5c31\u7b97\u662f\u4ece\u4e00\u4e2a\u4e0d\u5408\u683c\u7684chemist\u53d8\u6210\u4e86\u4e2a\u5f88\u50cfphysicist\u7684non-ist\u4e86\u3002\u73b0\u5728\u6211\u4e3a\u4e86\u7f16\u5199\u5206\u6790LAOS\u6570\u636e\u7684\u7a0b\u5e8f\uff0c\u4e0d\u5f97\u4e0d\u72c2\u770bIEEE\u4e0a\u7684\u6587\u7ae0\uff0c\u53d8\u6210\u5f88\u50cfengineer\uff0c\u4f46\u4e00\u70b9\u90fd\u4e0dpioneer\u7684noneer\u4e86\u3002\u867d\u7136\u6211\u4e3b\u8981\u7684\u96be\u70b9\u662f\u5982\u4f55\u5b8c\u7f8e\u5730\u907f\u514dspectral leakage\uff0c\u9996\u5148\u8981\u505a\u7684\u4e8b\u60c5\u8fd8\u662f\u8981\u7814\u8bfbIEEE Standard for Digitizing Waveform Recorders\u3002\u80f6\u4f53\u51dd\u80f6\u7684\u89e6\u53d8\u6027\u6a21\u578b\u7b2c\u4e8c\u90e8\u5206\u5c31\u662f\u7269\u8272\u4e00\u4e2a\u5408\u9002\u7684\u6a21\u578b\u628a\u5b9e\u9a8c\u73b0\u8c61\u63cf\u8ff0\u4e00\u904d\u4ee5\u52a0\u6df1\u7406\u89e3\u3002\u76ee\u524d\u521d\u6b65\u67e5\u6587\u732e\u4e86\u89e3\u5230\u7684\u662fD. Cheng\u7b49\u5efa\u7acb\u7684\u73b0\u8c61\u5b66\u6a21\u578b\u548cD. Weitz\u3001J. Berg\u7b49\u5efa\u7acb\u7684\u5f39\u6027\u7f51\u7edc\u7684\u6a21\u578b\u3002\u9884\u526a\u5207\u3001\u51dd\u80f6\u5316\u3001\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u5b9e\u9a8c\u5e94\u8be5\u6bd4\u8f83\u597d\u63cf\u8ff0\uff0c\u56e0\u4e3a\u5f88\u53ef\u80fd\u73b0\u6210\u7684\u6587\u732e\u53c2\u8003\u4e86\u3002\u4f46\u662f\u5bf9\u4e8eLAOS\u3001\u5c24\u5176\u662f\u201c\u52a8\u7f6e\u201d\u548c\u201c\u5ef6\u8fdf\u5c48\u670d\u201d\u73b0\u8c61\u76ee\u524d\u8fd8\u6ca1\u5e95\uff0c\u4e0d\u77e5\u9053\u662f\u5426\u6765\u81ea\u4ee5\u524d\u6ca1\u6709\u4eba\u8003\u8651\u8fc7\u7684\u7ed3\u679c\u56e0\u7d20\u3002","rel":"","context":"In &quot;\u5de5\u4f5c\u7b14\u8bb0&quot;","block_context":{"text":"\u5de5\u4f5c\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/personal\/%e5%b7%a5%e4%bd%9c%e7%ac%94%e8%ae%b0"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":5073,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5073","url_meta":{"origin":516,"position":3},"title":"\u77e5\u4e4e\uff1a\u6ca5\u9752\u5982\u679c\u7b97\u4f5c\u6d41\u4f53\uff0c\u90a3\u662f\u4e0d\u662f\u5176\u4ed6\u7269\u8d28\u4e5f\u6709\u8fd9\u79cd\u7f13\u6162\u6d41\u52a8\u7684\u7279\u6027\uff0c\u53ea\u662f\u6211\u4eec\u5bdf\u89c9\u4e0d\u5230\uff1f","author":"Andrew","date":"2013\u5e741\u670812\u65e5","format":false,"excerpt":"\u539f\u6587\u94fe\u63a5\uff1ahttp:\/\/www.zhihu.com\/question\/20705539\/answer\/15926433 \u611f\u8c22@\u9673\u6d69\u00a0\u7684\u7b54\u6848\u3002 \u56de\u7b54\u95ee\u9898\uff1a\u662f\u7684\u3002\u6240\u6709\u7269\u8d28\u90fd\u6709\u6d41\u4f53\u7684\u7279\u6027\u3002\u4f46\u7531\u4e8e\u79cd\u79cd\u539f\u56e0\u6211\u4eec\u89c9\u5bdf\u4e0d\u5230\u3002 \u8fd9\u672c\u6765\u662f\u6d41\u53d8\u5b66\u7b2c\u4e00\u7ae0\u7eea\u8bba\u7684\u5185\u5bb9\u3002\u6211\u6070\u597d\u6700\u8fd1\u8bd5\u8bb2\u505a\u8fc7\u8fd9\u95e8\u8bfe\u7684PPT\u3002\u6709\u4e9b\u56fe\u7247\u53ef\u4ee5\u653e\u4e0a\u6765\u3002 \u4e00\u3001\u6ca5\u9752\u5b9e\u9a8c \u95ee\u9898\u4e2d\u7684\u6ca5\u9752\u5b9e\u9a8c\uff08The Pitch Experiment\uff09\u7f51\u4e0a\u6709\u5f88\u591a\u4ecb\u7ecd\u3002\u95ee\u9898\u4e2d\u7684\u90a3\u6bb5\u4ecb\u7ecd\u592a\u6545\u4e8b\u6027\u4e86\uff0c\u6211\u8865\u5145\u4e00\u4e9b\u5e73\u5b9e\u4e00\u70b9\u7684\u8d44\u6599\uff0c\u4f46\u4e0d\u8be6\u7ec6\u89e3\u91ca\u4e86\u3002 1984\u5e74 T. Parnell\u5728Eur. J. Phys.\u4e0a\u53d1\u8868\u4e86\u4e00\u7bc7\u6587\u7ae0\u63cf\u8ff0\u4e86\u8fd9\u4e00\u5b9e\u9a8c\uff0c\u9898\u76ee\u5c31\u662fThe pitch drop experiment\u3002 Eur. J. Phys.\u00a0(1984) 198-200.\u00a0doi:10.1088\/0143-0807\/5\/4\/003 \u622a\u6b62\u5230\u90a3\u4e00\u5e74\u4e3a\u6b62\uff0c\u4e00\u5171\u6536\u83b7\u4e866\u6ef4\uff0c\u6700\u540e\u4e00\u6ef4\u662f\u57281979\u5e74\u3002\u6839\u636e\u8fd9\u516d\u6ef4\u7684\u65f6\u95f4\uff0c\u5047\u8bbe\u6ca5\u9752\u5728\u7ba1\u5b50\u4e2d\u7684\u6d41\u52a8\u7b26\u5408\u6cca\u8083\u53f6\u5b9a\u5f8b\uff0c\u53ef\u4ee5\u4f30\u7b97\u6ca5\u9752\u7684\u7c98\u5ea6\u572810^6\u523010^8 Pa s\u8303\u56f4\u3002 Wikipedia\u7684\u8bcd\u6761\uff1aPitch drop experiment \u8bcd\u6761\u4e0b\u9762\u7684\u94fe\u63a5\u4e5f\u662f\u6bd4\u8f83\u6709\u4ef7\u503c\u7684\u8d44\u6599\u3002 \u4e0a\u4e00\u6ef4\u57282000\u5e74\uff0c\u7531\u4e8e\u6280\u672f\u539f\u56e0\u6ca1\u5f55\u4e0b\u5b9e\u51b5\u3002\u4e0b\u4e00\u6ef4\u9884\u8ba1\u5728\u4eca\u5e74\u4e0b\u843d\u3002\u5b9e\u51b5\u76f4\u64ad\u89c6\u9891\u5730\u5740\uff1a The Pitch Drop Experiment \u6709\u5174\u8da3\u7684\u670b\u53cb\u53ef\u4ee5\u7559\u610f\uff0c\u8bf4\u4e0d\u5b9a\u80fd\u4eb2\u773c\u770b\u5230\u6b64\u8fc7\u7a0b\u3002 \u4e8c\u3001\u7269\u8d28\u7684\u6d41\u52a8\u4e0e\u5f62\u53d8 \u8fd9\u5c31\u662f@\u9673\u6d69\u7b54\u6848\u4e2d\u5173\u4e8eDeborah\u6570\u7684\u5185\u5bb9\uff0c\u4f46\u662f\u53ef\u4ee5\u7528\u4e00\u4e2a\u66f4\u597d\u7406\u89e3\u8bf4\u6cd5\u3002\u5b9e\u9645\u7269\u8d28\u7684\u5f62\u53d8\u548c\u6d41\u52a8\u884c\u4e3a\u5230\u5e95\u201c\u50cf\u56fa\u4f53\u201d\u8fd8\u662f\u201c\u50cf\u6d41\u4f53\u201d\uff0c\u53d6\u51b3\u4e8e\u4f5c\u7528\u529b\u7684\u65f6\u95f4\u3002\u5982\u679c\u4f5c\u7528\u529b\u65f6\u95f4\u8db3\u591f\u957f\uff0c\u5ca9\u77f3\u4e5f\u662f\u6d41\u4f53\uff0c\u8bc1\u636e\u5c31\u662f\u5730\u8d28\u5b66\u4e2d\u89c2\u5bdf\u5230\u7684\u5ca9\u5c42\u8936\u76b1\u3002 \u6a61\u76ae\u6ce5\u5728\u4e0d\u540c\u5916\u529b\u4f5c\u7528\u65f6\u95f4\u4e0b\u7684\u884c\u4e3a\u4e5f\u4e0d\u540c\uff1a \u4ee5\u4e0a\u8fd9\u79cd\u73b0\u8c61\uff0c\u53eb\u7c98\u5f39\u6027\uff08viscoelasticity\uff09\uff0c\u6982\u5ff5\u5c31\u662f\uff0c\u7269\u8d28\u80fd\u5426\u6d41\u52a8\uff0c\u8981\u770b\u5916\u529b\u4f5c\u7528\u7684\u65f6\u95f4\u3002\u6709\u7684\u7269\u8d28\u4f5c\u7528\u4e00\u4f1a\u513f\u5c31\u6d41\u52a8\u4e86\uff0c\u6709\u7684\u7269\u8d28\u8981\u4f5c\u7528\u5f88\u957f\u65f6\u95f4\u624d\u6d41\u52a8\uff0c\u7269\u8d28\u81ea\u5df1\u7279\u6709\u4e00\u4e2a\u7279\u5f81\u65f6\u95f4\uff0c\u6240\u4ee5\u6709Deborah\u6570\u8fd9\u4e00\u6982\u5ff5\u3002\u7fa4\u5c71\u5728\u4e0a\u5e1d\u9762\u524d\u6d41\u52a8\uff0c\u662f\u56e0\u4e3a\u4e0a\u5e1d\u6ca1\u6709\u5bff\u547d\u95ee\u9898\uff0c\u4e5f\u5c31\u6ca1\u6709\u65f6\u95f4\u957f\u77ed\u7684\u6982\u5ff5\u3002\u90a3\u4e48\u5728\u4ed6\u773c\u4e2d\uff0c\u771f\u6b63\u662f\u4e07\u7269\u7686\u6d41\uff08panta rhei\uff09\u3002 \u8fd8\u6709\u4e00\u79cd\u73b0\u8c61\uff0c\u53eb\u5c48\u670d\uff0c\u662f\u8bf4\uff0c\u7269\u8d28\u80fd\u5426\u6d41\u52a8\uff0c\u8ddf\u5916\u529b\u4f5c\u7528\u65f6\u95f4\u65e0\u5173\uff08\u6216\u8bf4\u5173\u7cfb\u4e0d\u5927\uff0c\u56e0\u6bd5\u7adf\u4e07\u7269\u7686\u6d41\uff09\uff0c\u800c\u8ddf\u5916\u529b\u7684\u5927\u5c0f\u6709\u5173\uff0c\u5b58\u5728\u4e00\u4e2a\u4e34\u754c\u7684\u5927\u5c0f\uff0c\u53eb\u5c48\u670d\u5e94\u529b\u3002\u4ee5\u4e0a\u8fd9\u676f\u4e1c\u897f\uff0c\u9760\u91cd\u529b\u662f\u6324\u4e0d\u51fa\u6765\u7684\u3002\u52a0\u4e0a\u4e00\u4e2a1000g\u7684\u781d\u7801\uff0c\u4e5f\u6324\u4e0d\u51fa\u6765\uff08\u4e0d\u662f\u65f6\u95f4\u7684\u95ee\u9898\uff09\uff1b\u4f46\u52a0\u4e0a\u4e00\u4e2a4000g\u7684\u781d\u7801\uff0c\u5c31\u987a\u5229\u7684\u4e0d\u65ad\u88ab\u6324\u51fa\u6765\u4e86\u3002\u5b83\u7684\u7c98\u5f39\u6027\u4e0d\u663e\u8457\uff0c\u4f46\u5b58\u5728\u4e00\u4e2a\u57281000~4000g\u4e4b\u95f4\u7684\u5c48\u670d\u5e94\u529b\u3002 \u8fd9\u5c31\u9020\u6210\uff0c\u533a\u5206\u6d41\u4f53\u8fd8\u662f\u975e\u6d41\u4f53\uff0c\u4e0d\u8c08\u5916\u529b\u7684\u5927\u5c0f\u548c\u4f5c\u7528\u65f6\u95f4\u7684\u8bdd\u662f\u6ca1\u6709\u610f\u4e49\u7684\u3002 \u6211\u63a8\u8350\u8fd9\u4e00\u89c6\u9891\uff1a http:\/\/www.youtube.com\/watch?v=Ol6bBB3zuGc \u987a\u4fbf\u95ee\u95ee\u5982\u4f55\u7ed9\u4e00\u4e2a\u89c6\u9891\u52a0\u4e0a\u4e2d\u6587\u5b57\u5e55\uff1f\u6211\u60f3\u542c\u8bd1\u8be5\u89c6\u9891\u540e\u52a0\u4e0a\u4e2d\u6587\u5b57\u5e55\uff0c\u5c06\u6765\u4e0a\u8bfe\u7684\u65f6\u5019\u7ed9\u5b66\u751f\u770b\u3002 \u4e09\u3001\u73bb\u7483\u6001 \u5f88\u4e0d\u5e78\uff0c\u8fd9\u4e2a\u95ee\u9898\u53c8\u626f\u5230\u4e86\u201c\u73bb\u7483\u201d\u3002\u6211\u7814\u7a76\u7684\u7b97\u662f\u8fd9\u4e00\u5757\uff0c\u4f46\u6211\u5f88\u5bb3\u6015\u8fd9\u4e2a\u8bcd\u3002 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kernel\u548c\u7c98\u5f39\u6027\u6837\u54c1\u56de\u9988\u7ed9\u6d41\u53d8\u4eea\u8f6c\u5b50\u8fd0\u52a8\u7684\u7c98\u5f39\u6027kernel\u4e4b\u95f4\u7684\u4e00\u822c\u5173\u7cfb\uff0c\u4e5f\u5f88\u65e9\u5c31\u7531Zwanzig\u7ed9\u51fa\u3002\u4ee5\u73b0\u6709\u7684\u57fa\u7840\uff0c\u5b8c\u5168\u53ef\u4ee5\u8ba4\u771f\u5730\u7ed9\u51fa\u4e00\u4e2a\u5fae\u6d41\u53d8\u4e0e\u5b8f\u89c2\u6d41\u53d8\u5728\u4e00\u822c\u7c98\u5f39\u6027\u60c5\u51b5\u4e0b\u7684\u4e25\u683c\u5bf9\u5e94\u7406\u8bba\u3002","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":5118,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5118","url_meta":{"origin":516,"position":5},"title":"\u4e73\u6db2\u4f53\u7cfb\u6d41\u53d8\u5b66","author":"Andrew","date":"2013\u5e741\u670824\u65e5","format":false,"excerpt":"[mathjax]\u524d\u6bb5\u65f6\u95f4\u56e0\u4fee\u6539\u4e00\u7bc7\u4e73\u6db2\u6d41\u53d8\u5b66\u6587\u7ae0\u7684\u7f18\u6545\uff0c\u81ea\u5df1\u67e5\u9605\u4e86\u4e00\u756a\u76f8\u5173\u6587\u732e\uff0c\u5728\u51e0\u5f20\u8349\u7a3f\u7eb8\u4e0a\u505a\u4e86\u4e9b\u4e0d\u592a\u5b8c\u6574\u7684\u603b\u7ed3\uff0c\u4e00\u76f4\u7b80\u5355\u585e\u5728\u67d0\u4e2a\u5730\u65b9\u3002\u73b0\u5728\u89c9\u5f97\u8fd8\u662f\u6b63\u5f0f\u8bb0\u5f55\u4e0b\u6765\u6bd4\u8f83\u597d\uff0c\u4e0d\u7136\u5c06\u6765\u7eb8\u6389\u4e86\u5c31\u5de5\u592b\u5c31\u767d\u8d39\u4e86\u3002\u5206\u6563\u4f53\u7cfb\u7684\u6d41\u53d8\u5b66\u5927\u81f4\u4e0a\u9700\u8981\u8ba8\u8bba\u7684\u5185\u5bb9\u5206\u51e0\u5757\uff1a\u96f6\u5207\u7c98\u5ea6\\(\\eta_{0}\\)\u5bf9\u586b\u5145\u4f53\u79ef\u5206\u6570\\(\\phi\\)\u7684\u5173\u7cfb\u3002\u526a\u5207\u7c98\u5ea6\u5bf9\u526a\u5207\u901f\u7387\u7684\u5173\u7cfb\uff0c\\(\\eta\\sim\\dot{\\gamma}\\)\u7ebf\u6027\u7c98\u5f39\u6027\u975e\u7ebf\u6027\u77ac\u6001\u884c\u4e3a\u6bcf\u5757\u5185\u5bb9\u90fd\u9700\u8981\u6309\u7167\u7a00\u3001\u534a\u7a00\u548c\u6d53\u6765\u8ba8\u8bba\u3002\u4e73\u6db2\u4e0e\u786c\u7403\u60ac\u6d6e\u6db2\u4f53\u7cfb\u6709\u76f8\u4f3c\u4e4b\u5904\uff0c\u4f46\u4e5f\u6709\u533a\u522b\u3002\u4e00\u662f\u754c\u9762\u5f20\u529b\u7684\u8d21\u732e\uff0c\u4e8c\u662f\u6db2\u6ef4\u662f\u6db2\u6001\uff0c\u672c\u8eab\u53ef\u6d41\u52a8\u548c\u53d8\u5f62\uff08\u5176\u5b9e\u7b2c\u4e00\u4e5f\u53ef\u5f52\u4e3a\u7b2c\u4e8c\uff09\u3002\u6240\u4ee5\uff0c\u5148\u7b80\u5355\u603b\u7ed3\u786c\u7403\u7684\u60c5\u51b5\uff0c\u4ee5\u4fbf\u5206\u6e05\u4e73\u6db2\u6709\u54ea\u4e9b\u60c5\u51b5\u4e0d\u662f\u5b83\u7684\u7279\u6b8a\u6027\u3002\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u672c\u6587\u7684\u5185\u5bb9\u5728The Structure and Rheology of Complex Fluids\uff08Ronald G. Larson, Oxford University Press, 1999\uff09\u4e00\u4e66\u91cc\u5df2\u7ecf\u6709\u5f88\u7cfb\u7edf\u7684\u603b\u7ed3\u4e86\u3002\u6211\u5728\u8fd9\u91cc\u662f\u628a\u5b9e\u9645\u5927\u5bb6\u6700\u559c\u6b22\u7528\u7684\u5f0f\u5b50\u6311\u51fa\u6765\uff0c\u4e5f\u5bf9\u8be5\u4e66\u6ca1\u8bb2\u5230\u7684\u90e8\u5206\u505a\u4e86\u4e00\u4e9b\u8865\u5145\u3002\u65e0\u76f8\u4e92\u4f5c\u7528\u786c\u7403\u4f53\u7cfb\u96f6\u5207\u7c98\u5ea6\\(\\eta_0\\sim\\phi\\)\uff0c\u4e09\u4e2a\u65b9\u7a0b\uff1aEinstein\u3001Bachelor\u3001Krieger-Dougherty\u3002\u8fd9\u4e09\u4e2a\u65b9\u7a0b\u975e\u5e38\u5e38\u89c1\uff0c\u4e0a\u7f51\u641c\u4e00\u4e0b\u90fd\u6709\u3002\u4e8b\u5b9e\u4e0a\u53ea\u6709Einstein\u662ffirst principle\u7684\u3002\u8fd9\u4e09\u4e2a\u65b9\u7a0b\u5e38\u5e38\u88ab\u7528\u6765\u6807\u5b9a\u60ac\u6d6e\u6db2\u7684\u4f53\u79ef\u5206\u6570\u3002\u6211\u4e2a\u4eba\u89c9\u5f97\u53ea\u6709\u4fdd\u8bc1\u4f53\u7cfb\u662f\u5178\u578b\u7684\u65e0\u76f8\u4e92\u4f5c\u7528\u5355\u5206\u6563\u786c\u7403\u624d\u53ef\u9760\u3002\u4f46\u5f80\u5f80\u7528\u7684\u573a\u5408\u90fd\u662f\u5fae\u51dd\u80f6\u6216\u8005\u4e73\u6db2\u7684\u60c5\u51b5\u3002\u800c\u4e14\uff0c\u7528Krieger-Dougherty\u6765\u6807\u5b9a\u6d53\u60ac\u6d6e\u6db2\u4f53\u79ef\u5206\u6570\u7684\u65f6\u5019\uff0c\u4f60\u5fc5\u987b\u5148\u5047\u5b9a\u4e00\u4e2a\u6700\u5927\u4f53\u79ef\u5206\u6570\\(\\phi_\\textrm{max}\\)\uff08\u5b9e\u9645\u4e0a\u5c31\u662f\u4f7fKrieger-Dougherty\u5f0f\u4e2d\u7684\u7c98\u5ea6\u53d1\u6563\u7684\u4f53\u79ef\u5206\u6570\uff09\uff0c\u4f46\u662f\u8fd9\u4e2a\\(\\phi_\\textrm{max}\\)\u7684\u53d6\u503c\u6709\u4efb\u610f\u6027\uff0c\u75280.58\u30010.64\u3001\\(\\pi\\sqrt{2}\/6\\)\u7684\u90fd\u6709\uff0c\u90fd\u6709\u7406\u7531\uff08\u4f9d\u6b21\u662f\u73bb\u7483\u5316\u3001random close packing\u548crhomboidal dodecahedron packing\uff09\u3002\u6211\u5012\u662f\u6ca1\u8bd5\u8fc7\u5bf9\u4e8e\u540c\u4e00\u5957\u6570\u636e\uff0c\u5047\u5b9a\u4e0d\u540c\u7684\\(\\phi_\\textrm{max}\\)\u503c\u6765\u6807\u5b9a\\(\\phi\\)\u4f1a\u5dee\u591a\u5c11\u3002\u8ddf\u8fd9\u4e00\u5173\u7cfb\u76f8\u5e76\u5217\u7684\uff0c\u662f\u5f53\\(\\phi>\\phi_\\textrm{max}\\)\u65f6\u5e73\u53f0\u6a21\u91cf\\(G_\\textrm{p}\\)\u5bf9\\(\\phi\\)\u7684\u5173\u7cfb\u3002\u5012\u662f\u6709\u4e00\u4e2a\u8ddf\u7c92\u5b50\u76f8\u4e92\u4f5c\u7528\u52bf\u80fd\u6709\u5173\u7684\u7b80\u5355\u5173\u7cfb\uff1a$$G_\\textrm{p}\\propto\\frac{1}{r}\\left(\\frac{\\partial^2U\\left(r\\right)}{\\partial r^2}\\right)$$\u526a\u5207\u7c98\u5ea6\\(\\eta_\\textrm{r}\\sim\\textrm{Pe}\\)\u3002\u8fd9\u4e2a\u5173\u7cfb\uff0c\u597d\u50cf\u53ea\u6709\u8f83\u6d53\u7684\u60ac\u6d6e\u6db2\uff08\u53d1\u751f\u526a\u5207\u53d8\u7a00\uff09\u624d\u6709\u610f\u4e49\u3002\u552f\u8c61\u7684\u7eaf\u526a\u5207\u7684\u6d41\u53d8\u5b66\u6a21\u578b\u5f88\u5e38\u7528\u7684\u662fCasson\u6216\u8005Cross\u3002Casson\u65b9\u7a0b\u542b\u6709\u4e00\u4e2a\u201c\u5c48\u670d\u5e94\u529b\u201d$$\\sigma^{\\frac{1}{2}}=\\sigma_\\textrm{y}^{\\frac{1}{2}}+c\\dot{\\gamma}^{\\frac{1}{2}}$$\u4f46\u662f\u7528\u8fd9\u4e2a\u65b9\u7a0b\u62df\u5408\u5f97\u5230\u7684\u5c48\u670d\u5e94\u529b\u8ddf\u505a\u8815\u53d8\u5f97\u5230\u7684\u9759\u6001\u5c48\u670d\u5e94\u529b\u5f80\u5f80\u6709\u5dee\u3002Cross\u65b9\u7a0b\uff1a$$\\eta_\\textrm{r}=\\eta_{\\textrm{r}\\infty}+\\frac{\\eta_\\textrm{r0}-\\eta_{\\textrm{r}\\infty}}{1+\\left(b\\sigma_\\textrm{r}\\right)^m}$$\u5176\u4e2d\\(\\sigma_\\textrm{r}=a^3\\sigma\/k_\\textrm{B}T\\)\u3002\u81f3\u4e8e\u7ed3\u6784\u6a21\u578b\u5c31\u6d89\u53ca\u5230\u80f6\u4f53\u73bb\u7483\u7684\u95ee\u9898\u4e86\u3002\u5982\u679c\u662f\u786c\u7403\u4f53\u7cfb\u53ef\u4ee5\u5229\u7528schematic MCT\u7684\u7ed3\u679c\u6765\u8bd5\u8bd5\u3002\u7ebf\u6027\u7c98\u5f39\u6027\u5bf9\u4e8e\u6d53\u4f53\u7cfb\u8fd8\u662f\u53ef\u4ee5\u8bd5\u7528schematic MCT\u7684\uff0c\u6216\u8005\u7528\u8fd9\u4e00\u4e2a\u66f4\u7b80\u5355\u7684\u7248\u672c\uff1aPRL 75, 2770 (1995)\u3002\u8fd9\u4e2a\u5f0f\u5b50\u5b9e\u9645\u62df\u5408\u53c2\u6570\u5f88\u591a\uff0c\u4efb\u610f\u5ea6\u5f88\u5927\u3002\u7a00\u548c\u534a\u7a00\u4f53\u7cfb\u7684\u7ebf\u6027\u7c98\u5f39\u6027\u600e\u6837\uff0c\u6211\u6ca1\u6709\u67e5\u9605\u548c\u603b\u7ed3\u3002\u975e\u7ebf\u6027\u77ac\u6001\u884c\u4e3a\u540c\u6837\uff0cschematic MCT\u7684\u63a8\u5e7f\u4e5f\u6709\u5230time-dependent shear\u7684\u60c5\u5f62\uff0c\u6240\u4ee5\u80fd\u628aschematic MCT\u770b\u61c2\u7684\u8bdd\uff0c\u65e0\u76f8\u4e92\u4f5c\u7528\u786c\u7403jamming\u4f53\u7cfb\u7684\u6d41\u53d8\u5b66\u662f\u53ef\u4ee5\u83b7\u5f97\u7406\u8bba\u63cf\u8ff0\u7684\u3002\u95ee\u9898\u662f\uff0c\u5177\u6709\u7c7b\u4f3c\u6d41\u53d8\u5b66\u884c\u4e3a\u7684\u8fd8\u6709\u80f6\u4f53\u51dd\u80f6\u4f53\u7cfb\uff0c\u7528MCT\u53bb\u7b97\u5c31\u6ca1\u4ec0\u4e48\u7406\u7531\u3002\u6211\u6ca1\u6709\u67e5\u6700\u8fd1\u7684\u6587\u732e\u3002\u4eceLarson\u7684\u4e66\u91cc\u770b\u5230\uff0c\u51dd\u80f6\u4f53\u7cfb\u4e5f\u6709\u4e00\u4e9b\u4ece\u7c92\u5b50\u76f8\u4e92\u4f5c\u7528\u51fa\u53d1\u534a\u7ecf\u9a8c\u7684\u7ed3\u6784\u6a21\u578b\uff0c\u4f46\u591a\u6570\u662f\u9884\u6d4b\u4e00\u4e0b\u5c48\u670d\u5e94\u529b\uff0c\u6ca1\u6709\u5230\u9884\u6d4btime-dependent shear\u8fd9\u4e48\u5b8c\u6574\u3002\u7528\u6d41\u53d8\u5b66\u672c\u6784\u65b9\u7a0b\u7684\u5c31\u4e0d\u5728\u6b64\u603b\u7ed3\u4e86\uff0c\u6211\u7684\u5174\u8da3\u662f\u5982\u4f55\u80fd\u5c06\u6d41\u53d8\u5b66\u8ddf\u7ed3\u6784\u8054\u7cfb\u8d77\u6765\u3002\u4e73\u6db2\u4f53\u7cfb\u4e73\u6db2\u4f53\u7cfb\u8981\u8003\u8651Ca\u503c\u3002\u6211\u4e3b\u8981\u603b\u7ed3\\(\\textrm{Ca}\\ll1\\)\u7684\u60c5\u51b5\u3002\u96f6\u5207\u7c98\u5ea6\u7a00\u4e73\u6db2\uff0c\u8ddf\u786c\u7403\u5df2\u7ecf\u5f88\u63a5\u8fd1\u4e86\u3002Talor\u8003\u8651\u4e86\u6db2\u6ef4\u76f8\u672c\u8eab\u5728\u6d41\u573a\u4e2d\u4f1a\u6253\u8f6c\uff0c\u4f7f\u7c98\u5ea6\u964d\u4f4e\uff0c\u5f0f\u5b50\u662f\uff1a$$\\eta_\\textrm{r}=1+\\frac{1+\\frac{5}{2}M}{1+M}\\phi$$\u5176\u4e2d\\(M=\\eta_\\textrm{d}\/\\eta_\\textrm{s}\\)\u3002\u6d53\u4e00\u70b9\u7684\uff0c\u7528Pal\u7684\u51e0\u4e2a\u5f0f\u5b50\u3002\u6d53\u6d6e\u6db2\u4ea7\u751f\u7684\u53e6\u4e00\u4e2a\u4e0e\u786c\u7403\u4e0d\u540c\u7684\u56e0\u7d20\u5c31\u662f\u6db2\u6ef4\u7c98\u5728\u4e00\u8d77\u6709\u4e00\u5b9a\u7684\u63a5\u89e6\u89d2\uff0c\u63a5\u89e6\u754c\u9762\u7531\u4e24\u5c42\u6d3b\u6027\u5242\u5206\u5b50\uff0c\u6709\u4e00\u5b9a\u539a\u5ea6\u3002\u6709\u6548\u4f53\u79ef\u5206\u6570\u7684\u8ba8\u8bba\u89c1Princen\u7b49\u3002\u53e6\u5916\uff0c\u867d\u7136\\(\\textrm{Ca}\\ll1\\)\uff0c\u4f46\u662f\u6d53\u4e86\u4e4b\u540e\u6db2\u6ef4\u8fd8\u662f\u4f1a\u6324\u538b\u53d1\u751f\u53d8\u5f62\uff0c\u8fd9\u65f6\u54ea\u6015\u4e0d\u53d8\u5f62\u65f6\u5df2\u8fbe\u5230\u751a\u81f3\u8d85\u8fc7\\(\\phi_\\textrm{max}\\)\uff0c\u4f46\u901a\u8fc7\u53d8\u5f62\u4ecd\u7136\u53ef\u4ee5\u6ed1\u79fb\uff0c\u6240\u4ee5\u7c98\u5ea6\u4e0d\u4f1a\u53d1\u6563\u3002\u8fd9\u4e00\u6548\u5e94\u6ca1\u6709\u8fd8\u6ca1\u67e5\u5230\u7ed3\u6784\u7406\u8bba\u6a21\u578b\uff0c\u5b9e\u9a8c\u53ef\u53c2\u8003Colloids Surf. A 299, 65 (2007)\u3002\\(\\phi_\\textrm{max}\\)\u4ee5\u4e0a\uff0c\u6a21\u91cf\u968f\\(\\phi\\)\u7684\u53d8\u5316\uff0c\u53c2\u89c1J. Non-Newt. Fluid Mech. 105, 21 (2002)\u3002\u6216\u8005Princen\u526a\u5207\u7c98\u5ea6Princen\u3002\u7ebf\u6027\u7c98\u5f39\u6027\u7a00\u7684\u7528Palierne\u7684\u6a21\u578b\uff0c\u592a\u51fa\u540d\u4e86\uff0c\u4e0d\u5f15\u4e86\u3002\u6d53\u7684\u6ca1\u6709\uff0c\u53ef\u80fd\u53ef\u4ee5\u7528MCT\uff1f\u975e\u7ebf\u6027\u77ac\u6001\u884c\u4e3a\u518d\u6b21\u5f3a\u8c03\u6211\u53ea\u603b\u7ed3\\(\\textrm{Ca}\\ll1\\)\u7684\u60c5\u51b5\u3002\u6db2\u6ef4\u53d8\u5f62\u90a3\u4e00\u5927\u5757\u6709\u5f88\u591a\u6a21\u578b\u53ef\u4ee5\u505a\u5230time-dependent shear\u3002Princen\u7ed9\u8fc7\u4e00\u4e2a\u6d53\u6d6e\u6db2\u5c48\u670d\u5e94\u529b\u7684\u5f0f\u5b50[backref name=\"118\"]\u3002\u800c\u5bf9\u4e8etime-dependent shear\uff0c\u6211\u627e\u5230\u4e00\u7bc7J. Fluid Mech. 463, 1 (2002)\u662f\u8003\u8651\u7a00\u6d6e\u6db2\u7684\u3002\u4f46\u597d\u50cf\u8fd8\u6ca1\u6709\u4eba\u53bb\u4f7f\u7528\u3002","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/516","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/comments?post=516"}],"version-history":[{"count":0,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/516\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/media?parent=516"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/categories?post=516"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/tags?post=516"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}