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The numerical results are compared with the Navier\u2013Stokes solutions, with and without SJBC, through the velocity, temperature, and normal heat flux profiles. The parallel heat flux and shear stress are also evaluated as a function of rarefaction degree; estimated by the Knudsen number<jats:inline-formula id=\"j_mcma-2016-0117_ineq_9999_w2aab2b8e1107b1b7b1aab1c13b1b1Aa\"><jats:alternatives><m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><m:msub><m:mi>K<\/m:mi><m:mi>n<\/m:mi><\/m:msub><\/m:math><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" content-type=\"j_mcma-2016-0117_ineq_9999\" xlink:href=\"graphic\/j_mcma-2016-0117_eq_mi97.png\"\/><jats:tex-math>${K_{n}}$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>. Thus, the breakdown of the classical Navier\u2013Stokes theory is clarified in the non-equilibrium area, so-called Knudsen layer, near the top and bottom sides.<\/jats:p>","DOI":"10.1515\/mcma-2016-0117","type":"journal-article","created":{"date-parts":[[2016,11,17]],"date-time":"2016-11-17T10:02:10Z","timestamp":1479376930000},"page":"337-347","source":"Crossref","is-referenced-by-count":12,"title":["The planar Couette flow with slip and jump boundary conditions in a microchannel"],"prefix":"10.1515","volume":"22","author":[{"given":"Mohamed","family":"Hssikou","sequence":"first","affiliation":[{"name":"Moulay Ismail University, Meknes, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jamal","family":"Baliti","sequence":"additional","affiliation":[{"name":"Moulay Ismail University, Meknes, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammed","family":"Alaoui","sequence":"additional","affiliation":[{"name":"Moulay Ismail University, Meknes, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2016,11,17]]},"reference":[{"key":"2023040102000312872_j_mcma-2016-0117_ref_001_w2aab2b8e1107b1b7b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"Amiri-Jaghargh A., Roohi E., Stefanov S., Nami H. and Niazmand H., DSMC simulation of micro\/nano flows using SBT-TAS technique, Comput. & Fluids 102 (2014), 266\u2013276.","DOI":"10.1016\/j.compfluid.2014.07.003"},{"key":"2023040102000312872_j_mcma-2016-0117_ref_002_w2aab2b8e1107b1b7b1ab2ab2Aa","unstructured":"Bird G. 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