{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T02:46:40Z","timestamp":1770518800671,"version":"3.49.0"},"reference-count":42,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2019,5,8]],"date-time":"2019-05-08T00:00:00Z","timestamp":1557273600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The Couette\u2013Poiseuille flow of couple stress fluid with magnetic field between two parallel plates was investigated. The flow was driven due to axial pressure gradient and uniform motion of the upper plate. The influence of heating at the wall in the presence of spherical and homogeneous Hafnium particles was taken into account. The temperature dependent viscosity model, namely, Reynolds\u2019 model was utilized. The Runge\u2013Kutta scheme with shooting was used to tackle a non-linear system of equations. It was observed that the velocity decreased by increasing the values of the Hartman number, as heating of the wall reduced the effects of viscous forces, therefore, resistance of magnetic force reduced the velocity of fluid. However, due to shear thinning effects, the velocity was increased by increasing the values of the viscosity parameter, and as a result the temperature profile also declined. The suspension of inertial particles in an incompressible turbulent flow with Newtonian and non-Newtonian base fluids can be used to analyze the biphase flows through diverse geometries that could possibly be future perspectives of proposed model.<\/jats:p>","DOI":"10.3390\/sym11050647","type":"journal-article","created":{"date-parts":[[2019,5,9]],"date-time":"2019-05-09T11:22:35Z","timestamp":1557400955000},"page":"647","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":61,"title":["Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7805-8259","authenticated-orcid":false,"given":"Rahmat","family":"Ellahi","sequence":"first","affiliation":[{"name":"Center for Modeling &amp; Computer Simulation, Research Institute, King Fahd University of Petroleum &amp; Minerals, Dhahran 31261, Saudi Arabia"},{"name":"Department of Mathematics &amp; Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2641-1575","authenticated-orcid":false,"given":"Ahmed","family":"Zeeshan","sequence":"additional","affiliation":[{"name":"Department of Mathematics &amp; Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, Pakistan"}]},{"given":"Farooq","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics &amp; Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, Pakistan"},{"name":"Department of Mathematics, Faculty of Arts and Basic Sciences (FABS), Balochistan University of Information Technology, Engineering, and Management Sciences (BUITEMS), Quetta 87300, Pakistan"}]},{"given":"Tehseen","family":"Abbas","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Education Lahore, Faisalabad Campus, Faisalabad 38000, Pakistan"}]}],"member":"1968","published-online":{"date-parts":[[2019,5,8]]},"reference":[{"key":"ref_1","first-page":"9","article-title":"Steady Poiseuille flow and heat transfer of couple stress fluids between two parallel inclined plates with variable viscosity","volume":"14","author":"Farooq","year":"2013","journal-title":"J. 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