Numerical study of transient free convective mass transfer in a Walters-B viscoelastic flow with wall suction |
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Affiliation: | 1. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China;3. Department of Mathematics, Namal Institute Mianwali, 30-KM Talagang Road Mianwali 42250 Pakistan;1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia;3. Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, UAE;4. Department of Mathematics, Faculty of Science, University of Jordon, Amman 11942, Jordon |
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Abstract: | A transient model for the free convective, nonlinear, steady, laminar flow and mass transfer in a viscoelastic fluid from a vertical porous plate is presented. The Walters-B liquid model is employed which introduces supplementary terms into the momentum conservation equation. The transformed conservation equations are solved using the finite difference method (FDM). The influence of viscoelasticity parameter (Γ), species Grashof number (Gc), Schmidt number (Sc), distance (Y) and time (t) on the velocity (U) and also concentration distribution (C) is studied graphically. Velocity is found to increase with a rise in viscoelasticity parameter (Γ) with both time and distances close to the plate surface. An increase in Schmidt number is observed to significantly decrease both velocity and concentration in time and also with separation from the plate. Increasing species Grashof number boosts the flow velocity through all time and causes a significant rise primarily near the plate surface. The study has applications in polymer materials processing. |
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