Effect of heat generation or absorption on thermophoretic free convection boundary layer from a vertical flat plate embedded in a porous medium |
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| Affiliation: | 1. Manufacturing Engineering Department, PAAET, Shuweikh, Kuwait;2. Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania;1. Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria;2. Fluid Dynamics Division, VIT University, Vellore 632014, India;1. Department of Studies and Research in Mathematics, Davangere University, Davangere 577002, Karnataka, India;2. Department of Mathematics, K.L.E. Society’s J.T. College, Gadag, 582101 Karnataka, India;3. Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad 44000, Pakistan;4. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;5. Department of Mathematics, Huzhou University, Huzhou 313000, PR China;1. Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran;2. Department of Mechanical Engineering, Mazandaran University of Science and Technology, Babol, Iran;1. Department of Mathematics, Government College University Faisalabad, 38000, Pakistan;2. Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia;3. Mathematical Modelling and Applied Computation Research Group (MMAC), Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah, 21589, Saudi Arabia |
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| Abstract: | This paper is focused on the study of coupled heat and mass transfer by boundary-layer free convection over a vertical flat plate embedded in a fluid-saturated porous medium in the presence of thermophoretic particle deposition and heat generation or absorption effects. The governing partial differential equations are transformed into ordinary differential equations by using special transformations. The resulting similarity equations are solved numerically by an efficient implicit tri-diagonal finite-difference method. Comparisons with previously published work are performed and the results are found to be in excellent agreement. Many results are obtained and a representative set is displayed graphically to illustrate the influence of the heat generation or absorption coefficient, buoyancy ratio and the Lewis number on the temperature and concentration profiles and the wall thermophoretic deposition velocity. |
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