A numerical study of mixed convection in a vertical channel flow impinging on a horizontal surface |
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| Affiliation: | 1. Department of Mechanical Engineering, Babol University of Technology, Babol, Islamic Republic of Iran;2. Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai 201804, China;3. ENN-Tongji Clean Energy Institute of advanced studies, Shanghai, China;1. Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur 1700, Bangladesh;2. Universiti Brunei Darussalam, Faculty of Science, Mathematical and Computing Sciences Group, BE 1410, Brunei;3. Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh;4. Vice Presidency for Projects, King Saud University, P.O. 70908, 11577 Riyadh, Saudi Arabia;5. Mechanical Power Dept., Faculty of Engineering-Mattaria, Helwan University, Cairo 11718, Egypt;1. Department of Mathematics, VIT University, Vellore 632014, India;2. Department of Mathematical Sci., Federal University of Technology, Akure, Ondo State, Nigeria |
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| Abstract: | In this study, mixed convection in a vertical channel flow discharging over a horizontal isotherm surface is investigated numerically using a finite difference method based on projection algorithm. The governing equations are discretized by a second order central difference in space and first order in time. The average Nusselt number is calculated on the horizontal surface in various vertical channels of varying areas considering non-dimensional parameters consisting of Reynolds and Richardson (or Grashof) numbers. Analysis of the results shows that there is an optimum gap to have a maximum heat transfer rate over the surface. The optimum gap value varies with Grashof and Reynolds numbers and inlet length of the channel but for high Richardson numbers, Nu has an increasing trend with reduction of gap size. By increasing the Re, Gr and Ri numbers, Nu number increases but in Ri of 0.1 and 0.01 the variations are approximately similar to each other. In addition, a divergent channel is usually more efficient than convergent one concerning heat transfer over the horizontal surface. Effects of Prandtl number and asymmetricity in channel are investigated in detail too. |
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