Heatline method for the visualization of natural convection in a complicated cavity |
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| Authors: | Amaresh Dalal Manab Kumar Das |
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| Affiliation: | 1. Department of Mechanical Engineering, Celal Bayar University, Manisa 45140, Turkey;2. Department of Mechanical Engineering, Technology Faculty, F?rat University, Elaz?? 23119, Turkey;1. Young Researchers and Elite Club, Yasooj Branch, Islamic Azad University, Yasooj, Iran;2. Mechanical Engineering Department, Faculty of Engineering, Lorestan University, Khorramabad, Iran;3. Mechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia;4. RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box 10021, Ras Al Khaimah, United Arab Emirates;5. Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050, Tomsk, Russia;1. Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia;2. Refrigeration & Air-conditioning Technical Engineering Department, College of Technical Engineering, The Islamic University, Najaf, Iraq |
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| Abstract: | In this paper, natural convection inside a two-dimensional cavity with a wavy right vertical wall has been carried out. The bottom wall is heated by a spatially varying temperature and other three walls are kept at constant lower temperature. The integral forms of the governing equations are solved numerically using finite-volume method in non-orthogonal body-fitted coordinate system. SIMPLE algorithm with higher-order upwinding scheme are used. The method of numerical visualization of heat transport for convective heat transfer by heatlines is studied. The heatfunction equation in the transformed plane is solved in terms of dimensionless variables. Results are presented in the form of streamlines, isotherms, heatlines, local and average Nusselt number distribution for a selected range of Rayleigh number (100–106). The results are presented for three different undulations (1–3) with different wave amplitude (0.00–0.10) and a fluid having Prandtl number 0.71. |
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