Uni-directional heat flux through the horizontal fluid layer with sinusoidal wall temperature at the top or bottom boundaries |
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| Authors: | Qiu-Wang Wang Gang Wang Min Zeng Hiroyuki Ozoe |
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| Affiliation: | 1. State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, PR China;2. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, PR China;1. Department of Mathematics, Bharathiar University, Coimbatore 641046, Tamil Nadu, India;2. Division of Mechanical Engineering, College of Engineering,Korea Maritime Ocean University, Busan 606781, South Korea;1. Universté de Tunis El Manar, Faculté des Sciences de Tunis, LETTM, 2092 Tunis, Tunisia;2. Ecole Normale Supérieure de Cachan, Dpt. Génie Civil, 61, Av. Président Wilson, 94235 Cachan, France;3. Université Henri Poincaré-Nancy1, LERMAB=Institut Carnot, Cosnes et Romain, France;1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China;2. State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China;1. Department of Ocean and Mechanical Engineering, Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431, USA;2. Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada;1. Dr. S.S. Bhatnagar University Institute of Chemical Engineering and Technology, Panjab University, Chandigarh 160014, India;2. University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, India;3. Energy Research Centre, Panjab University, Chandigarh 160014, India |
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| Abstract: | Infinite horizontal fluid layer is considered between the top and bottom walls. Either top or bottom wall temperature is sinusoidally oscillated in terms of the constant average temperature in an opposing horizontal wall. This is the system with no temperature difference between the top and bottom walls in time-averaged sense, as studied by Kalabin et al. for a square channel. The fluid is Newtonian and Boussinesq approximation is made. The fluid layer of height 1 versus the horizontal width 1 or 4 is adopted and numerical computations are carried out for Pr = 1. The time-averaged Nusselt numbers computed both at top and bottom walls give the upward time-averaged heat flux without depending on the temperature oscillation either at the upper or lower walls. This is because the time-dependent convection plumes occur at the almost largest temperature of the bottom wall in comparison to the top wall. The time-averaged heat flux is always positive, i.e., upward, even if the time-averaged temperature difference is zero between the top and bottom walls. |
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