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Heat Transfer Research
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ISSN Imprimir: 1064-2285
ISSN En Línea: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2016007591
pages 139-159

OSCILLATORY FREE CONVECTION OF A MICROPOLAR ROTATING FLUID ON A VERTICAL PLATE WITH VARIABLE HEAT FLUX AND THERMAL RADIATION

Ahmed A. Bakr
Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt
Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates, 10021

SINOPSIS

This work is concerned with the analysis of the effects of thermal radiation on oscillatory free convection flow of a micropolar fluid in a rotating frame of reference in the presence of a variable wall heat flux, taking an oscillatory plate velocity and a constant suction velocity at the plate into account. The plate velocity is assumed to oscillate in time with a constant frequency, it is thus assumed that the solutions of the boundary layer are the same oscillatory type. The dimensionless governing equations for this investigation are solved analytically using small perturbation approximation. The effect of the various dimensionless parameters entering into the problem on the velocity, temperature, and concentration profiles across the boundary layer is investigated graphically. The results show that there exists completely oscillating behavior in the velocity distribution. It should be mentioned that various aspects of the considered problem have different applications. Unsteady oscillatory free convective flows play an important role in chemical engineering, turbomachinery, and in the aerospace technology either due to the unsteady motion of boundary or boundary temperature. Besides, unsteadiness may also be due to the oscillatory free stream velocity or temperature. In natural processes and industrial applications, many transport processes exist where transfer of heat and mass takes place simultaneously as a result of combined buoyancy effects of thermal diffusion and diffusion of chemical species. The phenomenon of heat and mass transfer is also very common in chemical process industries such as food processing and polymer production.