Helical flows of a heated generalized Oldroyd-B fluid subject to a time-dependent shear stress in porous medium |
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| Authors: | Chunrui Li Liancun Zheng Yue Zhang Lianxi Ma Xinxin Zhang |
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| Institution: | 1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;3. School of Mechanical Engineering, Northeastern University, Shenyang 110819, China;4. Department of Physics, Blinn College, Bryan, TX 77805, USA;1. North Carolina State University, Raleigh, NC 27695, USA;2. National Health Service (NHS), Edinburgh, Scotland, United Kingdom;3. The Saban Research Institute, 4650 Sunset Boulevard, MS# 35, Los Angeles, CA 90027, USA;1. Department of Mathematics, IBILCE-UNESP Univ. Estadual Paulista, Rua Cristovão Colombo 2265, Jardim Nazareth, 15054-000, São José de Rio Preto, SP, Brazil;2. Department of Physics, Chemistry and Mathematics, UFSCar, 18052-780, Sorocaba, SP, Brazil |
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| Abstract: | This paper presents an analysis for helical flows of a heated generalized Oldroyd-B fluid subject to a time-dependent shear stress in porous medium, where the motion is due to the longitudinal time-dependent shear stress and the oscillating velocity in boundary. The exact solutions are established by using the sequential fractional derivatives Laplace transform coupled with finite Hankel transforms in terms of generalized G function. Moreover, the effects of various parameters (relaxation time, fractional parameter, permeability and porosity) on the flow and heat transfer are analyzed in detail by graphical illustrations. |
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