The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum |
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| Affiliation: | 1. Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA;2. Department of Mathematics, Sri Venkateswara University, Tirupati 517 502, AP, India;1. Department of Mechanical Engineering, University of California Riverside, USA;2. Department of Mathematics & Statistics, FBAS, IIUI, Islamabad, Pakistan;3. Department of Mathematics, FABS, BUITEMS, Quetta, Pakistan;1. GITAM University, Department of Mathematics, Hyderabad, India;2. National Institute of Technology, Department of Mathematics, Warangal – 506 004, India;1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | The peristaltic flow of a Jeffrey fluid in a vertical porous stratum with heat transfer is studied under long wavelength and low Reynolds number assumptions. The nonlinear governing equations are solved using perturbation technique. The expressions for velocity, temperature and the pressure rise per one wave length are determined. The effects of different parameters on the velocity, the temperature and the pumping characteristics are discussed. It is observed that the effects of the Jeffrey number λ1, the Grashof number Gr, the perturbation parameter N = EcPr, and the peristaltic wall deformation parameter ϕ are the strongest on the trapping bolus phenomenon. The results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear-thinning reduces the wall shear stress. |
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