Affiliations: [a] Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
Correspondence:
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Corresponding author: M.Y. Abou-zeid, epartment of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt. E-mail: [email protected]
Abstract: This article discusses the effects of entropy generation as well as slip velocity condition on MHD Jeffery nanofluid flow through a porous medium in a channel with peristalsis. We take the effects of mixed convection, heat source, double diffusion and chemical reaction into consideration. Using the assumption of low-Reynolds number and long-wavelength, series solutions of the governing equations are obtained via homotopy perturbation method. Results will be discussed at various parameters of the problem and drawn graphically. Physically, our model is consistent with the motion of digestive juice in the bowel whenever we are going to insert an endoscopy through it. It is noticed that the axial velocity magnifies with an increase in the values of both first and second slip parameters. Meanwhile, the value of the axial velocity reduces with the elevation in the values of both Grashoff and Darcy numbers. On the other hand, the elevation in the value of thermal radiation leads to a reduction in the value of fluid temperature. Furthermore, increasing in the value of order of chemical reaction parameter makes an enhancement in the value of the solutal concentration. It is noticed also that the entropy generation enhances with the increment in the value of Eckert number. The current study has many accomplishments in several scientific areas like engineering industry, medicine, and others. Therefore, it represents the gastric juice motion depiction in the human body when an endoscope is inserted through it.
Keywords: Entropy generation, nanofluid, peristaltic flow, double diffusive, porous medium
