The Influences of Slippage and Hall Currents on Peristaltic Transport of a Maxwell Fluid with Heat and Mass Transfer Through a Porous Medium
Nabil T. M. Eldabe1, Amira S. A. Asar2, Shaimaa F. Ramadan3
1Nabil T. M. Eldabe, Faculty Department of Mathematics Education, Ain-Shams University, Cairo, Egypt.
2Amira S. A. Asar*, Faculty Department of Mathematics Arts & Science, Prince Sattam Bin Abdulaziz University, Wadi Adwassir, Saudi Arabia.
3Shaimaa F. Ramadan, Faculty Department of Mathematics Science (Girls), Al-Azhar University, Cairo, Egypt.
Manuscript received on 01 March 2022. | Revised Manuscript received on 25 April 2022. | Manuscript published on 30 May 2022. | PP: 7-15 | Volume-11 Issue-6, May 2022. | Retrieval Number: 100.1/ijitee.C98080311422 | DOI: 10.35940/ijitee.C9808.0511622
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Abstract: In this paper, the effects of slip velocity and Hall currents on peristaltic motion of a non-Newtonian fluid with heat and mass transfer through a porous medium inside a symmetric horizontal channel with flexible walls are studied. The fluid obeys Maxwell model, the ohmic and viscous dissipations are taken into account. Some of partial differential equations describe the fluid motion with the appropriate boundary conditions are written in dimensionless form and simplified by using the approximations of long wavelength and low Reynolds number. These equations are solved analytically, and the stream function, pressure rise, temperature, and concentration distributions are obtained as functions of physical parameters of the problem. The effects of the parameters of the problem on these solutions are discussed numerically and illustrated graphically through a set of figures. It is found that the physical parameters played important roles in controling the obtained solutions.
Keywords: Slip boundary condition; Hall currents; Peristaltic transport; a Maxwell fluid; Viscous dissipation; Joule Heating; Heat and mass transfer.
Scope of the Article: Heat transfer