Effect of Thermal Radiation and Double-Diffusion Convective Peristaltic Flow of a Magneto-Jeffrey Nanofluid through a Flexible Channel

Asha S. Kotnurkar, Joonabi Beleri, Irfan Anjum Badruddin, Khaleed H.M.T., Sarfaraz Kamangar and Nandalur Ameer Ahammad
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Asha S. Kotnurkar: Department of Studies and Research in Mathematics, Karnatak University, Dharwad 580003, India
Joonabi Beleri: Department of Studies and Research in Mathematics, Karnatak University, Dharwad 580003, India
Irfan Anjum Badruddin: Mechanical Engineering Department, College of Engineering, King Khalid University, Abha 61411, Saudi Arabia
Khaleed H.M.T.: Department of Mechanical Engineering, Faculty of Engineering, Islamic University of Madinah, Madinah Munawara 42351, Saudi Arabia
Sarfaraz Kamangar: Mechanical Engineering Department, College of Engineering, King Khalid University, Abha 61411, Saudi Arabia
Nandalur Ameer Ahammad: Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia

Mathematics, 2022, vol. 10, issue 10, 1-17

Abstract: The noteworthiness of double-diffusive convection with magneto-Jeffrey nanofluid on a peristaltic motion under the effect of MHD and porous medium through a flexible channel with the permeable wall has been theoretically examined. A non-linearized Rosseland approximation is utilized to show the thermal radiation effect. The governing equations are converted to standard non-linear partial differential equations by using suitable non-dimensional parameters. Solutions of emerging equations are obtained by using the multi-step differential transformation method (Ms-DTM). The differential transformation method (DTM) can be applied directly to nonlinear differential equations without requiring linearization and discretization; therefore, it is not affected by errors associated with discretization. The role of influential factors on concentration, temperature, volume fraction, and velocity are determined using graphs. A significant outcome of the present article is that the presence of double-diffusive convection can change the nature of convection in the system. The present results have a wide biological applicability, including for biomicrofluidic devices that regulate the fluid flow through a flexible endoscope and other medical pumping systems.

Keywords: peristaltic flow; double diffusion; Jeffrey nanofluid; magnetic field; thermal radiation; porous media; flexible channel; permeable walls; MS-DTM (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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