Analysis of heat and mass transfer on the peristaltic flow in a duct with sinusoidal walls: Exact solutions of coupled PDEs


Nadeem S. Akhtar S. Alharbi F.M. Saleem S. Issakhov A.
May 2022Elsevier B.V.

Alexandria Engineering Journal
2022#61Issue 54107 - 4117 pp.

This research article uncovers a novel mathematical model that interprets the peristaltic flow in elliptic duct with heat and mass transfer for the first time. A unique mathematical technique is introduced in this study that provides exact analytical solutions for partial differential equations. The Cartesian coordinate system is used in the present analysis and the non-circular form of duct is attained by considering equation of ellipse in the boundary conditions. The temperature, concentration and velocity profile are exactly computed and analyzed through graphical results. The axially symmetric flow behaviour is revealed by the graphical outcomes. Concentration, velocity and temperature profiles have parabolic shapes and axially symmetric behaviour.

Elliptic duct , Heat and mass transfer , Peristaltic flow

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Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, 44000, Pakistan
Department of Mathematics, University of Tabuk is Located in Tabuk, Saudi Arabia
Faculty of Science, King Khalid University, Abha, Saudi Arabia
Department of Mechanics, Al Farabi Kazakh National University, Kazakhstan

Department of Mathematics
Department of Mathematics
Faculty of Science
Department of Mechanics

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