Numerical Simulation of Viscous Dissipation in a Micropolar Fluid Flow through a Porous Medium

• Published in: Journal of applied mechanics and technical physics Vol. 60; no. 6; pp. 996 - 1004
• Main Authors: Ahmad, S., Ashraf, M., Ali, K.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.11.2019; Springer Nature B.V
• Subjects: Applications of Mathematics; Classical and Continuum Physics; Classical Mechanics; Computational fluid dynamics; Computer simulation; Energy dissipation; Fluid flow; Fluid- and Aerodynamics; Heat transfer; Incompressible flow; Mass transfer; Mathematical Modeling and Industrial Mathematics; Mechanical Engineering; Micropolar fluids; Nonlinear equations; Ordinary differential equations; Partial differential equations; Physics; Physics and Astronomy; Porous media; Porous media flow; viscous dissipation; micropolar fluid; quasi-linearization; porous medium
• ISSN: 0021-8944; 1573-8620
• DOI: 10.1134/S0021894419060038

Taking into account the effect of viscous dissipation in the energy equation, we numerically explore the flow of an incompressible micropolar fluid with heat and mass transfer through a resistive porous medium between plane channel walls. By exploiting a similarity transformation, the governing partial differential equations are transformed into a system of nonlinear coupled ordinary differential equations, which are solved numerically for various problem parameters by means of quasi-linearization. It is found that the effect of viscous dissipation is to increase the heat and mass transfer rate at both the lower and upper walls of the channel.