Thermally oscillatory flow inside an irregular channel through a porous medium with velocity and temperature slips

Abstract

The purpose of this exploration is to scrutinize the heat transfer characteristics of oscillatory flow on the magnetized second-grade fluid within an asymmetric porous wavy channel with velocity slip and temperature jump conditions. Flow in porous space is characterized by modified Darcy's law. The use of a magnetized second-grade fluid in an asymmetric porous wavy channel could potentially enhance heat transfer within the fluid, leading to better control over drug release rates and spatial distribution. The fundamental flow equations are converted into ordinary differential equations (ODEs) utilizing suitable non-dimensional variables and then resolved analytically. The outcomes are graphically represented to illustrate the physical impacts of governing parameters on the temperature, and velocity profiles. Streamlines are also constructed for specific physical parameters to investigate trapping phenomena. In addition, variations on the coefficient of skin friction, mass flux, and heat transfer coefficients are illustrated with different values of pertinent parameters. The outcomes indicate that fluid velocity is enhanced by increasing the values of Darcy's number and Grashof's number. The fluid temperature decreases by increasing the values of the temperature jump parameter.

Keywords

• Oscillatory flow
• Second-grade fluid
• Modified Darcy law
• Velocity slip and temperature jump conditions
• Thermal radiation
• Irregular channel