Influence of Rotation and an Inclined Magnetic Field for the Peristaltic Flow of Viscoplastic Fluid through a Porous Medium

This research deals with the influencing of rotation and an inclined magnetic field on the analysis of blended convection heat transfer within a viscoelastic fluid that flows peristaltically through an inclined tapered asymmetric channel, that traversing in a porous media. The foundational equations of continuity, momentum, and energy were established in Cartesian coordinates. Furthermore, a range of dimensionless numbers, including Reynolds number, Brandt number, and Froude number, were introduced to regulate the governing equations in their imensionless forms. The governing equations were further simplified under the presumption of long wave lengths and small Reynolds numbers. The perturbation method was utilized to derive a set of analytically solvable equations for the stream function, velocity, and temperature. However, the research explored several fascinating parameters, as: the inclination angle of the magnetic field, rotation, Brinkman number, Bingham number, Hartmann number, Grashof number. In addition, the influence of these parameters on the stream function, axial velocity, and temperature within the flow system was quantified and discussed, employing graphical representations facilitated by the Mathematical package. The study provides deeper insight into the physics of heat transfer and fluid motion under combined effects.