Investigation of a conducting Casson fluid flow through a porous flexible microfluidic channel with catalytic effects: application in pharmaceutical fluid processing

The study of magnetohydrodynamic (MHD) peristaltic flow of a chemically reactive biofluid in an inclined conduit has been progressing due to its widespread utilization in medication transfer, surgical haemorrhage management, and the treatment of cancer/tumour cells. As a result of this development, the present investigation is devoted to the study of the MHD peristaltic transport of a radiative Casson fluid through a porous medium in an inclined flexible channel with homogeneous and heterogeneous chemical reactions. In addition, the effects of heat generation and the Hall currents are considered. A long wavelength and low Reynolds number approximation is adopted to reduce the complexity of the system. The exact solution is obtained for the velocity field. In addition, MATLAB's bvp5c solver is employed to solve the temperature and concentration equations. Further, several parametric values are considered to illustrate the ensuing variations in the axial velocity, the skin friction coefficient, the temperature, the Nusselt number, the fluid concentration, and the trapping phenomenon. Through the results, it is found that the concentration of the chemical species is enhanced with an increase in both the heterogeneous and homogeneous chemical reaction parameters. The fluid velocity rises with elevated values of the Darcy and channel inclination parameters. The temperature and the Nusselt number profiles are elevated by the Brinkman number. Furthermore, streamlines are presented to investigate the combined influence of the chemical reactions and the peristalsis on the trapped bolus size of fluid within a conduit. It is observed that the magnetic parameter and the Darcy number have an enormous impact on the trapping phenomenon.