A study on bioconvective peristaltic flow of a Casson nanofluid in a porous uniform/ non‐uniform flexible conduit

Abstract This investigation presents a unique mathematical model that integrates a comparative study on the Magnetohydrodynamics (MHD) bioconvective peristaltic transport of Casson nanofluid in a porous uniform/non‐uniform elastic channel with wall properties. The effects of thermal radiation, heat source, chemical reaction, partial slip conditions, Soret, and Dufour are analyzed in the flow scenario. The present model inspired numerous implementations in biological engineering, bio‐fertilizers, biofuels, enzymes, solar transceiver systems, heat transfer engineering, power storage units, and so forth. The homotopy perturbation technique (HPM) is employed to provide an analytical solution to the system of simplified non‐dimensional governing equations with the help of a lubrication approach. The influence of different parameters on the axial velocity, temperature, concentration, density of the motile microorganism, heat transfer coefficient, and streamlines are examined through various graphs and tables. According to the observations, an increase in the chemical reaction parameter decreases the density of motile microorganisms. In addition, a comparison is made between a uniform and non‐uniform channel through tabular data and graphical representations. It is detected that the fluid velocity and temperature are increased in the non‐uniform channel when compared to the uniform channel.