Mathematical modeling and analysis for radiative MHD peristaltic flow of Bingham nanofluid

Abstract The current study elaborates the mathematical modeling for peristaltic transport of Bingham nanoliquid in symmetric channel with thermal radiation. Here we used non‐Newtonian fluid model (Bingham model) define as Channel boundaries are complaint nature. The equations for the flow and heat/mass transport, incorporating the aspects of thermophoresis and Brownian motion, were derived using Buongiorno's nanofluids framework. Thermal transport involves the existence of Ohmic heating and viscous dissipation consequences. The model's governing equations are derived, made simpler by using long wavelengths and small Reynolds number assumptions. Numerical techniques are utilized for finding the solution of nonlinear systems of equations. Velocity, concentration, temperature, and rate of heat transfer are analyzed graphically. The findings of these investigations could improve fluid dynamics and gastrointestinal movements in a variety of engineering systems. This examination also sheds light on the physiological fluids’ easy movement through the capillaries and arteries, which supports the movement of nutrients, blood circulation, oxygen delivery, waste elimination, temperature regulation, and other essential components within the human organism.