Mathematical modeling and simulation of peristaltic activity in Ree-Eyring fluid flow through non-uniform complaint channel: Different varying conditions

The current study incorporates variable viscosity and thermal conductivity on modeling Ree-Eyring fluid flow inside a peristaltic non-uniform complaint channel. The small Reynolds number and long-wavelength approximations are employed for resolve the governing nonlinear differential equations. Temperature expression is obtained with the help of series solution method. The graphs are drawn on relevant parameters to investigate its effect on velocity, temperature, concentration, and streamlines through MATLAB 2020b. The results confer more velocity in the Newtonian fluid in comparison with non-Newtonian fluid. Also, the model discloses that the size of the bolus can be varied by varying the viscosity parameter. This result helps in understanding the thrombus formation in blood vessels.

Automated summary

This study investigates the modeling of Ree-Eyring fluid flow with variable viscosity and thermal conductivity inside a peristaltic non-uniform complaint channel. The governing nonlinear differential equations are solved using the small Reynolds number and long-wavelength approximations. The temperature expression is obtained using the series solution method and graphs are drawn to analyze the effects of relevant parameters on velocity, temperature, concentration, and streamlines through MATLAB 2020b. The results show higher velocity in the Newtonian fluid compared to the non-Newtonian fluid, and it is found that the size of the bolus can be varied by changing the viscosity parameter, providing insights into thrombus formation in blood vessels.