Mathematical modelling on peristaltic motion and temperature distribution of dusty Jeffrey fluid under the influence of variable viscosity

ABSTRACT

This study describes the behavior of peristaltic motion and temperature distribution of dusty Jeffrey fluid with variable viscosity. The flow-anchored equations are computed by assuming a low Reynolds number and long wavelength deliberations. The solution of the mathematical framework is heeded analytically by using Bernoulli’s rule of integration technique for velocity and temperature distribution, volume flow rate, and pressure rise. Pumping characteristics are studied based on different pressure ranges. The dynamics of various coherent parameters are deliberated through graphical elucidation. In fluid transmission, an interesting phenomenon is trapping in which a bolus is transported with the speed of the wave and this trapped bolus is pushed forward along the peristaltic wave. This trapping mechanism is visualized with the aid of contour plots and reveals that the size of the trapped bolus shows opposite behavior in both cases by increasing the viscosity parameter. The current inquiry is also designated for Newtonian fluid as a special case. The novelty of this work is to explain the Jeffrey fluid model which is capable of describing stress relaxation properties that normally lag in viscous fluids, thus this article clearly demonstrated the importance of choosing variable viscosity according to the requirement of the concerned fields. The outcome of this investigation can as well aid in understanding the transport phenomena in the human physiological system.

KEYWORDS:

• Jeffrey fluid
• variable viscosity
• heat transfer
• particle fluid suspension
• peristaltic motion

Disclosure statement

No potential conflict of interest was reported by the author(s).