Analysis of Peristaltic Flow of a Jeffrey Fluid in a Doubly Connected Region
S. Suresh, Veena Bennehalli Hanumathappa, Indira Ramarao, Jagadeesha Seethappa, J. Santhosh Kumar, Hanumagowda Bannihalli Naganagowda, Mohammed Fareeduddin · Journal of Advanced Research in Fluid Mechanics and Thermal Sciences · 2025
A Jeffrey fluid is considered to be flowing in a doubly connected region formed by eccentric cylinders. The outer wall of the annular region is subjected to wave motion by an applied sinusoidal wave. The fluid's motion is due to peristalsis. A long-wave approximation is assumed and the fluid is subjected to low Reynolds flow. Hence, non-linearity can be overcome. The governing Navier-Stokes and energy equations are coupled. The inner tube is subjected to rotation with a velocity . The equations are subjected to regular perturbation with small eccentricity as a parameter. The resulting equations are analytically solved to obtain pressure gradient and velocity. Temperature is also evaluated and its effect on velocity is studied. The solutions thus obtained are numerically evaluated and depicted graphically. As the ratio , which represents the ratio of relaxation to retardation, tends to zero, the fluid becomes Newtonian.