Analysis of entropy optimization for sinusoidal wall motion of fourth-grade fluid with temperature-dependent viscosity
Muhammad Yousaf Rafiq, Zaheer Abbas
Abstract
Entropy generation is an imperative feature of every thermal transportation processes. It helps to decrease irreversibility factor in a system. Therefore, present study investigates entropy generation analysis for a peristaltic motion of fourth-grade fluid in a symmetric channel in the presence of an induced magnetic field. Effects of thermal radiation, viscous dissipation, and thermal absorption/generation are considered. Slip condition is also imposed at the upper wall of the channel. Furthermore, the liquid is pondered to possess variable viscosity which displays exponential alteration over the width of the channel. Lubrication approximation theory is used to simplify partial differential equations that are strongly nonlinear. The perturbation technique has been used to yield the solution for momentum and stream function. However, the energy equation is solved numerically. The impacts of numerous embedded dimensionless substantial parameters on liquid flow are exhibited through graphs. Outcomes divulge that entropy generation enhances with an escalation of thermal conductivity parameter, however it diminutions with an enhancement of magnetic parameter. Such outcomes benefits in biomedical sciences.