Technical computations for dependent shear rate effect on magnetized peristaltic transport of synovia with two fluid viscosity models: Arthritis treatments

Abstract

AbstractSynovitis studies are the key to the treatment of most arthritis diseases in a human physique. So this study visualizes the effects of two dependent fluid viscosity models on magnet nano peristaltic transport of synovial fluid in nonuniform channel walls. Two fluid models are constructed, the first model considered that the Shear rate is dependent on fluid concentration (model‐I), and the exponentially dependent viscosity on the fluid concentration is proposed as a second model (model‐II). The fluid models are represented by a highly nonlinear system of partial differential equations. Joule heat, thermal radiation, and Arrhenius energy are studied as external effects. Those models are offered in a gradient mechanism, then simplified using droppings bars and using the fact of long wavelength, and low Reynolds. Pressure gradient and trapped bolus profiles and shear stress distribution as well as fluid temperature, velocity, and concentration performance are scrutinized. Analytical results are obtained in appropriate/chosen boundary conditions depending on the walls of the channel. Attracted/signified results are compared with the nearest trusted results by Khan et al. Solution intervals are sub‐divided and analytically treated at each of them by multi‐stage differential transform algorithms. Outcomes gratify that, joints are provided by more cushion and lubrication at high fluid temperatures. Magnetic effects are advised in rheumatoid arthritis treatments, increasing the synovial fluid temperature and allowing fluid particles to move freely inside joints.