Electroosmosis Augmented MHD Third-Grade Fluid with Slip and Variable Properties: An Application for Blood Flow in Arteries

The electroosmotic force effect on the peristaltic motion of the third-grade fluid is considered in a uniform channel. The governing equations that supplement the flow are designed for long wavelengths and low Reynolds numbers. Solutions are obtained for velocity, temperature, concentration, and trapping by considering the variable liquid properties for analyzing the various parameter effects. These effects are depicted through graphs and the relevance is discussed. The variable fluid properties have a declining impact on the velocity and temperature fields. Increasing the Helmholtz-Smoluchowski velocity values decreases the velocity field. Temperature decreases as the Deborah number increases. The velocity slip characteristics rise, and the trapping bolus's size shrinks. The results of this paper may be beneficial in understanding the control of microvascular transport in the time of fractionation of blood into plasma and erythrocytes.

Automated summary

This study investigates the electroosmotic force effect on the peristaltic motion of the third-grade fluid in a uniform channel. The governing equations for long wavelengths and low Reynolds numbers are derived, and solutions for various parameters are obtained by considering the variable liquid properties. The results show that the velocity and temperature fields are affected by the variable fluid properties, with increasing Helmholtz-Smoluchowski velocity values resulting in a decrease in the velocity field and temperature decreasing as the Deborah number increases. The study also finds that the velocity slip characteristics increase and the size of the trapping bolus shrinks.