Abstract

The current work emphasizes the modelling of the electroosmosis-modulated peristaltic flow of Jeffery liquid. Such flows emerge in understanding the movement of biological fluids in a microchannel, such as in targeted drug delivery and blood flow through micro arteries. The non-Newtonian fluid flows inside a non-uniform cross-section and an inclined microchannel. The effects of wall properties and variable fluid properties are considered. The long wavelength and small Re number approximations are assumed to simplify the governing equations. Debye-Hückel linearization is also utilized. The nonlinear governing equations are solved by utilizing the perturbation technique. MATLAB is used for the solution, velocity, temperature, skin friction, coefficient heat transport, concentration, shear wood number, and streamlines expressions. The obtained result in optimal electroosmotic velocity (or Helmholtz-Smoluchowski velocity) increases from −1 to 6; the axial circulation has substantial momentum. For larger optimal electroosmotic velocity, a subsequent boost in an axial electric field causes a significant deceleration. Further, the study helps biomedical engineers to create biomicrofluidics devices that may aid in carrying biological fluids.

Highlights

  • In the human body, peristalsis is the reflex response initiated when lumen contents stretch the gut wall

  • The present investigations emphasize the impact of electroosmotic velocity (Uhs), the electroosmotic parameter, the Jeffrey parameter (λ1), variable viscosity (α1), variable thermal conductivity (α2), angle of inclination (α), the non-uniform parameter (m1), the wall tension parameter (E1), the mass characterization parameter (E2), the wall damping term (E3), the wall rigidity term (E4), the elastic term of the wall (E5), the Brinkmann number (Br), the Schmidt number (Sc), and the Soret number (Sr) on velocity (u), temperature (θ), concentration (φ), and streamlines (ψ)

  • Temperature Profiles we examine the impact of various specifications on temperature profiles

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Summary

Introduction

Peristalsis is the reflex response initiated when lumen contents stretch the gut wall. The movement of food through the throat, chyme transport, urine conveyed through the ureter, ova transportation from the ovary to the uterus, liquid stream in ductus efferent, blood development from tiny blood conduits, and lymph transportation through the lymphatic vessels are some examples of peristalsis It is utilized for planning different contemporary clinical supplies, such as roller-finger siphons and siphoning of blood in the heart-lung machine. In continuation of [4], Manjunatha et al [5] studied the effects of wall properties on the peristaltic transport of Rabinowitsch fluid through an inclined non-uniform slippery tube. Their results show that an increase in the value of velocity and thermal slip parameters enhances the velocity and temperature profiles for viscous and shear-thinning fluids. The statistical approach has been conducted on dual stratification on stagnation point Walter’s B nanofluid via radiative Riga plate by Shafiq et al [7]

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