Porosity and dissipative effects in Peristalsis of hydro-magneto nanomaterial: Application of biomedical treatment

Shakeel Ahmad,Samreen Sheriff,Nazir Ahmad Mir,Naila Rafiq

doi:10.1177/16878140211011890

Abstract

The non-uniformity value which currently many applications of magneto-hydrodynamics are found in medicine where drug deliverance happens through peristaltic pumping phenomena, various magnetic drugs are released to target tumor diseases and to control the drug flow movement to the desired area. Owing to these facts, the aims of this article is to examine the simultaneous influence of magneto-hydrodynamics (MHD) and slip effect on unsteady peristaltic nanofluid flow in a non-uniform porous channel of finite length. The constituent governing equations for the model have been examined under the approximation of long wave length and small Reynolds value. Keeping kerosene oil and ethylene glycol as base fluids with polystyrene chosen as nanoparticle. The current analysis is carried out for the peristaltic flow transferal which carries innumerable industrialized employments. The incompressible, viscous, electrically conducting flow is studied in wave form. Here, exact method is employed to obtained closed form solutions. We have implemented computational software packages “Mathematica” as a main tool in order to obtain explicit expressions for axial velocity, temperature, stream function, pumping phenomenon and bolus formation. Obtained solutions are used for graphical analysis against different physical parameters. It is concluded that axial velocity increments for higher Hartmann number and slip parameter near the walls. The porosity effects increases the temperature whereas the temperature field shows increasing behavior for larger Brinkman number.

Highlights

The peristalsis analysis has gained attention of engineers and investigators in many industrial and engineering processes
The mechanism of transporting dietary contents through tightening and expanding consequence of propagating wave alongside of the channel/ tube is termed as the phenomenon of peristaltic impulsion. The presence of such progression is encountered in vast range of industrialized employments and physiological processes which can be seen in the bile duct, 1Department of Mathematics & Statistics, Riphah International University, Islamabad, Pakistan 2DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan 3Department of Mathematics, National University of Modern Languages, Islamabad, Pakistan
Since the ground-breaking research of Latham[1] along Shapiro et al.[2] on peristalsis momentum emerged, extensive hypothetical and investigational methodologies were attempted for the understanding of peristaltic progression of hydrodynamic fluids in wideranging assumptions of extensive wavelength, small Reynolds number, trivial wave amplitude etc

Summary

Introduction

The peristalsis analysis has gained attention of engineers and investigators in many industrial and engineering processes. The mechanism of transporting dietary contents through tightening and expanding consequence of propagating wave alongside of the channel/ tube is termed as the phenomenon of peristaltic impulsion. Urge for exploration in this direction stemmed in extensive literature study but only a few recent soundings are listed here.[3,4,5,6,7,8,9,10,11,12]

Objectives

Conclusion