On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds

Sohaib Abdal,Imran Siddique,Sajjad Hussain,Ali Ahmadian,Massimiliano Ferrara

doi:10.1038/s41598-021-86953-1

Abstract

It is a theoretical exportation for mass transpiration and thermal transportation of Casson nanofluid over an extending cylindrical surface. The Stagnation point flow through porous matrix is influenced by magnetic field of uniform strength. Appropriate similarity functions are availed to yield the transmuted system of leading differential equations. Existence for the solution of momentum equation is proved for various values of Casson parameter beta , magnetic parameter M, porosity parameter K_p and Reynolds number Re in two situations of mass transpiration (suction/injuction). The core interest for this study aroused to address some analytical aspects. Therefore, existence of solution is proved and uniqueness of this results is discussed with evaluation of bounds for existence of solution. Results for skin friction factor are established to attain accuracy for large injection values. Thermal and concentration profiles are delineated numerically by applying Runge-Kutta method and shooting technique. The flow speed retards against M, beta and K_p for both situations of mass injection and suction. The thermal boundary layer improves with Brownian and thermopherotic diffusions.

Highlights

Nomenclature u Radial velocity component w Axial velocity component a Radius of cylinder c Strain rate of oncoming radial flow
Mastroberardino and S iddique[41] presented numerical solution for MHD flow of Newtonian fluid towards a stretching cylinder. They discussed the conditions for existence and uniqueness of the solution. Motivated from this rarely considered work we studied the fluid flow through porous medium in the existence of applied magnetic field
Further the growing thermopherotic and Brownian diffusion raise the fluid temperature and heat transfer rate at the surface is decreased and the Nusselt number decreases against these parameters

Summary

Introduction

Nomenclature u Radial velocity component w Axial velocity component a Radius of cylinder c Strain rate of oncoming radial flow. Mastroberardino and S iddique[41] presented numerical solution for MHD flow of Newtonian fluid towards a stretching cylinder. Motivated from this rarely considered work we studied the fluid flow through porous medium in the existence of applied magnetic field.

Results

Conclusion