Numerical study of radiative non-Darcy nanofluid flow over a stretching sheet with a convective Nield conditions and energy activation

Ghuram Dharmaiah,N. Vedavathi,Kothuru Venkatadri,Shaik Abdul Gaffar

doi:10.1515/nleng-2021-0012

Ghuram Dharmaiah, N. Vedavathi

Open Access

https://doi.org/10.1515/nleng-2021-0012

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Journal: Nonlinear Engineering	Publication Date: Jan 1, 2021
Citations: 26	License type: CC BY 4.0

Affiliation: Koneru Lakshmaiah Education Foundation

Abstract

Abstract Numerous industrial processes such as continuous metal casting and polymer extrusion in metal spinning, include flow and heat transfer over a stretching surface. The theoretical investigation of magnetohydro-dynamic thermally radiative non-Darcy Nanofluid flows through a stretching surface is presented considering also the influences of thermal conductivity and Arrhenius activation energy. Buongiorno’s two-phase Nanofluid model is deployed in order to generate Thermophoresis and Brownian motion effects [1]. By similarity transformation technique, the transport equations and the respective boundary conditions are normalized and the relevant variable and concerned similarity solutions are presented to summarize the transpiration parameter. An appropriate Matlab software (Bvp4c) is used to obtain the numerical solutions. The graphical influence of various thermo physical parameters are inspected for momentum, energy and nanoparticle volume fraction distributions. Tables containing the Nusselt number, skin friction and Sherwood number are also presented and well argued. The present results are compared with the previous studies and are found to be well correlated and are in good agreement. The existing modelling approach in the presence of nanoparticles enhances the performance of thermal energy thermo-plastic devices.

Highlights

Numerous industrial processes such as continuous metal casting and polymer extrusion in metal spinning, include ow and heat transfer over a stretching surface
By keeping the above studies in mind, the main objective of the current analysis is to study the e ects of Arrhenius activation energy of Darcy-Forchheimer Nano uid past a stretching surface in the presence of thermal radiation and magnetohydrodynamics
To study the in uence of the involved variables, other parameters are xed as Biot number (Bi) = 0.3, R = Nr = K = Forchheimer number (Fr) = S = λ = E = 0.1, Prandtl number (Pr) = 3, Schmidt number (Sc) = M = σ = 0.2, δ = n = Nb = Nt = 0.5

Summary

Introduction

Abstract: Numerous industrial processes such as continuous metal casting and polymer extrusion in metal spinning, include ow and heat transfer over a stretching surface. The theoretical investigation of magnetohydrodynamic thermally radiative non-Darcy Nano uid ows through a stretching surface is presented considering the in uences of thermal conductivity and Arrhenius activation energy. Buongiorno’s two-phase Nano uid model is deployed in order to generate Thermophoresis and Brownian motion e ects [1]. The transport equations and the respective boundary conditions are normalized and the relevant variable and concerned similarity solutions are presented to summarize the transpiration parameter. The graphical in uence of various thermo physical parameters are inspected for momentum, energy and nanoparticle volume fraction distributions. The existing modelling approach in the presence of nanoparticles enhances the performance of thermal energy thermoplastic devices

Methods

Results

Conclusion