Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigation
This article presents the two-dimensional flow of MHD hyperbolic tangent fluid with nanoparticles towards a stretching surface. The mathematical modelling of current flow analysis yields the nonlinear set of partial differential equations which then are reduce to ordinary differential equations by u...
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doaj-b30f6ce5dc044458b759ddc7561862452020-11-25T02:35:50ZengElsevierResults in Physics2211-37972017-01-01728372844Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigationMair Khan0Arif Hussain1M.Y. Malik2T. Salahuddin3Farzana Khan4Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan; Corresponding author.Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanDepartment of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur 10250, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanThis article presents the two-dimensional flow of MHD hyperbolic tangent fluid with nanoparticles towards a stretching surface. The mathematical modelling of current flow analysis yields the nonlinear set of partial differential equations which then are reduce to ordinary differential equations by using suitable scaling transforms. Then resulting equations are solved by using shooting technique. The behaviour of the involved physical parameters (Weissenberg number We, Hartmann number M, Prandtl number Pr, Brownian motion parameter Nb, Lewis number Leand thermophoresis number Nt) on velocity, temperature and concentration are interpreted in detail. Additionally, local skin friction, local Nusselt number and local Sherwood number are computed and analyzed. It has been explored that Weissenberg number and Hartmann number are decelerate fluid motion. Brownian motion and thermophoresis both enhance the fluid temperature. Local Sherwood number is increasing function whereas Nusselt number is reducing function for increasing values of Brownian motion parameter Nb, Prandtl number Pr, thermophoresis parameter Nt and Lewis number Le. Additionally, computed results are compared with existing literature to validate the accuracy of solution, one can see that present results have quite resemblance with reported data. Keywords: Tangent hyperbolic fluid, MHD, Nanofluid, Stretching sheet, Shooting method (Cash and Crap)http://www.sciencedirect.com/science/article/pii/S2211379717311907 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mair Khan Arif Hussain M.Y. Malik T. Salahuddin Farzana Khan |
spellingShingle |
Mair Khan Arif Hussain M.Y. Malik T. Salahuddin Farzana Khan Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigation Results in Physics |
author_facet |
Mair Khan Arif Hussain M.Y. Malik T. Salahuddin Farzana Khan |
author_sort |
Mair Khan |
title |
Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigation |
title_short |
Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigation |
title_full |
Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigation |
title_fullStr |
Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigation |
title_full_unstemmed |
Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigation |
title_sort |
boundary layer flow of mhd tangent hyperbolic nanofluid over a stretching sheet: a numerical investigation |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2017-01-01 |
description |
This article presents the two-dimensional flow of MHD hyperbolic tangent fluid with nanoparticles towards a stretching surface. The mathematical modelling of current flow analysis yields the nonlinear set of partial differential equations which then are reduce to ordinary differential equations by using suitable scaling transforms. Then resulting equations are solved by using shooting technique. The behaviour of the involved physical parameters (Weissenberg number We, Hartmann number M, Prandtl number Pr, Brownian motion parameter Nb, Lewis number Leand thermophoresis number Nt) on velocity, temperature and concentration are interpreted in detail. Additionally, local skin friction, local Nusselt number and local Sherwood number are computed and analyzed. It has been explored that Weissenberg number and Hartmann number are decelerate fluid motion. Brownian motion and thermophoresis both enhance the fluid temperature. Local Sherwood number is increasing function whereas Nusselt number is reducing function for increasing values of Brownian motion parameter Nb, Prandtl number Pr, thermophoresis parameter Nt and Lewis number Le. Additionally, computed results are compared with existing literature to validate the accuracy of solution, one can see that present results have quite resemblance with reported data. Keywords: Tangent hyperbolic fluid, MHD, Nanofluid, Stretching sheet, Shooting method (Cash and Crap) |
url |
http://www.sciencedirect.com/science/article/pii/S2211379717311907 |
work_keys_str_mv |
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