Magnetohydrodynamic (MHD) boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with melting

The paper examines the melting heat transfer in magnetohydrodynamic (MHD) stagnation point flow of a nanofluid past a stretching sheet. Boundary layer theory is employed to simplify the system of partial differential equations of motion, energy and concentration to three coupled non-linear ordinary...

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Main Author: Wubshet Ibrahim
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2017-09-01
Series:Propulsion and Power Research
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2212540X17300391
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author Wubshet Ibrahim
author_facet Wubshet Ibrahim
author_sort Wubshet Ibrahim
collection DOAJ
description The paper examines the melting heat transfer in magnetohydrodynamic (MHD) stagnation point flow of a nanofluid past a stretching sheet. Boundary layer theory is employed to simplify the system of partial differential equations of motion, energy and concentration to three coupled non-linear ordinary differential equations. The non-linear ordinary differential equations and their boundary conditions are changed into dimensionless form by using suitable similarity variables before numerically solved using fourth order Runge-Kutta-Fehlberg method along with shooting technique. The effect of pertinent parameters on different flow fields are determined and discussed in detail through several plots and tables. The numerical results are obtained for velocity, temperature and concentration profiles. It is found that the skin friction coefficient and Sherwood number decrease with an increase in B and M parameters. However, the local Nusselt number -θ′(0) increases with an increase in B and Nt. Then, the results are compared and found to be in good agreement with the previously published results in limiting cases of the problem.
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spelling doaj.art-e8d6c36183ae4faab265325e52ae331d2023-09-02T12:09:11ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2017-09-016321422210.1016/j.jppr.2017.07.002Magnetohydrodynamic (MHD) boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with meltingWubshet IbrahimThe paper examines the melting heat transfer in magnetohydrodynamic (MHD) stagnation point flow of a nanofluid past a stretching sheet. Boundary layer theory is employed to simplify the system of partial differential equations of motion, energy and concentration to three coupled non-linear ordinary differential equations. The non-linear ordinary differential equations and their boundary conditions are changed into dimensionless form by using suitable similarity variables before numerically solved using fourth order Runge-Kutta-Fehlberg method along with shooting technique. The effect of pertinent parameters on different flow fields are determined and discussed in detail through several plots and tables. The numerical results are obtained for velocity, temperature and concentration profiles. It is found that the skin friction coefficient and Sherwood number decrease with an increase in B and M parameters. However, the local Nusselt number -θ′(0) increases with an increase in B and Nt. Then, the results are compared and found to be in good agreement with the previously published results in limiting cases of the problem.http://www.sciencedirect.com/science/article/pii/S2212540X17300391NanofluidMagnetohydrodynamic (MHD)Stagnation point flowMelting heat transfer
spellingShingle Wubshet Ibrahim
Magnetohydrodynamic (MHD) boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with melting
Propulsion and Power Research
Nanofluid
Magnetohydrodynamic (MHD)
Stagnation point flow
Melting heat transfer
title Magnetohydrodynamic (MHD) boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with melting
title_full Magnetohydrodynamic (MHD) boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with melting
title_fullStr Magnetohydrodynamic (MHD) boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with melting
title_full_unstemmed Magnetohydrodynamic (MHD) boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with melting
title_short Magnetohydrodynamic (MHD) boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with melting
title_sort magnetohydrodynamic mhd boundary layer stagnation point flow and heat transfer of a nanofluid past a stretching sheet with melting
topic Nanofluid
Magnetohydrodynamic (MHD)
Stagnation point flow
Melting heat transfer
url http://www.sciencedirect.com/science/article/pii/S2212540X17300391
work_keys_str_mv AT wubshetibrahim magnetohydrodynamicmhdboundarylayerstagnationpointflowandheattransferofananofluidpastastretchingsheetwithmelting