MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis

An analysis has been performed using the Buongiorno model on the nanofluid steady 2D stagnation point flow magnetohydrodynamic (MHD) over the shrinking surface to test its stability. Transforming the governing partial equations into a set of ordinary differential equation (ODE) and solved the equati...

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Main Authors: Aladdin, Nur Adilah Liyana, Bachok, Norfifah, Anuar, Nur Syazana
Format: Article
Language:English
Published: Penerbit Akademia Baru 2020
Online Access:http://psasir.upm.edu.my/id/eprint/86743/1/MHD%20stagnation%20point%20flow%20.pdf
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author Aladdin, Nur Adilah Liyana
Bachok, Norfifah
Anuar, Nur Syazana
author_facet Aladdin, Nur Adilah Liyana
Bachok, Norfifah
Anuar, Nur Syazana
author_sort Aladdin, Nur Adilah Liyana
collection UPM
description An analysis has been performed using the Buongiorno model on the nanofluid steady 2D stagnation point flow magnetohydrodynamic (MHD) over the shrinking surface to test its stability. Transforming the governing partial equations into a set of ordinary differential equation (ODE) and solved the equations numerically. In this paper, the impact of Brownian motion and thermophoresis has been considered and can be seen in ODE. The physical quantities of interest such as skin friction, local Nusselt number, local Sherwood number as well as the velocity and temperature profiles are acquired by numerical findings for some values of governing parameters such as ?, M, Pr, Le, Nb and Nt. Results show that duality of solutions exist for certain values e <-1 while unique solution exist when e >-1. On the other hand, as the parameter of M increased, the gradient of velocity increased, the rate of transmission heat and mass improved. Throughout the analysis, it demonstrates a linearly stable first solution in comparison to linearly unstable second solution.
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spelling upm.eprints-867432021-10-08T07:52:20Z http://psasir.upm.edu.my/id/eprint/86743/ MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis Aladdin, Nur Adilah Liyana Bachok, Norfifah Anuar, Nur Syazana An analysis has been performed using the Buongiorno model on the nanofluid steady 2D stagnation point flow magnetohydrodynamic (MHD) over the shrinking surface to test its stability. Transforming the governing partial equations into a set of ordinary differential equation (ODE) and solved the equations numerically. In this paper, the impact of Brownian motion and thermophoresis has been considered and can be seen in ODE. The physical quantities of interest such as skin friction, local Nusselt number, local Sherwood number as well as the velocity and temperature profiles are acquired by numerical findings for some values of governing parameters such as ?, M, Pr, Le, Nb and Nt. Results show that duality of solutions exist for certain values e <-1 while unique solution exist when e >-1. On the other hand, as the parameter of M increased, the gradient of velocity increased, the rate of transmission heat and mass improved. Throughout the analysis, it demonstrates a linearly stable first solution in comparison to linearly unstable second solution. Penerbit Akademia Baru 2020-10 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86743/1/MHD%20stagnation%20point%20flow%20.pdf Aladdin, Nur Adilah Liyana and Bachok, Norfifah and Anuar, Nur Syazana (2020) MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 76 (3). pp. 12-24. ISSN 2289-7879 https://www.akademiabaru.com/submit/index.php/arfmts/article/view/1506 10.37934/arfmts.76.3.1224OpenAccess
spellingShingle Aladdin, Nur Adilah Liyana
Bachok, Norfifah
Anuar, Nur Syazana
MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis
title MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis
title_full MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis
title_fullStr MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis
title_full_unstemmed MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis
title_short MHD stagnation point flow in nanofluid over shrinking surface using Buongiorno's model: a stability analysis
title_sort mhd stagnation point flow in nanofluid over shrinking surface using buongiorno s model a stability analysis
url http://psasir.upm.edu.my/id/eprint/86743/1/MHD%20stagnation%20point%20flow%20.pdf
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AT anuarnursyazana mhdstagnationpointflowinnanofluidovershrinkingsurfaceusingbuongiornosmodelastabilityanalysis