Dual solutions of MHD three-dimensional flow over a permeable stretching/shrinking surface with velocity slip and thermal radiation in a nanofluid

Rahimah Jusoh, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The magnetohydrodynamic (MHD) three-dimensional flow of alumina (Al2O3)-water nanofluid over a permeable stretching/shrinking surface is numerically studied. The present model is devoted to the effects of velocity slip condition and thermal radiation parameter on the fluid flow and heat transfer. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation, which are then solved numerically using the Matlab routine boundary value problem solver bvp4c. Dual solutions exist for a certain range of the suction parameter. A stability analysis is performed to determine which solution is stable and physically realizable. The numerical results for the skin friction coefficient and local Nusselt number are obtained and discussed. It is found that heat transfer rate increases as the velocity slip increases but the local Nusselt number decreases when the thermal radiation increases.

Original languageEnglish
Pages (from-to)1644-1652
Number of pages9
JournalJournal of Computational and Theoretical Nanoscience
Volume14
Issue number3
DOIs
Publication statusPublished - 1 Mar 2017

Fingerprint

Dual Solutions
Nanofluid
Magnetohydrodynamic Flow
Thermal Radiation
three dimensional flow
Three-dimensional Flow
Nusselt number
Heat radiation
thermal radiation
Shrinking
Magnetohydrodynamics
Slip
magnetohydrodynamics
Stretching
Heat Transfer
slip
heat transfer
Heat transfer
Slip Condition
skin friction

Keywords

  • Magnetohydrodynamic
  • Nanofluid
  • Stretching/Shrinking Surface
  • Thermal Radiation
  • Three-Dimensional Flow
  • Velocity Slip

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

Cite this

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abstract = "The magnetohydrodynamic (MHD) three-dimensional flow of alumina (Al2O3)-water nanofluid over a permeable stretching/shrinking surface is numerically studied. The present model is devoted to the effects of velocity slip condition and thermal radiation parameter on the fluid flow and heat transfer. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation, which are then solved numerically using the Matlab routine boundary value problem solver bvp4c. Dual solutions exist for a certain range of the suction parameter. A stability analysis is performed to determine which solution is stable and physically realizable. The numerical results for the skin friction coefficient and local Nusselt number are obtained and discussed. It is found that heat transfer rate increases as the velocity slip increases but the local Nusselt number decreases when the thermal radiation increases.",
keywords = "Magnetohydrodynamic, Nanofluid, Stretching/Shrinking Surface, Thermal Radiation, Three-Dimensional Flow, Velocity Slip",
author = "Rahimah Jusoh and {Mohd. Nazar}, Roslinda and Ioan Pop",
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T1 - Dual solutions of MHD three-dimensional flow over a permeable stretching/shrinking surface with velocity slip and thermal radiation in a nanofluid

AU - Jusoh, Rahimah

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2017/3/1

Y1 - 2017/3/1

N2 - The magnetohydrodynamic (MHD) three-dimensional flow of alumina (Al2O3)-water nanofluid over a permeable stretching/shrinking surface is numerically studied. The present model is devoted to the effects of velocity slip condition and thermal radiation parameter on the fluid flow and heat transfer. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation, which are then solved numerically using the Matlab routine boundary value problem solver bvp4c. Dual solutions exist for a certain range of the suction parameter. A stability analysis is performed to determine which solution is stable and physically realizable. The numerical results for the skin friction coefficient and local Nusselt number are obtained and discussed. It is found that heat transfer rate increases as the velocity slip increases but the local Nusselt number decreases when the thermal radiation increases.

AB - The magnetohydrodynamic (MHD) three-dimensional flow of alumina (Al2O3)-water nanofluid over a permeable stretching/shrinking surface is numerically studied. The present model is devoted to the effects of velocity slip condition and thermal radiation parameter on the fluid flow and heat transfer. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation, which are then solved numerically using the Matlab routine boundary value problem solver bvp4c. Dual solutions exist for a certain range of the suction parameter. A stability analysis is performed to determine which solution is stable and physically realizable. The numerical results for the skin friction coefficient and local Nusselt number are obtained and discussed. It is found that heat transfer rate increases as the velocity slip increases but the local Nusselt number decreases when the thermal radiation increases.

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KW - Thermal Radiation

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KW - Velocity Slip

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