Stability analysis of MHD viscous flow and heat transfer over a permeable shrinking surface

Mohd Ezad Hafidz Hafidzuddin, Roslinda Mohd. Nazar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this study, a problem of steady laminar magnetohydrodynamic (MHD) viscous boundary layer flow and heat transfer over a permeable shrinking surface is considered. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation. The transformed ordinary differential equations are then solved numerically using the bvp4c function in MATLAB software. Dual solutions are found for a certain range of the suction parameter. A stability analysis has been performed to determine which solution is stable and physically realizable. The effects of the suction parameter, the Hartmann number and the Prandtl number on the skin friction and heat transfer coefficients as well as the velocity and temperature profiles are presented and discussed in detail.

Original languageEnglish
Title of host publication22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia
PublisherAmerican Institute of Physics Inc.
Volume1682
ISBN (Electronic)9780735413290
DOIs
Publication statusPublished - 22 Oct 2015
Event22nd National Symposium on Mathematical Sciences: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia, SKSM 2014 - Selangor, Malaysia
Duration: 24 Nov 201426 Nov 2014

Other

Other22nd National Symposium on Mathematical Sciences: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia, SKSM 2014
CountryMalaysia
CitySelangor
Period24/11/1426/11/14

Fingerprint

suction
viscous flow
magnetohydrodynamics
differential equations
heat transfer
Hartmann number
skin friction
boundary layer flow
Prandtl number
heat transfer coefficients
partial differential equations
temperature profiles
velocity distribution
computer programs

Keywords

  • Heat transfer
  • Magnetohydrodynamic
  • oundary layer flow
  • Permeable shrinking sheet
  • Stability analysis

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Hafidzuddin, M. E. H., & Mohd. Nazar, R. (2015). Stability analysis of MHD viscous flow and heat transfer over a permeable shrinking surface. In 22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia (Vol. 1682). [020041] American Institute of Physics Inc.. https://doi.org/10.1063/1.4932450

Stability analysis of MHD viscous flow and heat transfer over a permeable shrinking surface. / Hafidzuddin, Mohd Ezad Hafidz; Mohd. Nazar, Roslinda.

22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. Vol. 1682 American Institute of Physics Inc., 2015. 020041.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hafidzuddin, MEH & Mohd. Nazar, R 2015, Stability analysis of MHD viscous flow and heat transfer over a permeable shrinking surface. in 22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. vol. 1682, 020041, American Institute of Physics Inc., 22nd National Symposium on Mathematical Sciences: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia, SKSM 2014, Selangor, Malaysia, 24/11/14. https://doi.org/10.1063/1.4932450
Hafidzuddin MEH, Mohd. Nazar R. Stability analysis of MHD viscous flow and heat transfer over a permeable shrinking surface. In 22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. Vol. 1682. American Institute of Physics Inc. 2015. 020041 https://doi.org/10.1063/1.4932450
Hafidzuddin, Mohd Ezad Hafidz ; Mohd. Nazar, Roslinda. / Stability analysis of MHD viscous flow and heat transfer over a permeable shrinking surface. 22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. Vol. 1682 American Institute of Physics Inc., 2015.
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