Dual solutions and stability analysis of unsteady stagnation-point flow and heat transfer over a shrinking surface with radiation effect

Ezad Hafidz Hafidzuddin, Roslinda Mohd. Nazar, Norihan Md Arifin

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper deals with the study of unsteady stagnation-point boundary layer flow and heat transfer on a shrinking surface induced by a shrinking sheet in the presence of radiation effect. The governing nonlinear partial differential equations are reduced to a system of nonlinear ordinary differential equations using a similarity transformation. The transformed equations are solved numerically. using a “bvp4c” function in MATLAB. Dual solutions are found for a certain range of the unsteadiness parameters. A stability analysis has been performed to determine which solution is stable and physically realizable. The effects of the Prandtl number, unsteadiness, radiation and shrinking parameters on the skin friction coefficient and the local Nusselt number, as well as the velocity and temperature profiles are presented and discussed.

Original languageEnglish
Pages (from-to)29-45
Number of pages17
JournalJP Journal of Heat and Mass Transfer
Volume14
Issue number1
DOIs
Publication statusPublished - 1 Feb 2017

Fingerprint

stagnation point
radiation effects
heat transfer
skin friction
boundary layer flow
Prandtl number
Nusselt number
partial differential equations
temperature profiles
coefficient of friction
differential equations
velocity distribution
radiation

Keywords

  • Dual solutions
  • Heat transfer
  • Radiation effect
  • Shrinking surface
  • Stability analysis
  • Unsteady flow

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Dual solutions and stability analysis of unsteady stagnation-point flow and heat transfer over a shrinking surface with radiation effect. / Hafidzuddin, Ezad Hafidz; Mohd. Nazar, Roslinda; Arifin, Norihan Md.

In: JP Journal of Heat and Mass Transfer, Vol. 14, No. 1, 01.02.2017, p. 29-45.

Research output: Contribution to journalArticle

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