Effects of heat generation/absorption in the Jeffrey fluid past a permeable stretching/shrinking disc

Kohilavani Naganthran, Roslinda Nazar, Ioan Pop

Research output: Contribution to journalArticle

Abstract

This theoretical study expounds dual solutions of the Jeffrey model fluid flow and heat transfer around the stagnation-point regime along a radially stretching/shrinking disc. The present work also attempts to examine the effect of heat generation/absorption towards the rate of heat transfer in a Jeffrey fluid. The similarity transformation helps to reduce the complicated partial differential equations into a system of ordinary differential equations so that the system can be solved numerically via the bvp4c function in MATLAB. The dual solutions are observable within a certain range of the shrinking parameter. The heat generation or absorption in the fluid flow regime does not delay flow separations. Further, a stability analysis is performed to determine the stability of the dual solutions. The first solution is claimed to be a stable solution, and the second solution is confirmed as an unstable solution.

Original languageEnglish
Article number414
JournalJournal of the Brazilian Society of Mechanical Sciences and Engineering
Volume41
Issue number10
DOIs
Publication statusPublished - 1 Oct 2019

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Heat generation
Stretching
Fluids
Flow of fluids
Heat transfer
Flow separation
Ordinary differential equations
MATLAB
Partial differential equations

Keywords

  • Dual solutions
  • Jeffrey fluid
  • Stability analysis
  • Stretching/shrinking disc

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Effects of heat generation/absorption in the Jeffrey fluid past a permeable stretching/shrinking disc. / Naganthran, Kohilavani; Nazar, Roslinda; Pop, Ioan.

In: Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 41, No. 10, 414, 01.10.2019.

Research output: Contribution to journalArticle

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