Analysis of Boundary Layer Flow and Heat Transfer for two Classes of Viscoelastic Fluid Over a Stretching Sheet with Heat Generation or Absorption

Authors

  • K Bhattacharyya Department of Mathematics, The University of Burdwan, Burdwan, West Bengal
  • MS Uddin Mathematics Discipline, Khulna University, Khulna
  • GC Layek Department of Mathematics, The University of Burdwan, Burdwan, West Bengal
  • W Ali Pk Department of Mathematics, University of Rajshahi, Rajshahi

DOI:

https://doi.org/10.3329/bjsir.v46i4.9590

Keywords:

Boundary layer flow, Heat transfer, Viscoelastic fluid, Stretching sheet, Heat generation or absorption

Abstract

In this paper, we obtained solutions of boundary layer flow and heat transfer for two classes of viscoelastic fluid over a stretching sheet with internal heat generation or absorption. In the analysis, we consider second-grade fluid and Walter's liquid B. The governing equations are transformed into self-similar ordinary differential equations by similarity transformations. The flow equation relating to momentum is solved analytically and then the heat equation using the Kummer's function. The analysis reveals that for the increase in magnitude of viscoelastic parameter both the velocity and temperature for a fixed point increase for second-grade fluid and both decrease for Walter's liquid B. Due to increase in Prandtl number and heat sink parameter, the thermal boundary layer thickness reduces, whereas increasing heat source parameter increases that thickness.

Key words: Boundary layer flow; Heat transfer; Viscoelastic fluid; Stretching sheet; Heat generation or absorption

DOI: http://dx.doi.org/10.3329/bjsir.v46i4.9590

BJSIR 2011; 46(4): 451-456

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How to Cite

Bhattacharyya, K., Uddin, M., Layek, G., & Pk, W. A. (2012). Analysis of Boundary Layer Flow and Heat Transfer for two Classes of Viscoelastic Fluid Over a Stretching Sheet with Heat Generation or Absorption. Bangladesh Journal of Scientific and Industrial Research, 46(4), 451–456. https://doi.org/10.3329/bjsir.v46i4.9590

Issue

Vol. 46 No. 4 (2011)

Section

Articles

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