Accurate solutions for viscoelastic boundary layer flow and heat transfer over stretching sheet

Antonio Mastroberardino

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Abstract

In this article, we present accurate analytical solutions for boundary layer flow and heat transfer of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface subject to a transverse uniform magnetic field using the homotopy analysis method (HAM) for two general types of non-isothermal boundary conditions. In addition, we demonstrate that the previously reported analytical solutions for the temperature field given in terms of Kummer's function do not converge at the boundary. We provide a graphical and numerical demonstration of the convergence of the HAM solutions and tabulate the effects of various parameters on the skin friction coefficient and wall heat transfer.

Original languageEnglish (US)
Pages (from-to)133-142
Number of pages10
JournalApplied Mathematics and Mechanics (English Edition)
Volume35
Issue number2
DOIs
Publication statusPublished - Feb 1 2014

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All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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