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High Weissenberg Number Stress Boundary Layer for the Upper Convected Maxwell Fluid

[+] Author Affiliations
N. Ashrafi, M. Mohamadali, M. Najafi

Islamic Azad University, Tehran, Iran

Paper No. IMECE2014-36544, pp. V08BT10A010; 6 pages
doi:10.1115/IMECE2014-36544
From:
  • ASME 2014 International Mechanical Engineering Congress and Exposition
  • Volume 8B: Heat Transfer and Thermal Engineering
  • Montreal, Quebec, Canada, November 14–20, 2014
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4956-9
  • Copyright © 2014 by ASME

abstract

The classic Blassius problem of steady boundary-layer flow of the upper convected Maxwell over a flat plate in a moving fluid is studied. According to scaling parameters the equations represent the viscoelastic stress boundary layer. By means of an exact similarity transformation, the non-linear viscoelastic momentum and constitutive equations transform into a system of highly nonlinear coupled ordinary differential equations. Numerical solution may be achieved by a variable stepping method for the initial-value problem. The stepping numerical method chosen fifth order Runge-Kutta for solving the resulting nonlinear algebraic equations at each step. It is seen that there is a stress boundary layer and there is no velocity boundary layer.

Copyright © 2014 by ASME

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