Shear stress analysis in axially symmetric flow using the Padé approximation technique

Abstract

This paper evaluates the shear stress on the surface of a circular cylinder in axially symmetric flow within the boundary layer. An extended solution is obtained by established techniques, e.g. asymptotic series or Pohlhausen method. A Padé approximation technique is applied to the extended solution obtained. The region of validity of the solution is extended and the results are then compared and examined against known approximate Pohlhausen and series solutions.Nomenclature u x , axial velocity; a, cylinder radius; u r , radial velocity; U f , velocity of moving cylinder; η dimensionless radial coordinate; ξ, dimensionless axial coordinate; τ , shear stress; Bingham number (dimensionless shear stress) Bi = aτ µU