Steady 2-D flow of a second grade fluid in a symmetrical diverging channel of varying width

A. M. Siddiqui, T. Haroon, Z. Bano, J. H. Smeltzer

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Abstract

A two dimensional steady flow of an incompressible second grade fluid is investigated in a symmetrically divergent channel of varying width. The non-linear differential equations obtained are solved using ADM. The effect of the dimensionless non-Newtonian elastic and crossviscosity parameters is shown graphically on axial and normal velocities, shear stress at the curved walls and pressure gradient. It is observed that the magnitude of the axial velocity and the pressure gradient decreases with an increase in the value of each of these parameters. However, shear stress at the curved wall increases as the value of the elastic parameter increases. Previously published results are presented as a special case of the present study.

Original languageEnglish (US)
Pages (from-to)4675-4691
Number of pages17
JournalApplied Mathematical Sciences
Volume8
Issue number93-96
DOIs
StatePublished - Jan 1 2014

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All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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