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1 International Journal of Applied Mechanics and Engineering

1 2009

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Oblique stagnation flow of a thermodynamically-valid Walters' B liquid: a series solution

Mortazavi N., Sadeghy K., Alikbar V., Alizadeh-Pahlavan A.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 3

829-852

A thermodynamically-valid exact solution was found for laminar, two-dimensional, oblique stagnation point flow of a Walters' B fluid above a stretching sheet. To circumvent the problem with the extra boundary condition, and also to be able to obtain results at large elasticity numbers, use will be made of the homotopy analysis method in order to find an analytical solution. The analytical solution so obtained shows that the behavior of fluids with a negative elasticity number is completely different from those with a positive elasticity number. For example, while for the wall shear stress is increased by an increase in the elasticity number, for it is predicted to decrease when the elasticity number is increased. A comparison of the results obtained using the homotopy analysis method with those obtained using the perturbation method (Mahapatra et al., 2007) suggests that the perturbation method may not be so reliable when addressing viscoelastic fluids.