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2 International Journal of Applied Mechanics and Engineering

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Blasius flow of viscoelastic fluids: a numerical approach

100%

Sadeghy K. , Sharifi M.

tom Vol. 9, no 2

399-411

The effects of a fluid elasticity on the characteristics of a boundary layer in a Blasius flow are investigated for a second-grade fluid, and also for a Maxwell fluid. Boundary layer approximations are used to simplify the equations of motion which are finally reduced to a single ODE using the concept of similarity solution. For the second-grade fluid, it is found that the number of boundary conditions should be augmented to match the order of the governing equation. A combination of finite difference and shooting methods are used to solve the governing equations. Results are presented for velocity profiles, boundary layer thickness, and skin friction coefficient in terms of the local Deborah number. An overshoot in velocity profiles is predicted for a second-grade fluid but not for a Maxwell fluid. The boundary layer is predicted to become thinner for the second-grade fluid but thicker for the Maxwell fluid, the higher the Deborah number. By an increase in the level of fluid elasticity, a drop in wall skin friction is predicted for the second-order fluid but not for the Maxwell fluid.

Exact solutions to an incompressible second-grade fluid flow equations

100%

Naeem R. K. , Zia S. S.

2003

tom Vol. 8, no 1

71-85

Employing complex variables and complex functions the exact solutions to equations governing the motion of an incompressible second-grade fluid are determined.