Two dimensional stagnation point flow of an elastico‐viscous fluid with partial slip

Abstract

The steady, laminar flow of an elastico-viscous fluid impinging normally upon a wall has been investigated when there is a partial slip of the fluid at the wall. The governing equations of motion admit a similarity solution in terms of η, the dimensionless distance normal to the wall. The boundary value problem characterizing the flow has been solved without making any assumption on the size of either the viscoelastic fluid parameter or the partial slip parameter. The solutions are shown to exist only up to a critical value of viscoelastic fluid parameter. The effect of the partial slip is to enhance this critical value.

Mixed convection boundary layer flow near stagnation-point on vertical surface with slip

“…The similarity solutions of the Navier-Stokes equations for the stagnation-point flow towards a flat plate with slip were found by Wang [9] , where the solutions are applicable to the slip regime of rarefied gases. Later, Wang [10] extended this problem to the one including the heat transfer aspect, while Ariel [11] studied the stagnation-point flow of a viscoelastic fluid. Labropulu and Li [12] studied the stagnation-point flow of a second-grade fluid with slip.…”

Effect of heat transfer on a third grade fluid in a flat channel

“…Bhatnagar [17] and Ariel [18][19][20]. In [21], Ariel discussed the steady flow of a third grade fluid in a porous flat channel and presented various types of solutions that include an exact numerical solution, perturbation solution, an iterative solution and the approximate solutions.…”

Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder

“…The non-adherence of a fluid to a solid boundary, known as velocity slip, is a phenomenon that has been observed under certain circumstances Yoshimura and Prudhomme [14]. Recently, many researchers Wang [15], including Andersson [16], Ariel et al [17,18] and Abbas et al [19] investigated flow problems by using slip flow conditions at the boundary. By considering the effect of partial slip at a stretching wall on the boundary layer flow with diffusion of a chemically reactive solute transfer with a first order reaction along a stretching cylinder, a new dimension can be added to the study by Ishak and Nazar [11].…”