On non-linear flows with slip boundary condition

Abstract

The assumption that a fluid adheres to a solid boundary ('no-slip' boundary condition) is one of the central tenets of the Navier-Stokes theory. However, there are situations wherein this assumption does not hold. In this communication we examine the effects of slip at the wall when an Oldroyd 6-constant fluid is considered in a channel. The slip assumed depends on the shear stress at the wall. The three non-linear problems are solved using homotopy analysis method (HAM). The results for the velocity profiles are presented and discussed.

On comparison of exact and series solutions for thin film flow of a third‐grade fluid

“…Finally, the numerical values are tabulated in order to show the comparison between the exact and homotopy solutions. Like several previous attempts [24][25][26][27][28][29][30][31][32][33][34], the constructed homotopy solution here yields reliable results.…”

Unsteady MHD flow due to noncoaxial rotations of micropolar fluid and an accelerated disk with partial slip condition

“…Navier [13] proposed a slip boundary condition wherein the slip depends linearly on the shear stress. Some of the recent advancements which involve partial slip are given in references [14][15][16][17].…”

Application of Fourier transform to MHD flow over an accelerated plate with partial-slippage

“…[18][19][20][21][22][23][24][25][26][27][28][29] Slippage not only occurs at the interface with the surfaces that are partially or totally wetted but roughness also plays an important role in slippage. 21,28,30 Thus we can say that slippage is a function of wetted surface and roughness, where shear dependence has also a major impact on slippage.…”