Exact Solutions for Fractionalized Second Grade Fluid Flows with Boundary Slip Effects

Unified slip boundary condition for fluid flows.

Determining the correct matching boundary condition is fundamental to our understanding of several everyday problems. Despite over a century of scientific work, existing velocity boundary conditions are unable to consistently explain and capture the complete physics associated with certain common but complex problems, such as moving contact lines and corner flows. The widely used Maxwell and Na...

Exact Solutions of Flows of an Oldroyd 8-Constant Fluid with Nonlinear Slip Conditions

This communication is concerned with the nonlinear flows of an Oldroyd 8-constant fluid when the no-slip condition is not valid. Due to slip effects in terms of shear stress, the arising slip conditions are nonlinear. The resulting mathematical problems involves nonlinear differential equations and nonlinear boundary conditions. To the best of my knowledge, no such analysis for the flows of an ...

EXACT SOLUTIONS FOR FLOW OF A SISKO FLUID IN PIPE

By means of He's homotopy perturbation method (HPM) an approximate solution of velocity eld is derived for the ow in straight pipes of non-Newtonian uid obeying the Sisko model. The nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to He. Furthermore, the obtained solutions for velocity eld is graphically sketched...

On the Exact Analytical and Numerical Solutions of Nano Boundary-Layer Fluid Flows

and Applied Analysis 3 should be considered to avoid divergence or inappropriate results; the numerical method should be therefore chosen carefully. Chebyshev pseudospectral differentiation matrix ChPDM approach has been introduced successfully and applied by Aly et al. 26 to analyze the two-dimensional MHD boundary-layer flow over a permeable surface, with a power law stretching velocity, in t...

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress