Ab&&-An exact solution is given for the tlow of a second grade fluid between two infinite parallel plates rotating about noncoincident axes normal to the plates. A comparison of the torque and force exerted by the fluid on the plates with the corresponding experimental vaiues would enable one to determine the normal stress moduli. Using energy method, the stability of the above flow is investig...

We present a very simple proof of the global existence of a C∞ Lagrangian flow map for the 2D Euler and second-grade fluid equations (on a compact Riemannian manifold with boundary) which has C∞ dependence on initial data u0 in the class of Hs divergence-free vector fields for s > 2. 1. Incompressible Euler equations Let (M, g) be a C compact oriented Riemannian 2-manifold with smooth boundary ...

In this article, the flow problem in a thin liquid film of second grade fluid over an unsteady stretching surface is investigated. By means of suitable transformations, the governing nonlinear partial differential equation has been reduced to the nonlinear ordinary differential equation. The developed nonlinear equation is solved analytically by using the homotopy analysis method (HAM). An expr...

This article describe the unsteady boundary layer flow over a stretching sheet. The governing boundary layer equations are transformed to a non-linear partial differential equation by applying similarity transformations. Analytic solution valid for all times is obtained using homotopy analysis method (HAM). The influence of dimensionless time and second grade material parameter is discussed on ...

The paper is the study of the incompressible, two directional, steady elastico-viscous nonNewtonian fluid with porous walls. An analytic solution to the problem is obtained, using the homotopy perturbation method.

objective: the purpose of this study is to examine the factor structure, internal consistency, and construct validity of preschool, first and second grade versions of berkeley parenting self-efficacy scale. method: the subjects were 317 mothers: (102 mothers of preschool children, 111 mothers of first grade children and 104 mothers of second grade children) who were randomly selected from schoo...