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 ...

Large-amplitude oscillatory shear flow (LAOS) is a popular for studying the nonlinear physics of complex fluids. Specifically, the strain rate sweep (also called the strain sweep) is used routinely to identify the onset of nonlinearity. In this paper, we give exact expressions for the nonlinear complex viscosity and the corresponding nonlinear complex normal stress coefficients for the Oldroyd ...

Because of their various applications during the past several years, generalizations of the Navier-Stokes model to highly nonlinear constitutive laws have been proposed and studied (see [4, 5, 7]). Several different models have been introduced to explain such nonstandard features, as normal stress effect, rod climbing, shear thinning, and shear thickening. Among the differential-typemodels, Old...

The problem dealing with the steady flow of an Oldroyd 8-constant fluid over a suddenly moved plate is considered. The fluid is electrically conducting and a uniform magnetic field is applied in the transverse direction. An analytical solution of the nonlinear boundary value problem is obtained using homotopy analysis method (HAM). The behavior of the material constants and the magnetic field i...

Wire coating process is an industrial process to coat a wire for insulation, mechanical strength and environmental safety. The ever increasing applications in the industrial process are the cause of great interest in the study of viscoelastic flow in the wire coating process in a pressure type die. In the present study we provide a numerical solution of the Navier-Stokes equation for wire coati...

Thermodynamic analysis of a steady state flow and heat transfer of an Oldroyd 8-constant fluid with effect of heat source, velocity slip and buoyancy force under tranverse a magnetic field is is carried out in this paper. The model for momentum and energy balance is tackled numerically using Method of Weighted Residual (MWR). Partition method is used to minimize the associated residuals. The re...