Steady non-isothermal parallel-plate flow of a Newtonian fluid with a temperature dependent viscosity is considered. The viscosity is modelled by a Nahme type law. We apply axisymmetric Q finite elements to the coupled nonlinear system to obtain numerical solutions for a wide range of parameters.

The distribution of the temperature and heat flux fields around a couple unequal nonconductive tangent spherical inhomogeneities (or pores) embedded in an infinite medium under steady-state remotely applied is addressed present work. Owing to 3D geometrical layout inhomogeneity, use made sphere coordinate system. A corrective field expressed terms convergent integrals superposed fundamental one...

In this paper, an axisymmetric model of the human skin is developed to simulate the steady-state temperature distribution during contact with a hot solid. Simulations are carried out using the boundary element method. This study seeks to investigate the feasibility of using the boundary element method in the studies of burn. A sensitivity analysis is carried out to examine the effects of variou...

In this paper heat transfer of non-Newtonian fluid flow in an axisymmetric channel with porous wall is analyzed. Variational Iteration Method is used to get complete analytic solution for velocity and temperature profiles. Results show an acceptable agreement between this method results and numerical solution.Also the effects of different parameters are discussed through graphs. It can be found...

In this paper, an analytical solution for computing the linear plastic stresses and critical pressure in a FGM hollow cylinder under the internal pressure due to non-Axisymmetric Loads is developed. It has been assumed that the modulus of elasticity was varying through thickness of the FGM material according to a power law relationship. The Poisson's ratio was considered constant throughout the...

in this study, the analysis of transient thermoelastic response of a functionally graded (fg) non-axisymmetric viscoelastic cylinder is presented. the material properties are assumed to be time- dependent and radially and circumferentially non-homogeneous. the finite element (fe) formulations of the thermoelastic problem are obtained using the virtual work method and all the coupling terms are ...

Hypersonic flows around spatial vehicles during their reentry phase in planetary atmospheres are characterized by intense aerothermal phenomena. The aim of this work is to analyze high temperature flows around an axisymmetric blunt body taking into account chemical and vibrational non-equilibrium for air mixture species. For this purpose, a finite volume methodology is employed to determine the...

We develop variational principles to study the structure and the stability of equilibrium states of axisymmetric flows. We show that the axisymmetric Euler equations for inviscid flows admit an infinite number of steady state solutions. We find their general form and provide analytical solutions in some special cases. The system can be trapped in one of these steady states as a result of an inv...

We present cuspy, non–axisymmetric, scale–free mass models of discs, whose gravitational potentials are of Stäckel form in parabolic coordinates. A black hole may be added at the centre, without in any way affecting the Stäckel form; the dynamics in these potentials is, of course, fully integrable. The surface density, Σdisc ∝ 1/r γ , where 0 < γ < 1 corresponds to steep cusps for which the cen...

In present study is concerned with the propagation of axisymmetric vibrations in a homogenous isotropic micropolar thermoelastic cubic crystal plate bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions in context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. The secular equations for symmetric and skew-symmetri...