In this paper, we use the optimal homotopy asymptotic method (OHAM) for the solution of Non-linear two dimensional incompressible laminar boundary layer flow of fluid in the presence of transverse magnetic field. The obtained results for the stream function and velocity profile were comparable in terms of accuracy with that obtained by A. Abdullah (2009) who studied the heat transfer problem us...

This paper studies the characteristics and applicability of the CutFEM approach [1] as the core of a robust topology optimization framework for 3D laminar incompressible flow and species transport problems at low Reynolds number (Re < 200). CutFEM is a methodology for discretizing partial differential equations on complex geometries by immersed boundary techniques. In this study, the geometry o...

The problems of incompressible flows dominate a large part of the fluid mechanics scene. For this reason, they are given special attention in this book and we devote two chapters to this subject. In the present chapter we deal with various steadystate and transient situations in which the flow is forced by appropriate pressure gradients and boundary forces. In the next chapter we shall consider...

This work aims to study the different characteristics of Newtonian fluid flow and heat transfer througha 1:3 sudden expansion channel with or without plane baffles using finite volume method. The flowis assumed viscous, incompressible, steady, laminar. hydro-thermalfluid phenomena have been studied for

The rate of viscous energy dissipation in a shear layer of incompressible Newtonian fluid with injection and suction is studied by means of exact solutions, nonlinear and linearized stability theory, and rigorous upper bounds. For large enough values of the injection angle a steady laminar flow is nonlinearly stable for all Reynolds numbers, while for small but nonzero angles the laminar flow i...

Steady state axisymmetric deformations of a homogeneous, isotropic, compressible and rigid perfectly plastic target being penetrated by a rigid cylindrical penetrator with a hemispherical nose are studied by the finite element method. The steady state is reached with respect to an observer situated on the penetrator nose and moving with it. Tillotson’s equation, restricted to mechanical deforma...

The Rayleigh-Taylor instability of a compressible plasma in the presence of a horizontal magnetic field is investigated, taking into account the effects of finite Larmor radius. Only transverse perturbations are considered. The problem is shown to be characterized by a variational principle. Using it, the dispersion relation is obtained for a plasma layer of finite thickness and having an expon...

Chaotic advection in three-dimensional unsteady incompressible laminar flow By J U L Y A N H. E. C A R T W R I G H T1;2y , M A R I O F E I N G O L D3z , AND O R E S T E P I R O1;4{ 1Departament de Fı́sica, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain. 2Centre de Càlcul i Informatització, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain. 3Department of Physics,...

The rate of viscous energy dissipation in a shear layer of incompressible Newtonian fluid with injection and suction is studied by means of exact solutions, nonlinear and linearized stability theory, and rigorous upper bounds. The injection and suction rates are maintained constant and equal and this leads to solutions with constant throughput. For strong enough suction, expressed in terms of t...