In this article, we describe some approaches to the eecient numerical computation of viscous incompressible ows governed by the Navier-Stokes equations. We concentrate on laminar ows, stationary as well as nonstationary, for Reynolds numbers of moderate size, and in general domains. The emphasis is on spatial discretization by the nite element method. We discuss the treatment of the incompressi...

tion with laboratory experiment, can provide valuable insight into complex biological systems that involve the interaction of an elastic structure with a viscous, incompressible fluid. This biological fluid-dynamics setting presents several more challenges than those traditionally faced in computational fluid dynamics—specifically, dynamic flow situations dominate, and capturing time-dependent ...

An analysis of entropy generation in an MHD boundary layer flow of a viscous incompressible electrically conducting fluid past an inclined flat plate embedded in a porous media in a rotating system with Hall currents has been presented. The governing equations describing the flow have been solved analytically. The velocity field, induced magnetic field, shear stress and bulk temperature in the ...

The present analysis deals with the steady, incompressible flow of a viscous fluid over a stretching sheet having a layer of porous medium of uniform thickness. The two-dimensional flow equations are derived in a Cartesian coordinate system. The semi-infinite region filled with a viscous fluid is divided into two regions namely, a clear fluid region and a region having a uniform pores. Darcy's ...

Potential flows of incompressible fluids admit a pressure (Bernoulli) equation when the divergence of the stress is a gradient as in inviscid fluids, viscous fluids, linear viscoelastic fluids and second-order fluids. We show that the equation balancing drag and acceleration is the same for all these fluids independent of the viscosity or any viscoelastic parameter and that the drag is zero in ...

5 Simple example problems 20 5.1 Cantilever beam . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 5.2 Frequency calculation of a beam loaded by compressive forces . . 27 5.3 Frequency calculation of a rotating disk on a slender shaft . . . . 29 5.4 Thermal calculation of a furnace . . . . . . . . . . . . . . . . . . 35 5.5 Seepage under a dam . . . . . . . . . . . . . . . . . . . . . . ...

In the paper, an analysis is performed to study the effect of temperature dependent viscosity and thermal conductivity of unsteady viscous incompressible boundary layer micropolar fluid flow under mixed convection. The flow past is to be studied over a stretching sheet in presence of viscous dissipation. In the process of study, partial differential equations governing the flow have been transf...

Abstract— The flow past an infinite vertical isothermal plate started impulsively in its own plane in a viscous incompressible two-phase nanofluid has been considered by taking into account the viscous dissipative heat. Two nano particles Copper (Cu) and Alumina (Al2O3) are submerged in a base fluid, Water (H20). The coupled non-linear partial differential equations which govern the flow are so...

A study of magnetohydrodynamics (MHD) axisymmetric stagnation point flow with viscous dissipation and heat transfer in an electrically conducting laminar steady viscous incompressible fluid over a heated axisymmetric shrinking surface is presented. The governing partial differential equations (PDEs) are reduced to non linear ordinary differential equations (ODEs) in dimensionless form using sui...