7.7 FINITE ELEMENT SOLUTION OF STOKES FLOW EQUATIONS

In the preceding sections, the FEM formulations of various types of partial differential equations such as Laplace equation, Poisson equation and Helmholtz equations were considered. In this section, the simplest form of two-dimensional steady-state flow called Stokes flow or creeping flow, which has a large number of applications in civil, mechanical, metallurgy and chemical engineering is considered. In many engineering fluid flow problems, the Reynolds number, which represents the ratio of inertia force to viscous force in a fluid motion, can be very small (less than one) and, hence, the inertia forces are insignificant compared to viscous force and can be omitted from the concerned momentum ...

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