# An Introduction to Computational Fluid Dynamics: The Finite by H. Versteeg, W. Malalasekra

By H. Versteeg, W. Malalasekra

This article goals to supply info for amateur CFD clients who, while constructing CFD abilities through the use of software program, want a reader that covers the basics of the fluid dynamics in the back of complicated engineering flows and of the numerical answer algorithms on which CFD codes are dependent.

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Extra resources for An Introduction to Computational Fluid Dynamics: The Finite Volume Method Approach

Example text

Determine the specific volume, in m3/kg, 30 Chapter 2. Getting Started in Thermodynamics: Introductory Concepts and Definitions of the methane in the cylinder initially. Repeat for the methane in the cylinder after the 5 kg has been added. 3 ϭ constant. 25 bar. Determine the final volume, in m3, and plot the process on a graph of pressure versus specific volume. 23 A closed system consisting of 1 lb of a gas undergoes a process during which the relation between the pressure and volume is pV n ϭ constant.

The quantity mgz is the gravitational potential energy, PE. 2) Potential energy is associated with the force of gravity (Sec. 3) and is therefore an attribute of a system consisting of the body and the earth together. However, evaluating the force of gravity as mg enables the gravitational potential energy to be determined for a specified value of g knowing only the mass of the body and its elevation. With this view, potential energy is regarded as an extensive property of the body. To assign a value to the kinetic energy or the potential energy of a system, it is necessary to assume a datum and specify a value for the quantity at the datum.

8) Since dV is positive when volume increases, the work at the moving boundary is positive when the gas expands. For a compression, dV is negative, and so is work found from Eq. 8. These signs are in agreement with the previously stated sign convention for work. For a change in volume from V1 to V2, the work is obtained by integrating Eq. 9) V1 Although Eq. 9 is derived for the case of a gas (or liquid) in a piston-cylinder assembly, it is applicable to systems of any shape provided the pressure is uniform with position over the moving boundary.