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Get A First Course on Aerodynamics PDF

By A. Roy

ISBN-10: 8776819264

ISBN-13: 9788776819262

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Sample text

The first term on the right hand side stands for time rate of change of energy inside the control volume due to possible variation of flowfield variables within the control volume and second terms stands for net rate of flow of energy across the control surface. 5)) are sufficient tools to analyze inviscid compressible flows of an equilibrium gas. The gas is assumed to be a perfect gas here. A perfect gas is one in which intermolecular forces are neglected. If the property of the gas varies grossly from that of a perfect gas then a suitable equation of state would need to be used.

In all the above cases, the flow properties change as a function of location as the gas flows through the region. Let us assume that to the left of this region, the flowfield velocity, pressure, temperature, density, and internal u1 , p1 , T1 , ρ1 , e1 respectively. Similarly, u 2 , p 2 , T2 , ρ2 , e 2 are the properties on the right hand side of the control volume. In general, we have a flow property φ1 at the inlet and φ 2 at the outlet of this control volume. energy are given by If the cross sectional area of the control volume is A, it is the same on the left and right faces of the control volume.

In the above equation ‘e’ stands for internal energy. The first term on the left hand side of the above equation stands for the amount of heat added to control volume, the second term stands for work done by pressure and third term stands for work done by body forces on the control volume. Therefore the summation of second and third terms stands for rate of work done on the fluid inside the control volume. The first term on the right hand side stands for time rate of change of energy inside the control volume due to possible variation of flowfield variables within the control volume and second terms stands for net rate of flow of energy across the control surface.

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A First Course on Aerodynamics by A. Roy


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