Download PDF by A. Roy : A First Course on Aerodynamics

By A. Roy

ISBN-10: 8776819264

ISBN-13: 9788776819262

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By applying the above conservation equations to a one dimensional control volume containing a sound wave, an expression for speed of sound, ‘a’, could be derived as where the subscript ‘s’ stands for isentropic condition. Note that sound wave is an infinitesimally weak pressure wave. Therefore flow properties across such a wave would be perturbed infinitesimally. Flow would thus behave isentropically. 4) the expression becomes Speed of sound at standard sea level conditions is around 340 m/s. The Mach number of a flow is defined using ‘a’ as follows where ‘V’ is the velocity of the gas.

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. 31) to the flow we get For flow with zero body force and heat addition the energy equation is expressed as follows: or In the above equations ‘ q ’ stands for heat per unit mass, ‘v’ stands for specific volume, ‘h’ for enthalpy respectively.

8c) is basically a statement of conservation of stagnation enthalpy. By applying the above conservation equations to a one dimensional control volume containing a sound wave, an expression for speed of sound, ‘a’, could be derived as where the subscript ‘s’ stands for isentropic condition. Note that sound wave is an infinitesimally weak pressure wave. Therefore flow properties across such a wave would be perturbed infinitesimally. Flow would thus behave isentropically. 4) the expression becomes Speed of sound at standard sea level conditions is around 340 m/s.

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A First Course on Aerodynamics by A. Roy


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