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Old Nov 16th 2014, 10:52 AM   #1
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Thermodynamic

can anyone help me for this question?

A gas at specified stagnation temperature and pressure is accelerated to M=2 in a converging-diverging nozzle and to M=3 in another nozzle , what can you say about the pressures at the throats of these two nozzles?
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Old Nov 19th 2014, 09:57 AM   #2
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From wikipedia on the Venturi effect:
Relationship between pressure and flow speed
An equation for the drop in pressure due to the Venturi effect may be derived from a combination of Bernoulli's principle and the continuity equation.

Referring to the diagram to the right, using Bernoulli's equation in the special case of incompressible flows (such as the flow of water or other liquid, or low speed flow of gas), the theoretical pressure drop at the constriction is given by:

p_1 - p_2 = \frac{\rho}{2}\left(v_2^2 - v_1^2\right)
where \scriptstyle \rho\, is the density of the fluid, \scriptstyle v_1 is the (slower) fluid velocity where the pipe is wider, \scriptstyle v_2 is the (faster) fluid velocity where the pipe is narrower (as seen in the figure). This assumes the flowing fluid (or other substance) is not significantly compressible - even though pressure varies, the density is assumed to remain approximately constant.
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