An air stream enters a variable area channel at a velocity of 30" " m/s with a pressure of 120kPa and a temperature of 10^ C. At a certain point in the channel, the velocity is found to 250" " m/s. Using Bernoulli's equation (i.e. p+pV^2= constant), which assumes incompressible flow, find the pressure at this point in the channel. In this calculation use the density evaluated at the inlet conditions. If the temperature of the air is assumed to remain constant, evaluate the air density at the point in the flow where the velocity is 250" " m/s. Compare this density with the density at the inlet to the channel. On the basis of this comparison, do you think that the use of Bernoulli's equation is justified?

An air stream enters a variable area channel at a velocity of 30" " m/s with a pressure of 120kPa and a temperature of 10^ C. At a certain point in the channel, the velocity is found to 250" " m/s. Using Bernoulli's equation (i.e. p+pV^2= constant), which assumes incompressible flow, find the pressure at this point in the channel. In this calculation use the density evaluated at the inlet conditions. If the temperature of the air is assumed to remain constant, evaluate the air density at the point in the flow where the velocity is 250" " m/s. Compare this density with the density at the inlet to the channel. On the basis of this comparison, do you think that the use of Bernoulli's equation is justified?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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