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Consider a flow field given by circular streamlines. The velocity field for the flow is as follows.
Predict the pressure distribution p(r) in the flow.
Correct answer is 'D'. Can you explain this answer?
Verified Answer
Consider a flow field given by circular streamlines. The velocity fie...
Using Euler’s equation in streamline coordinates
along the normal direction [i.e. normal to streamline] which is actually −ve of radial direction
Also as V = V(r), speed is constant along a streamline, therefore tangential acceleration (as) in the flow is zero.
as = 0
Thus by Euler’s equation along the tangential direction
i.e. pressure along a streamline is constant, it can vary only across streamlines.
Thus from equation ②
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Most Upvoted Answer
Consider a flow field given by circular streamlines. The velocity fie...
Using Euler’s equation in streamline coordinates
along the normal direction [i.e. normal to streamline] which is actually −ve of radial direction
Also as V = V(r), speed is constant along a streamline, therefore tangential acceleration (as) in the flow is zero.
as = 0
Thus by Euler’s equation along the tangential direction
i.e. pressure along a streamline is constant, it can vary only across streamlines.
Thus from equation ②
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Consider a flow field given by circular streamlines. The velocity field for the flow is as follows.Predict the pressure distribution p(r) in the flow.Correct answer is 'D'. Can you explain this answer?
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