Consider the one-dimensional, incompressible flow through the circular channel shown. The velocity at section 1 is given by U5U0 1U1 sin ?t, where U0 520 m/s, U1 5 2 m/s, and ? 5 0.3 rad/s. The channel dimensions are L51 m, R1 50.2 m, and R2 50.1 m. Determine the particle acceleration at the channel exit. Plot the results as a function of time over a complete cycle. On the same plot, show the acceleration at the channel exit if the channel is constant area, rather than convergent, and explain the difference between the curves.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the one-dimensional, incompressible flow through the circular channel shown. The velocity at section 1 is given by U5U0 1U1 sin ?t, where U0 520 m/s, U1 5 2 m/s, and ? 5 0.3 rad/s. The channel dimensions are L51 m, R1 50.2 m, and R2 50.1 m. Determine the particle acceleration at the channel exit. Plot the results as a function of time over a complete cycle. On the same plot, show the acceleration at the channel exit if the channel is constant area, rather than convergent, and explain the difference between the curves.
R1
Tx
L
X2
R₂
Transcribed Image Text:R1 Tx L X2 R₂
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