A piston moves with constant velocity U0 in a cylinder having radius R. A liquid having density leaves the open end with conical velocity proÖle V~ = V0(1-r/R)^k.Figure for problem 1.(a) If the exhaust port is closed, find the value of V0 in terms of U0. Be sure to define an appropriate control volume for solving this problem.(b) If V0 = U0, find the volume áow rate leaving through the exhaust port (in terms of U0 and R) A piston moves with constant velocity Up in a cylinder having radius R. A liquid having density aleaves the open end with conical velocity profile = Võ(1 – 4)k.exhaust portUoexit velocity profileFigure for problem 1.(a) If the exhaust port is closed, find the value of Vo in terms of Ugo. Be sure to define an appropriatecontrol volume for solving this problem.(b) If Vo=Uo, find the volume flow rate leaving through the exhaust poet (in terms of Up and R).

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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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A piston moves with constant velocity U0 in a cylinder having radius R. A liquid having density leaves the open end with conical velocity proÖle V~ = V0(1-r/R)^k.Figure for problem 1.
(a) If the exhaust port is closed, find the value of V0 in terms of U0. Be sure to define an appropriate control volume for solving this problem.
(b) If V0 = U0, find the volume áow rate leaving through the exhaust port (in terms of U0 and R)

Transcribed Image Text:A piston moves with constant velocity Up in a cylinder having radius R. A liquid having density a leaves the open end with conical velocity profile = Võ(1 – 4)k. exhaust port Uo exit velocity profile Figure for problem 1. (a) If the exhaust port is closed, find the value of Vo in terms of Ugo. Be sure to define an appropriate control volume for solving this problem. (b) If Vo=Uo, find the volume flow rate leaving through the exhaust poet (in terms of Up and R).

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