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Show that maximum efficiency of a jet striking normallly on a series of flat plates arranged over periphery of runner is 50% |
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Answer» A FREE jet striking normally on a series of flat plates mounted on the periphery of a WHEEL.To Find:let us assummmeeeeeee that the efficiency of jet doesnt exceed 50%.Solution:Let we take:Density of fluid =Velocity of fluid = {Speed of wheel = Exit area of nozzle = Mass of fluid strike with blade is :Mass of fluid = m =Relative velocity of jet strike with blade with respect to blade = V- uWork done by jet on blade: = W = \= = = =On simplifying you will get:) = = From here, we see that efficiency of jet depend upon speed of wheel for a PARTICULAR value of speed of jet:On differentiating efficiency with respect to blade speed , we get: = This is required CONDITION of blade speed for maximum efficiency of jet:Putting value of U from equation 4 to equation 3): ==On solving , you willv get:= = 50%Hence prove that the efficiency of a free jet striking normally on a series of flat plates mounted on the periphery of a wheel can never exceed 50%.Explanation:look bro i had to all this atleast you can mark as brainliest wont you |
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