Hi asapppp ProblemThe power required to drive a propeller, P, is a found to be a function of the freestream velocity U, fluiddensity P, fluid viscosity (in the unit of Pa-s), the propeller diameter D, and the angular velocity ofthe propeller (in the unit of rad /s; note that radian is dimensionless).(a) Make this relation dimensionless using the Buckingham-Pi Theorem (you must identify all z-groupsMLa punne(b) A full-scale propeller with a diameter of 1m is working under water withP=1000kg/m³, = 0.001Pa-s, flowing at a freestream velocity of 1m/s. You want to build anexperimental model using air as the working fluid with Par=1.225kg/m, 1.8x10 Pa-s,flowing at a freestream velocity of 5m/s. Assume the so-called Strouhal number @D/U for the twoflows are already matched, what should be the diameter of the experimental model? (Apply dynamicsimilarity condition by matching the Reynolds numbers),-.(c) The measured power required to drive the experimental model is 20kW. What is the powerrequired to drive the full-scale propeller?

The power is function of free stream velocity , fluid density , fluid viscosity , the propeller…

Problem 1 MAY LA The power required to drive a propeller, P, is a found to be a function of the freestream velocity U, fluid density P, fluid viscosity (in the unit of Pa-s), the propeller diameter D, and the angular velocity of the propeller (in the unit of rad/s; note that radian is dimensionless). (a) Make this relation dimensionless using the Buckingham-Pi Theorem (you must identify allz-groups for pullively (b) A full-scale propeller with a diameter of 1m is working under water with P. = 1000kg/m³, H=0.001Pa-s, flowing at a freestream velocity of 1m/s. You want to build an experimental model using air as the working fluid with Pair = 1.225kg/m, H = 1.8x10 Pa-s, flowing at a freestream velocity of 5m/s. Assume the so-called Strouhal number @D/U for the two flows are already matched, what should be the diameter of the experimental model? (Apply dynam similarity condition by matching the Reynolds numbers) c) The measured power required to drive the experimental model is 20kW. What is the power required to drive the full-scale propeller?

Problem 1 MAY LA The power required to drive a propeller, P, is a found to be a function of the freestream velocity U, fluid density P, fluid viscosity (in the unit of Pa-s), the propeller diameter D, and the angular velocity of the propeller (in the unit of rad/s; note that radian is dimensionless). (a) Make this relation dimensionless using the Buckingham-Pi Theorem (you must identify allz-groups for pullively (b) A full-scale propeller with a diameter of 1m is working under water with P. = 1000kg/m³, H=0.001Pa-s, flowing at a freestream velocity of 1m/s. You want to build an experimental model using air as the working fluid with Pair = 1.225kg/m, H = 1.8x10 Pa-s, flowing at a freestream velocity of 5m/s. Assume the so-called Strouhal number @D/U for the two flows are already matched, what should be the diameter of the experimental model? (Apply dynam similarity condition by matching the Reynolds numbers) c) The measured power required to drive the experimental model is 20kW. What is the power required to drive the full-scale propeller?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.8P

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