Task 1 (d) The force, F, of a turbine generator is a function of density p, area A and velocity v. By assuming F = apª A® v€ and dimensional homogeneity, find a, b and c and express F in terms of p, A and v. (a, a, b and c are real numbers). Make the following assumptions to determine the dimensionless parameter: F= 1kN if the scalar values of pAv= 1milli. (e) The dynamic coefficient of viscosity µ (viscosity of a fluid) is found from the formula: , μΑν F Fis the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocity and l is the distance travelled by the fluid. Using dimensional analysis techniques, determine the

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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Task 1
(d) The force, F, of a turbine generator is a function of density p, area A and velocity v. By
assuming
F = apª A® vc
and dimensional homogeneity, find a, b and c and express F in terms of p, A and v. (a, a, b and c
are real numbers). Make the following assumptions to determine the dimensionless parameter:
F = 1k N if the scalar values of pAv= 1milli.
(e) The dynamic coefficient of viscosity µ (viscosity of a fluid) is found from the formula:
µAv
F =
Fis the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocity
and l is the distance travelled by the fluid. Using dimensional analysis techniques, determine the
equation that governs µ and its dimensions using the results of (b) and the equation in c, clearly
showing all steps in the dimensional analysis.
Transcribed Image Text:Task 1 (d) The force, F, of a turbine generator is a function of density p, area A and velocity v. By assuming F = apª A® vc and dimensional homogeneity, find a, b and c and express F in terms of p, A and v. (a, a, b and c are real numbers). Make the following assumptions to determine the dimensionless parameter: F = 1k N if the scalar values of pAv= 1milli. (e) The dynamic coefficient of viscosity µ (viscosity of a fluid) is found from the formula: µAv F = Fis the force exerted on the liquid, A is the cross sectional area of the path, v is the fluid velocity and l is the distance travelled by the fluid. Using dimensional analysis techniques, determine the equation that governs µ and its dimensions using the results of (b) and the equation in c, clearly showing all steps in the dimensional analysis.
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