Independent variables in a turbomachine are the impeller diameter, D, angular speed, ω, and fluid viscosity and density. Dependent properties are volumetric flow rate, Q, head, H (energy per unit mass), and power input, P. Use ρ, ω, and D as repeating variables in a dimensional analysis. a) Determine the dimensionless ratios that characterize this problem. b) Under what conditions will flows in two different machines be similar? c) Determine the speed of operation for machine 2 for the same flow as machine 1 if D2/D1 = 2 and viscous effects are unimportant. What will be the head ratio under these conditions? Note:hand written solution should be avoided.
Independent variables in a turbomachine are the impeller diameter, D, angular speed, ω, and fluid viscosity and density. Dependent properties are volumetric flow rate, Q, head, H (energy per unit mass), and power input, P. Use ρ, ω, and D as repeating variables in a dimensional analysis. a) Determine the dimensionless ratios that characterize this problem. b) Under what conditions will flows in two different machines be similar? c) Determine the speed of operation for machine 2 for the same flow as machine 1 if D2/D1 = 2 and viscous effects are unimportant. What will be the head ratio under these conditions? Note:hand written solution should be avoided.
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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Independent variables in a turbomachine are the impeller diameter, D, angular speed, ω, and fluid viscosity and density. Dependent properties are volumetric flow rate, Q, head, H (energy per unit mass), and power input, P. Use ρ, ω, and D as repeating variables in a dimensional analysis.
a) Determine the dimensionless ratios that characterize this problem.
b) Under what conditions will flows in two different machines be similar?
c) Determine the speed of operation for machine 2 for the same flow as machine 1 if D2/D1 = 2
and viscous effects are unimportant. What will be the head ratio under these conditions?
Note:hand written solution should be avoided.
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