As part of a development programme, scale model tests have been carried out on a new hydraulic machine. The experimental team have presented the following data. Thrust force F (MLT-2), the flow velocity v, viscosity µ (ML-1T-1) and density ρ of the fluid. A typical size of the system, l, is also given. Use dimensional analysis to find the formula that relate F to the other given quantities.
As part of a development programme, scale model tests have been carried out on a new hydraulic machine. The experimental team have presented the following data. Thrust force F (MLT-2), the flow velocity v, viscosity µ (ML-1T-1) and density ρ of the fluid. A typical size of the system, l, is also given. Use dimensional analysis to find the formula that relate F to the other given quantities.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 46PQ
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Topic: dimensional analysis
As part of a development programme, scale model tests have been carried out on a new hydraulic machine. The experimental team have presented the following data. Thrust force F (MLT-2), the flow velocity v, viscosity µ (ML-1T-1) and density ρ of the fluid. A typical size of the system, l, is also given. Use dimensional analysis to find the formula that relate F to the other given quantities.
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Force depends on the velocity, viscosity and density and length
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