In a supersonic flow, the force on a body, F, depends on the length of the body, L, its diameter, D, flow velocity, V, fluid density, p, and bulk modulus of elasticity, E. Derive an expression for force, F, using Buckingham Pi theorem. If a model is being constructed with a model to prototype ratio of 1:10, what would be the velocity ratio of model to prototype? (Ambient fluid for both model and prototype is air)

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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In a supersonic flow, the force on a body, F, depends on the length of the body, L, its
diameter, D, flow velocity, V, fluid density, p, and bulk modulus of elasticity, E. Derive
an expression for force, F, using Buckingham Pi theorem.
If a model is being constructed with a model to prototype ratio of 1:10, what would be
the velocity ratio of model to prototype? (Ambient fluid for both model and prototype
is air)
Transcribed Image Text:In a supersonic flow, the force on a body, F, depends on the length of the body, L, its diameter, D, flow velocity, V, fluid density, p, and bulk modulus of elasticity, E. Derive an expression for force, F, using Buckingham Pi theorem. If a model is being constructed with a model to prototype ratio of 1:10, what would be the velocity ratio of model to prototype? (Ambient fluid for both model and prototype is air)
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