Problem on buckinghams theorem


Assignment:

Suppose that the lift force F (M  L  T-2) on a missile depends on characteristic length scales D (L) and r (L) of the missile.

 

Additionally, F may depend on the air density ρ (M  L-3),

 

the viscosity µ (M  L-1 T-1) and missile velocity v (L  T-1) .

 

 

a) Develop a model for the lift force F.

 

 

b) Find two other possibilities to represent the standardized lift force F in terms of non-dimensional products. (Buckingham's Theorem).

Provide complete and step by step solution for the question and show calculations and use formulas.

 

 

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Mathematics: Problem on buckinghams theorem
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