6.It is proposed to study the entry of an aircraft launchedtorpedo into seawater. The full-size prototype torpedo is 2.44 m inlength and enters at 100 m/s into seawater which has a kinematicviscosity, ν = 1.17 x 10-6 m2/s (see the table in the front coverof your textbook). A model test is proposed where the length of themodel torpedo is 0.537 m in length. The desire is to predict theforce on the prototype torpedo upon entry into the water, using themeasured force in the model study.

a.Assuming F = f(ρ, μ, V, L, g) determine the relevantdimensionless parameters for this flow phenomenon. Use ρ, V and Las the repeating variables in your analysis. V is the entryvelocity, L is the length of the torpedo and g is the accelerationof gravity.

b.Assuming the dimensionless parameter containing the viscosityis not important at these conditions determine the necessary launchvelocity in the model study and the force on the prototype if themeasured model force is 9 N. (Assume g is the same for both themodel and prototype. Also assume seawater is used in the modelstudy.)

c.Now, assume the dimensionless parameter containing theviscosity is important. Can the fluid used in the model study bethe same as the prototype fluid (seawater)? Explain. If not, canyou find a fluid for the model study such that full similitude isachieved between the model and prototype? What fluid?