Question
Download Solution PDFReynold’s model law is the law in which models are based on:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
For Dynamic Similarity between the model and prototype of the ship the ratio of the corresponding forces on the model and the prototype should be equal. The ratio of the forces give dimensionless numbers, so the dimensionless numbers should be the same for model and prototype.
Reynold’s Model Law: It is applicable for pipe flows and flow over submarines, airplanes and for fully submerged bodies.
Reynold Number is the ratio of inertia forces to viscous forces.
\(Re=\frac{Inertia~Force}{Viscous~Force}~=\frac{\rho vD}{\mu }\)
(Re)model = (Re)prototype
\(Re=\frac{\rho vD}{\mu }\)
Where ρ is the density of the fluid, v is the velocity of the ship and D is the characteristic dimension of geometry over which fluid is flowing, μ is the dynamic viscosity of the water.
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