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Q. Show the Geometric Similarity?
When model is required to provide an aid merely for visualisation, scaler reproduction of form is sufficient which is termed Geometric Similarity. If in addition reproduction of fluid motion is desired, laws of Kinematic Similarity are required to be followed. Study of hydrodynamic fluid forces is, however, more useful when Dynamic Similarity is required to be achieved in the model, conditions for which are two fold. One is that the ratio of each one of the forces in the model to that in the prototype should be the same. The other condition is that in both the model and the prototype, sum total of all forces should be equal to inertia force.
A wooden cylinder (specific gravity = 0.6) of circular cross - section having length L and diameter D floats in water. Find the maximum permissible (L/D) ratio so that the cylinder
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