choose whether the statement is true or false and discuss your answer brieflyGeometric similarity is a necessary condition for kinematic similarity.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter6: Forced Convection Over Exterior Surfaces
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Problem 6.32P
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choose whether the statement is true or false and discuss your answer brieflyGeometric similarity is a necessary condition for kinematic similarity.

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Step 1

Geometry similarity is a necessary condition for a kinematic similarity but it is not a sufficient condition for the kinematic similarity.

Step 2

Kinematic similarity states the velocity at a point in the model should be proportional to the velocity at a similar point in the prototype model flow (can be scaled)

In other words, the flow streamlines should have the same shape i.e. similarity of motion.

Also, the motion is described by the distance and time, which implies the geometry similarity and similarity of time intervals.

Therefore, the geometry similarity is a necessary condition but not a sufficient condition for the kinematic similarity

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