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What are the requirements for dynamical similarity between two fluid motions when considering the following?

(a)
(i) Viscous resistance
(ii) Wave resistance
(iii) Compressibility
(iv) Surface tension


Sagot :

Final answer:

Understanding requirements for dynamical similarity in various fluid motions including viscous and wave resistance is crucial for fluid dynamics analysis.


Explanation:

Requirements for Dynamical Similarity in Fluid Motions

Viscous Resistance: The Reynold's number plays a crucial role in determining whether the flow is laminar or turbulent. For dynamical similarity, matching Reynold's numbers is essential.

Wave Resistance: When considering wave resistance, the Froude number is significant. For dynamical similarity in wave resistance, matching Froude numbers is necessary.

Compressibility and Surface Tension: In the context of dynamical similarity, matching Mach numbers for compressibility and Weber numbers for surface tension is vital.


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