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Select the correct statement
  • a)
    Weber's number is the ratio of inertia force to elastic force.
  • b)
    Weber's number is the ratio of gravity force to surface tension force.
  • c)
    Weber's number is the ratio of viscous force to pressure force.
  • d)
    Weber's number is the ratio of inertia force to surface tension force.
Correct answer is option 'D'. Can you explain this answer?
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Select the correct statementa)Weber's number is the ratio of inertia f...
Weber's number in fluid mechanics

Introduction:
Weber's number is a dimensionless parameter used in fluid mechanics to describe the relative importance of the inertia force and surface tension force. It is named after the German physicist Wilhelm Eduard Weber.

Definition:
Weber's number is defined as the ratio of inertia force to surface tension force. It is denoted by We.

Formula:
We = (ρv²L) / σ

where:
ρ = density of the fluid
v = velocity of the flow
L = characteristic length of the flow
σ = surface tension of the fluid

Explanation:
In fluid mechanics, inertia force arises from the tendency of a fluid to resist changes in its velocity. Surface tension force arises due to the attraction between the molecules at the surface of a fluid. Weber's number measures the relative importance of these two forces in a fluid flow.

If Weber's number is small, the surface tension force dominates, and the fluid behaves like a viscous fluid. If Weber's number is large, the inertia force dominates, and the fluid behaves like an inviscid fluid.

Examples:
1. In a soap bubble, the surface tension force is dominant, and Weber's number is small.
2. In a high-speed jet of water, the inertia force is dominant, and Weber's number is large.

Conclusion:
Weber's number is an important parameter in fluid mechanics that helps in understanding the behavior of fluids in different situations. It is used in many applications, such as in the design of jets, sprays, and bubbles.
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Select the correct statementa)Weber's number is the ratio of inertia force to elastic force.b)Weber's number is the ratio of gravity force to surface tension force.c)Weber's number is the ratio of viscous force to pressure force.d)Weber's number is the ratio of inertia force to surface tension force.Correct answer is option 'D'. Can you explain this answer?
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