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Dimensionless equations - Fluid Mechanics
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Q. Which of the following is a dimensionless equation?
- Published on 05 Aug 15
a.
Reynold's equation
b.
Euler's equation
c.
Weber's equation
d.
All of the above
ANSWER: All of the above
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Discussion
Pankaj
-Posted on 05 Oct 15
The equation in which all the physical quantities do not have any dimensions is called as dimensionless equation.
1. Reynold's number
Re = Inertia force / Viscous force
Since both the forces have same dimensions, their ratio becomes dimensionless.
Similarly,
2. Euler's Number
E
_{u}
= √(Inertia Force / Pressure Force)
Ratio of same quantities having same dimensions, hence dimensionless equation.
3. Weber's equation
W
_{e}
= √(Inertia Force / Surface Tension Force)
Ratio of same quantities having same dimensions, hence dimensionless equation.
➨
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