Dimensionless equations - Fluid Mechanics

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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  • 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

    Eu = √(Inertia Force / Pressure Force)

    Ratio of same quantities having same dimensions, hence dimensionless equation.

    3. Weber's equation

    We = √(Inertia Force / Surface Tension Force)

    Ratio of same quantities having same dimensions, hence dimensionless equation.

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