Navier-stockes equation of motion - Fluid Mechanics

Q.  When the net force acting on a fluid is the sum of only gravity force, pressure force and viscous force, the equation is called as
- Published on 04 Aug 15

a. Reynold's equation of motion
b. Navier-stockes equation of motion
c. Euler's equation of motion
d. none of the above

ANSWER: Navier-stockes equation of motion
 

    Discussion

  • Pankaj   -Posted on 28 Sep 15
    While considering fluid dynamics, various forces act on fluid such as gravity force, pressure force, viscous force, turbulent force and compressibility force. Therefore net force acting on the fluid is the sum of all these forces.

    Net force = Fg + Fp + Fv + Ft + Fc

    As the compressibility of fluid id negligible, its force can be neglected.

    ∴ Net force = Fg + Fp + Fv + Ft

    This equation is called as Reynold's equation of motion.

    If compressibility and turbulence effects on the fluid are neglected then,

    Net force = Fg + Fp + Fv

    This equation is called as Navier-stockes equation of motion. It is useful in the study of viscous flow. It is useful in the study of viscous flow.

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