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Equation of motion


Equation of motion

A net force fx acting on a fluid element in the direction of x is equivalent to the mass (m) of the fluid element, according to the second low of movement of newton.

                 Multiplied by the acceleration ax in the x-    direction. Thus mathematically,

                             Fx=m x ax  ---                    (1)

In the fluid flow, the fllowing forces are present :

(1)         Fg. gravity force.

(2)         Fp. the pressure force.

(3)         Fv. the force due to viscosity

(4)         Ft . force due to turbulenes.

(5)         Fc. Force due to compressibility.

Thus in equastion  (1).the net force.

         Fx= (fg)x + (fp)x +(fv)x + (ft)x +(fc)x.

(1)if the force due to compressibility, fc is negligible the resulting net force.

              Fx= (fg)x + (fp)x +(fv)x + (ft)x

and equation of motion are called reynold’s equation.




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