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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