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# What is a velocity potential?

###### Wiki User

###### October 28, 2009 8:55PM

A velocity potential is a scalar function whose gradient is equal to the velocity of the fluid at that point. If a fluid is incompressible and has zero viscosity (an ideal fluid) its velocity as a function of position can always be described by a velocity potential. For a real fluid this is not generally possible.

## Related Questions

###### Asked in Physics

### What happens to gravitational potential energy as velocity increases?

-- If the velocity is horizontal, then gravitational potential
energy doesn't change.
-- If velocity is vertical and upward, gravitational potential
energy increases
at a rate proportional to the speed.
-- If velocity is vertical and downward, gravitational potential
energy decreases
at a rate proportional to speed.

###### Asked in Physics, Kinematics

### What happens to the potential and kinetic energy of a free falling body?

The potential energy decreases as the body falls while the
kinetic energy increases.
P.E.=mass x gravity x height
The shorter the height the less potential energy there is
K.E.= 1/2 x mass x velocity^2
The velocity increases as the body falls and the bigger the
velocity the more Kinetic Energy produced

###### Asked in Physics

### What is Bernoulli's theorm?

###### Asked in Physics

### Why velocity of a mass attached to a spring is maximum at mean positions and zero at extreme positions?

This can easily be understood with conservation of energy.
Assuming that no energy is lost, potential energy is continuously
converted to kinetic energy, and vice versa. At the mean position,
the potential energy is zero, therefore the kinetic energy (and
hence the velocity) is at maximum.
This can easily be understood with conservation of energy. Assuming
that no energy is lost, potential energy is continuously converted
to kinetic energy, and vice versa. At the mean position, the
potential energy is zero, therefore the kinetic energy (and hence
the velocity) is at maximum.
This can easily be understood with conservation of energy. Assuming
that no energy is lost, potential energy is continuously converted
to kinetic energy, and vice versa. At the mean position, the
potential energy is zero, therefore the kinetic energy (and hence
the velocity) is at maximum.
This can easily be understood with conservation of energy. Assuming
that no energy is lost, potential energy is continuously converted
to kinetic energy, and vice versa. At the mean position, the
potential energy is zero, therefore the kinetic energy (and hence
the velocity) is at maximum.

###### Asked in Kinematics

### Does a jet plane at the point of taking off have kinetic energy or potential enegery?

Mostly kinetic energy, as it has a very high velocity. The
formula for kinetic energy is KE = 1/2mv2, where m is
mass in kg, and v is velocity in m/s. The formula for
potential energy is PE = mâ€¢gâ€¢h, where
m is mass in kg, g is 9.8m/s2, and h is height
above the ground. Notice that velocity (motion) is not a part of
the potential energy formula.

###### Asked in Physics

### Does speed affect gravitational potential energy of an object?

Does speed 'effect' the gravitational potential energy of an
object? No, but gravitational potential energy can be converted
into kinetic energy - so the gravitational potential energy can
effect the speed.
Ep = mgh
Energy Potential = mass * 9.81 (gravity) * height
Speed / Velocity is absent from that equation.