People who know about this scratch their heads here, because it is a principle which can be important in stars, but applied to Earth just describes
the hydrostatic balance of the atmosphere.
Not exact matches
Osmolar,
hydrostatic, and oncotic pressures all regulate the
balance of fluid movement.
So, we are now ready to pull all that together in order to show how a planetary atmosphere uses convective overturning to neutralise the effect
of radiatively active materials
of any type so that
hydrostatic balance can be maintained whatever fate throws at it.
Kinetic energy at the surface acting via conduction and convection supplies the upward pressure gradient force which offsets the downward force
of gravity in order to constantly hold the mass
of an atmosphere off the surface in
hydrostatic balance.
The
hydrostatic equation is the vertical component
of the momentum equation (Newton's equation
of motion) for the fluid parcel when the forces are in perfect
balance and the net acceleration = 0.»
To find the expression for the
hydrostatic balance, we first note that atmospheric surface pressure is due to the weight
of the entire atmospheric column above.
In fact, a gas with a DALR is a fairly special case
of the many «equilibria» one can reach in the specific limit
of hydrodynamic relaxation (only) to a state
of hydrostatic balance neglecting the much slower thermal relaxation that eventually makes the gas isothermal.
The adiabatic lapse rate is within the
hydrostatic balance because
of the properties
of gases which create the pressure.
In a neutral, unheated atmosphere, once one waits a very long time, there is no more movement
of air; it achieves
hydrostatic equilibrium, force
balance.
All
of them are
hydrostatic — in perfect force
balance — by construction, they satisfy the differential equation above for the
balance of buoyant forces in a fluid.
The second one is that in
hydrostatic equilibrium, where the vertical gradient
of total air is
balanced by gravity, the dynamic power is only produced by horizontal pressure gradients (i.e. q = — u. ∇ p).
The heating (e.g. latent heating is created by change
of state
of water and thus impacted by humidity) is redistributed until
hydrostatic balance is restored.
As soon as a global climate model readjusts a vertical column to unphysically alter the large scale solution in order to maintain
hydrostatic balance (overturning due to unrealistic heating parameterizations necessitate this adjustment), there is no mathematical theory that can justify the nature
of the ensuing numerical solution.
Regarding the origin, EU is more closely related to the total internal kinetic energy
of the atmosphere, which — according to the virial theorem — in
hydrostatic equilibrium
balances the total gravitational potential energy.