Sentences with phrase «hydrostatic equilibrium with»

Not exact matches

Multiplied by the decreasing density with altitude (the other half), there is always just enough pressure for the lower layers of the atmosphere to hold up the upper layers and so on up leading to lower and lower pressure with altitude as there is less and less mass above each layer (hydrostatic equilibrium).

In his 2007 paper, Miskolczi (still screwed up on Kirchhoff's Law) goes overboard with his misunderstanding of the virial theorem, radiation pressure (he left out the light speed «c» factor), and hydrostatic equilibrium.

Caballero even goes so far in Sec. 2.3.1 to write: «Overall, it can safely be stated that atmospheric motions with horizontal scales > 10 km are always in hydrostatic equilibrium.»

He incorrect asserts that the hydrostatic equilibrium state with a lapse rate is true thermodynamic equilibrium and would be present in an isolated gas after a very long time.

Suppose you prepare the gas in hydrostatic equilibrium (so it is in perfect force balance) but with a thermal lapse.

1) Start by computing the total GHG - free air constant mass per unit area of a gas layer between any two heights under gravity g 2) Add in the hydrostatic equilibrium pressure change with height in the gravity field 3) Compute the total enthalpy per unit area of the layer realizing the layer possesses potential energy per unit area in earth's gravity field 4) From that, realize energy conservation imposes a constraint that total dry static energy is constant in the layer (within adiabatic control volume) 5) From this, realize and compute the total entropy (S) of the layer over the height of the layer 6) Transform S computation from height to pressure by way of hydrostatic eqn.

Because we are starting with hydrostatic equilibrium, then the buoyant force is equal to the gravitational force.

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.

If you want, I'd be happy to help you out and show you, or you can continue to argue as if hydrostatic equilibrium is itself a unique state, the one with the DALR.

The maximum entropy state is the thermodynamic equilibrium state is the isothermal hydrostatic solution, not the hydrostatic solution with the DALR or any other initial thermal gradient.

So S (34), originally formulated from different considerations (although again involving hydrostatic equilibrium), is consistent with independent energy considerations.