If the observations are confirmed, then it shows that Einstein's theory of general relativity holds even under extreme conditions —
in gravity fields produced by objects like the galactic center's black hole, which contains the mass of 4 million suns.
It reminds me of the story of the Apollo 15 astronauts standing on the surface of the moon and dropping a feather and a hammer to demonstrate Galileo's theory of objects
in gravity fields in vacuums.
But there is reason to suspect that gravitational energy is a special case, that measurements of sufficient accuracy might expose a violation of the equivalence principle when energy is stored
in a gravity field.
«We can measure a one - part - in - a-billion change
in the gravity field,» says Maria Zuber, head of MIT's Department of Earth, Atmospheric, and Planetary Sciences and leader of the gravity - mapping team.
They have found that that the loss of ice from West Antarctica between 2009 and 2012 caused a dip
in the gravity field over the region.
The contribution from Antarctica adds up to 180 gigatonnes per year, but there is considerable uncertainty here because changes
in the gravity field due to Earth's crust rebounding are less well understood over Antarctica than elsewhere.
This image shows the variations
in the gravity field near the buried impact crater.
Streets fill with citizens who'll bump into Kat, duck in panic as she zooms overhead, or flail in even more panic if she's careless enough to snatch them up
in her gravity field.
Therefore, it is clear that the «APE ``, so gas law
in gravity field, is insufficient to explain the temperature in the atmosphere completely.
Balanced heat is thermal gradient in atmosphere
in a gravity field.
I agree that the application of higher resolution model equipment does not help to reduce the uncertainty range of the sea level in the Amsterdam harbours: assumptions about changes in the heat storage, icecap melting and changes
in the gravity field dominate this uncertainty range (although some regiona features related to oceanic circulation and heat redistribution may be better resolved in higher resolution models).
Some people do not understand how heat can be deposited
in the gravity field.
There is however vigorous random mixing of the molecules up and down the ideal gas column at equilibrium
in a gravity field leading to non-zero pressure and non-zero temperature gradients at equilibrium proven by reasonable experiment and theory of published physicists.
The questions that remain are: Is isothermal state the lowest energy state for a compressible gas
in a gravity field?
KE varies with PE (h)
in a gravity field... (can you say non-isothermal?)
One could speculate the ideal particle speed distribution is deterministic
in a gravity field also and M - B could be extended to include gravity — get a non-isothermal column in hydrostatic equilibrium due to non-isotropic particle velocities.
No, not in a reasonable ideal gas
in a gravity field where the maximum entropy will be eventually achieved and maintained w / temp.
Again, 2.17 is for the isothermal no gravity isotropic velocity case, you can not use Caballero here to support dT / dz = 0 isothermal gas column
in a gravity field.
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.
This proof you have referred me to is for the isotropic velocity / temperature field ideal gas NOT
in gravity field.
The reason is that gases are really lousy conductors of heat, especially downwards, meaning downwards
in a gravity field.
3) The Fourier heat conduction formula is general for solids and is not applicable in general to fluids — only applicable to fluids with molecules not acted on by gravity; is applicable to ideal gas
in gravity field only at boundary to a solid under certain conditions.
which is inapplicable to ideal gas
in a gravity field.
That force is m.g, where m is the mass of the molecule, and g is the acceleration due to gravity, so m.g is literally the WEIGHT
in the gravity field of that molecule.
The logic here is that the ideal gas column in ideal closed container
in a gravity field (top post Fig. 1) is a reversible system in equilibrium.
If no new energy is being pumped into the base then the law of conservation of energy means that heat can not be conducted up
in a gravity field and so the top will be colder than the base and remain so ie no force can be applied.
(Say it again: Deduce from 1st Law: molecule (s) KE or temperature must vary
in a gravity field with PE, for total energy to be constant, OMG!)
Bohren & Albrecht prove it is non-isothermal with actual algebra: ideal gas temperature does decrease with increasing height
in a gravity field.
This just shows why there are no perfect insulators — Perpetuum Mobiles could be constructed in gas
in a gravity field.
In a gravity field there is a preference.
More homework to find why those molecules can climb up
in gravity field at constant speed, constant T even though «Mean velocities will be greater near the bottom of the box than near, the top..»
If you consider all the heat in the silver conductor as a distribution of mass then that mass has a center of gravity
in the gravity field.
Robert Brown's gas - filled cylinder
in a gravity field is identical to a gas - filled cylinder that is constantly being accelerated by a force.
As experiment 4 clearly shows surface Tmax is the driving factor in a deep atmosphere with a pressure gradient
in a gravity field.
What happens to a free moving body of gas
in a gravity field when you heat at the bottom and cool at the top?
Experiment 4 shows the effect of convective circulation on the average temperature of gas columns
in a gravity field.
I'm only suggesting that Dominic Ford's simulation is not an ironclad proof of isothermal equilibrium
in a gravity field, as FOMD implied.
Heating and cooling a gas column
in a gravity field at separate locations at the base results in a higher average temperature than heating at the base and cooling at the top.
First, the relative height of energy input and output for a gas column
in a gravity field determines whether convective circulation develops.
So Pekka finds that the molecules at any height
in the gravity field of Earth have a Maxwell - Boltzmann velocity distribution.
For an atmosphere
in a gravity field with a vertical pressure gradient in which the gases are free to move, the gas temperature set by surface conduction will be close to surface Tmax, not Tav.
Experiment 3 demonstrates that convective circulation in fluid
in a gravity field can be driven by removing energy from the top of the fluid.
-- Joel, this is the mistake of thinking temperatures in a deep body of free moving gas
in a gravity field are set by surface Tav.
FOMBS suggested that a calculation of molecules passing 1 km, 2 km etc would show that the velocity was independent of the height
in the gravity field.
«They have found that the loss of ice from West Antarctica between 2009 and 2012 caused a dip
in the gravity field over the region.»
Over its lifetime of about 20 months, GOCE will map these global variations
in the gravity field with extreme detail and accuracy.
So yes, that is taken into account, because even moving things horizontally
in a gravity field creates heat.
Not exact matches
Each weighed more than 180 lbs on Earth, but just one - sixth as much
in the moon's weaker
gravity field.
@Vic: «but I can tell you that things like the Big Bang, the Multiverse, etc. are theories at best, and the Theory of General Relativity and Quantum Mechanics are
in a direct collision course when it comes to the Black Holes, and
Gravity is the show stopper for a Unified
Field Theory, and so on and so forth.»
I'd also think that someone, with a PhD from Duke
in a science
field, would understand the scientific definition of theory, and that evolution — just like
gravity — is both fact and theory.