Here are the basic
heat transfer equations.
1) «back radiation» is radiation 2) radiation is included in standard
heat transfer equations Therefore «back - radiation» is included in standard
heat transfer equations
How about using real
heat transfer equations to explain this rather than back radiation.
Further, I repeat that none of
the heat transfer equations have an input for back radiation.
Its main argument is that idealized blackbody calculations did not correctly predict the Moon's surface temperatures in the 1960s because other factors besides radiative
heat transfer equations actually determine real surface temperatures.
You correctly state that «less energy is needed to to raise one gram of CO2 one °C than one gram of air one °C» but you have simply ignored mass and the fundamental
heat transfer equation Q = m x c x delta T.
I have no idea how to post even the simple
heat transfer equation and have it look proper.
The cold term has always, always, been right there in
the heat transfer equation, always indicating that heat flows only from hot to cold.
Steve I will ask you to show the radiative
heat transfer equation in which you input an emission from another body, gas / solid or fluid and show where it lowers the rate of cooling.
There is no input for back radiation in
any heat transfer equation so taking as if it does something can not be shown via standard equations.
Not exact matches
In the classic
heat -
transfer equation, the rate of temperature change depends on how uniformly the thermal energy is distributed through an object.
To explain
heat transfer at the microscopic scale, however, Chiloyan and Chen had to dig up the lesser - known form known as microscopic Maxwell's
equations.
The amount of energy absorbed depends on the temperature of the absorber, shown to be true by the stefan - boltzmann
equation for net
transfer of
heat.
There are many situations that the primary
equations and dimensionless numbers that are used to determine the convective
heat transfer from one object to another.
Previously I showed an
equation that showed the ratio of convective and radiative
heat transfer.
The core science, the radiative
transfer equations that determine the way increasing CO2 increases the temperatures gradient between the emission altitude and the surface, derived from military research on
heat seeking missile and detection systems.
In normal usage it only applies when the steady state
equations won't apply because of the delay in the
heat transfer into an object.
That
equation is derived from the ratio of the Nusselt and the radiative
heat transfer (RHT) rates.
Require more rigorous educational standards for the GCM modelers in the areas of
Heat Transfer, Fluid Mechanics, Thermodynamics and non-linear differential
equations.
The implication that a modicum of ocean
heat is needed to initiate a hurricane needs to be backed up by some back - of - envelope
equations that convey
heat transfer functions, latent
heat, circulation rates etc., to show that the hot ocean is capable to
transferring enough
heat into a storm to make a difference.
In this case you have the diffusion
transfer equation, which similarly has a differential of hot and cold terms describing the
heat flow, as does the radiation
transfer equation, and we all understand that
heat does not physically diffuse from cold to hot and that physical contact between a cold object and warm object does not make the warmer object warmer still.
Heat conduction satisfies a linear
equation, but radiative
transfer does not.
However, intuition is not as reliable as applying the basic
equations of
heat transfer.
The only correct approach to calculating
heat transfer and temperatures is to apply the relevant
equations of conduction, convection and radiation to the particular problem in question.
Although your math seems to work, it appears to me that your conclusion may not be correct, at least if Velasco et al. are; if I interpret their paper correctly, the kinetic - energy profile of their
Equation 8 is the maximum - entropy configuration, from which I would conclude that a strictly isothermal microcanonical ensemble will spontaneously undergo (an incredibly small)
heat transfer to assume that (ever so slightly non-isothermal) configuration.
This is described by the
equation for conductive
heat transfer, which in (relatively) plain English says:
If you just use R and L then the hypothesis no longer forbids DLR directly effecting dH and can now be used to
heat the ocean directly in
equations of
heat transfer.
If we solve the differential
equations governing
heat transfer between atmosphere and oceans and find that
heat transfer does in fact occur, in both directions, then we can conclude that the above choices are not mutually exclusive.
In this
equation, q is the rate of
heat transfer, which is the NET rate of energy
transfer.
People write down
heat equations for the ocean but then they pretend that they're not really talking about molecular
heat transfer but some sort of effective
heat transfer so they use much larger thermal diffusion coefficients than the molecular ones.