Planet Mean Surface Temperature Equation: Tmean =[Φ(1-a)S (β*N*cp)¹∕ ⁴ /4σ]¹∕ ⁴

based on Planet Surface Rotational Warming Phenomenon

The planet mean surface temperature Tmean is amplified by the Planet Surface Rotational Warming Phenomenon.

March 15, 2022

Opponent:

"We cannot compare the planet Te and planet Tmean, Wrong. If you know both temperatures then you can compare them What you should say is that are usually different to each other."

Answer:

Yes, they are different to each other. And here is why:

1). Planet doesn't reflect as a disk, but as a sphere. the not reflected portion of incident SW solar flux is not

(1-a)S

but

Φ(1-a)S

2). Planet doesn't absorb the not reflected portion of incident SW solar flux.

What planet does is to interact with the not reflected portion of incident SW solar flux.

When interacting with matter, only a fraction of the not reflected portion of incident SW solar flux is accumulated in inner layers in form of HEAT.

3). Also, the planet mean surface temperature Tmean is amplified by the Planet Surface Rotational Warming Phenomenon. 

For Venus the D * X/Y is five (5) orders of magnitude higher than that of Earth.

April 24, 2022 

Opponent:

Christos, why don’t your equations apply to planet Venus?

Answer:

Thank you for your respond. Please visit my site on the page Venus’ Tmean 735K.

“This section will be for planets with atmosphere. The wonderful thing is that when calculating, for planet Venus we obtain the Venus’ mean surface temperature T.atmo.mean.venus = 733,66 K”.

 “Venus has a high content of greenhouse gasses in the atmosphere. Also Venus has a high atmosphere ground density. That is why Venus’ the D * X/Y parameter is very high.

Important notice:

The Tmean.venus is calculated with the rotational spin of Venusian winds velocity, which is 60 times faster than Venus’ planet rotational spin N.venus = 60/243 = 0,24691 rot /day

This information is essential to calculate Venus’ without atmosphere surface mean temperature Tmean.venus = 258,85 K.

The Gases planets Jupiter, Saturn, Uranus and Neptune have a small content of greenhouse gasses in their atmosphere. Nevertheless, these planets have very strong greenhouse effect, because their atmosphere density D is very high.

Thus the D * X/Y parameter for Gases planets appears to be very much high. ”

Link: https://www.cristos-vournas.com/446364348

As you can see the influence on the planet mean surface temperature from the greenhouse gasses content depends on the greenhouse gases’ dimensionless partial density D * X/Y.

For Earth = 0,00681

For Titan = 0,05315

For Venus = 63,534

For Venus the D * X/Y is five (5) orders of magnitude higher than that of Earth.

And, for Venus, it is four (4) orders of magnitude higher than that on Titan.

Link: https://www.cristos-vournas.com/446364348

By the reversed Stefan-Boltzmann law what we are referring to is the “absorbing” surface.

May 4, 2022

Opponent:

"Christos Vournas Have you ever used an IR thermometer to get a temperature reading at a distance? The instrument receives IR to a sensor.

Based upon the temperature change of the sensor based upon a reference a calculation is made using the Stefan-Boltzmann relationship of radiant energy to temperature (taking into account emissivity).

You can experimentally verify that the Stefan-Boltzmann Law works in reverse by comparing the temperature reading you get on the IR thermometer with using a conventional thermometer on the same object to see how close they match (try it with water that has a reasonable high emissivity).

That a glass of water an get a reading with an IR thermometer then use a conventional thermometer on the water and see how close they match."

Answer:

Thank you for your respond.

“…by comparing the temperature reading you get on the IR thermometer with using a conventional thermometer on the same object to see how close they match…”

You describe the IR thermometer calibration process… What IR thermometer does is to measure surface temperature depending on the surface’s IR radiation intensity…

Knowing " T ", we can calculate " J ". Or, knowing " J ", we can calculate " T ". The equation works either way, at the emitting surface. 

Well, you do not use the Stefan-Boltzmann emission law in reverse here…

The Stefan-Boltzmann emission law states:

J = σ*Τ⁴ (W/m²) EM energy flux (1)

In your example you refer to the by surface the IR EM energy emission intensity. The reversed Stefan-Boltzmann law is about the incident on the surface EM flux’s " J " ability to warm the surface in the reversed way.

By the reversed Stefan-Boltzmann law what we are referring to is the “absorbing” surface.

The equation is no longer valid (for the purpose of irradiated surface mean temperature evaluation), as the not reflected portion of incoming flux is not entirely absorbed and emitted.

A significant part of the not reflected portion of incoming flux is merely IR emitted on the very instant EM energy hits surface. It is a fraction of EM energy which is IR emitted by surface, without first being transfomed into HEAT and then re-emitted (not the usual way Stefan-Boltzmann emission law dictates). It is more likely, as the on the instant a part of the insident SW into IR transformation and isotropic IR emission, without the intermediate accumulation in form of HEAT...

Thank you for helping to clear this out.