Showing posts with label venus. Show all posts
Showing posts with label venus. Show all posts

Thursday, 4 June 2020

The Diagonal Comparison that underpins 'climate science'

I am aware that I am losing my audience here, but I'm drafting chapters for a book that will never be published. I trust you are familiar with the various concepts and calculations by now, it's a bit tedious repeating them all.
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In science, as in real life, you are supposed to compare like-with-like.

If you run experiments to see how high a ball bearing will bounce, you are only supposed to change one variable, so...
a) You drop a ball bearing, from the same height, onto different surfaces (concrete, rubber, wood); or
b) You drop the same ball bearing, onto the same surface, from different heights; or
c) You drop a different size ball bearing (made of the same material as the small one) from the same height onto the same surface.

The results tell you
a) How bouncy different surfaces are; or
b) How the drop height affects bounce height; or
c) How size of the ball bearing affects bounce height.

There is no point dropping  a small ball bearing, made of steel, from 10 metres, onto concrete, and measuring how high it bounces. Then dropping a large ball bearing, made of copper, from 12 metres, onto rubber, and measuring how high that one bounces. The latter will bounce a bit higher, we assume.

But what conclusion can you draw? That large ball bearings bounce higher than small ones? That copper is bouncier than steel? That a ball bearing bounces higher if you drop it from higher? That rubber is bouncier than concrete? At least one of those things must be true, but some might not be.

Clear so far? Back to the actual topic...
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Q1. What is the Consensus' most compelling evidence for the influence of 'greenhouse gases' on the temperature of the hard surface?

A1. The poster boy (or girl?) for this is the planet Venus.

A few agreed facts:
- if you look at it through a visible-light-telescope, you can see that the surface is white (clouds made of H2SO4*, although we don't know that yet), with an albedo 0.75. If you are Isaac Newton, you can also work out its distance from the Sun, its size and its mass (and hence acceleration due to gravity).
- the 'effective temperature' can then be calculated as ~ 230 K (this calculation is really tricky, but let's accept the result as correct).
- with infra-red-telescopes and actual space probes, we have since measured the actual temperature at the hard surface at 735 K, and know that the atmosphere is 95% CO2. There are about one thousand tonnes of CO2 per m2 surface (as opposed to about 6 kg per m2 on Earth).
- therefore, the Greenhouse Effect on Venus ≈ 500 K (on Earth, the same calculation suggests ~ 33 K).

So far so good, no problems there. You know the 'effective temperature'; how high the visible clouds are (50 km - 80 km. let's take the mid-point to be the 'effective surface' = 65 km); what the main gas in the thick atmosphere is and its specific heat capacity etc. You can then work out likely lapse rate (8.87 m/s2 ÷ 1,126 J/K/kg** = 7.8 K/km) and estimate the likely surface temperature by simply adding lapse rate x altitude (~ 7.8 K/km x ~ 65 km ≈ 500 K) to temperature of 'effective surface' (~ 230 K) ≈ 730 K. Bingo!

But the Consensus skips the basic physics, logic and maths and jumps to "It was the one thousand tonnes of CO2 wot dunnit!"

Q2. Why is this a Diagonal Comparison?

A2. Because they are not comparing like-with-like. They calculate the 'effective temperature' of the clouds and then compare it with the temperature of the hard surface. Of course the hard surface is a lot hotter - because it's much lower down than the clouds (which form the basis of our calculation of 'effective temperature') and there's a lapse rate (temperatures go up as you descend from the clouds). You might as well calculate how high our ball bearing will bounce if you drop it from 10 metres; then drop it from 5 metres anyway and be surprised that the observation does not match the prediction.

What if it turned out that Venus is actually a pale grey planet with only a thin layer of white clouds? Our calculation of the 'effective temperature' (based on what you see through a visible-light-telescope) is the same, but this doesn't need much adjustment for lapse rate x altitude to estimate the temperature at the hard surface.

Hey presto, Greenhouse Effect nearly vanished - like on Mars. Mars serves as a good counter-example. It has hardly any clouds, so the 'effective surface' for which 'effective temperature' (based on low albedo of soil = 0.25 i.e. dark red-grey) is calculated is pretty much at the hard surface. That is why there little apparent discrepancy between 'effective temperature' and hard surface temperature and using the Consensus approach, the Greenhouse Effect is only 6 K. The approach is deeply flawed anyway - see A4. below.

Q3. "Hah!" shouts the Consensus, "So you admit that if there were less CO2, the [hard] surface temperature would be lower? So we are correct - less CO2 => lower temperatures; more CO2 => higher temperatures. So CO2 must be a Greenhouse Gas!!"

A3. Sure, if we just remove a lot of the CO2, the temperature at the hard surface would be lower. The thicker the atmosphere, the greater the Greenhouse Effect and vice versa. But if we replaced the CO2 with the same amount of N2 or O2, the temperature of the hard surface would go up a bit (I think), because the specific heat capacity of those gases is lower than for CO2 so the lapse rate would be higher.

Also, saying "So you admit..." is pure polemic and of no relevance to a scientific discussion. And, if you want cheap shots, there is twenty-five times as much CO2 per m2 on Mars than there is on Earth but officially barely any Greenhouse Effect.

Q4. Isn't it a lazy and logically flawed short-cut to compare 'effective temperature' with hard surface temperature in order to estimate magnitude of the Greenhouse Effect anyway?

A4. Yes, good question and I'm glad you asked.

Let's imagine Venus had no clouds whatsoever, and let's assume that like on Earth, the surface temperature goes up 'a bit' as a result.

We then re-calculate 'effective temperature' based on an albedo of (say) 0.25 (dark) instead of 0.75 (nearly white), which means about three times as much solar radiation being absorbed and converted to kinetic energy (heat); which means the 'effective temperature' you calculate will be a lot higher. So the apparent discrepancy between 'effective temperature' and hard surface temperature will be approximately halved (I haven't done the exact number yet).

Does that mean that the very real Greenhouse Effect has halved (or whatever the exact number is)? Of course not - lack of clouds means the temperatures go up, so there's now slightly more Greenhouse Effect!

The reverse logic applies to Mars which has hardly any clouds and so no apparent Greenhouse Effect (using the flawed Consensus approach to calculating it). Nonetheless, Mars has a predicted lapse rate of about 5 K/km (3.71 m/s2 ÷ 736 J/K/kg - the measured value is half that, apparently). But if it did have a layer of clouds at 10 km altitude (I'm not sure if that's physically possible, but let me illustrate the point) it would have an albedo of 0.75 (like Venus); Mars would only absorb one-third as much solar radiation; and the 'effective temperature' we calculate would fall from 209 K to 159 K ((0.333 ^ 0.25) x 209 K).

So - using my method - we would estimate the hard surface temperature on cloudy Mars to be 158 K plus 10 km x 5 K/km = 209 K. This is a bit less than the measured hard surface temperature of 215 K, which makes sense as the clouds would cool it down a bit.

So now, even though the hard surface temperature of Mars has gone down 'a bit' (and the actual Greenhouse Effect has gone down 'a bit' as well), the apparent Greenhouse Effect would go up from 6 K to 50 K! Even though in reality, not much has changed, which means all these figures - 500 K for Venus, 33 K for Earth and 6 K for Mars are meaningless.

* "Poor Jones is dead and gone,
his face will be no more.
For what he thought was H2O
was H2SO4"


** Actually, this is a slightly circular calculation. You would start by assuming the highest layer below the clouds is ~ 230 K, and the specific heat capacity of CO2 at that temperature is lower (0.763 J/K/kg) so you would predict a higher lapse rate of 11 K/km; so you would have to work your way down, km by km and use a different lapse rate each time until you're down at the surface; then work back upwards again until it is all in balance.

Wednesday, 3 June 2020

T'was on the good ship Venus...

... we grappled with the maths
And then we knew that CO2 is
Not a 'greenhouse gas'


Many people over-egg the Venus pudding. From here:



Read it and weep: "Notice how steeply the temperature rises below the clouds, thanks to the planet's huge greenhouse effect."

Well, having looked into all this in reasonable depth over the past few weeks, I notice no such thing. "Steeply rising from the clouds down" is the same as "steeply falling from the ground up", which it clearly doesn't.

The chart shows a lapse rate of about 10 K/km up to 50 km altitude (although the true figure is a bit less than 8 K/km, see below), which is not much more than on Earth's average moist lapse rate actually measured, which is 6.5 K/km ('should be' nearly 10 K/km, but water and water vapour moderate it by one-third, there's little to no water vapour on Venus to moderate it there).

So let's apply the same basic physics to Venus' atmosphere as we did to Earth's and see if we can reconcile it all.

What would we expect the lapse rate to be? Remember, T/h = g/cp.
Gravity on Venus is 8.87m/s2
Specific heat capacity of CO2 at 700K = 1,126 J/kg/K
So lapse rate should be about 7.87 K/km.

Wiki provides more precise figures for the vertical temperature and pressure profile.
Temperature at 0 altitude = 735 K, at 60 km = 263K.
(735 - 263)/60 = 7.87 K/km
That's a good match! (It might seem like fudging to use specific heat capacity at hard-surface temperature, but that's the one you have to work out; it stays pretty constant above that until you are above 99% of the atmosphere).

The Barometric Formula also works pretty well:


Right, next questions
a) what is the 'effective temperature' of the surface of Venus
b) what is the 'surface'
c) what is the actual temperature at the 'surface'
d) what would we predict the temperature of the hard surface to be
e) does our prediction match the actual temperature of the hard surface

a) There is a nice table at the end of this article showing that the 'effective temperature' (expected temperature based on incoming sunlight and assuming no atmosphere but that albedo stays as it is) of Venus should be 232K.

b) What is the 'surface'? If we are looking at 'effective temperature', we should be looking at the 'effective surface' to match, which is whatever the sunlight hits first. Venus has thick clouds between 50 km and 80 km altitude, going by Wiki's more reliable figures. These clouds are very thick/white, which is why Venus has an albedo of 0.75 (0 = black, 1 = white). The 'effective temperature' is based on the albedo of those clouds and that's what the sun light hits first, so the 'effective surface' is the self-same clouds at (say) 70 km altitude.

c) And what is the actual temperature at 70 km altitude.? [Drumroll...] It's 230 K, so a very good match between actual and prediction.

d) With that as the starting point, we can predict the surface temperature, being
232 K 'effective temperature' at 'effective surface' (70 km altitude)
plus 10 km x 3.3 K/km (actual lapse rate between 60 km and 70 km)
plus 60 km x  7.87 K/km (predicted/actual lapse rate for altitudes below 60 km)
=  737 K.

e) [Drumroll...] The actual surface temperature is given as 735K [Cymbal]
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Some bonus comparisons while we've got the facts at our finger tips:

1. On Venus, at 50 km altitude, atmospheric pressure is 1.066 atm, in other words, similar to average Earth sea-level pressure; and the temperature is 348K.
Venus gets 662 W/m2 solar radiation, Earth gets 342 W/m2 radiation.

Given those facts and figures, what would we predict Earth's sea-level temperature to be?
348K ÷ ((662 W/m2 ÷ 342 W/ms)^0.25) = 295K.
Earth's average sea-level temperature is given as 288K, so we are in the ballpark.

2. On Venus, at 79 km altitude, atmospheric pressure is 0.006 atm, the same as the pressure at Mars' hard-surface level; and the temperature is 200K.

Mars' average hard-surface level temperature is 215 K. Mars and Venus both have atmospheres that are about 95% CO2, so the amount of CO2 above 80km altitude on Venus and above hard-surface level on Mars is going to be about the same. Venus' atmosphere at that altitude should be far warmer than Mars' hard surface temperature (Venus is a lot closer to the Sun) but we simply don't know why there is a discrepancy here.

3. Yes, you read that correctly, Mars' atmosphere is 95% CO2, but according to Wiki, "The average surface emission temperature of Mars is just 215 K, which is comparable to inland Antarctica. The weaker greenhouse effect in the Martian atmosphere (5 °C, versus 33 °C on Earth) can be explained by the low abundance of other greenhouse gases."

Hang about one cotton pickin' moment here, there isn't much by way of 'other greenhouse gases' on Venus either! What are these mysterious 'other greenhouse gases' anyway?

4. By mass, there is about twenty-five times as much CO2 per m2 of Mars surface than on earth.

Mars: 620 Pascal hard-surface pressure/3.77 m/s2 gravity = 164 kg, x 95% = 156 kg CO2/m2.

Earth: 101,325 Pa/9.807 m/s2 gravity = 10,332 kg, x 400 ppm = 4.13 kg, scaled up by 40/29 because CO2 is heavier than usual N2/O2 mix = 6.3 kg CO2/m2.

156 kg/6.3 kg = 25.

But there's barely any 'greenhouse effect' on Mars... because reasons?