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Gareth's avatar

There's no doubt that when Venus was formed, the planet and it's atmosphere were very hot due to it's compression and increased pressure caused by it's own gravity.

Venus' solar flux is fixed by the distance between the Sun and Venus via the inverse square law.

(I'm assuming variation in Solar emissive power and orbit are insignicant).

Incoming power I = S * πr^2

S is solar irradiance

πr^2 is area exposed to the sun

You describe outgoing radiation E = B x T^4. It's commonly written as:

W = ε σT^4, the Stefan Boltzman equation where:

ε is emissivity

σ is the Stefan Boltzman constant

W Power per square meter.

Total emitted power E = W * 4πr^2

4πr^2 is the surface area of a sphere

Net power:

P = I - E = S * πr^2 - ε σT^4 * 4πr^2

Once Venus was created, 4.5 billion years ago, E > I meaning more energy is emitted than radiated.

The result of this, as energy is lost, is that Venus and it's atmosphere cooled down.

The cooling process would continue until incoming and outging energies balance.

I = E

S * πr^2 = ε σT^4 * 4πr^2

(this is where πr^2 cancels out)

S = ε σT^4 * 4

T^4 = 1/4 * S / ε σ

Take the quartic roots on both sides and you get Venus' effectice temperature of -47C.

There is no way the heat from the creation of Venus 4.5 Billion years ago can explain the difference between the effective (-47C) and actual surface temperature of 464C).

The heat generated at the creation of Venus dissipated Billions of years ago.

So the answer to the question of what causes the excessive temperatures on Venus is not atmospheric pressure.

The obvious cause is the GHG effect.

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Gareth's avatar

There's no doubt that when Venus was formed, the planet and it's atmosphere were very hot due to it's compression and increased pressure caused by it's own gravity.

Venus' solar flux is fixed by the distance between the Sun and Venus via the inverse square law.

(I'm assuming variation in Solar emission power and orbit are insignicant).

Incoming power I = S * πr^2

S is solar irradiance

πr^2 is area exposed to the sun

You describe outgoing radiation E = B x T^4. It's commonly written as:

W = ε σT^4, the Stefan Boltzman equation where:

ε is emissivity

σ is the Stefan Boltzman constant

W Power per square meter.

Total emitted power E = W * 4πr^2

4πr^2 is the surface area of a sphere

Net power:

P = I - E = S * πr^2 - ε σT^4 * 4πr^2

Once Venus was created, 4.5 billion years ago, E > I meaning more energy is emitted than radiated.

The result of this, as energy is lost, is that Venus and it's atmosphere cooled down.

The cooling process would continue until incoming and outging energies balance.

I = E

S * πr^2 = ε σT^4 * 4πr^2

(this is where πr^2 cancels out)

S = ε σT^4 * 4

T^4 = 1/4 * S / ε σ

Take the quartic roots on both sides and you get Venus' effectice temperature of -47C.

There is no way the heat from the creation of Venus 4.5 Billion years ago can explain the difference between the effective (-47C) and actual surface temperature of 464C).

The heat generated at the creation of Venus dissipated Billions of years ago.

So the answer to the question of what causes the excessive temperatures on Venus is not atmospheric pressure.

The obvious cause is the GHG effect.

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