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The Ocean Physics Behind Net Zero

Gresham College Lectures

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How to Do Coupled Differential Equations With Fluid in Pipes

This is a nice example of how you can do coupled differential equations with fluid in pipes. For this model to be truly realistic the length of this pipe would have to somehow adjust to the pressure difference between these two tubes and we couldn't work out how to do that okay so um but if you you can maths to the rescue you can actually rearrange this and discover that it satisfies the same equations anyway. The slow adjustment term because result as the world warms and heads back to equilibrium the pattern of warming changes which changes the efficiency with which the planet gets sheds energy back into space. And finally there's one more term which is just an important one that i sort of add for completeness,

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