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2021mathorcupc topic optimal design of heat dissipation for submarine data center

2022-06-25 09:26:00 Building block mathematical modeling

How to evaluate mathorcupC Heat dissipation optimization design of Seabed Data Center ?

2021MathorcupC topic Heat dissipation optimization design of submarine data center

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Don't talk much . First question A heat conduction problem with heat source term .

① First of all , Because given the exothermic watt ( Joules / second ) Is a constant that does not change with time . Good to consider ,

② second , Because the length of this chassis is 12 rice , And the diameter is only 1 rice , Directly reduced to one dimension ( A two-dimensional ) Heat transfer equation ,( Don't bully me , With your strength , Just a few days. , Three dimensions are not solvable , If you don't believe it, try )

therefore , First, make the curve of the central temperature of the chassis changing with time , Reanalyze the heat source ( This heat source is a constant , Don't put it in the equation , Of course, you can put it in ~)

 

③ Third , Consider a steady state , Is to keep 80 Chassis temperature balance of degrees , So let's assume that the initial temperature is 80 degree , Let's first look at the cooling of the chassis .

As you can see, over time Temperature by 80 The degree gradually drops to 20 degree ....

This drawing code Three functions ,100 Multiple lines .

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