Newton's Law of Cooling constant k

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SUMMARY

Newton's Law of Cooling describes the rate at which an object cools or heats in relation to its surrounding temperature, represented by the equation q=h*(T-Ts), where h is the convective heat transfer coefficient measured in W/(m²·K). The constant k in this context is related to the convective coefficient and can be derived from fluid mechanics principles, specifically through correlations involving Reynolds, Prandtl, and Nusselt numbers. The law can also apply to heating a cold object in a warmer environment, demonstrating its versatility in thermal dynamics.

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maccaman
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In Newton's Law of Cooling, we have the constant k, i was just wondering (most people will prolly laugh at me) what the constant k represents, and what units this constant would have.

Also, can the law describe a cold object being heated up in a warmer environment.

Any help would be greatly appreciated, thanks.
 
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You should typewrite your equation us to be sure. I guess you want to say:

q=h*(T-Ts) (Newton Law of cooling);

where h (k yours) is the convective coefficient in W/(m^2)K

Well, I wish you will never need to calculate h theoretically. It is used when it exists a heat transferring due to fluids movement or fluid to solid boundary movement. It could be calculated in two ways:

i) solving Navier Stokes equation for the fluid motion. (it would be dangerous for your health).

ii) using heavies correlations involving the Fluid Mechanics Numbers (Reynolds, Prandtl, Nusselt, etc).
 
dy/dx = k(y - C)
 
Last edited:

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