Newton's Law of Cooling constant k

AI Thread Summary
In Newton's Law of Cooling, the constant k represents the heat transfer coefficient, typically expressed in units of W/(m²·K). This constant is crucial for understanding heat transfer between objects and their environment. The law can also apply to a cold object being heated in a warmer environment, as it describes the rate of temperature change relative to the surrounding temperature. Calculating k theoretically can be complex, often requiring fluid dynamics equations or empirical correlations involving Reynolds, Prandtl, and Nusselt numbers. For practical applications, it's recommended to refer to established resources for detailed explanations and calculations.
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)
 
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