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
Messages
47
Reaction score
0
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.
 
Physics news on Phys.org
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:
Hi there, im studying nanoscience at the university in Basel. Today I looked at the topic of intertial and non-inertial reference frames and the existence of fictitious forces. I understand that you call forces real in physics if they appear in interplay. Meaning that a force is real when there is the "actio" partner to the "reactio" partner. If this condition is not satisfied the force is not real. I also understand that if you specifically look at non-inertial reference frames you can...
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
Back
Top