Newtons law of cooling vs conduction equation in solids

AI Thread Summary
Newton's law of cooling can be applied to solids, although it is primarily used for heat transfer from solids to fluids. The conduction equation is specifically designed for heat transfer within solids. While Newton's law is less effective for liquids and gases due to additional factors like evaporation and convection, it still holds relevance in fluid-to-fluid heat transfer scenarios, such as hot water to ambient air. The relationship between temperature difference and heat transfer rate connects both equations, highlighting their interdependence. Understanding these principles is essential for analyzing heat transfer in various contexts.
kundukoustav
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I know that Newtons law of cooling is useful when a solid is transferring heat to a fluid. And conduction equation is used in solids.
My question is: 1) Can Newtons law of cooling be applied in case of solids (apart from Heat conduction equation)? 2) Can Newtons law of cooling be applied in case of fluid to fluid heat transfer (like, for example, hot water to ambient air)?
Thanks in advance!
 
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The two equations are not really completely separate equations.

Both can be applied to solids, and less effectively to liquids and gasses because there are other possible significant effects like evaporation/condensation and convection in play.

Newton's law does not directly deal with heat transfer (heat and temperature are not the same thing) however the rate of heat transfer is proportional to the temperature difference and the rate of cooling is often proportional to the rate of heat transfer so the equations are linked.
 

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