Newton's Cooling Law: q = h*a \Delta T

In summary, Newton's cooling law states that the rate of energy loss of a body, represented by q, is equal to the product of the heat transfer coefficient, h, and the surface area, a, of the body, multiplied by the difference in temperature, \Delta T. This can be measured in any consistent units, such as watts or joules per second. The differential form of the law, \partial{Q}/\partial{t} = -k{\oint}\nabla{T}\vec{dS}, shows the amount of heat transferred per time unit, and it is important to note that this is measured in joules, not watts. Additionally, there may be a minus sign missing in the equation. Finally
  • #1
Ry122
565
2
For Newton's cooling law
[tex]
q = h*a \Delta T
[/tex]

q is the rate of energy loss of a body but for what unit time?
For example if q = 3 does the body lose 3 watts of energy in 1 second?
 
Physics news on Phys.org
  • #2
Whatever units you want as long as you are consistent (i.e mixing imperial and SI is a bad idea).
So yes, assuming you are using SI for the constant and the variables the time will be in seconds.
 
  • #3
The differential form is more general
[tex] \partial{Q}/\partial{t} = -k{\oint}\nabla{T}\vec{dS} [/tex]

[tex] \partial{Q}/\partial{t}[/tex] is the amount of heat transferred per time unit as long as you are using SI. [W] or [J*s^-1]. So it's J that are transferred in one second not W
And you have a minus missing

I may be wrong, feel free to correct me
 
Last edited:
  • #4
Newton's law of cooling: If you put milk in your coffee then leave it for a minute it will be warmer than if you leave it for a minute then add milk.
 
  • #5
That's an efficient way of applying the Newton's law of cooling :)
 

Related to Newton's Cooling Law: q = h*a \Delta T

What is Newton's Cooling Law?

Newton's Cooling Law is a mathematical equation that describes the rate at which an object cools down when it is in contact with a cooler medium. It states that the rate of heat loss, represented by q, is equal to the product of the heat transfer coefficient, h, the surface area, a, and the temperature difference, ΔT.

Who is Newton and how did he come up with this law?

Sir Isaac Newton was a renowned physicist and mathematician who is credited with discovering the laws of motion and universal gravitation. He also made significant contributions to the field of thermodynamics, including the development of Newton's Cooling Law. He came up with this law while studying the cooling of hot objects in contact with a cooler medium.

What are some real-world applications of Newton's Cooling Law?

Newton's Cooling Law has many practical applications in everyday life. For example, it is used to determine the rate at which food and beverages cool down in a refrigerator, the rate of heat loss from a building, and the rate at which engines and machinery cool down after use.

How is Newton's Cooling Law related to the second law of thermodynamics?

The second law of thermodynamics states that heat will always flow from a hotter object to a cooler one. Newton's Cooling Law helps to quantify this process by providing a mathematical equation that describes the rate of heat loss. It is also in line with the concept of entropy, which states that the disorder of a system will always increase over time.

Are there any limitations to Newton's Cooling Law?

While Newton's Cooling Law is a useful tool for predicting the rate of heat loss in certain situations, it does have some limitations. It assumes that the temperature difference between the object and the medium remains constant, which is not always the case. It also does not take into account factors such as convection and radiation, which can also affect the rate of heat loss.

Similar threads

Replies
35
Views
3K
Replies
4
Views
2K
Replies
0
Views
1K
  • Mechanics
Replies
15
Views
1K
Replies
25
Views
1K
Replies
3
Views
2K
Replies
27
Views
1K
Replies
3
Views
825
Replies
7
Views
1K
Back
Top