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Encyclopedia > Cooling
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Heat flow along perfectly insulated wire

Conduction is the transfer of heat or electric current from one substance to another by direct contact. For more information about the electrical sense, see current (electricity) and electrical conduction. Heat (abbreviated Q, also called heat change) is the transfer of thermal energy between two bodies which are at different temperatures. ... In electricity, current is the rate of flow of charges, usually through a metal wire or some other electrical conductor. ... Electrical conduction is the movement of a materials charged particles to form an electric current in response to an electric field. ...


In the case of heat, the transfer is always from a higher temperature to a lower temperature. Denser substances are usually better conductors; metals are excellent conductors. Temperature is the physical property of a system which underlies the common notions of hot and cold; the material with the higher temperature is said to be hotter. ... Density (symbol: ρ - Greek: rho) is a measure of mass per unit of volume. ... For alternative meanings see metal (disambiguation). ...


The law of heat conduction also know as Fourier's law states that the time rate of heat flow Q through a slab (or a portion of a perfectly insulated wire, as shown in the figure) is proportional to the gradient of temperature difference: This article is in the process of being merged into Heat, and may be outdated. ... The word proportionality may have one of a number of meanings: In mathematics, proportionality is a mathematical relation between two quantities. ... In vector calculus, the gradient of a scalar field is a vector field which points in the direction of the greatest rate of change of the scalar field, and whose magnitude is the greatest rate of change. ...

A is the transversal surface area, Δ x is the thickness of the body of matter through which the heat is passing, K is a conductivity constant dependent on the nature of the material and its temperature, and ΔT is the temperature difference through which the heat is being transferred. This law forms the basis for the derivation of the heat equation. The heat equation or diffusion equation is an important partial differential equation which describes the variation of temperature in a given region over time. ...


Conductance

Writing

Fourier's law can also be stated as:

where U is the conductance. The reciprocal of conductance is resistance, equal to ' Conductance can refer to: Electrical conductance, the reciprocal of electrical resistance. ...

and it is resistance which is additive when several conducting layers lie between the hot and cool regions, because A and Q are the same for all layers. In a multilayer partition, the total conductance is related to the conductance of its layers by:

So, when dealing with a multilayer partition, the following formula is usually used:

When heat is being conducted from one fluid to another through a barrier, it is sometimes important to consider the conductance of the thin film of fluid which remains stationary next to the barrier. This thin film of fluid is difficult to quantify, its characteristics depending upon complex conditions of turbulence and viscosity, but when dealing with thin high-conductance barriers it can sometimes be quite significant. Film refers to the celluloid media on which movies are printed Film — also called movies, the cinema, the silver screen, moving pictures, photoplays, picture shows, flicks, or motion pictures, — is a field that encompasses motion pictures as an art form or as part of the entertainment industry. ... Turbulent flow around an obstacle; the flow further away is laminar Laminar and turbulent water flow over the hull of a submarine Turbulence creating a vortex on an airplane wing In fluid dynamics, turbulence or turbulent flow is a flow regime characterized by low-momentum diffusion, high momentum convection, and... Viscosity is a measure of the resistance of a fluid to deformation under shear stress. ...


Newton's law of cooling

A related principle, Newton's law of cooling, states that the rate of heat loss of a body is proportional to the difference in temperatures between the body and its surroundings. This form of heat loss principle, however, is not very precise; a more accurate formulation requires an analysis of heat flow based on the heat equation in an inhomogeneous medium. The general applicability of this simplification is characterized by the Biot number. The Biot number (Bi) is a dimensionless number used in unsteady-state and heat transfer calculations. ...


Nevertheless, it is easy to derive from this principle the exponential decay of temperature of a body. If T is the temperature of the body, then A quantity is said to be subject to exponential decay if it decreases at a rate proportional to its value. ...

where r is some positive constant. From which, it follows that

For example, simplified climate models may use Newtonian cooling instead of a full (and computationally expensive) radiation code to maintain atmospheric temperatures. Climate models use quantitative methods to simulate the interactions of the atmosphere, oceans, land surface, and ice. ...


See also


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