What is Thermal conductivity: Definition and 185 Discussions

The thermal conductivity of a material is a measure of its ability to conduct heat. It is commonly denoted by



k


{\displaystyle k}
,



λ


{\displaystyle \lambda }
, or



κ


{\displaystyle \kappa }
.
Heat transfer occurs at a lower rate in materials of low thermal conductivity than in materials of high thermal conductivity. For instance, metals typically have high thermal conductivity and are very efficient at conducting heat, while the opposite is true for insulating materials like Styrofoam. Correspondingly, materials of high thermal conductivity are widely used in heat sink applications, and materials of low thermal conductivity are used as thermal insulation. The reciprocal of thermal conductivity is called thermal resistivity.
The defining equation for thermal conductivity is




q

=

k

T


{\displaystyle \mathbf {q} =-k\nabla T}
, where




q



{\displaystyle \mathbf {q} }
is the heat flux,



k


{\displaystyle k}
is the thermal conductivity, and




T


{\displaystyle \nabla T}
is the temperature gradient. This is known as Fourier's Law for heat conduction. Although commonly expressed as a scalar, the most general form of thermal conductivity is a second-rank tensor. However, the tensorial description only becomes necessary in materials which are anisotropic.

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  1. S

    Thermal conductivity problem

    Hello. As you can see, I'm new here. I have a little experience in physics and I've taken through Calc 2 in college. I'm trying to build a portable air conditioning unit. My current design consists of a tub of water with a 6" cube-shaped container of some kind submerged in it containing dry...
  2. L

    Thermal conductivity - doped silicon

    I 'trying to find the thermal conductivity of a silicon substrate doped with boron with known dopant concentration. Is there any way to calculate it or it has to be measured. Thanks in advance for any advice.
  3. F

    Rate of heat loss with two thermal conductivity values

    Strangely, this is for a Mat Sci Class. It is probably not as complicated as I am making it out to be, but the book has no suggestions on how to handle this problem. Homework Statement Calculate rate of heat loss through a fireclay refractory wall of wall with thickness .1m. Furnace...
  4. T

    How Long Does It Take for an Aluminum Plate to Reach Thermal Steady State?

    Forgive me if I am posting in the wrong place. I have a problem dealing with thermal conductivity. I have an aluminum plate, approx. 12 in/ long, and 1.5 in. x 4 in on the end which is being applied with 200 W. What I'm interested in is how long it will take before the plate reaches a...
  5. V

    Thermal conductivity for mountain climber

    Homework Statement A mountain climber wears a goose down jacket 3.28 cm thick with total surface area 1.10 m2. The temperature at the surface of the clothing is -19.3°C and at the skin is 36.0°C. Determine the rate of heat flow by conduction through the jacket assuming it is dry and the...
  6. Y

    How to Calculate Heat Flow Between Boiling Water and Ice-Water Mixture?

    Homework Statement A long rod, insulated to prevent heat loss along its sides, is in perfect thermal contact with boiling water (at atmospheric pressure) at one end and with an ice-water mixture at the other. The rod consists of a 1.00m section of copper (with one end in the boiling water)...
  7. R

    Basic Thermal Conductivity Question

    edit: not sure why this was moved to homework - it isn't. Hi :) I'm a bit embarrassed to ask this, but I hope someone can set me straight. As a second year university chem student I feel I should know this. In this question about thermal conductivity, I realize that it is a subject to itself...
  8. K

    Thermal Conductivity of an Infinite Thin Plate with a heater on it

    Homework Statement It's not a homework problem, but an engineering problem I try to solve before I delve into experimentation :smile: I have a source of heat (SSR - a solid state relay) that's well thermally coupled to the inside of a steel box. The thermal resistance between the SSR and the...
  9. N

    Thermal conductivity through a cylinder?

    Homework Statement A copper tube, of internal radius 6.959mm, overall radius 7.975mm, thickness 1.016mm, contains water at 68 deg Celsius, and is present in a room with an ambient temp of 26.65 deg Celsius. If the tube is 1000mm long, what will be the rate of heat transferred from the...
  10. P

    How Do You Calculate Ice Thickness in a Thermal Conductivity Problem?

    Homework Statement So, we have ice at a steady state, and above it is Air at -5.2 celcius, and below it is water at 3.98 C. The total depth of the ice and the water is 1.42m, and they want us to find the thickness of the ice. The thermal conductivies (k) of ice and water are 1.67 and 0.502...
  11. C

    Calculating Thermal Conductivity for Furnace & Lead Bath

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  12. B

    Thermal Conductivity: Umklapp Process & Sample Size

    Homework Statement The bulk phonon mean free path between phonon collisions for Umklapp process of a crystal is 30nm. If the crystal is of size 70nm, what is the effective mean free path that should be used in the equation for thermal conductivity? Homework Equations \kappa =...
  13. C

    Thermal Conductivity Conversion

    Is there a way to convert thermal conductivity to the diffusion coefficient? Or is there a way to use the thermal conductivity in Fick's Law?
  14. H

    What is the Thermal Conductivity of Cast Iron Across Different Temperatures?

    Hi all, I remember reading somewhere that Cast iron in general has a uniform thermal conductivity k of approx. 47-55, and this remains the same for a wide range of temperatures, im not sure if this is correct, if anyone has any information on this subject, that would be great, if i could...
  15. P

    Thermal conductivity chart. K

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  16. X

    What Determines the Thermal Conductivity of Gases?

    I need Info...! Homework Statement I need information on the thermal conductivity of gas . thank you so much . Homework Equations The Attempt at a Solution
  17. H

    What Does the Temperature Column Indicate in Thermal Conductivity Tables?

    In a thermal conductivity table, what does the temperature column represent in respect to the given coefficient "K" ? E.G http://www.engineeringtoolbox.com/thermal-conductivity-metals-d_858.html does it represent the heat capacity of the material?
  18. X

    Is thermal conductivity additive for multiple layers of different materials?

    I think the answer is yes, but I just wanted to check. If you have several sheets of different material, is the total thermal conductivity the sum of the individual thermal conductivities?
  19. I

    How Do You Measure Thermal Conductivity and Dimensions of a Boiling Tube?

    Uhmm.. i faced some problem with my experiment of finding the thermal conductivity of glass..i hope that someone can help me. May i know the extimation of the thermal conductivity of a boiling tube?? isit the same as the thermal conductivity of pyrex glass?? when i want to find the radius...
  20. D

    Thermal Conductivity for metals

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  21. A

    Two different thermal conductivity constants

    Homework Statement Solid cylindrical copper rod 0.2m long has one end maintained at temperature 20K, other end blackened and exposed to thermal radiation from surrounding walls at 500K. As the rod is insulated, no energy is lost or gained except at the ends of the rod. When equilibrium is...
  22. L

    K (thermal conductivity) value question.

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  23. W

    Thermal conductivity of metals

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  24. L

    Specific Heat / Thermal Conductivity

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  25. Pengwuino

    Metal alloys thermal conductivity

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  26. C

    Find thermal conductivity of metal in a rod

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  27. A

    Thermal conductivity: are liquids better thermal conductors?

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  28. C

    Thermal Conductivity Practical

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  29. 2

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  30. S

    Thermal conductivity of neoprene

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  31. T

    How do i measure thermal conductivity?

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  32. S

    Thermal Conductivity Units Conversion - Help Needed!

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  33. D

    Thermal conductivity twice that of brass

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  34. X

    Thermal conductivity of stainless steel

    Hi... there is a question i can't figure out. "A 400-g stainless steel tea kettle containing 500g of water is on top of the stove.The portion of the tea kettle that is in contact with the heating element has an area of 0.005m^2 and is 2.5mm thick. At a certain moment,the temperature of the...
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