The heat flux q is the quantity of heat flowing through a unit area of a material

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The heat flux q is the quantity of heat flowing through a unit area of a material per unit time. It can be computed with Fourier’s law,

dT J = dx


Where J has units of J/m2/s or W/m2 and k is a coefficient of thermal conductivity that parameterizes the heat-conducting properties of the material and has units of W/(°C ∙ m). T = temperature (°C); and x = distance (m) along the path of heat flow. Fourier’s law is used routinely by architectural engineers to determine heat flow through walls. The following temperatures are measured from the surface (x = 0) into a stone wall:

The heat flux q is the quantity of heat flowing


If the flux at x = 0 is 60 W/m2, compute k.

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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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