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heat equation |
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heat equation [′hēt i‚kwā·zhən] (thermodynamics) A parabolic second-order differential equation for the temperature of a substance in a region where no heat source exists: ∂t/∂τ = (k/ρc)(∂2t/∂x2+ ∂2t/∂y2+ ∂t2/∂z2), wherex, y,andzare space coordinates, τ is the time,t(x,y,z,τ) is the temperature,kis the thermal conductivity of the body, ρ is its density, andcis its specific heat; this equation is fundamental to the study of heat flow in bodies. Also known as Fourier heat equation; heat flow equation. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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