...The amount of heat received by a unit volume at x per unit time is div Q = -div(κ∇θ), and the resulting temperature change over time, ∂θ/∂ t , is given by ∂θ/∂ t = -(1/ρ c )div(κ∇θ), where c is the specific heat and ρ is the density. This is the basic equation for heat conduction, and when κ does not depend on the location, a = κ/ρ c , and the equation takes the form of a diffusion equation, ∂θ/∂ t = a ∇ 2 θ ( a is called the thermal conductivity or thermal diffusivity). The theory of heat conduction was created by J. Fourier in 1822. ... *Some of the terminology that refers to "thermal conductivity" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…これからxにある単位体積の部分が単位時間に受けとる熱量は, divQ=-div(κ∇θ)となり,これによる温度の時間変化∂θ/∂tは,比熱をc,密度をρとすると, ∂θ/∂t=-(1/ρc)div(κ∇θ)で与えられる。これが熱伝導の基礎方程式であり,κが場所によらないときにはa=κ/ρcとして, ∂θ/∂t=a∇2θという拡散方程式の形になる(aを温度伝導度,または熱拡散率という)。熱伝導の理論は1822年にJ.フーリエによって作られた。… ※「温度伝導度」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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