The 1-D Heat Equation 18.303 Linear Partial Differential Equations
نویسنده
چکیده
Rate of heat transfer ∂u = (1) −K0 area ∂x where K0 is the thermal conductivity, units [K0] = MLT U . In other words, heat is transferred from areas of high temp to low temp. 3. Conservation of energy. Consider a uniform rod of length l with non-uniform temperature lying on the x-axis from x = 0 to x = l. By uniform rod, we mean the density ρ, specific heat c, thermal conductivity K0, cross-sectional area A are ALL constant. Assume the sides
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Solutions to Problems for The 1-D Heat Equation 18.303 Linear Partial Differential Equations
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