Crib Sheet
Nomenclature
a = constant in equation (5.1) (1 / K) a = inner radius of cylinder (m) b = outer radius of cylinder (m) Amean = area of a circular cylinder of unit length and mean radius r = (a + b) / 2 Cr = cylindrical surface of radius r (a < r < b) grad T = T = temperature gradient vector (K / m) k = thermal conductivity (W / mK) ko = thermal conductivity at T = To K = parameter representing dimensionless thermal conductivity = (Homework Problem 5.5) Kr = parameter representing dimensionless thermal conductivity. = (Homework Problem 6.5) L = length of slab (m) p = (mK) q = scalar heat flux (W / m2) = = heat flux vector (W / m2) Q = rate of heat flow (W) R = dimensionless length = (Homework Problem 6.5) T = temperature (K) To, TL, Ta, Tb = specified boundary temperatures (K) = constant in equation (6.1) = dimensionless temperature = (T - To) / (TL - To) (Homework Problem 5.5) = dimensionless temperature = (T(r) - Tb) / (Ta - Tb) (Homework Problem 6.5) = dimensionless length, x / L (Homework Problem 5.5)
Equations
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