Crib Sheet
Nomenclature
h = convective heat transfer coefficient, w / m2 K H = rate of heat flow, w I = electric current, amps k = thermal conductivity of solid, w / mK kf = thermal conductivity of liquid, w / mK L = length of rod, m = outward drawn normal to a surface q = heat flux, w / m2 q = -k ( dT /dz ) = heat flux, w / m2 Q = net outflow of heat, w Qgen = volumetric rate of heat generation, w / m3 r = radial length variable, m R = radius of rod, m S = surface area, m2 T = temperature, K V = volume, m3 w = fin width, m x or z = length variable, m Greek Symbols
= vector differential operator = dimensionless length, z / = dimensionless temperature (various definitions = kinematic fluid velocity, m/s = electrical resistivity of solid, ohms m
Equations
T0 = c2 sinh (L-z) = sinh L cosh z - cosh L sinh z
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