List of Symbols.
a | geometrical dimension, [m] |
A | geometrical dimension, [m] |
b | geometrical dimension, [m] |
B | Biot number, usually hL/k. |
c_{p} | specific heat, [J/kg/K] |
ds_{i} | differential area element on surface S_{i}, [m^{2}] |
differential volume element, [m^{3}] | |
erf (z) | error function, |
f | boundary function, units [K] for type 1 boundary, otherwise units [W/m^{2}] |
F(r) | initial temperature distribution, [K] |
g | volume energy generation, |
G | Green's function |
h | heat transfer coefficient, [W/m^{2}/K] |
H(t) | Heaviside unit step function |
i,j | indices |
J | Joule, unit of energy |
k | thermal conductivity [W/m/K] |
kg | kilogram, unit of mass |
K | Kelvin, unit of absolute temperature |
L | geometrical dimension, sometimes body thickness, [m] |
m | fin effect parameter, [m^{-1}]; also meter, unit of length |
n_{i} | outward unit normal vector on surface S_{i} |
P | propagator, function related to the GF |
q | heat flux, [W/m^{2}] |
r | radial coordinate, [m] |
position vector, [m] | |
R | numbering system designation for radial cylindrical coordinate |
RS | numbering system designation for radial spherical coordinate |
S_{i} | body surface |
sec | second, unit of time |
t | time, [sec] |
T | temperature, [K] |
x,y,z | Cartesian coordinates |
X, Y, Z | numbering system designations for Cartesian coordinates |
W | Watt, a unit of power, equal to one Joule per second. |
Greek symbols
thermal diffusivity | |
eigen value | |
Dirac delta function | |
Laplacian, spatial derivative in Heat equation | |
small parameter | |
density [kg/m^{3}] | |
time at which the heat pulse is released, [sec] | |
azimuthal angle, cylindrical and spherical coordinates | |
polar angle, spherical coordinates |