Notation

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