Conduction of heat in the unsteady state.

more... Wall of Infinite thickness Heated on side, Wall of Finite Thickness Heated on Both Sides

Finite Body Contact Resistance

Ts surface temperature, deg F
To initial temperature of material, deg F
θ time, hr
α thermal diffusivity of material, ft2 per hr
ρ density of material, lb per ft3
c specific heat of material, BTU per lb per deg F
k thermal conductivity of material, BTU per hr per ft per deg F
x distance below the surface, in
L slab thickness, diameter of the cylinder or sphere, in
h heat-transfer coefficient, BTU per hr per ft2 per deg F
erf error function of χ
f2 Y from Figure 18-9 Kern
f3 Y from Figure 18-10 Kern
f4 Y from Figure 18-11 Kern
Y Ordinate from Figure 18-12, 18-13 or 18-14
Caseinfinite thickness heated one side finite thickness heated both sides finite thickness heated by fluid with contact resistance finite and semifinite shapes heated by fluid with contact resistance Shaperectangular body cylinderical body spherical body