ABSTRACT
Semiinfinite Solid ........................................................ 189 4.4.1 Instantaneous Temperature
Change at Surface ............................................ 189 4.4.2 Constant Radiation Flux.................................. 192 4.4.3 Surface Heating by Convection ....................... 192 4.4.4 The Late Regime .............................................. 194
4.5 Transient Conduction-Finite Differences Method ..................................................... 199
4.6 Application of the Finite Difference Method to a Multilayered Wall ................................................ 205
4.7 Concentrated Heat Sources ........................................ 211 4.7.1 Instantaneous Point Source............................. 212 4.7.2 Continuous Sources .......................................... 213
4.8 Transient Conduction Graphical Method
Schmidt’s Method
..................................................... 219
4.1 INTRODUCTION
In this mode of conduction heating the temperature of a body varies with both time and the coordinates. Basically there are three variables to deal with. They are time (
τ
), temperature (
t
), and the coordinates of the point (
x
,
y
,
z
) in the body. The differential equation connecting time, temperature,
and coordinates is
(4.1)
A large number of physical properties of the body are involved in the heat transfer. In addition, certain properties of the surrounding medium also take part in the heating of the body.
