Heating and cooling with different boundary conditions

1 Heating and cooling with different boundary conditions 

In addition 0 for x — oo has to be bounded. At the surface x = 0 different boundary conditions are possible. These are shown in Fig. 2.21  

For the calculation of the temperature distribution in all three cases we intro- 

We apply the Laplace transformation to these equations and obtain the ordinary differential equation already discussed in section 2.3.2 

As and therefore u must be bounded for x — oo the second exponential term exp(+px) in (2.114) disappears. 

---