Page 180 - Fundamentals of The Finite Element Method for Heat and Fluid Flow

TRANSIENT HEAT CONDUCTION ANALYSIS
172
−30°C
Insulated 4 mm
3 cm 8°C
Figure 6.19 A phase change problem

◦
Exercise 6.10.6 A phase change problem with an initial temperature of 10 C is imposed
with a cooling temperature of −30 C at the left face, and the right face is subjected to a liquid
◦
temperature of 8 C as shown in Figure 6.19. The solidus temperature is 0 C. Determine the
◦
◦
temperature distribution with respect to time if the latent heat of solidification is 65.0, ρc p =
1 and k = 1.0. Draw the temperature variation at a distance of unity from the left side.

Bibliography

Beck JV 1968 Surface heat flux determination using an integral method, Nuclear Engineering Design,
7, 170–178.
Carslaw HS and Jaeger JC 1959 Conduction of Heat in Solids, Second Edition, Oxford University
Press, Fairlawn, NJ.
Hirsch C 1988 Numerical Computation of Internal and External Flows, Vol. 1, Fundamentals of
Numerical Discretization, Wiley & Sons, Chichester.
Holman JP 1989 Heat Transfer, McGraw-Hill, Singapore.
Lewis RW, Morgan K, Thomas HR and Seetharamu KN 1996 Finite Element Methods in Heat
Transfer Analysis, John Wiley & Sons, Chichester.
Ozisik MN 1968 Boundary Value Problems of Heat Conduction, International Text Book Company,
Scranton, PA.