Design and Optimization of Thermal Systems Episode 2 Part 4 doc

Numerical Modeling and Simulation 297

may be coupled with the modeling of fluid flow adjacent to the rod and

other parts of the system to complete the model of a given system.

4.43. Consider heat conduction in a two-dimensional, rectangular region of

length 0.3 m and width 0.1 m. The dimension in the direction normal

to this region may be taken as large. The dimensionless temperature

is given as 1.0 at one of the longer sides and as 0.0 at the others. Solve

the governing Laplace equation by the SOR method and determine

the optimum relaxation factor. Discuss how, in actual practice, such a

simulation may be linked with those for other parts of the system.

4.44. Consider the fan and duct system given in Example 4.7. Vary the zero￾flow pressure, given as 80 in the problem, and the zero-pressure flow

rate, given as 15 here, by o20%. Discuss the results obtained. Are they

consistent with the physical nature of the problem as represented by the

equations?

4.45. Show the information-flow diagram for Problem 4.18. Also, draw the

information-flow diagram for the simulation of Problem 4.35. Do not

solve the equations; just explain what approach you will use.