Numerical Solution for Non-Stationary Heat Equation in Cooling of Computer Radiator System

Aree A. Mhammad, Faraidun K. Hama Salh, & Najmadin W. Abdulrahman

College of Science, University of Sulaimani

In the paper a mathematical model is developed by using numerical solution to study the non stationary
heat equation in one dimension. This model leads to incorporate a cooling system for a computer radiator.
The result of the model is compared with the stationary heat transfer model. The simulation results show the
performance of non stationary model in terms of variation of temperature.

Keywords: Cooling System Finite Difference Modelling Simulation Non-Stationary Heat Equation
Dimensionless Linear Partial Differential Equation (LPDE)

1. Yunus, A., Heat Transfer: A Practical  Approach, MacGraw-Hill, 2nd Edition, , 2002. 
   ISBN -10: 0072458933 
2.Shah ,A. , Sammakia, B., and Srihari, H., A Numerical Study of the Thermal Performance of an Impingement Heat Sink-Fin Shape Optimization , IEEE On Thermal Phenomena, 2002, (02), 298-   306. 
3. Butcher, J., Numerical Methods for Ordinary Differential Equations, , 2003.Wiley, 2 Rev edition,ISBN –  10: 0471967580 
4. Salleh, S., Albert, Y., and Bakar, A., Computing for Numerical Methods using Visual C++, 2007.Wiley,ISBN -10: 0470127953,  
5. Saini,M., and Weeb,R., Heat Rejection Limits of Air Cooled Plane Fin Heat Sink  For Computer Cooling , IEEE Transactions on Components and Packaging Technologies, 2003 , 26 (1), 71- 79. 
6. Namba, K., Niekawa, J., and Kimura, Y., Heat-Pipes for Electronic and Evaluation of their Thermal Performance, IEEE Transactions on Components and Packaging Technologies, 2000, 23(1), 91-94.  
 7.Vladimir, G., and Yury, F., Low Noise Cooling System for PC on the base of loop heat pipes, Applied Thermal Engineering, 2007, 27, 894-901. 
8. Danaila,I. and Hecht,F., Simulation Numérique en C++,2003, Paris, ISBN 2-10-006975-6,. 9 .John H. Mathews and Kurtis D. Fink, Numerical method Using Matlab, Third Edition,1999,   United States of America, ISBN 0-13-270042-5,.