(JZS) Journal of Zankoy Sulaimani, 2009, 12(1) Part A     2009  12  1   A 97 Numerical Solution for Non-Stationary Heat Equation in Cooling of Computer Radiator System Aree A. Mhammad* , Faraidun K. Hama Salh**, and Najmadin W. Abdulrahman* * Department of Computer **Department of Mathematics College of Science, University of Sulaimani, Kurdistan Region, Iraq. Abstract 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) Introduction For cooling the semiconductor device of a computer system, there are various known techniques, such as thermal conduction or air-cooling, or the use of a heat pipe, or liquid cooling [1,2]. It is typical to use a heat sink with the central processing unit of a computer to increase the heat-dissipating surface area of the central processing unit for more effective cooling. The model used in this work is based on air cooling by non stationary heat equation in one dimension. Partial differential equation is a relation involving an unknown function of several independent variables and its partial derivatives with respect to those variables [3]. In recent years seeking exact solution of linear partial differential equation is of great significance as it appears that the LPDEs are mathematical models of complex physics phenomena arising in physics, mechanics and engineering. The simulation of the developed model is tested by using finite difference methods [1]. The advantages of this model are low computation, low complexity of the implemented algorithm and optimization of model efficiency. To analyze theoretically and numerically the relative importance of the cooling - radiator mechanism, one has to take in account the evolution low of LPDE. The condition that rends the problem in one dimension is the thinness of the radiator (T depend only on x). The typical stages of a numerical simulation [4] are illustrated in figure (1). Fig (1): General model diagram This paper is organized as follows. Section 2, we set in equations the proposed Physical phenomena (Observation and modelling) Mathematical model Evolution of LPDE Numerical analysis (Sampling of LPDE) Programming  Optimization  C++ program E-mail:karitma2003@yahoo.com (97-102)