A total of 10 rectangular aluminum fins (k = 203 W/m·K) are placed on the outside flat surface of an electronic device. Each fin is 100 mm wide, 20 mm high and 4 mm thick. The fins are located parallel to each other at a center-to-center distance of 8 mm. The temperature at the outside surface of the electronic device is 60°C. The air is at 20°C, and the heat transfer coefficient is 100 W/m2 ·K. Determine (a) the rate of heat loss from the electronic device to the surrounding air and (b) the fin effectiveness.
Development of a reservoir simulator for different types of reservoir-well systems and recovery processes requires a substantial background in mathematics and applied science, which starts with establishing the finite difference equations of a mathematical model for fluid flow in a certain type of reservoir-well system, then followed by numerical modeling and computer programming, and generates simulation software
The principles and procedures of the finite difference method are first discussed for the system of a single-phase slightly compressible fluid based on the theoretical basis of the Taylor series. For the system of a single-phase compressible fluid, the finite difference equations are built on the individual grid blocks rather than discretization of the diffusivity equation,
The heterogeneity of reservoirs, irregular size of grid blocks, and non-linearity of equations caused by pressure-dependent properties are considered in the finite difference equations.
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