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Heat Exchanger with cooling fins

Explore the mathematical modeling of heat exchangers with fins for enhanced heat dissipation in industrial applications. The study validates the model, conducts parametric analysis of radiation and convection, and compares results using FEM and direct calculation methods.

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Heat Exchanger with cooling fins

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  1. Heat Exchanger with cooling fins Hyun Jae Kim EGEE 520, Mathematical Modeling

  2. Contents 1. Introduction of Heat Exchangerwith Fins 2.1. Governing Equation 2.2. Formulation 2.3. Solution 3. Validation of Model using 1-D calculation 4. Parametric Study of Radiation and Convection 5. Conclusion Company Logo

  3. Heat Exchangers ? Fin ? In this Study.. Commonly used in many fields of industry, which are composed of finned surfaces for dissipation of heat by convection and conduction. Used to increase the cooling area of system available for heat transfer between metal walls and condu- cting fluid such as gases and liquids. To calculate the conduction of cooling fins in heat exchangingcataly- tic reactor system with FEM and direct calculation of LDE and compare each other 1. Introduction Company Logo

  4. 8m 0.4m 1m 0.25m 2. 1. Governing Equation The heat transfer within the fin is governed by the stationary heat equation. On the external boundaries of the fin, heat convection term is added. On the external boundaries of the wall is also governed by above equation. Reactant Product Catalysts Company Logo

  5. ② ① ③ 2.2. Formulation Company Logo

  6. 2.3. Solution Company Logo

  7. 1) T is a function of x(fin length) alone 2) No heat lost from the end or from the edge 3) Heat flux at surface is Assumption , where h=constant, T=T(x) 4) Radiation is not concerned in validation. Boundary Condition (1) (2) By defining dimensionless variables, Boundary Condition (1) (2) 3. Validation 2B= 0.4m , , 1.0m L 0.25m Company Logo

  8. 4. Parametric Study Natural convection with radiation Forced convection with radiation Natural convection without radiation Forced convection without radiation Company Logo

  9. 1 2 3 Heat exchange with fins was examined and we can find convection term is important factor in calculation of surface temperature. Comparison between solution from FEMLAB and direct calculation of ODE indicates that the former might get the more exact estimated value than the latter which needs more assumptions Even though consideration of radiation is important in the natural convection system, it can be easily ignored when convection becomes significant term. 5. Conclusion Company Logo

  10. Thank You ! Click to edit company slogan .

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