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This calculator determines heat dissipation and number of fins needed for efficient cooling using various materials and flow types. It compares different scenarios with detailed results and factors influencing heat transfer. Equations and results are provided for detailed analysis.
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Heat Sink Calculator Jed Goodell Jesse Williams
Introduction • Problem • How much heat does a particular heat sink dissipate • How many fins are needed to dissipate a specific amount of heat • Objective • To create a Heat Sink calculator that can: • Determine heat dissipation for a given number of fins • Determine number of fins for a given heat dissipation
Multiple Problems: • Solved problem in Excel • Compared with Output • Forced Convection • Laminar Flow • Aluminum, Copper, and Steel • Solve for Heat Dissipation • Solve for Number of Fins • Turbulent Flow • Aluminum, Copper, and Steel • Solve for Heat Dissipation • Solve for Number of Fins • Free Convection • Aluminum, Copper, and Steel • Solve for Heat Dissipation • Solve for Number of Fins
Test Problem • Inputs: • Type of flow: Laminar • Material: Aluminum • Base Thickness: 0.008 m • Fin Length = 0.01 m • Fin Width = 0.005 m • Fin Depth = 0.1 m • Base Temperature = 323 K • Air Temperature = 300 K • Wind Velocity = 3 m/s • Number of Fins = 17 / Needed Heat Dissipation = 30 W
Results When solving for Q • 30 W (7mm spacing) When solving for number of fins • 17 Fins For Free Convection • 19 W (19mm spacing) Calculator also Displays • Total Surface Area • Fin Efficiency • Overall Efficiency • Optimum Fin Spacing • Average Convective Coefficient
Calculator • http://students.cs.byu.edu/~jgoodell/heatsink.html
Conclusions • Material does not significantly affect the number of fins or heat dissipation. • Surface and air temperatures, air velocity, and number of fins significantly affect heat dissipation. • Surface and air temperatures, air velocity, and heat dissipation significantly affect the number of fins.
References • Fundamentals of Heat and Mass Transfer,Incropera et al. • Chapters 7 & 9 • Material/Air properties poly-fit from Appendix A • Title picture from Wikipedia, ‘Heat Sink’