Abstract

This research will focus on studying the effect of aperture size and shape of the micro-channel heat sink on heat dissipation performance for chip cooling. The micro-channel heat sink is considered to be a porous medium with fluid subject inter-facial convection. Derivation based on energy equation gives a set of governing partial differential equations describing the heat transfer through the micro-channels. Numerical simulation, including steady-state thermal analysis based on CFD software, is used to create a finite element solver to tackle the derived partial differential equations with properly defined boundary conditions related to temperature. After simulating three types of heat sinks with various protrusion designs including micro-channels fins, curly micro-channels fins, and Micro-pin fins, the result shows that the heat sink with the maximum contact area per unit volume will have the best heat dissipation performance, we will interpret the result by using the volume averaging theorem on the porous medium model of the heat sink.

Highlights

  • Driven by rapid development and performance boost of integrated circuit chips used in computers [3], the need for more efficient heat transfer performance has dramatically increased in recent decades

  • The result of this comparison is consistent with the analytical result based on the Non-local thermal equilibrium (NLTE) model, that is, for the heat sink made by a particular material, the heat dissipation performance can be improved by a better protrusion design, including the increase of the contact surface per unit volume and the reduction https://rajpub.com/index.php/jam

  • Based on the porous media model constructed by a mixture of fluid and solid phase, we derived the two-equation non-local thermal equilibrium model using the method of volume averaging; we analyzed the factors that affect heat dissipation performance from the energy equations

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Summary

Introduction

Driven by rapid development and performance boost of integrated circuit chips used in computers [3], the need for more efficient heat transfer performance has dramatically increased in recent decades. The heat conduction behavior of the entire porous medium depends mostly on the interaction between solid skeleton and fluid phase. The method of volume averaging is a technique to derive continuum equations for multi-phase systems, while the direct analysis of the process of fluid transport through the small pores is usually difficult, if not impossible, because of the complex structure of the porous medium. Experiments can provide measurements for only some specific quantities, at a limited time instance, and can often become complicated and expensive for some operating conditions In these circumstances, a theoretical model is usually used as a first estimate; numerical method or Computational Fluid Dynamics (CFD) simulation software, such as Ansys CFX, can give the insight to flow or heat transfer phenomena, provide a qualitative prediction before a physical model has been made. We will carry out experiments using CFD simulation to validate the analysis

Porous Medium Model
Volume Averaging Method
Discussion
Conclusion
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