What Is The Optimal Configuration For A Hybrid Micro-channel Heat Sink With A Wavy Fin Structure To Maximize The Heat Transfer Coefficient And Minimize Pressure Drop In A High-power Electronics Cooling System, Considering A Fluid With A Prandtl Number Of 5.5 And A Reynolds Number Range Of 500-1500?

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The optimal configuration for a hybrid micro-channel heat sink with a wavy fin structure, designed to maximize the heat transfer coefficient while minimizing pressure drop in a high-power electronics cooling system, involves the following key elements:

  1. Channel Dimensions:

    • Width and Depth: Optimal channel dimensions balance surface area and pressure drop. A width of approximately 200 micrometers and a depth of 500 micrometers are suggested, resulting in a hydraulic diameter of about 333 micrometers.
    • Aspect Ratio: The aspect ratio (width to depth) should be considered to influence flow and heat transfer effectively.

  2. Wavy Fin Geometry:

    • Amplitude: The wave amplitude should be 10-20% of the channel width (20-40 micrometers) to disrupt the boundary layer without causing excessive pressure drop.
    • Wavelength: The wavelength should be 1-2 times the channel width (200-400 micrometers) to allow flow recovery between waves, enhancing turbulence.

  3. Fin Parameters:

    • Thickness: Fins should be thin (around 50 micrometers) to maximize surface area without obstructing flow.

  4. Flow Configuration:

    • The design should ensure even flow distribution across the channels to maximize heat transfer while managing pressure drop.

  5. Manufacturing Considerations:

    • Advanced manufacturing techniques may be employed to create complex structures, but the focus remains on performance optimization.

  6. Design Balance:

    • The configuration should enhance turbulence sufficiently to improve heat transfer without significantly increasing pressure drop, leveraging the fluid's properties (Prandtl number 5.5) to enhance convection.

In summary, the optimal design involves carefully selected channel and fin dimensions, along with wavy parameters, to balance heat transfer enhancement and pressure drop, suitable for the given Reynolds and Prandtl number range.