International Journal of Numerical Methods for Heat & Fluid Flow · 2005 · 189 citations · 11 references
EngineeringMechanical EngineeringComputational Fluid DynamicsComputational Heat TransferFluid DynamicsHeat FlowHeat Transfer AnalysisHeat Transfer In FluidsHeat Transfer ModelingMicrofluidic SystemsThermal DesignChannelsConvective Heat TransferHeat SinksHeat Transfer In ChannelsMicrochannel DesignMicrochannel FlowMicrochannel Heat TransferThermal Resistance
The study develops closed‑form analytical models of increasing complexity to analyze convective heat transfer in microchannels and facilitate design optimization of microchannel heat sinks. A detailed CFD baseline is compared with five approximate analytical approaches—1D resistance, fin, two fin‑liquid coupled, and porous medium models—along with a modified thermal boundary condition. The models provide sufficiently accurate predictions for practical designs and offer straightforward, useful design methodologies for minimizing thermal resistance. The analysis is limited to a single microchannel; practical optimization must account for parallel channels, inlet/outlet headers, and may use pumping power as a design constraint.
Purpose To provide modeling approaches of increasing levels of complexity for the analysis of convective heat transfer in microchannels which offer adequate descriptions of the thermal performance, while allowing easier manipulation of microchannel geometries for the purpose of design optimization of microchannel heat sinks. Design/methodology/approach A detailed computational fluid dynamics model is first used to obtain baseline results against which five approximate analytical approaches are compared. These approaches include a 1D resistance model, a fin approach, two fin‐liquid coupled models, and a porous medium approach. A modified thermal boundary condition is proposed to correctly characterize the heat flux distribution. Findings The results obtained demonstrate that the models developed offer sufficiently accurate predictions for practical designs, while at the same time being quite straightforward to use. Research limitations/implications The analysis is based on a single microchannel, while in a practical microchannel heat sink, multiple channels are employed in parallel. Therefore, the optimization should take into account the impact of inlet/outlet headers. Also, a prescribed pumping power may be used as the design constraint, instead of pressure head. Practical implications Very useful design methodologies for practical design of microchannel heat sinks. Originality/value Closed‐form solutions from five analytical models are derived in a format that can be easily implemented in optimization procedures for minimizing the thermal resistance of microchannel heat sinks.
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