Gas flow through arrays of rectangular nanofins is modeled using the linearized free-molecular drag and heat transfer equations. These are combined with the one-dimensional equations for conservation of mass, momentum, and energy, and the ideal gas law, to find the governing equations for flow through the array. The results show that the pressure gradient, temperature, and local velocity of the gas are governed by coupled ordinary differential equations. The system of equations is solved for representative arrays of nanofins to find the total heat transfer and pressure drop across a 1 cm chip.
Heat Transfer and Pressure Drop Through Nano-Fin Arrays in the Free-Molecular Flow Regime
Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received June 16, 2012; final manuscript received January 5, 2013; published online July 26, 2013. Assoc. Editor: Zhuomin Zhang.
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Martin, M. J. (July 26, 2013). "Heat Transfer and Pressure Drop Through Nano-Fin Arrays in the Free-Molecular Flow Regime." ASME. J. Heat Transfer. September 2013; 135(9): 091601. https://doi.org/10.1115/1.4024462
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