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Thermal transpiration flows and heat transfer characteristics in microchannels are investigated for the performance optimization of a nanomembrane-based Knudsen compressor.A critical element that drives Knudsen compressor is the thermal transpiration membrane.The membranes are based on aerogel or machined aerogel.The aerogel is modeled as a single micro flow channel.The effects of the wall temperature distributions on the thermal transpiration flow patterns are examined.