Gas-flow animation by unsteady heating in a microchannel
Author(s)Hadjiconstantinou, Nicolas; Manela, A.
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We study the flow-field generated in a one-dimensional wall-bounded gas layer due to an arbitrary small-amplitude time variation in the temperature of its boundaries. Using the Fourier transform technique, analytical results are obtained for the slip-flow/Navier–Stokes limit. These results are complemented by low-variance simulations of the Boltzmann equation, which are useful for establishing the limits of the slip-flow description, as well as for bridging the gap between the slip-flow analysis and previously developed free-molecular analytical predictions. Results are presented for both periodic (sinusoidal) and nonperiodic (step-jump) heating profiles. Our slip-flow solution is used to elucidate a singular limit reported in the literature for oscillatory heating of a dynamically incompressible fluid.
DepartmentMassachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Mechanical Engineering
Physics of Fluids
American Institute of Physics (AIP)
Manela, A., and N. G. Hadjiconstantinou. “Gas-flow Animation by Unsteady Heating in a Microchannel.” Physics of Fluids 22.6 (2010): 062001. ©2010 American Institute of Physics
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