Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Curves and surfaces in computer aided geometric design
Curves and surfaces in computer aided geometric design
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A synthetic jet is considered to control microflows, where the Knudsen number is between 0.001 and 0.1. The flow is modelled with the compressible, 2D Navier-Stokes equations. The wall boundary conditions are modified for the slip velocity and the temperature jump encountered for this Knudsen number range. The membrane motion is modelled as a moving boundary. After a validation using experimental results available only for a macroflow over a hump, the present study focuses on developing a design optimisation methodology for micro-synthetic jets in micro-scale, laminar crossflow. First, single-variable optimisations are performed. As compared to the baseline case, the optimisations yield 2, 15, 15 and 200% increase in actuation efficiency for the cases varying the orifice width, the orifice height, the cavity height and the frequency, respectively. Then, multi-variable shape optimisation is performed. Compared to the baseline case, the optimisation using shape parameters results in a 7-fold increase in the actuation efficiency, while the optimisation with Bezier polynomials results in more than a 10-fold increase.