A level set-based topology optimization method for optimal manifold designs with flow uniformity in plate-type microchannel rea
A level set-based topology optimization method for optimal manifold designs with flow uniformity in plate-type microchannel reactors
Seiji Kubo, Kentaro Yaji, Takayuki Yamada, Kazuhiro Izui, Shinji Nishiwaki
Structural and Multidisciplinary Optimization, 2017, 55(4), 1311-1327.
topology optimization, level set method, flow uniformity, flow rate inequality constraint, manifold shape
This paper proposes an optimal design method for plate-type microchannel reactor manifolds, using a level set-based topology optimization method that targets flow uniformity among the microchannels. For plate-type microchannel reactors, manifold designs must consider both the uniformity of flow among the microchannels and minimization of pressure drop in the device. To address these design requirements, the pressure drop in the device is defined as the objective functional to be minimized under a flow rate inequality constraint, defined as the deviation in flow rate among the microchannels during the optimization. In addition, we propose a comparably simple and stable augmented Lagrangian method using an exponential function, to determine the Lagrange multiplier that acts to satisfy the flow rate inequality constraint. To demonstrate the utility of our proposed method, two-dimensional Z-type and U-type manifold design problems are presented in the numerical examples.