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Approximate Calculation and Parameters Optimization for Micro-scale Flow Field in Spiral Grooved Gas Seals
Ding Xuexing,Chen Delin,Zhang Weizheng,Yu Shurong,Du Zhaonian
(College of  Petrochemical  Engineering，Lanzhou University of Technology，730050，Lanzhou, China)

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Abstract:  PH linearization method is employed to solve a nonlinear Reynolds equation for a steady-state and micro-scale flow field, and the approximate function expressions of gas dynamic pressure and velocity in the spiral groove are obtained. A trade-off function of rigidity-to-spillage ratio is derived and the optimized geometric parameters are acquired by solving the objective function.
Keywords: spiral groove, gas seals, micro-scale flow, PH linearization, iterative method, trade-off optimization.