A New Boundary Layer Equation and its Application to the Flow in Turbo-Machinery

作者：Li Kaitai^*; Chen Hao; Zhang Yin; Wang Shangjin

来源：Numerical Methods for Partial Differential Equations, 2014, 30(5): 1455-1483.

DOI：10.1002/num.21844

• boundary layer equation
• Navier-Stokes equations
• normal stress tensor
• semi-geodesic coordinate system
• two-dimensional manifold

In this article, a new boundary layer equation (BLE) in turbomachinery flow is established using semigeodesic coordinate system (S-coordinate) on the curved two-dimensional surface of the blade. BLE are a nonlinear partial differential equations for unknown normal gradient of the velocity and pressure on the blade, which could be applied in the blade shape optimal control. Furthermore the existence of solution of BLE and a finite element algorithm based on approximate inertial manifold are provided and numerical example of flow in a centrifugal impeller is also presented.

• 出版日期2014-9
• 单位西安交通大学