Numerical and Theoretical Investigations Concerning the Continuous-Surface-Curvature Effect in Compressor Blades

Though the importance of curvature continuity on compressor blade performances has been realized, there are two major questions that need to be solved, i.e., the respective effects of curvature continuity at the leading-edge blend point and the main surface, and the contradiction between the traditional theory and experimental observations in the effect of those novel leading-edge shapes with smaller curvature discontinuity and sharper nose. In this paper, an optimization method to design continuous-curvature blade profiles which deviate little from datum blades is proposed, and numerical and theoretical analysis is carried out to investigate the continuous-curvature effect on blade performances. The results show that the curvature continuity at the leading-edge blend point helps to eliminate the separation bubble, thus improving the blade performance. The main-surface curvature continuity is also beneficial, although its effects are much smaller than those of the blend-point curvature continuity. Furthermore, it is observed that there exist two factors controlling the leading-edge spike, i.e., the curvature discontinuity at the blend point which dominates at small incidences, and the nose curvature which dominates at large incidences. To the authors’ knowledge, such mechanisms have not been reported before, and they can help to solve the sharp-leading-edge paradox.

[1]  A. G. Hansen,et al.  Laminar boundary layer over flat plate in a flow having circular streamlines , 1952 .

[2]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[3]  Theodosios Korakianitis,et al.  Prescribed-Curvature-Distribution Airfoils for the Preliminary Geometric Design of Axial-Turbomachinery Cascades , 1993 .

[4]  Xingen Lu,et al.  Effects of low Reynolds number on flow stability of a transonic compressor , 2015 .

[5]  A criterion for leading-edge separation , 1991 .

[6]  Andrew P. S. Wheeler,et al.  The Effect of Leading-Edge Geometry on Wake Interactions in Compressors , 2009 .

[7]  Robin Blair Langtry,et al.  A correlation-based transition model using local variables for unstructured parallelized CFD codes , 2011 .

[8]  Theodosios Korakianitis,et al.  Three dimensional direct turbine blade design method , 2002 .

[9]  Martin N. Goodhand,et al.  Compressor Leading Edge Spikes: A New Performance Criterion , 2011 .

[10]  A. D. S. Carter,et al.  Blade Profiles for Axial-Flow Fans, Pumps, Compressors, Etc.: , 1961 .

[11]  Vincent Marciniak,et al.  Assessment of Transition Modeling for the Design of Controlled Diffusion Airfoil Compressor Cascades , 2013 .

[12]  Ling Li,et al.  Effect of Leading-Edge Geometry on Separation Bubble on a Compressor Blade , 2003 .

[13]  A. Shadaram,et al.  Multi-Level Multi-Objective Multi-Point Optimization System for Axial Flow Compressor 2D Blade Design , 2013 .

[14]  Louis Rosenhead,et al.  Laminar Boundary Layers: An Account of the Development, Structure and Stability of Laminar Boundary Layers in Incompressible Fluids, Together with a Description of the Associated Experimental Techniques , 1988 .

[15]  R. E. Walraevens,et al.  Leading Edge Separation Bubbles on Turbomachine Blades , 1995 .

[16]  F. Nicoud,et al.  Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient Tensor , 1999 .

[17]  Theodosios Korakianitis,et al.  Surface-Curvature-Distribution Effects on Turbine-Cascade Performance , 1992 .

[18]  F. Menter,et al.  A Correlation-Based Transition Model Using Local Variables—Part II: Test Cases and Industrial Applications , 2006 .

[19]  Dieter Bestle,et al.  Curvature driven two-dimensional multi-objective optimization of compressor blade sections , 2011 .

[20]  Florian R. Menter,et al.  Correlation-Based Transition Modeling for Unstructured Parallelized Computational Fluid Dynamics Codes , 2009 .

[21]  Andrew P. S. Wheeler,et al.  TWO- AND THREE-DIMENSIONAL PRESCRIBED SURFACE CURVATURE DISTRIBUTION BLADE DESIGN (CIRCLE) METHOD FOR THE DESIGN OF HIGH EFFICIENCY TURBINES, COMPRESSORS, AND ISOLATED AIRFOILS , 2013 .

[22]  Garth V. Hobson,et al.  Impact of Nonuniform Leading Edge Coatings on the Aerodynamic Performance of Compressor Airfoils , 2011 .

[23]  Christian Frey,et al.  Compressor Leading Edge Sensitivities and Analysis With an Adjoint Flow Solver , 2013 .

[24]  N. Cumpsty,et al.  Compressor blade leading edges in subsonic compressible flow , 2000 .