Entropy Minimization Design Approach of Supersonic Internal Passages

Fluid machinery operating in the supersonic regime unveil avenues towards more compact technology. However, internal supersonic flows are associated with high aerodynamic and thermal penalties, which usually prevent their practical implementation. Indeed, both shock losses and the limited operational range represent particular challenges to aerodynamic designers that should be taken into account at the initial phase of the design process. This paper presents a design methodology for supersonic passages based on direct evaluations of the velocity field using the method of characteristics and computation of entropy generation across shock waves. This meshless function evaluation tool is then coupled to an optimization scheme, based on evolutionary algorithms that minimize the entropy generation across the supersonic passage. Finally, we assessed the results with 3D Reynolds Averaged Navier Stokes calculations.

[1]  Antonio Ferri Preliminary analysis of axial-flow compressors having supersonic velocity at the entrance of the stator , 1949 .

[2]  R. L. Binsley,et al.  Aerodynamic Design and Verification of a Two-Stage Turbine With a Supersonic First Stage , 1978 .

[3]  Shigeki Senoo,et al.  Development of design method for supersonic turbine aerofoils near the TIP of long blades in steam turbines Part 1: Overall Configuration , 2012 .

[4]  J. Anderson,et al.  Modern Compressible Flow: With Historical Perspective , 1982 .

[5]  T. Yasa,et al.  Unsteady Strong Shock Interactions in a Transonic Turbine : Experimental and Numerical Analysis , 2008 .

[6]  J. Vecchiarelli,et al.  ANALYSIS OF A CONCEPT FOR INCREASING THE EFFICIENCY OF A BRAYTON CYCLE VIA ISOTHERMAL HEAT ADDITION , 1997 .

[7]  W. E. Moeckel,et al.  Approximate method for predicting form and location of detached shock waves ahead of plane or axially symmetric bodies , 1949 .

[8]  Naser M. Jubeh,et al.  Exergy Analysis and Second Law Efficiency of a Regenerative Brayton Cycle with Isothermal Heat Addition , 2005, Entropy.

[9]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[10]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[11]  P. N. Suganthan,et al.  Differential Evolution: A Survey of the State-of-the-Art , 2011, IEEE Transactions on Evolutionary Computation.

[12]  Von Karman,et al.  CADO : a Computer Aided Design and Optimization Tool for Turbomachinery Applications , 2010 .

[13]  Arthur Kantrowitz,et al.  Preliminary Investigation of Supersonic Diffusers , 1945 .

[14]  Guillermo Paniagua,et al.  Design and analysis of pioneering high supersonic axial turbines , 2014 .

[15]  Vivek Tiwari,et al.  Ecological Optimization and Parametric Study of an Irreversible Regenerative Modified Brayton Cycle with Isothermal Heat Addition , 2003, Entropy.