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1

Talwar, Mahesh. Multiphase, compressible, and incompressible flow. Gulf Pub. Co., Book Division, 1985.

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2

United States. National Aeronautics and Space Administration., ed. Compressible and incompressible fluid seals: Influence on rotordynamic response and stability. National Aeronautics and Space Administration, 1992.

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3

United States. National Aeronautics and Space Administration., ed. Compressible and incompressible fluid seals: Influence on rotordynamic response and stability. National Aeronautics and Space Administration, 1992.

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4

Institute for Computer Applications in Science and Engineering., ed. Preconditioned methods for solving the incompressible and low speed compressible equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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5

United States. National Aeronautics and Space Administration., ed. Studies of pressure-velocity coupling schemes for analysis of incompressible and compressible flows. National Aeronautics and Space Administration, 1987.

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6

N, Vatsa V., Radespiel R, and Institute for Computer Applications in Science and Engineering., eds. Preconditioning methods for low-speed flows. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1996.

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7

-H, Shih T., and United States. National Aeronautics and Space Administration., eds. An NPARC turbulence module with wall functions: Under cooperative agreement NCC3-370. National Aeronautics and Space Administration, 1997.

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8

United States. National Aeronautics and Space Administration., ed. PDF methods for combustion in high-speed turbulent flows: Second annual technical report. National Aeronautics and Space Administration, 1995.

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9

Pope, Stephen B. PDF methods for combustion in high-speed turbulent flows: Second annual technical report. National Aeronautics and Space Administration, 1995.

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10

Jen-Ping, Chen, and United States. National Aeronautics and Space Administration., eds. Computation of rotor-stator interaction using Navier-Stokes equations: Final report. CFD Lab, NSF Engineering Research Center for Computational Field Simulation, Mississippi State University, 1995.

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11

Jen-Ping, Chen, and United States. National Aeronautics and Space Administration., eds. Computation of rotor-stator interaction using Navier-Stokes equations: Final report. CFD Lab, NSF Engineering Research Center for Computational Field Simulation, Mississippi State University, 1995.

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12

United States. National Aeronautics and Space Administration., ed. Reduced Navier Stokes relaxation procedures for internal flows: Final report, NASA grant no. NAG3-397, 3/01/83-2/28/96. National Aeronautics and Space Administration, 1997.

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13

Iosilevskii, Gil. Wing Theory—Incompressible Fluids. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-73625-4.

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14

Girin, Oleksandr. Dynamics of Compressible Fluids. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-11262-1.

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15

Steams, Jim. Engineering flow dynamics: Incompressible fluids. Knovel, 2011.

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16

Khapalov, Alexander. Bio-Mimetic Swimmers in Incompressible Fluids. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-85285-6.

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17

Marchioro, Carlo, and Mario Pulvirenti. Mathematical Theory of Incompressible Nonviscous Fluids. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-4284-0.

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18

Feireisl, Eduard, Trygve G. Karper, and Milan Pokorný. Mathematical Theory of Compressible Viscous Fluids. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44835-0.

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19

Padula, Mariarosaria. Asymptotic Stability of Steady Compressible Fluids. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21137-9.

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20

Waqar, Hashim, and United States. National Aeronautics and Space Administration., eds. Oscillating flow and heat transfer in a channel with sudden cross section change: Final report. National Aeronautics and Space Administration, 1993.

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21

Tuncer, Cebeci, ed. Computational fluid dynamics for engineers: From panel to Navier-Stokes methods with computer programs. Horizons Pub. Inc., 2005.

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22

United States. National Aeronautics and Space Administration., ed. Performance analysis of three dimensional integral equation computations on a massively parallel computer: A thesis presented to the Graduate College, Hampton University ... National Aeronautics and Space Administration, 1994.

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23

United States. National Aeronautics and Space Administration., ed. Performance analysis of three dimensional integral equation computations on a massively parallel computer: A thesis presented to the Graduate College, Hampton University ... National Aeronautics and Space Administration, 1994.

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24

Kim, Tujin, and Daomin Cao. Equations of Motion for Incompressible Viscous Fluids. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78659-5.

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25

Marchioro, Carlo. Mathematical theory of incompressible non-viscous fluids. Springer-Verlag, 1994.

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26

Kawahara, Mutsuto. Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows. Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-55450-9.

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27

Deville, Michel O. An Introduction to the Mechanics of Incompressible Fluids. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04683-4.

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28

Kreml, Ondřej, Václav Mácha, Šárka Nečasová, Tomasz Piasecki, and Aneta Wróblewska-Kamińska. Mathematical Theory of Compressible Fluids on Moving Domains. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-83324-3.

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29

Turkel, Eli. Preconditioned methods for solving the incompressible and low speed compressible equations. ICASE, 1986.

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30

Glimm, James. Statistical theories of Rayleigh-Taylor instability for compressible fluids. Los Alamos National Laboratory, 1988.

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31

Mhuiris, Nessan Mac Giolla. The construction and use of divergence free vector expansions for incompressible fluid flow calculations. ICASE, 1986.

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32

United States. National Aeronautics and Space Administration., ed. Interactive computer graphics applications for compressible aerodynamics. National Aeronautics and Space Administration, 1994.

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33

Joint Institute for Aeronautics and Acoustics., ed. Self-similar compressible free vortices. Joint Institute for Aeronautics and Acoustics, National Aeronautics and Space Administration, Ames Research Center, 1998.

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34

Joint Institute for Aeronautics and Acoustics., ed. Self-similar compressible free vortices. Joint Institute for Aeronautics and Acoustics, National Aeronautics and Space Administration, Ames Research Center, 1998.

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35

Williams, Jerome. Fluid physics for oceanographers and physicists: An introduction to incompressible flow. Pergamon Press, 1989.

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36

Veldman, A. E. P. Axisymmetric liquid sloshing under low-g conditions: Numerical simulation method (reference manual). National Aerospace Laboratory, 1986.

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37

E, Grosch C., and Institute for Computer Applications in Science and Engineering., eds. Inviscid spatial stability of a compressible mixing layer. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1989.

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38

1953-, Ristorcelli J. R., Taulbee D. B, and Institute for Computer Applications in Science and Engineering., eds. Progress in Favré-Reynolds stress closures for compressible flows. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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39

1953-, Ristorcelli J. R., Taulbee D. B, and Institute for Computer Applications in Science and Engineering., eds. Progress in Favré-Reynolds stress closures for compressible flows. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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40

1953-, Ristorcelli J. R., Taulbee D. B, and Institute for Computer Applications in Science and Engineering., eds. Progress in Favré-Reynolds stress closures for compressible flows. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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41

Müller, U., K. G. Roesner, and B. Schmidt. Recent Developments in Theoretical and Experimental Fluid Mechanics: Compressible and Incompressible Flows. Springer, 2011.

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42

Modeling and Computation of Boundary-Layer Flows: Laminar, Turbulent and Transitional Boundary Layers in Incompressible and Compressible Flows. Springer London, Limited, 2005.

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43

Modeling and Computation of Boundary-Layer Flows: Laminar, Turbulent and Transitional Boundary Layers in Incompressible and Compressible Flows. 2nd ed. Springer, 2005.

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44

Studies of pressure-velocity coupling schemes for analysis of incompressible and compressible flows. National Aeronautics and Space Administration, 1987.

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45

Preconditioning methods for low-speed flows. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1996.

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46

Kawahara, Mutsuto. Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows: From Fundamental Concepts to Applications. Springer London, Limited, 2016.

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47

Kawahara, Mutsuto. Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows: From Fundamental Concepts to Applications. Springer, 2018.

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48

Kawahara, Mutsuto. Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows: From Fundamental Concepts to Applications. Mutsuto Kawahara, 2016.

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49

Escudier, Marcel. Flow through axial-flow-turbomachinery blading. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0014.

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This chapter is concerned primarily with the flow of a compressible fluid through stationary and moving blading, for the most part using the analysis introduced in Chapter 11. The principles of dimensional analysis are applied to determine the appropriate non-dimensional parameters to characterise the performance of a turbomachine. The analysis of incompressible flow through a linear cascade of aerofoil-like blades is followed by the analysis of compressible flow. Velocity triangles for flow relative to blades, and Euler’s turbomachinery equation, are introduced to analyse flow through a rotor. The concepts introduced are applied to the analysis of an axial-turbomachine stage comprising a stator and a rotor, which applies to either a compressor or a turbine.
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50

Perfect incompressible fluids. Clarendon Press, 1998.

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