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1

Anwar-ul-Haque, Ning Qin, and Farooq Umar. "ASYMMETRY OF FLOW AT HIGH ANGLE OF ATTACK(Compressible Flow)." Proceedings of the International Conference on Jets, Wakes and Separated Flows (ICJWSF) 2005 (2005): 661–66. http://dx.doi.org/10.1299/jsmeicjwsf.2005.661.

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2

M, Uma. "Flow Pattern of Compressible Fluids in Steady State." International Journal of Science and Research (IJSR) 12, no. 1 (January 5, 2023): 1233–37. http://dx.doi.org/10.21275/sr231010132523.

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3

Veress, Árpád, János Molnár, and József Rohács. "Compressible viscous flow solver." Periodica Polytechnica Transportation Engineering 37, no. 1-2 (2009): 77. http://dx.doi.org/10.3311/pp.tr.2009-1-2.13.

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4

Ockendon, Hilary, and John R. Ockendon. "Waves and Compressible Flow." Applied Mechanics Reviews 57, no. 6 (2004): B33. http://dx.doi.org/10.1115/1.1849177.

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5

Grotberg, J. B., and T. R. Shee. "Compressible-flow channel flutter." Journal of Fluid Mechanics 159, no. -1 (October 1985): 175. http://dx.doi.org/10.1017/s0022112085003160.

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6

Liu, Tai-Ping, Zhouping Xin, and Tong Yang. "Vacuum states for compressible flow." Discrete & Continuous Dynamical Systems - A 4, no. 1 (1998): 1–32. http://dx.doi.org/10.3934/dcds.1998.4.1.

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7

Golubkin, Valerii Nikolaevich, and Grigorii Borisovich Sizykh. "ON THE COMPRESSIBLE COUETTE FLOW." TsAGI Science Journal 49, no. 1 (2018): 29–41. http://dx.doi.org/10.1615/tsagiscij.2018026781.

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8

Molki, Majid. "Introduction to Compressible Fluid Flow." Heat Transfer Engineering 36, no. 5 (October 24, 2014): 521–22. http://dx.doi.org/10.1080/01457632.2014.935227.

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9

Vergassola, M., and M. Avellaneda. "Scalar transport in compressible flow." Physica D: Nonlinear Phenomena 106, no. 1-2 (July 1997): 148–66. http://dx.doi.org/10.1016/s0167-2789(97)00022-5.

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10

CROWDY, DARREN G. "Compressible bubbles in Stokes flow." Journal of Fluid Mechanics 476 (February 10, 2003): 345–56. http://dx.doi.org/10.1017/s0022112002002975.

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The problem of a two-dimensional inviscid compressible bubble evolving in Stokes flow is considered. By generalizing the work of Tanveer & Vasconcelos (1995) it is shown that for certain classes of initial condition the quasi-steady free boundary problem for the bubble shape evolution is reducible to a finite set of coupled nonlinear ordinary differential equations, the form of which depends on the equation of state governing the relationship between the bubble pressure and its area. Recent numerical calculations by Pozrikidis (2001) using boundary integral methods are retrieved and extended. If the ambient pressures are small enough, it is shown that bubbles can expand significantly. It is also shown that a bubble evolving adiabatically is less likely to expand than an isothermal bubble.
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11

Johnston, R., and S. Fleeter. "Compressible flow hot-wire calibration." Experiments in Fluids 22, no. 5 (March 17, 1997): 444–46. http://dx.doi.org/10.1007/s003480050070.

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12

Zwart, P. J., R. Budwig, and S. Tavoularis. "Grid turbulence in compressible flow." Experiments in Fluids 23, no. 6 (December 10, 1997): 520–22. http://dx.doi.org/10.1007/s003480050143.

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13

Wilkinson, J., A. Motamed-Amini, and I. Owen. "Compressible and confined vortex flow." International Journal of Heat and Fluid Flow 9, no. 4 (December 1988): 373–80. http://dx.doi.org/10.1016/0142-727x(88)90003-3.

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14

Tan, Jianguo, Hao Li, and Juwei Hou. "Flow-induced vibration in the compressible cavity flow." Vibroengineering PROCEDIA 14 (October 21, 2017): 238–43. http://dx.doi.org/10.21595/vp.2017.19154.

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15

Huang, Yi-Xuan, Kao-Chun Su, and Kung-Ming Chung. "Flow Structures in a Compressible Elliptical Cavity Flow." Aerospace 12, no. 3 (March 9, 2025): 222. https://doi.org/10.3390/aerospace12030222.

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This experimental and numerical study determines the time-averaged flow patterns within an elliptical cavity at a freestream Mach number of 0.83. The elliptical cavity model has a length-to-depth ratio of 4.43, which is classified as an open cavity flow. The flow within the elliptical cavity exhibits distinctive features due to its unique geometry. A large clockwise-rotating recirculation vortex is created, which is a common feature of an open cavity flow. Tornado-like vortices are observed at positions farther from the centerline than those in a rectangular cavity because of the geometric effect of the diverging sidewalls in the front half of an elliptical cavity, which increases the spanwise motion by directing internal flow from the centerline towards the sidewalls. Additional vortex structures, such as a front corner vortex, a rear corner vortex and secondary tornado-like vortices near the sidewalls, are identified. These structures contribute to complex flow interactions, including vortex–vortex, vortex–wall, and shear layer interactions. The three-dimensional effect affects the cellular structures within the cavity, which is similar to the effect for a rectangular cavity with a large length-to-width ratio.
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16

Heister, S. D., J. M. Mcdonough, A. R. Karagozian, and D. W. Jenkins. "The compressible vortex pair." Journal of Fluid Mechanics 220 (November 1990): 339–54. http://dx.doi.org/10.1017/s0022112090003287.

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A numerical solution for the flow field associated with a compressible pair of counter-rotating vortices is developed. The compressible, two-dimensional potential equation is solved utilizing the numerical method of Osher et al. (1985) for flow regions in which a non-zero density exists. Close to the vortex centres, vacuum ‘cores’ develop owing to the existence of a maximum achievable flow speed in a compressible flow field. A special treatment is required to represent these vacuum cores. Typical streamline patterns and core boundaries are obtained for upstream Mach numbers as high as 0.3, and the formation of weak shocks, predicted by Moore & Pullin (1987), is observed.
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17

Feistauer, Miloslav, Jaromír Horáček, Václav Kučera, and Jaroslava Prokopová. "On numerical solution of compressible flow in time-dependent domains." Mathematica Bohemica 137, no. 1 (2012): 1–16. http://dx.doi.org/10.21136/mb.2012.142782.

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18

MATSUO, Shigeru, Toshiaki SETOGUCHI, and Heuy Dong KIM. "A Numerical Study of Compressible Flow through a Micro Channel." Proceedings of Conference of Kyushu Branch 2004.57 (2004): 205–6. http://dx.doi.org/10.1299/jsmekyushu.2004.57.205.

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19

Pavlika, V. "The Design of Axisymmetric Ducts for Compressible Flow with Vorticity." International Journal of Applied Physics and Mathematics 4, no. 2 (2014): 81–88. http://dx.doi.org/10.7763/ijapm.2014.v4.259.

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20

MOORE, D. W., and D. I. PULLIN. "On steady compressible flows with compact vorticity; the compressible Hill's spherical vortex." Journal of Fluid Mechanics 374 (November 10, 1998): 285–303. http://dx.doi.org/10.1017/s0022112098002675.

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We consider steady compressible Euler flow corresponding to the compressible analogue of the well-known incompressible Hill's spherical vortex (HSV). We first derive appropriate compressible Euler equations for steady homentropic flow and show how these may be used to define a continuation of the HSV to finite Mach number M∞=U∞/C∞, where U∞, C∞ are the fluid velocity and speed of sound at infinity respectively. This is referred to as the compressible Hill's spherical vortex (CHSV). It corresponds to axisymmetric compressible Euler flow in which, within a vortical bubble, the azimuthal vorticity divided by the product of the density and the distance to the axis remains constant along streamlines, with irrotational flow outside the bubble. The equations are first solved numerically using a fourth-order finite-difference method, and then using a Rayleigh–Janzen expansion in powers of M2∞ to order M4∞. When M∞>0, the vortical bubble is no longer spherical and its detailed shape must be determined by matching conditions consisting of continuity of the fluid velocity at the bubble boundary. For subsonic compressible flow the bubble boundary takes an approximately prolate spheroidal shape with major axis aligned along the flow direction. There is good agreement between the perturbation solution and Richardson extrapolation of the finite difference solutions for the bubble boundary shape up to M∞ equal to 0.5. The numerical solutions indicate that the flow first becomes locally sonic near or at the bubble centre when M∞≈0.598 and a singularity appears to form at the sonic point. We were unable to find shock-free steady CHSVs containing regions of locally supersonic flow and their existence for the present continuation of the HSV remains an open question.
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21

Moore, D. W., and D. I. Pullin. "The compressible vortex pair." Journal of Fluid Mechanics 185 (December 1987): 171–204. http://dx.doi.org/10.1017/s0022112087003136.

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We consider the steady self-propagation with respect to the fluid at infinity of two equal symmetrically shaped vortices in a compressible fluid. Each vortex core is modelled by a region of stagnant constant-pressure fluid bounded by closed constant-pressure, constant-speed streamlines of unknown shape. The external flow is assumed to be irrotational inviscid isentropic flow of a perfect gas. The flow is therefore shock free but may be locally supersonic. The nonlinear free-boundary problem for the vortex-pair flow is formulated in the hodograph plane of compressible-flow theory, and a numerical solution method based on finite differences is described. Specific results are presented for a range of parameters which control the flow, namely the Mach number of the pair translational motion and the fluid speed on each vortex bounding streamline. Perturbation-theory predictions are developed, valid for vortices of small core radius when the pair Mach number is much less than unity. These are in good agreement with the hodograph-plane calculations. The numerical and the perturbation-theory results together confirm the recently discovered (Barsony-Nagy, Er-El & Yungster 1987) existence of continuous shock-free transonic compressible flows with embedded vortices. For the vortex-pair geometry studied, solution branches corresponding to physically acceptable flows that could be calculated using the present hodograph-plane numerical method were found to be terminated when either the flow on the streamline of symmetry separating the vortiqes tends to become superonic or when limiting lines appear in the hodograph plane giving a locally multivalued mapping to the physical plane.
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22

Stryczniewicz, Wit. "Quantitative Visualisation of Compressible Flows." Transactions on Aerospace Research 2018, no. 1 (March 1, 2018): 137–45. http://dx.doi.org/10.2478/tar-2018-0009.

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Abstract The paper demonstrates the feasibility of quantitative flow visualisation methods for investigation of transonic and supersonic flows. Two methods and their application for retrieving compressible flow field properties has been described: Background Oriented Schlieren (BOS) and Particle Image Velocimetry (PIV). Recently introduced BOS technique extends the capabilities of classical Schlieren technique by use of digital image processing and allow to measure density gradients field. In the presented paper a review of applications of BOS technique has been presented. The PIV is well established technique for whole field velocity measurements. This paper presents application of PIV for determination of the shock wave position above airfoil in transonic flow regime. The study showed that application of quantitative flow visualisation techniques allows to gain new insights on the complex phenomenon of supersonic and transonic flow over airfoils like shock-boundary layer interaction and shock induced flow separation.
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23

Shirani, Ebrahim. "Compressible Flow Around a Circular Cylinder." Journal of Applied Sciences 1, no. 4 (September 15, 2001): 472–76. http://dx.doi.org/10.3923/jas.2001.472.476.

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24

Renardy, Michael. "Backward uniqueness for linearized compressible flow." Evolution Equations and Control Theory 4, no. 1 (February 2015): 107–13. http://dx.doi.org/10.3934/eect.2015.4.107.

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25

Lu, Frank K. "Review of Waves and Compressible Flow." AIAA Journal 42, no. 7 (July 2004): 1502. http://dx.doi.org/10.2514/1.14206.

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26

Young, Fred M. "Generalized one-dimensional, steady, compressible flow." AIAA Journal 31, no. 1 (January 1993): 204–8. http://dx.doi.org/10.2514/3.11341.

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27

MORINISHI, Youhei, Shinji TAMANO, and Kouichi NAKABAYASHI. "DNS of compressible turbulent channel flow." Proceedings of the JSME annual meeting 2000.1 (2000): 13–14. http://dx.doi.org/10.1299/jsmemecjo.2000.1.0_13.

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28

Govorukhin, V. N., A. Morgulis, V. I. Yudovich, and G. M. Zaslavsky. "Chaotic advection in compressible helical flow." Physical Review E 60, no. 3 (September 1, 1999): 2788–98. http://dx.doi.org/10.1103/physreve.60.2788.

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29

Celani, A., A. Lanotte, and A. Mazzino. "Passive scalar intermittency in compressible flow." Physical Review E 60, no. 2 (August 1, 1999): R1138—R1141. http://dx.doi.org/10.1103/physreve.60.r1138.

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30

van Odyck, D. E. A., and C. H. Venner. "Compressible Stokes Flow in Thin Films." Journal of Tribology 125, no. 3 (June 19, 2003): 543–51. http://dx.doi.org/10.1115/1.1539058.

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A multigrid numerical solution algorithm has been developed for the laminar (Stokes) flow of a compressible medium in a thin film. The solver has been applied to two model problems each representative of lubrication problems in a specific way. For both problems the solutions of the Stokes equations are compared with the solutions of the Reynolds equation. The configurations of both model problems were chosen such that based on the ratio film thickness to contact length (H/L) the difference between the Reynolds and the Stokes solutions will be very small, so the geometry of the gap itself does not lead to a significant cross film dependence of the pressure. It is shown that in this situation the compressibility can still lead to a cross-film pressure dependence which is predicted by the Stokes solution and not by the Reynolds solution. The results demonstrate that limitations exist to the validity of the Reynolds equation related to the compressibility of the medium.
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31

Bala, Manju. "Stability of Stratified Compressible Shear Flow." International Journal of Mathematics Trends and Technology 46, no. 2 (June 25, 2017): 53–61. http://dx.doi.org/10.14445/22315373/ijmtt-v46p511.

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32

Pepper, Darrell W. "FINITE ELEMENT METHOD FOR COMPRESSIBLE FLOW." Numerical Heat Transfer, Part B: Fundamentals 26, no. 3 (October 1994): 237–56. http://dx.doi.org/10.1080/10407799408914928.

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33

Sekizawa, Kensuke, Yuzuru SAKAI, and Akihiko Yamashita. "Compressible Flow Analysis by SPH Method." Proceedings of The Computational Mechanics Conference 2004.17 (2004): 771–72. http://dx.doi.org/10.1299/jsmecmd.2004.17.771.

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34

Venerus, D. C., and D. J. Bugajsky. "Compressible laminar flow in a channel." Physics of Fluids 22, no. 4 (April 2010): 046101. http://dx.doi.org/10.1063/1.3371719.

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35

Mucha, Piotr B., and Tomasz Piasecki. "Compressible perturbation of Poiseuille type flow." Journal de Mathématiques Pures et Appliquées 102, no. 2 (August 2014): 338–63. http://dx.doi.org/10.1016/j.matpur.2013.11.012.

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36

van den Berg, H. R., C. A. ten Seldam, and P. S. van der Gulik. "Compressible laminar flow in a capillary." Journal of Fluid Mechanics 246 (January 1993): 1–20. http://dx.doi.org/10.1017/s0022112093000011.

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An equation based on the hydrodynamical equations of change is solved, analytically and numerically, for the calculation of the viscosity from the mass-flow rate of a steady, isothermal, compressible and laminar flow in a capillaiy. It is shown that by far the most dominant correction is that due to the compressibility of the fluid, computable from the equation of state. The combined correction for the acceleration of the fluid and the change of the velocity profile appears to be 1.5 times larger than the correction accepted to date.
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37

Astarita, Tommaso, and Raffaella Ocone. "Unsteady Compressible Flow of Granular Materials†." Industrial & Engineering Chemistry Research 38, no. 4 (April 1999): 1177–82. http://dx.doi.org/10.1021/ie980393z.

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38

Wolfrath, J., V. Michaud, A. Modaressi, and J. A. E. Månson. "Unsaturated flow in compressible fibre preforms." Composites Part A: Applied Science and Manufacturing 37, no. 6 (June 2006): 881–89. http://dx.doi.org/10.1016/j.compositesa.2005.01.008.

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39

ELLING, Volker. "Relative entropy and compressible potential flow." Acta Mathematica Scientia 35, no. 4 (July 2015): 763–76. http://dx.doi.org/10.1016/s0252-9602(15)30020-5.

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40

Shidlovsky, V. P. "Rayleigh's problem for compressible viscous flow." Acta Mechanica 112, no. 1-4 (March 1995): 29–36. http://dx.doi.org/10.1007/bf01177476.

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41

Stephens, Tamar, and Mark A. Tumeo. "Pulsation Errors in Compressible Flow Measurement." Journal of Environmental Engineering 119, no. 2 (March 1993): 384–88. http://dx.doi.org/10.1061/(asce)0733-9372(1993)119:2(384).

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42

Prud'Homme, Robert K., Thomas W. Chapman, and J. Ray Bowen. "Laminar compressible flow in a tube." Applied Scientific Research 43, no. 1 (March 1986): 67–74. http://dx.doi.org/10.1007/bf00385729.

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43

Liu, Tai-Ping. "Compressible flow with damping and vacuum." Japan Journal of Industrial and Applied Mathematics 13, no. 1 (February 1996): 25–32. http://dx.doi.org/10.1007/bf03167296.

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44

Peraire, J., M. Vahdati, K. Morgan, and O. C. Zienkiewicz. "Adaptive remeshing for compressible flow computations." Journal of Computational Physics 72, no. 2 (October 1987): 449–66. http://dx.doi.org/10.1016/0021-9991(87)90093-3.

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45

Chandran, R. Jishnu, and A. Salih. "A Pressure-based Compressible-Liquid Flow Model for Computation of Instantaneous Valve Closure in Pipes." Science & Technology Journal 7, no. 2 (July 1, 2019): 60–66. http://dx.doi.org/10.22232/stj.2019.07.02.07.

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A generalized, pressure-based compressible-liquid flow model is proposed for the isothermal low-speed flow of liquids. The flow model incorporates dedicated equations of state for liquids into the pressure-based solvers to simulate the compressible effects in liquids. The model’s capability to handle compressible liquid flow problems is evaluated against the well-established density-based water-hammer model. The isothermal flow problem of an instantaneous valve closure in an irrigation pipe and the associated flow transients are numerically solved using the proposed model by employing the Tait equation of state in conjunction with a segregated pressure-based solver algorithm. The transient flow problem is solved for a range of operating pressures, and the surge in pressure and variation of other flow properties and their interrelations are studied in detail. The proposed model could successfully capture the entire physics of the problem, including the compressible modeling of the liquid involved and could produce high accuracy numerical results. The results suggest that the pressure-based compressible-liquid flow model is a reliable and computationally inexpensive numerical tool for isothermal low-speed compressible liquid flow computations.
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46

Kim, Donguk, Minsoo Kim, and Seungsoo Lee. "Extension of Compressible Flow Solver to Incompressible Flow Analysis." Journal of the Korean Society for Aeronautical & Space Sciences 49, no. 6 (June 30, 2021): 449–56. http://dx.doi.org/10.5139/jksas.2021.49.6.449.

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47

Zhusupbekova, Samara T. "The Issue Flow Concave Surface Flow in Compressible Fluid." Journal of Siberian Federal University. Engineering & Technologies 9, no. 1 (February 2016): 32–38. http://dx.doi.org/10.17516/1999-494x-2016-9-1-32-38.

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48

Pretorius, J. J., A. G. Malan, and J. A. Visser. "A flow network formulation for compressible and incompressible flow." International Journal of Numerical Methods for Heat & Fluid Flow 18, no. 2 (March 27, 2008): 185–201. http://dx.doi.org/10.1108/09615530810846338.

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49

Ng’aru, Joseph Mwangi, and Sunho Park. "Computational Analysis of Cavitating Flows around a Marine Propeller Using Incompressible, Isothermal Compressible, and Fully Compressible Flow Solvers." Journal of Marine Science and Engineering 11, no. 11 (November 19, 2023): 2199. http://dx.doi.org/10.3390/jmse11112199.

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This research investigates cavitation around a marine propeller, employing computational fluid dynamic (CFD) solvers, including an incompressible, isothermal compressible, and fully compressible flow. The investigation commenced with simulations utilizing an incompressible flow solver, subsequently extending to the two compressible flow solvers. In the compressible flow, there is a close interrelation between density, pressure, and temperature, which significantly influences cavitation dynamics. To verify computational methods, verification tests were conducted for leading-edge cavitating flows over a two-dimensional (2D)-modified NACA66 hydrofoil section at various cavitation numbers. The computational results were validated against the experimental data, with the solvers’ capability to predict cavitation forming the basis for comparison. The results demonstrate consistent predictions among the solvers; however, the fully compressible flow solver demonstrated a superior performance in capturing re-entrant jets and accurately modeling cavity closure regions. Furthermore, the fully compressible flow solver precisely estimated propeller hydrodynamic performance, yielding results closely aligned with experimental observations.
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50

Neustupa, Jiří, and Antonín Novotný. "Global weak solvability to the regularized viscous compressible heat conductive flow." Applications of Mathematics 36, no. 6 (1991): 417–31. http://dx.doi.org/10.21136/am.1991.104479.

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