Araştırma Makalesi
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A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory

Yıl 2022, Cilt: 25 Sayı: 2, 50 - 62, 01.06.2022
https://doi.org/10.5541/ijot.1017342

Öz

A new theoretical groundwork for the analysis of wall-bounded turbulent flows is offered, the application of which is presented in a parallel paper. First, it is proposed that the turbulence phenomenon is connected to the onset of an irreversible process – specifically the action of a slip flow – by which a new fundamental model can be derived. Fluid cells with specific dimensions – of length connected with the local slip length and thickness connected with the distance between two parallel slipping flows – can be hypothetically constructed, in which a specific kinetic energy dissipation can be considered to occur. Second, via a maximum entropy production process a self-organized grouping of cells occurs – which results in the distinct zones viscous sublayer, buffer layer, and the log-law region to be built up. It appears that the underlying web structure may take the form of either representing a perfect web structure without any visible swirls, or a partially defect web structure where unbalanced forces may result in the generation of apparent swirls – which in turn might grow into larger turbulent eddies. Third, on the transition from laminar to turbulent flows, a nominal connection between the onset of a turbulent wall boundary layer (in a pipe flow), the Reynolds number as well as the wall surface roughness can be derived.

Kaynakça

  • F.M. White, Fluid Mechanics, 2nd Ed., McGraw-Hill Book Company, 1986.
  • R.L. Panton, Incompressible Flow, John Wiley & Sons, New York, USA, 1984.
  • H. Tennekes, J.L. Lumley, A First Course in Turbulence, MIT Press, 1972.
  • P.A. Davidson, Turbulence: An Introduction for Scientists and Engineers, Oxford University Press, 2004.
  • K. Sreenivasan, P.A. Davidson, Y. Kaneda, K. Moffatt, A Voyage Through Turbulence, Cambridge University Press, 2011.
  • B. Herrmann, P. Oswald, R. Semaan and S. L. Bunton, "Modeling synchronization in forced turbulent oscillator flows", Commun Phys 3:195, 2020. DOI: 10.1038/s42005-020-00466-3.
  • P. Moin, K. Mahesh, “DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research”, Annual Review of Fluid Mechanics 30, 539-578, 1998.
  • L.F. Richardson, Weather Prediction by Numerical Process, Cambridge University Press, 1922.
  • A.N. Kolmogorov, “The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers”, Proceedings of the USSR Academy of Sciences (in Russian), 30, 299-303, 1941. Translated into English by L. Levin: A.N. Kolmogorov, “The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers”, Proceedings of the Royal Society A, 434, 9–13, 1991.
  • C. Liu, P. Lu, L. Chen, Y. Yan, "New Theories on Boundary Layer Transition and Turbulence Formation", Modelling and Simulation in Engineering, Article ID 619419, 2012.
  • R. Bose, P.A. Durbin, “Transition to Turbulence by Interaction of Free-Stream and Discrete Mode Perturbations”, Physics of Fluids 28:114105, 2016.
  • F. Ducros, P. Comte, M. Lesieur, “Large-Eddy Simulation of Transition to Turbulence in A Boundary Layer Developing Spatially Over a Flat Plate”, Journal of Fluid Mechanics, 326, 1–36, 1996.
  • B.E. Launder, D.B. Spalding, "The Numerical Computation of Turbulent Flows", Computer Methods in Applied Mechanics and Engineering 3, 269–289, 1974.
  • Y. Demirel, Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical, Chemical and Biological Systems, 3rd Ed., Elsevier, 2014.
  • D. Kondepudi, I. Prigogine, Modern Thermodynamics: From Heat Engines to Dissipative Structures, Wiley, 1998.
  • M. Gustavsson, ‘‘Residual Thermodynamics: A Framework for Analysis of Non-Linear Irreversible Processes’’, Int. J. Thermodynamics, 15, 69–82, 2012.
  • M. Gustavsson, “A Residual Thermodynamic Analysis of Turbulence – Part 2: Pipe Flow Computations and Further Development of Theory”, submitted for publication.
  • I. Finnie, Y.H. Kabil, ”On The Formation of Surface Ripples During Erosion”, Wear 8, 60-69, 1965.
  • M. Gustavsson, “Fluid Dynamic Mechanisms of Particle Flow Causing Ductile and Brittle Erosion”, Wear 252, 845-858, 2002.
  • H. Enwald, E. Peirano, GEMINI: A Cartesian Multiblock Finite Difference Code for Simulation of Gas-Particle Flows, Publikation Nr 97/4, Department of Thermo and Fluid Dynamics, Chalmers University of Technology, Sweden, 1997.
  • M. Gustavsson, A.E. Almstedt, “Numerical Simulation of Fluid Dynamics in Fluidized Beds with Horizontal Heat Exchanger Tubes”, Chemical Engineering Science 55, 857–866, 2000.
  • M. Gustavsson, A.E. Almstedt, “Two-Fluid Modelling of Cooling-Tube Erosion in A Fluidized Bed”, Chemical Engineering Science 55, 867–879, 2000.
  • M. Gustavsson, "A Residual Thermodynamic Analysis of Inert Wear and Attrition, Part 1: Theory", International Journal of Thermodynamics 18, 26-37, 2015.
  • M. Gustavsson, "A Residual Thermodynamic Analysis of Inert Wear and Attrition, Part 2: Applications", International Journal of Thermodynamics 18, 39-52, 2015.
  • A. Kleidon, Y. Malhi, P.M. Cox, “Maximum Entropy Production in Environmental and Ecological Systems”, Phil. Trans. R. Soc. B 365, 1297-1302, 2010.
Yıl 2022, Cilt: 25 Sayı: 2, 50 - 62, 01.06.2022
https://doi.org/10.5541/ijot.1017342

Öz

Kaynakça

  • F.M. White, Fluid Mechanics, 2nd Ed., McGraw-Hill Book Company, 1986.
  • R.L. Panton, Incompressible Flow, John Wiley & Sons, New York, USA, 1984.
  • H. Tennekes, J.L. Lumley, A First Course in Turbulence, MIT Press, 1972.
  • P.A. Davidson, Turbulence: An Introduction for Scientists and Engineers, Oxford University Press, 2004.
  • K. Sreenivasan, P.A. Davidson, Y. Kaneda, K. Moffatt, A Voyage Through Turbulence, Cambridge University Press, 2011.
  • B. Herrmann, P. Oswald, R. Semaan and S. L. Bunton, "Modeling synchronization in forced turbulent oscillator flows", Commun Phys 3:195, 2020. DOI: 10.1038/s42005-020-00466-3.
  • P. Moin, K. Mahesh, “DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research”, Annual Review of Fluid Mechanics 30, 539-578, 1998.
  • L.F. Richardson, Weather Prediction by Numerical Process, Cambridge University Press, 1922.
  • A.N. Kolmogorov, “The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers”, Proceedings of the USSR Academy of Sciences (in Russian), 30, 299-303, 1941. Translated into English by L. Levin: A.N. Kolmogorov, “The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers”, Proceedings of the Royal Society A, 434, 9–13, 1991.
  • C. Liu, P. Lu, L. Chen, Y. Yan, "New Theories on Boundary Layer Transition and Turbulence Formation", Modelling and Simulation in Engineering, Article ID 619419, 2012.
  • R. Bose, P.A. Durbin, “Transition to Turbulence by Interaction of Free-Stream and Discrete Mode Perturbations”, Physics of Fluids 28:114105, 2016.
  • F. Ducros, P. Comte, M. Lesieur, “Large-Eddy Simulation of Transition to Turbulence in A Boundary Layer Developing Spatially Over a Flat Plate”, Journal of Fluid Mechanics, 326, 1–36, 1996.
  • B.E. Launder, D.B. Spalding, "The Numerical Computation of Turbulent Flows", Computer Methods in Applied Mechanics and Engineering 3, 269–289, 1974.
  • Y. Demirel, Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical, Chemical and Biological Systems, 3rd Ed., Elsevier, 2014.
  • D. Kondepudi, I. Prigogine, Modern Thermodynamics: From Heat Engines to Dissipative Structures, Wiley, 1998.
  • M. Gustavsson, ‘‘Residual Thermodynamics: A Framework for Analysis of Non-Linear Irreversible Processes’’, Int. J. Thermodynamics, 15, 69–82, 2012.
  • M. Gustavsson, “A Residual Thermodynamic Analysis of Turbulence – Part 2: Pipe Flow Computations and Further Development of Theory”, submitted for publication.
  • I. Finnie, Y.H. Kabil, ”On The Formation of Surface Ripples During Erosion”, Wear 8, 60-69, 1965.
  • M. Gustavsson, “Fluid Dynamic Mechanisms of Particle Flow Causing Ductile and Brittle Erosion”, Wear 252, 845-858, 2002.
  • H. Enwald, E. Peirano, GEMINI: A Cartesian Multiblock Finite Difference Code for Simulation of Gas-Particle Flows, Publikation Nr 97/4, Department of Thermo and Fluid Dynamics, Chalmers University of Technology, Sweden, 1997.
  • M. Gustavsson, A.E. Almstedt, “Numerical Simulation of Fluid Dynamics in Fluidized Beds with Horizontal Heat Exchanger Tubes”, Chemical Engineering Science 55, 857–866, 2000.
  • M. Gustavsson, A.E. Almstedt, “Two-Fluid Modelling of Cooling-Tube Erosion in A Fluidized Bed”, Chemical Engineering Science 55, 867–879, 2000.
  • M. Gustavsson, "A Residual Thermodynamic Analysis of Inert Wear and Attrition, Part 1: Theory", International Journal of Thermodynamics 18, 26-37, 2015.
  • M. Gustavsson, "A Residual Thermodynamic Analysis of Inert Wear and Attrition, Part 2: Applications", International Journal of Thermodynamics 18, 39-52, 2015.
  • A. Kleidon, Y. Malhi, P.M. Cox, “Maximum Entropy Production in Environmental and Ecological Systems”, Phil. Trans. R. Soc. B 365, 1297-1302, 2010.
Toplam 25 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Makine Mühendisliği
Bölüm Araştırma Makaleleri
Yazarlar

Mattias Gustavsson

Yayımlanma Tarihi 1 Haziran 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 25 Sayı: 2

Kaynak Göster

APA Gustavsson, M. (2022). A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory. International Journal of Thermodynamics, 25(2), 50-62. https://doi.org/10.5541/ijot.1017342
AMA Gustavsson M. A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory. International Journal of Thermodynamics. Haziran 2022;25(2):50-62. doi:10.5541/ijot.1017342
Chicago Gustavsson, Mattias. “A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory”. International Journal of Thermodynamics 25, sy. 2 (Haziran 2022): 50-62. https://doi.org/10.5541/ijot.1017342.
EndNote Gustavsson M (01 Haziran 2022) A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory. International Journal of Thermodynamics 25 2 50–62.
IEEE M. Gustavsson, “A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory”, International Journal of Thermodynamics, c. 25, sy. 2, ss. 50–62, 2022, doi: 10.5541/ijot.1017342.
ISNAD Gustavsson, Mattias. “A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory”. International Journal of Thermodynamics 25/2 (Haziran 2022), 50-62. https://doi.org/10.5541/ijot.1017342.
JAMA Gustavsson M. A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory. International Journal of Thermodynamics. 2022;25:50–62.
MLA Gustavsson, Mattias. “A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory”. International Journal of Thermodynamics, c. 25, sy. 2, 2022, ss. 50-62, doi:10.5541/ijot.1017342.
Vancouver Gustavsson M. A Residual Thermodynamic Analysis of Turbulence – Part 1: Theory. International Journal of Thermodynamics. 2022;25(2):50-62.