Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2022, Cilt: 26 Sayı: 4, 720 - 744, 31.08.2022

Mustafa Koç İlyas Kandemir Volkan Ramazan Akkaya

https://doi.org/10.16984/saufenbilder.1081717

Öz

Kaynakça

  • [1] P. J. Abbott, Z. J. Jabour, “Vacuum technology considerations for mass metrology,” Journal of Research of the National Institute of Standards and Technology, vol. 116, no. 4, pp. 689–702, 2011.
  • [2] A. P. Polikarpov, I. Graur, “Unsteady rarefied gas flow through a slit,” Vacuum, vol. 101, pp. 79–85, 2014.
  • [3] K. Jousten, S. Pantazis, J. Buthig, R. Model, M. Wüest, J. Iwicki, “A standard to test the dynamics of vacuum gauges in the millisecond range,” Vacuum, vol. 100, pp. 14–17, 2014.
  • [4] S. Pantazis, D. Valougeorgis, “Rarefied gas flow through a cylindrical tube due to a small pressure difference,” European Journal of Mechanics, B/Fluids, vol. 38, pp. 114–127, Mar. 2013.
  • [5] S. Varoutis, C. Day, F. Sharipov, “Rarefied gas flow through channels of finite length at various pressure ratios,” Vacuum, vol. 86, no. 12, pp. 1952–1959, Jul. 2012.
  • [6] A. A. Alexeenko, D. A. Levin, S. F. Gimelshein, M. S. Ivanov, A. D. Ketsdever, “Numerical and experimental study of orifice flow in the transitional regime,” 35th AIAA Thermophysics Conference, 2001.
  • [7] G. A. Bird, “Molecular gas dynamics and the direct simulation of gas flows,” Oxford: Clarendon Press, 1994.
  • [8] I. Kandemir, “A multicell molecular dynamics method [Ph.D. thesis],” Case Western Reserve University, Cleveland, Ohio, USA, 1999.
  • [9] I. Greber, C. Sleeter, I. Kandemir, “Molecular dynamics simulation of unsteady diffusion,” in AIP Conference Proceedings, Aug. 2001, vol. 585, pp. 396–400.
  • [10] V. R. Akkaya, I. Kandemir, “Event-driven molecular dynamics simulation of hard-sphere gas flows in microchannels,” Mathematical Problems in Engineering, vol. 2015, 2015.
  • [11] B. J. Alder, T. E. Wainwright, “Phase transition for a hard sphere system,” The Journal of Chemical Physics, vol. 27, no. 5. pp. 1208–1209, 1957.
  • [12] D. C. Rapaport, “The event scheduling problem in molecular dynamic simulation,” Journal of Computational Physics, vol. 34, no. 2, pp. 184–201, 1980.
  • [13] A. Donev, A. L. Garcia, B. J. Alder, “Stochastic Event-Driven Molecular Dynamics,” Journal of Computational Physics, vol. 227, no. 4, pp. 2644–2665, Feb. 2008.
  • [14] M. N. Bannerman, R. Sargant, L. Lue, “DynamO: A free O(N) general event-driven molecular dynamics simulator,” Journal of Computational Chemistry, vol. 32, no. 15, pp. 3329–3338, Nov. 2011.
  • [15] G. A. Bird, “Molecular Gas Dynamics and the Direct Simulation of Gas Flows, ” Oxford: Clarendon Press, 1994.
  • [16] G. D. Danilatos, “Direct simulation Monte Carlo study of orifice flow,” in AIP Conference Proceedings, Aug. 2001, vol. 585, pp. 924–932.
  • [17] F. Sharipov, “Rarefied Gas Flow Through an Orifice at Finite Pressure Ratio,” in AIP Conference Proceedings, Jun. 2003, vol. 663, pp. 1049–1056.
  • [18] F. Sharipov, “Numerical simulation of rarefied gas flow through a thin orifice,” Journal of Fluid Mechanics, vol. 518, pp. 35–60, Nov. 2004.
  • [19] M. Wang, Z. Li, “Simulations for gas flows in microgeometries using the direct simulation Monte Carlo method,” International Journal of Heat and Fluid Flow, vol. 25, no. 6, pp. 975–985, Dec. 2004.
  • [20] F. Sharipov, J. L. Strapasson, “Ab initio simulation of rarefied gas flow through a thin orifice,” Vacuum, vol. 109, pp. 246–252, 2014.
  • [21] I. A. Graur, A. P. Polikarpov, F. Sharipov, “Numerical modelling of rarefied gas flow through a slit at arbitrary pressure ratio based on the kinetic equation,” Zeitschrift fur Angewandte Mathematik und Physik, vol. 63, no. 3, pp. 503–520, Jun. 2012.
  • [22] A. R. Rahmati, R. Ehsani, “Simulation of Micro-Channel and Micro-Orifice Flow Using Lattice Boltzmann Method with Langmuir Slip Model,” Nano Micro Scales, vol. 5, no. 1, pp. 1–8, 2017.
  • [23] J. Zhang, “Lattice Boltzmann method for microfluidics: Models and applications,” Microfluidics and Nanofluidics, vol. 10, no. 1. Springer Verlag, pp. 1–28, Jan. 01, 2011.
  • [24] S. Misdanitis, S. Pantazis, D. Valougeorgis, “Pressure driven rarefied gas flow through a slit and an orifice,” Vacuum, vol. 86, no. 11, pp. 1701–1708, May 2012.
  • [25] P. L. Bhatnagarp, E. P. Gross, A. M. Krook, “Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems~,” 1954.
  • [26] S. F. Gimelshein, G. N. Markelov, T. C. Lilly, N. P. Selden, A. D. Ketsdever, “Experimental and numerical modeling of rarefied gas flows through orifices and short tubes,” in AIP Conference Proceedings, May 2005, vol. 762, pp. 437–443.
  • [27] C. T. Lilly, F. S. Gimelshein, D. A. Ketsdever, N. G. Markelov, “Measurements and computations of mass flow and momentum flux through short tubes in rarefied gases,” Physics of Fluids, vol. 18, no. 9, 2006.
  • [28] J. Lindström, J. Bejhed, J. Nordström, “Measurements and numerical modelling of orifice flow in microchannels,” 41st AIAA Thermophysics Conference, 2009.
  • [29] F. Sharipov, “Transient flow of rarefied gas through an orifice,” Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, vol. 30, no. 2, p. 021602, Mar. 2012.
  • [30] M. T. Ho, I. Graur, “Numerical study of unsteady rarefied gas flow through an orifice,” Vacuum, vol. 109, pp. 253–265, 2014.
  • [31] A. L. Garcia, W. Wagner, “Generation of the Maxwellian inflow distribution,” Journal of Computational Physics, vol. 217, no. 2, pp. 693–708, Sep. 2006.
  • [32] G. Paul, “A Complexity O(1) priority queue for event driven molecular dynamics simulations,” Journal of Computational Physics, vol. 221, no. 2, pp. 615–625, Feb. 2007.
  • [33] M. Marín, P. Cordero, “An empirical assessment of priority queues in event-driven molecular dynamics simulation,” Computer Physics Communications, vol. 92, no. 2–3, pp. 214–224, 1995.
  • [34] W. W. Liou, Y. C. Fang, “Implicit boundary conditions for direct simulation Monte Carlo method in MEMS flow predictions,” CMES - Computer Modeling in Engineering and Sciences, 2000.
  • [35] M. Koc, I. Kandemir, V. R. Akkaya, “An Investigation of Transition Flow in Porous Media by Event Driven Molecular Dynamics Simulation,” Journal of Applied Fluid Mechanics, vol. 14, no. 1, pp. 23–36, 2020.
  • [36] S. Varoutis, O. Sazhin, D. Valougeorgis, and F. Sharipov, “Rarefied gas flow into vacuum through a short tube,” 51st IUVSTA Workshop on Modern Problems and Capability of Vacuum Gas Dynamics.
  • [37] F. Sharipov, D. V. Kozak, “Rarefied gas flow through a thin slit at an arbitrary pressure ratio,” European Journal of Mechanics, B/Fluids, vol. 30, no. 5, pp. 543–549, Sep. 2011.

Transition Gas Flow Between Two Parallel Plates with a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation

Yıl 2022, Cilt: 26 Sayı: 4, 720 - 744, 31.08.2022

Mustafa Koç İlyas Kandemir Volkan Ramazan Akkaya

https://doi.org/10.16984/saufenbilder.1081717

Öz

In this study, pressure-driven flow through a slit-type obstacle with various length (L) and height (H) placed in between two parallel plates was investigated by Event Driven Molecular Dynamics (EDMD) simulation. Mach number, temperature and pressure distributions were obtained along the channel in the transition regime. The change in these macroscopic properties and flow rate were examined for different cases created by changing Knudsen number (Kn) of the gas, the geometry of the slit and the outlet/inlet pressure ratio of the flow. Collision of gas molecules with plates and the obstacle were modeled with diffuse reflection boundary condition. The flow rate showed a sudden change in the transition regime and significant differences in the molecular regime depending on the pressure ratio. Except for the Kn, H and L dimensions were found to be effective in Mach disc formation. Pressure drops at the exit of the slit were shaped differently in normalized pressure profiles depending on Kn, H and L dimensions. In addition, the structure of the vortices formed at the entrance and exit of the slit varies depending on Kn. Some of the results obtained were confirmed to be consistent with the similar studies in the literature.

Anahtar Kelimeler

Event Driven Molecular Dynamic Simulation Knudsen Number Slit Flow Mach Discs Transition Regime Vorticity

Kaynakça

  • [1] P. J. Abbott, Z. J. Jabour, “Vacuum technology considerations for mass metrology,” Journal of Research of the National Institute of Standards and Technology, vol. 116, no. 4, pp. 689–702, 2011.
  • [2] A. P. Polikarpov, I. Graur, “Unsteady rarefied gas flow through a slit,” Vacuum, vol. 101, pp. 79–85, 2014.
  • [3] K. Jousten, S. Pantazis, J. Buthig, R. Model, M. Wüest, J. Iwicki, “A standard to test the dynamics of vacuum gauges in the millisecond range,” Vacuum, vol. 100, pp. 14–17, 2014.
  • [4] S. Pantazis, D. Valougeorgis, “Rarefied gas flow through a cylindrical tube due to a small pressure difference,” European Journal of Mechanics, B/Fluids, vol. 38, pp. 114–127, Mar. 2013.
  • [5] S. Varoutis, C. Day, F. Sharipov, “Rarefied gas flow through channels of finite length at various pressure ratios,” Vacuum, vol. 86, no. 12, pp. 1952–1959, Jul. 2012.
  • [6] A. A. Alexeenko, D. A. Levin, S. F. Gimelshein, M. S. Ivanov, A. D. Ketsdever, “Numerical and experimental study of orifice flow in the transitional regime,” 35th AIAA Thermophysics Conference, 2001.
  • [7] G. A. Bird, “Molecular gas dynamics and the direct simulation of gas flows,” Oxford: Clarendon Press, 1994.
  • [8] I. Kandemir, “A multicell molecular dynamics method [Ph.D. thesis],” Case Western Reserve University, Cleveland, Ohio, USA, 1999.
  • [9] I. Greber, C. Sleeter, I. Kandemir, “Molecular dynamics simulation of unsteady diffusion,” in AIP Conference Proceedings, Aug. 2001, vol. 585, pp. 396–400.
  • [10] V. R. Akkaya, I. Kandemir, “Event-driven molecular dynamics simulation of hard-sphere gas flows in microchannels,” Mathematical Problems in Engineering, vol. 2015, 2015.
  • [11] B. J. Alder, T. E. Wainwright, “Phase transition for a hard sphere system,” The Journal of Chemical Physics, vol. 27, no. 5. pp. 1208–1209, 1957.
  • [12] D. C. Rapaport, “The event scheduling problem in molecular dynamic simulation,” Journal of Computational Physics, vol. 34, no. 2, pp. 184–201, 1980.
  • [13] A. Donev, A. L. Garcia, B. J. Alder, “Stochastic Event-Driven Molecular Dynamics,” Journal of Computational Physics, vol. 227, no. 4, pp. 2644–2665, Feb. 2008.
  • [14] M. N. Bannerman, R. Sargant, L. Lue, “DynamO: A free O(N) general event-driven molecular dynamics simulator,” Journal of Computational Chemistry, vol. 32, no. 15, pp. 3329–3338, Nov. 2011.
  • [15] G. A. Bird, “Molecular Gas Dynamics and the Direct Simulation of Gas Flows, ” Oxford: Clarendon Press, 1994.
  • [16] G. D. Danilatos, “Direct simulation Monte Carlo study of orifice flow,” in AIP Conference Proceedings, Aug. 2001, vol. 585, pp. 924–932.
  • [17] F. Sharipov, “Rarefied Gas Flow Through an Orifice at Finite Pressure Ratio,” in AIP Conference Proceedings, Jun. 2003, vol. 663, pp. 1049–1056.
  • [18] F. Sharipov, “Numerical simulation of rarefied gas flow through a thin orifice,” Journal of Fluid Mechanics, vol. 518, pp. 35–60, Nov. 2004.
  • [19] M. Wang, Z. Li, “Simulations for gas flows in microgeometries using the direct simulation Monte Carlo method,” International Journal of Heat and Fluid Flow, vol. 25, no. 6, pp. 975–985, Dec. 2004.
  • [20] F. Sharipov, J. L. Strapasson, “Ab initio simulation of rarefied gas flow through a thin orifice,” Vacuum, vol. 109, pp. 246–252, 2014.
  • [21] I. A. Graur, A. P. Polikarpov, F. Sharipov, “Numerical modelling of rarefied gas flow through a slit at arbitrary pressure ratio based on the kinetic equation,” Zeitschrift fur Angewandte Mathematik und Physik, vol. 63, no. 3, pp. 503–520, Jun. 2012.
  • [22] A. R. Rahmati, R. Ehsani, “Simulation of Micro-Channel and Micro-Orifice Flow Using Lattice Boltzmann Method with Langmuir Slip Model,” Nano Micro Scales, vol. 5, no. 1, pp. 1–8, 2017.
  • [23] J. Zhang, “Lattice Boltzmann method for microfluidics: Models and applications,” Microfluidics and Nanofluidics, vol. 10, no. 1. Springer Verlag, pp. 1–28, Jan. 01, 2011.
  • [24] S. Misdanitis, S. Pantazis, D. Valougeorgis, “Pressure driven rarefied gas flow through a slit and an orifice,” Vacuum, vol. 86, no. 11, pp. 1701–1708, May 2012.
  • [25] P. L. Bhatnagarp, E. P. Gross, A. M. Krook, “Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems~,” 1954.
  • [26] S. F. Gimelshein, G. N. Markelov, T. C. Lilly, N. P. Selden, A. D. Ketsdever, “Experimental and numerical modeling of rarefied gas flows through orifices and short tubes,” in AIP Conference Proceedings, May 2005, vol. 762, pp. 437–443.
  • [27] C. T. Lilly, F. S. Gimelshein, D. A. Ketsdever, N. G. Markelov, “Measurements and computations of mass flow and momentum flux through short tubes in rarefied gases,” Physics of Fluids, vol. 18, no. 9, 2006.
  • [28] J. Lindström, J. Bejhed, J. Nordström, “Measurements and numerical modelling of orifice flow in microchannels,” 41st AIAA Thermophysics Conference, 2009.
  • [29] F. Sharipov, “Transient flow of rarefied gas through an orifice,” Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, vol. 30, no. 2, p. 021602, Mar. 2012.
  • [30] M. T. Ho, I. Graur, “Numerical study of unsteady rarefied gas flow through an orifice,” Vacuum, vol. 109, pp. 253–265, 2014.
  • [31] A. L. Garcia, W. Wagner, “Generation of the Maxwellian inflow distribution,” Journal of Computational Physics, vol. 217, no. 2, pp. 693–708, Sep. 2006.
  • [32] G. Paul, “A Complexity O(1) priority queue for event driven molecular dynamics simulations,” Journal of Computational Physics, vol. 221, no. 2, pp. 615–625, Feb. 2007.
  • [33] M. Marín, P. Cordero, “An empirical assessment of priority queues in event-driven molecular dynamics simulation,” Computer Physics Communications, vol. 92, no. 2–3, pp. 214–224, 1995.
  • [34] W. W. Liou, Y. C. Fang, “Implicit boundary conditions for direct simulation Monte Carlo method in MEMS flow predictions,” CMES - Computer Modeling in Engineering and Sciences, 2000.
  • [35] M. Koc, I. Kandemir, V. R. Akkaya, “An Investigation of Transition Flow in Porous Media by Event Driven Molecular Dynamics Simulation,” Journal of Applied Fluid Mechanics, vol. 14, no. 1, pp. 23–36, 2020.
  • [36] S. Varoutis, O. Sazhin, D. Valougeorgis, and F. Sharipov, “Rarefied gas flow into vacuum through a short tube,” 51st IUVSTA Workshop on Modern Problems and Capability of Vacuum Gas Dynamics.
  • [37] F. Sharipov, D. V. Kozak, “Rarefied gas flow through a thin slit at an arbitrary pressure ratio,” European Journal of Mechanics, B/Fluids, vol. 30, no. 5, pp. 543–549, Sep. 2011.
Toplam 37 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Makine Mühendisliği
Bölüm Araştırma Makalesi
Yazarlar

Mustafa Koç 0000-0002-5417-2604

İlyas Kandemir

Volkan Ramazan Akkaya 0000-0002-5052-8554

Yayımlanma Tarihi 31 Ağustos 2022
Gönderilme Tarihi 2 Mart 2022
Kabul Tarihi 1 Haziran 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 26 Sayı: 4

Kaynak Göster

APA Koç, M., Kandemir, İ., & Akkaya, V. R. (2022). Transition Gas Flow Between Two Parallel Plates with a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation. Sakarya University Journal of Science, 26(4), 720-744. https://doi.org/10.16984/saufenbilder.1081717
AMA Koç M, Kandemir İ, Akkaya VR. Transition Gas Flow Between Two Parallel Plates with a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation. SAUJS. Ağustos 2022;26(4):720-744. doi:10.16984/saufenbilder.1081717
Chicago Koç, Mustafa, İlyas Kandemir, ve Volkan Ramazan Akkaya. “Transition Gas Flow Between Two Parallel Plates With a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation”. Sakarya University Journal of Science 26, sy. 4 (Ağustos 2022): 720-44. https://doi.org/10.16984/saufenbilder.1081717.
EndNote Koç M, Kandemir İ, Akkaya VR (01 Ağustos 2022) Transition Gas Flow Between Two Parallel Plates with a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation. Sakarya University Journal of Science 26 4 720–744.
IEEE M. Koç, İ. Kandemir, ve V. R. Akkaya, “Transition Gas Flow Between Two Parallel Plates with a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation”, SAUJS, c. 26, sy. 4, ss. 720–744, 2022, doi: 10.16984/saufenbilder.1081717.
ISNAD Koç, Mustafa vd. “Transition Gas Flow Between Two Parallel Plates With a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation”. Sakarya University Journal of Science 26/4 (Ağustos 2022), 720-744. https://doi.org/10.16984/saufenbilder.1081717.
JAMA Koç M, Kandemir İ, Akkaya VR. Transition Gas Flow Between Two Parallel Plates with a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation. SAUJS. 2022;26:720–744.
MLA Koç, Mustafa vd. “Transition Gas Flow Between Two Parallel Plates With a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation”. Sakarya University Journal of Science, c. 26, sy. 4, 2022, ss. 720-44, doi:10.16984/saufenbilder.1081717.
Vancouver Koç M, Kandemir İ, Akkaya VR. Transition Gas Flow Between Two Parallel Plates with a Slit-Type Obstacle of Various Geometry by Event Driven Molecular Dynamics Simulation. SAUJS. 2022;26(4):720-44.
 Kapak Resmi İndir

30930  This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.