Sayıdan Geri Çekildi

Geri Çekildi: 2D BACKWARD FACING STEP FLOW SIMULATION BY FINITE DIFFERENCE METHOD

Yıl 2023, Sayı: 23, 66 - 79, 31.07.2023

Geri Çekme Notu

Yazarın talebi üzerine makale geri çekilmiştir.

Öz

In the current study, a backward-facing step flow (BFS) by finite difference discretization is solved in 2D Cartesian coordinate system. The governing equations of the problem are the incompressible Navier-Stokes equations and the continuity equation. The no-slip boundary conditions are applied using ghost cells within the solid domain. The Dirichlet and Neumann boundary conditions are implemented at the inlet and outlet of the channel, respectively. MAC (Marker and Cell) method is utilized as a numerical scheme to solve the flow. The problem is considered as a Stokes flow (Re=0). Results show good agreement with the data that is calculated by the commercial software. The code written in Matlab is provided in the Appendix.

Kaynakça

  • [1] Armaly, B. F., Durst, F., Pereira, J. C. F., & Schönung, B. (1983). Experimental and theoretical investigation of backward-facing step flow. Journal of fluid Mechanics, 127, 473-496.
  • [2] Tihon, J., Pěnkavová, V., Havlica, J., & Šimčík, M. (2012). The transitional backward-facing step flow in a water channel with variable expansion geometry. Experimental Thermal and Fluid Science, 40, 112-125.
  • [3] Biswas, G., Breuer, M., & Durst, F. (2004). Backward-facing step flows for various expansion ratios at low and moderate Reynolds numbers. J. Fluids Eng., 126(3), 362-374.
  • [4] Chen, L., Asai, K., Nonomura, T., Xi, G., & Liu, T. (2018). A review of Backward-Facing Step (BFS) flow mechanisms, heat transfer and control. Thermal Science and Engineering Progress, 6, 194-216.
  • [5] Pont-Vílchez, A., Trias, F. X., Gorobets, A., & Oliva, A. (2019). Direct numerical simulation of backward-facing step flow at Re=395 and expansion ratio 2. Journal of Fluid Mechanics, 863, 341-363.
  • [6] Erturk, E. (2008). Numerical solutions of 2-D steady incompressible flow over a backward-facing step, Part I: High Reynolds number solutions. Computers & Fluids, 37(6), 633-655.
  • [7] Harlow, F. H., & Welch, J. E. (1965). Numerical calculation of time‐dependent viscous incompressible flow of fluid with free surface. The physics of fluids, 8(12), 2182-2189.
  • [8] McKee, S., Tomé, M. F., Ferreira, V. G., Cuminato, J. A., Castelo, A., Sousa, F. S., & Mangiavacchi, N. (2008). The MAC method. Computers & Fluids, 37(8), 907-930.

Geri Çekildi: 2D BACKWARD FACING STEP FLOW SIMULATION BY FINITE DIFFERENCE METHOD

Yıl 2023, Sayı: 23, 66 - 79, 31.07.2023

Geri Çekme Notu

Öz

In the current study, a backward-facing step flow (BFS) by finite difference discretization is solved in 2D Cartesian coordinate system. The governing equations of the problem are the incompressible Navier-Stokes equations and the continuity equation. The no-slip boundary conditions are applied using ghost cells within the solid domain. The Dirichlet and Neumann boundary conditions are implemented at the inlet and outlet of the channel, respectively. MAC (Marker and Cell) method is utilized as a numerical scheme to solve the flow. The problem is considered as a Stokes flow (Re=0). Results show good agreement with the data that is calculated by the commercial software. The code written in Matlab is provided in the Appendix.

Kaynakça

  • [1] Armaly, B. F., Durst, F., Pereira, J. C. F., & Schönung, B. (1983). Experimental and theoretical investigation of backward-facing step flow. Journal of fluid Mechanics, 127, 473-496.
  • [2] Tihon, J., Pěnkavová, V., Havlica, J., & Šimčík, M. (2012). The transitional backward-facing step flow in a water channel with variable expansion geometry. Experimental Thermal and Fluid Science, 40, 112-125.
  • [3] Biswas, G., Breuer, M., & Durst, F. (2004). Backward-facing step flows for various expansion ratios at low and moderate Reynolds numbers. J. Fluids Eng., 126(3), 362-374.
  • [4] Chen, L., Asai, K., Nonomura, T., Xi, G., & Liu, T. (2018). A review of Backward-Facing Step (BFS) flow mechanisms, heat transfer and control. Thermal Science and Engineering Progress, 6, 194-216.
  • [5] Pont-Vílchez, A., Trias, F. X., Gorobets, A., & Oliva, A. (2019). Direct numerical simulation of backward-facing step flow at Re=395 and expansion ratio 2. Journal of Fluid Mechanics, 863, 341-363.
  • [6] Erturk, E. (2008). Numerical solutions of 2-D steady incompressible flow over a backward-facing step, Part I: High Reynolds number solutions. Computers & Fluids, 37(6), 633-655.
  • [7] Harlow, F. H., & Welch, J. E. (1965). Numerical calculation of time‐dependent viscous incompressible flow of fluid with free surface. The physics of fluids, 8(12), 2182-2189.
  • [8] McKee, S., Tomé, M. F., Ferreira, V. G., Cuminato, J. A., Castelo, A., Sousa, F. S., & Mangiavacchi, N. (2008). The MAC method. Computers & Fluids, 37(8), 907-930.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Deniz Mühendisliği
Bölüm Araştırma Makaleleri
Yazarlar

Cihad Çelik 0000-0002-2335-0455

Bülent Danışman 0000-0001-6320-5351

Barış Barlas 0000-0002-5846-2369

Yayımlanma Tarihi 31 Temmuz 2023
Yayımlandığı Sayı Yıl 2023 Sayı: 23

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