Yıl: 2019 Cilt: 40 Sayı: 3 Sayfa Aralığı: 583 - 594 Metin Dili: İngilizce DOI: 10.17776/csj.569655 İndeks Tarihi: 29-01-2020

A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity

Öz:
The two-dimensional (2D) steady, incompressible, Stokes flow is considered in a T-shaped cavitywhich has the upper-lid moving in horizontal directions. A Galerkin finite element method is used to investigatea new eddy generation and flow bifurcation. The flow in a cavity is controlled by two parameters 1 h and 2hwhich are associated with the heights of the T-shaped domain. By varying 1h and 2h , the second eddyformation mechanism and the 12, hh control space diagram are obtained.
Anahtar Kelime:

Tek Kapağı Sürgülü T-Şeklindeki Kaviti İçerisindeki Girdap Oluşum Mekanizması

Öz:
Üst kapağı yatay yönde hareket eden T şeklindeki kaviti içerisindeki iki boyutlu (2D) durağan, sıkıştırılamaz, Stokes akış ele alındı. Yeni girdap oluşumunu ve akış çatallanmasını araştırmak için Galerkin sonlu elemanlar yöntemi kullanıldı. Kaviti içersindeki akış, T-şeklindeki bölgenin 1h ve 2h yükseklik parametreleri tarafından kotrol edilir. 1h ve 2h yüksekliklerinin değişmesiyle meydana gelen girdap oluşum mekanizması ve 1 2 , hh kontrol uzay diyagramı elde edildi.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
3
3
3
  • Shankar, P. N., The eddy structure in Stokes flow in a cavity, Journal of Fluid Mechanics, 250 (1993) 371–383.
  • Gaskell, P. H., Gürcan, F., Savage, M. D., Thompson, H. M., Stokes flow in a double-lid-driven cavity with free surface side walls, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 212(5) (1998) 387–403.
  • Gürcan, F., Gaskell, P. H., Savage, M. D., Wilson, M. C. T., Eddy genesis and transformation of Stokes flow in a double-lid driven cavity, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 217(3) (2003) 353–364.
  • Liu, C., Joseph, D., Stokes flow in wedge-shaped trenches, Journal of Fluid Mechanics, 80(3) (1977) 443-463.
  • R Schreiber, H.B Keller, Driven cavity flows by efficient numerical techniques, Journal of Computational Physics, 49(2) (1983) 310-333.
  • Erturk, E., Gokcol, O., Fine Grid Numerical Solutions of Triangular Cavity Flow, Applied Physics, 38(1) (2007) 97–105.
  • Deliceoğlu, A., Aydin, S. H. Topological flow structures in an L-shaped cavity with horizontal motion of the upper lid, Journal of Computational and Applied Mathematics, 259(PART B) (2014) 937–943.
  • Gürcan, F., Bilgil, H., Bifurcations and eddy genesis of Stokes flow within a sectorial cavity, European Journal of Mechanics, B/Fluids, 39 (2013) 42-51.
  • Brøns, M., Hartnack, J. N., Streamline topologies near simple degenerate critical points in two-dimensional flow away from boundaries, Physics of Fluids, 11(2) (1999) 314–324.
  • Gürcan, F., Deliceoğlu, A., Bakker, P. G., Streamline topologies near a non-simple degenerate critical point close to a stationary wall using normal forms, Journal of Fluid Mechanics, 539 (2005) 299–311.
  • Gürcan, F., Deliceoğlu, A., Streamline topologies near non-simple degenerate points in two-dimensional flows with double symmetry away from boundaries and an application, Physics of Fluids, 17(9) (2005) 1–7.
  • Hartnack, J. N., Streamlines topologies near a fixed wall using normal forms, Acta Mechanica, 75 (1999) 55–75.
  • Erturk, E., Corke, T. C. and Gökçöl, C., Numerical solutions of 2‐D steady incompressible driven cavity flow at high Reynolds numbers. Int. J. Numer. Meth. Fluids, 48 (2005) 747-774.
  • Botella, O., Peyret, R., Benchmark Spectral Results on the Lid Driven Cavity Flow, Computers and Fluids, 27(4) (1998) 421–433.
  • Driesen, CH, Kuerten, JGM and Streng, M., Low-Reynols-Number flow over partially covered cavities, J. Eng. Math., 34 (1998) 3-20.
  • Gaskell, PH, Savage, MD, Summers, JL and Thompson, HM., Stokes flow in closed, rectangular domains, Applied Mathematical Modelling, 22 (1998) 727-743.
  • Ghia, U, Ghia, KN and Shin, CT., High-Re solution for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comp. Physics, 48 (1982) 387-411.
  • Gürcan, F., Effect of the Reynolds number on streamline bifurcations in a double-lid-driven cavity with free surfaces, Computers and Fluids, 32 (2003) 1283-1298.
  • Gürcan, F., Flow bifurcations in rectangular, lid-driven, cavity flows. PhD. Thesis (1996), University of Leeds.
  • William D. McQuain, Calvin J. Ribbens, C.-Y. Wang, Layne T. Watson., Steady viscous flow in a trapezoidal cavity, Computers and Fluids, 23(4) (1994) 613-626.
  • Gaskell, P., Savage, M., Wilson, M., Stokes flow in a half-filled annulus between rotating coaxial cylinders, Journal of Fluid Mechanics, 337 (1997) 263-282.
  • Ribbens, C. J., Watson, L. T., Wang, C.-Y., Steady Viscous Flow in a Triangular Cavity, Journal of Computational Physics, 112(1) (1994) 173–181.
  • Gaskell, P.H., Thompson, H, Savage, M., A finite element analysis of steady viscous flow in triangular cavities, Proceedings of The Institution of Mechanical Engineers Part C-journal of Mechanical Engineering Science, 213 (1999) 263-276.
  • Gurcan, F., Bilgil, H., Bifurcations and eddy genesis of Stokes flow within a sectorial cavity PART II: Co-moving lids, European Journal of Mechanics- B/Fluids, 56 (2015) 42–51.
  • Bilgil, H., Gürcan, F., Effect of the Reynolds number on flow bifurcations and eddy genesis in a lid-driven sectorial cavity, Japan Journal of Industrial and Applied Mathematics, 33(2) (2016) 343–360.
  • Deliceoğlu, A., Aydin, S. H., Flow bifurcation and eddy genesis in an L-shaped cavity, Computers and Fluids, 73 (2013) 24-46.
  • E.B. Becker, G.F. Carey and J.T. Oden, Finite Elements, An introduction Vol. I. Prentice-Hall, 1981, New Jersey.
  • Aydın, S. H., The Finite Element Method Over a Simple Stabilizing Grid Applied to Fluid Flow Problems, PhD Thesis (2008).
APA ÇELİK E, Deliceoğlu A (2019). A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. , 583 - 594. 10.17776/csj.569655
Chicago ÇELİK Ebutalib,Deliceoğlu Ali A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. (2019): 583 - 594. 10.17776/csj.569655
MLA ÇELİK Ebutalib,Deliceoğlu Ali A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. , 2019, ss.583 - 594. 10.17776/csj.569655
AMA ÇELİK E,Deliceoğlu A A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. . 2019; 583 - 594. 10.17776/csj.569655
Vancouver ÇELİK E,Deliceoğlu A A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. . 2019; 583 - 594. 10.17776/csj.569655
IEEE ÇELİK E,Deliceoğlu A "A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity." , ss.583 - 594, 2019. 10.17776/csj.569655
ISNAD ÇELİK, Ebutalib - Deliceoğlu, Ali. "A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity". (2019), 583-594. https://doi.org/10.17776/csj.569655
APA ÇELİK E, Deliceoğlu A (2019). A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. Cumhuriyet Science Journal, 40(3), 583 - 594. 10.17776/csj.569655
Chicago ÇELİK Ebutalib,Deliceoğlu Ali A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. Cumhuriyet Science Journal 40, no.3 (2019): 583 - 594. 10.17776/csj.569655
MLA ÇELİK Ebutalib,Deliceoğlu Ali A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. Cumhuriyet Science Journal, vol.40, no.3, 2019, ss.583 - 594. 10.17776/csj.569655
AMA ÇELİK E,Deliceoğlu A A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. Cumhuriyet Science Journal. 2019; 40(3): 583 - 594. 10.17776/csj.569655
Vancouver ÇELİK E,Deliceoğlu A A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity. Cumhuriyet Science Journal. 2019; 40(3): 583 - 594. 10.17776/csj.569655
IEEE ÇELİK E,Deliceoğlu A "A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity." Cumhuriyet Science Journal, 40, ss.583 - 594, 2019. 10.17776/csj.569655
ISNAD ÇELİK, Ebutalib - Deliceoğlu, Ali. "A Mechanism of Eddy Generation in A Single Lid-Driven T-Shaped Cavity". Cumhuriyet Science Journal 40/3 (2019), 583-594. https://doi.org/10.17776/csj.569655