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NUMERICAL STUDY OF FLOW STRUCTURES WITHIN DIFFERENT CAVITIES USING LARGE EDDY SIMULATION

Year 2016, Volume: 1 Issue: 3, 59 - 78, 01.08.2016

Abstract

Large eddy simulation using a classic Smagorinsky sub-grid scale is applied for predicting the vortical flow structures within cavities. Here, flow within three different cavities such as rectangular, semi-circular, and triangular shapes are studied in order to examine the shape effects on the flow behavior. The ratio of cavity length per cavity depth is L/D=2.0 for all cavity shapes. On the other hand, simulations are carried out at three different Reynolds numbers such as 103, 104, and 105 in order to understand the effects of Reynolds number on the wake structures within cavities. It is found that flow structures change as a function of Reynolds number and geometry of cavities. In addition, numerical predictions revealed that the rectangular cavity imposes a higher drag to fluid flow at Re=103 and 104 in comparison to semi-circular and triangular cavities. A pressure jump or kinetic energy reduction is realized for semi-circular cavity at Re=105. The present numerical results are in good agreement with previous data available in the literature

References

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  • Chiang, T. P., Sheu, W. H., & Hwang, R. R. (1998). Effect of Reynolds number on the eddy structure in a lid-driven cavity. International journal for numerical methods in fluids, 26(5), 557-579.
  • Chiang, T. P., & Sheu, W. H. (1997). Numerical prediction of eddy structure in a shear-driven cavity. Computational Mechanics, 20(4), 379-396.
  • Albensoeder, S., Kuhlmann, H. C., & Rath, H. J. (2001). Multiplicity of steady twodimensional flows in two-sided lid-driven cavities. Theoretical and Computational Fluid Dynamics, 14(4), 223-241.
  • Khanafer, K., & Vafai, K. (2002). Double-diffusive mixed convection in a lid-driven enclosure filled with a fluid-saturated porous medium. Numerical Heat Transfer: Part A: Applications, 42(5), 465-486.
  • Chen, C. L., & Cheng, C. H. (2004). Experimental and numerical study of mixed convection and flow pattern in a lid-driven arc-shape cavity. Heat and mass transfer, 41(1), 58-66.
  • Sun, K. H., Pyle, D. L., Baines, M. J., Hall-Taylor, N., & Fitt, A. D. (2006). Velocity profiles and frictional pressure drop for shear thinning materials in lid-driven cavities with fully developed axial flow. Chemical engineering science,61(14), 4697- 4706.
  • Sørensen, J. N., Naumov, I., & Mikkelsen, R. (2006). Experimental investigation of three-dimensional flow instabilities in a rotating lid-driven cavity. Experiments in fluids, 41(3), 425-440.
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  • Noor, D. Z., Kanna, P. R., & Chern, M. J. (2009). Flow and heat transfer in a driven square cavity with double-sided oscillating lids in anti-phase.International Journal of Heat and Mass Transfer, 52(13), 3009-3023.
  • Mercan, H., & Atalık, K. (2009). Vortex formation in lid-driven arc-shape cavity flows at high Reynolds numbers. European Journal of Mechanics-B/Fluids,28(1), 61-71.
  • Oueslati, F., Beya, B. B., & Lili, T. (2011). Aspect ratio effects on three-dimensional incompressible flow in a two-sided non-facing lid-driven parallelepiped cavity. Comptes Rendus Mecanique, 339(10), 655-665.
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  • Manca, O., Nardini, S., & Vafai, K. (2006). Experimental investigation of mixed convection in a channel with an open cavity. Experimental heat transfer, 19(1), 53-68.
  • Rauwoens, P., Vierendeels, J., & Merci, B. (2008). Numerical study of the flow in a three-dimensional thermally driven cavity. Journal of Computational and Applied Mathematics, 215(2), 538-546.
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  • Dos Santos, E. D., Piccoli, G. L., França, F. H. R., & Petry, A. P. (2011). Analysis of mixed convection in transient laminar and turbulent flows in driven cavities. International Journal of Heat and Mass Transfer, 54(21), 4585-4595.
  • Ozalp, C., Pinarbasi, A., & Sahin, B. (2010). Experimental measurement of flow past cavities of different shapes. Experimental Thermal and Fluid Science,34(5), 505-515.
  • Saqr, K. M., Aly, H. S., Kassem, H. I., Sies, M. M., & Wahid, M. A. (2010). Computations of shear driven vortex flow in a cylindrical cavity using a modified k-ε turbulence model. International Communications in Heat and Mass Transfer, 37(8), 1072-1077.
  • Saqr, K. M., Aly, H. S., Kassem, H. I., Sies, M. M., & Wahid, M. A. (2010, July). Large Eddy Simulation of shear-driven vortex flow in a cylindrical cavity. In Proceedings of the 2010 international conference on theoretical and applied mechanics, and 2010 international conference on Fluid mechanics and heat & mass transfer (pp. 84-87).
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  • Zhang, T., Shi, B., & Chai, Z. (2010). Lattice Boltzmann simulation of lid-driven flow in trapezoidal cavities. Computers & Fluids, 39(10), 1977-1989.
  • Peng, S. H., & Davidson, L. (2001). Large eddy simulation for turbulent buoyant flow in a confined cavity. International Journal of Heat and Fluid Flow, 22(3), 323-331.
  • Perumal, D. A., & Dass, A. K. (2011). Multiplicity of steady solutions in twodimensional lid-driven cavity flows by Lattice Boltzmann Method. Computers & Mathematics with Applications, 61(12), 3711-3721.
  • Chen, S., Liu, H., & Zheng, C. (2012). Numerical study of turbulent double-diffusive natural convection in a square cavity by LES-based lattice Boltzmann model. International Journal of Heat and Mass Transfer, 55(17), 4862-4870.
  • Lawson, S. J., & Barakos, G. N. (2011). Review of numerical simulations for highspeed, turbulent cavity flows. Progress in Aerospace Sciences, 47(3), 186-216.
  • Lawson, S. J., & Barakos, G. N. (2011). Review of numerical simulations for highspeed, turbulent cavity flows. Progress in Aerospace Sciences, 47(3), 186-216.
  • Salinas-Vazquez, M., Vicente, W., Martinez, E., & Barrios, E. (2011). Large eddy simulation of a confined square cavity with natural convection based on compressible flow equations. International Journal of Heat and Fluid Flow,32(5), 876- 888.
  • Goncalvès, E., & Decaix, J. (2012). Wall model and mesh influence study for partial cavities. European Journal of Mechanics-B/Fluids, 31, 12-29.
  • Hassanzadeh, R., Sahin, B., & Ozgoren, M. (2011). Numerical investigation of flow structures around a sphere. International Journal of Computational Fluid Dynamics, 25(10), 535-545. Krajnović, S., Ringqvist, P., Nakade, K., & Basara, B.
  • (2012). Large eddy simulation of the flow around a simplified train moving through a crosswind flow. Journal of Wind Engineering and Industrial Aerodynamics, 110, 86-99.
  • Smagorinsky, J. (1963). General circulation experiments with the primitive equations: I. the basic experiment*. Monthly weather review, 91(3), 99-164.
  • Deardorff, J. W. (1973). The use of subgrid transport equations in a three-dimensional model of atmospheric turbulence. Journal of Fluids Engineering,95(3), 429-438.
  • Patankar, S. (1980). Numerical heat transfer and fluid flow. CRC press
Year 2016, Volume: 1 Issue: 3, 59 - 78, 01.08.2016

Abstract

References

  • Chaing, T. P., Hwang, R. R., & Sheu, W. H. (1996). Finite volume analysis of spiral motion in a rectangular lid-driven cavity. International journal for numerical methods in fluids, 23(4), 325-346.
  • Chiang, T. P., Sheu, W. H., & Hwang, R. R. (1998). Effect of Reynolds number on the eddy structure in a lid-driven cavity. International journal for numerical methods in fluids, 26(5), 557-579.
  • Chiang, T. P., & Sheu, W. H. (1997). Numerical prediction of eddy structure in a shear-driven cavity. Computational Mechanics, 20(4), 379-396.
  • Albensoeder, S., Kuhlmann, H. C., & Rath, H. J. (2001). Multiplicity of steady twodimensional flows in two-sided lid-driven cavities. Theoretical and Computational Fluid Dynamics, 14(4), 223-241.
  • Khanafer, K., & Vafai, K. (2002). Double-diffusive mixed convection in a lid-driven enclosure filled with a fluid-saturated porous medium. Numerical Heat Transfer: Part A: Applications, 42(5), 465-486.
  • Chen, C. L., & Cheng, C. H. (2004). Experimental and numerical study of mixed convection and flow pattern in a lid-driven arc-shape cavity. Heat and mass transfer, 41(1), 58-66.
  • Sun, K. H., Pyle, D. L., Baines, M. J., Hall-Taylor, N., & Fitt, A. D. (2006). Velocity profiles and frictional pressure drop for shear thinning materials in lid-driven cavities with fully developed axial flow. Chemical engineering science,61(14), 4697- 4706.
  • Sørensen, J. N., Naumov, I., & Mikkelsen, R. (2006). Experimental investigation of three-dimensional flow instabilities in a rotating lid-driven cavity. Experiments in fluids, 41(3), 425-440.
  • Bouffanais, R., Deville, M. O., Fischer, P. F., Leriche, E., & Weill, D. (2006). Largeeddy simulation of the lid-driven cubic cavity flow by the spectral element method. Journal of Scientific Computing, 27(1), 151-162.
  • Noor, D. Z., Kanna, P. R., & Chern, M. J. (2009). Flow and heat transfer in a driven square cavity with double-sided oscillating lids in anti-phase.International Journal of Heat and Mass Transfer, 52(13), 3009-3023.
  • Mercan, H., & Atalık, K. (2009). Vortex formation in lid-driven arc-shape cavity flows at high Reynolds numbers. European Journal of Mechanics-B/Fluids,28(1), 61-71.
  • Oueslati, F., Beya, B. B., & Lili, T. (2011). Aspect ratio effects on three-dimensional incompressible flow in a two-sided non-facing lid-driven parallelepiped cavity. Comptes Rendus Mecanique, 339(10), 655-665.
  • Haque, S., Lashgari, I., Giannetti, F., & Brandt, L. (2012). Stability of fluids with shear-dependent viscosity in the lid-driven cavity. Journal of Non-Newtonian Fluid Mechanics, 173, 49-61.
  • Manca, O., Nardini, S., & Vafai, K. (2006). Experimental investigation of mixed convection in a channel with an open cavity. Experimental heat transfer, 19(1), 53-68.
  • Rauwoens, P., Vierendeels, J., & Merci, B. (2008). Numerical study of the flow in a three-dimensional thermally driven cavity. Journal of Computational and Applied Mathematics, 215(2), 538-546.
  • John, B., Gu, X. J., & Emerson, D. R. (2010). Investigation of heat and mass transfer in a lid-driven cavity under nonequilibrium flow conditions. Numerical Heat Transfer, Part B: Fundamentals, 58(5), 287-303.
  • Dos Santos, E. D., Piccoli, G. L., França, F. H. R., & Petry, A. P. (2011). Analysis of mixed convection in transient laminar and turbulent flows in driven cavities. International Journal of Heat and Mass Transfer, 54(21), 4585-4595.
  • Ozalp, C., Pinarbasi, A., & Sahin, B. (2010). Experimental measurement of flow past cavities of different shapes. Experimental Thermal and Fluid Science,34(5), 505-515.
  • Saqr, K. M., Aly, H. S., Kassem, H. I., Sies, M. M., & Wahid, M. A. (2010). Computations of shear driven vortex flow in a cylindrical cavity using a modified k-ε turbulence model. International Communications in Heat and Mass Transfer, 37(8), 1072-1077.
  • Saqr, K. M., Aly, H. S., Kassem, H. I., Sies, M. M., & Wahid, M. A. (2010, July). Large Eddy Simulation of shear-driven vortex flow in a cylindrical cavity. In Proceedings of the 2010 international conference on theoretical and applied mechanics, and 2010 international conference on Fluid mechanics and heat & mass transfer (pp. 84-87).
  • World Scientific and Engineering Academy and Society (WSEAS).
  • Ryu, Y. H., & Baik, J. J. (2009). Flow and dispersion in an urban cubical cavity.Atmospheric Environment, 43(10), 1721-1729.
  • Zhang, T., Shi, B., & Chai, Z. (2010). Lattice Boltzmann simulation of lid-driven flow in trapezoidal cavities. Computers & Fluids, 39(10), 1977-1989.
  • Peng, S. H., & Davidson, L. (2001). Large eddy simulation for turbulent buoyant flow in a confined cavity. International Journal of Heat and Fluid Flow, 22(3), 323-331.
  • Perumal, D. A., & Dass, A. K. (2011). Multiplicity of steady solutions in twodimensional lid-driven cavity flows by Lattice Boltzmann Method. Computers & Mathematics with Applications, 61(12), 3711-3721.
  • Chen, S., Liu, H., & Zheng, C. (2012). Numerical study of turbulent double-diffusive natural convection in a square cavity by LES-based lattice Boltzmann model. International Journal of Heat and Mass Transfer, 55(17), 4862-4870.
  • Lawson, S. J., & Barakos, G. N. (2011). Review of numerical simulations for highspeed, turbulent cavity flows. Progress in Aerospace Sciences, 47(3), 186-216.
  • Lawson, S. J., & Barakos, G. N. (2011). Review of numerical simulations for highspeed, turbulent cavity flows. Progress in Aerospace Sciences, 47(3), 186-216.
  • Salinas-Vazquez, M., Vicente, W., Martinez, E., & Barrios, E. (2011). Large eddy simulation of a confined square cavity with natural convection based on compressible flow equations. International Journal of Heat and Fluid Flow,32(5), 876- 888.
  • Goncalvès, E., & Decaix, J. (2012). Wall model and mesh influence study for partial cavities. European Journal of Mechanics-B/Fluids, 31, 12-29.
  • Hassanzadeh, R., Sahin, B., & Ozgoren, M. (2011). Numerical investigation of flow structures around a sphere. International Journal of Computational Fluid Dynamics, 25(10), 535-545. Krajnović, S., Ringqvist, P., Nakade, K., & Basara, B.
  • (2012). Large eddy simulation of the flow around a simplified train moving through a crosswind flow. Journal of Wind Engineering and Industrial Aerodynamics, 110, 86-99.
  • Smagorinsky, J. (1963). General circulation experiments with the primitive equations: I. the basic experiment*. Monthly weather review, 91(3), 99-164.
  • Deardorff, J. W. (1973). The use of subgrid transport equations in a three-dimensional model of atmospheric turbulence. Journal of Fluids Engineering,95(3), 429-438.
  • Patankar, S. (1980). Numerical heat transfer and fluid flow. CRC press
There are 35 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Rahim Hassanzadeh This is me

Nehir Tokgoz This is me

Besir Sahin This is me

Publication Date August 1, 2016
Published in Issue Year 2016 Volume: 1 Issue: 3

Cite

APA Hassanzadeh, R., Tokgoz, N., & Sahin, B. (2016). NUMERICAL STUDY OF FLOW STRUCTURES WITHIN DIFFERENT CAVITIES USING LARGE EDDY SIMULATION. The International Journal of Energy and Engineering Sciences, 1(3), 59-78.

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