Application of Extended Eddy-viscosity and Elliptic-Relaxation Approaches to Turbulent Convective Flow in a Partially Divided Cavity

Authors

  • Gunarjo Suryanto Budi Department of Physics Education, University of Palangka Raya, Palangka Raya, Central Kalimantan, Indonesia
  • Sasa Kenjeres Department of Chemical Engineering, Faculty of Applied Sciences, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands

DOI:

https://doi.org/10.37934/cfdl.16.10.111

Keywords:

Buoyancy, convective flow, eddy-viscosity, elliptic relaxation, algebraic approach

Abstract

The paper reports on the numerical turbulence model in predicting mass, momentum and heat transfer in a partially divided cavity heated from the side using buoyancy-extended eddy-viscosity and elliptic relaxation approach with the algebraic expressions for the Reynold stress tensor and turbulent heat flux vector. The CDS (central differencing scheme) and LUDS (linear upwind differencing scheme) were used as the discretization method and the governing equations were solved using the finite volume method and Navier-Stokes solver. Validation of the model has been carried out by experimental data of convective flow in the cavity as well as by numerical data DNS (direct numerical simulation). The model agrees very well with the experiment and DNS and it is also able to demonstrate the performance which is comparable to that of the previous advanced second-moment closure model (SMC) in the literature. The results show that the model is suitable for use in simulations of the turbulent convective flow in a cavity with partition and it has the potential to be applied to more complex cavities and a wide range of turbulence levels.

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Author Biographies

Gunarjo Suryanto Budi, Department of Physics Education, University of Palangka Raya, Palangka Raya, Central Kalimantan, Indonesia

gunarjo.budi@chem.upr.ac.id

Sasa Kenjeres, Department of Chemical Engineering, Faculty of Applied Sciences, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands

S.Kenjeres@tudelft.nl

References

Gunarjo, S. B. "Contribution to advanced modeling of turbulent natural and mixed convection." Ph.D. Thesis Technische Univ., Delft (2003).

Mayeli, Peyman, and Gregory J. Sheard. "Buoyancy-driven flows beyond the Boussinesq approximation: A brief review." International Communications in Heat and Mass Transfer 125 (2021): 105316. https://doi.org/10.1016/j.icheatmasstransfer.2021.105316.

Ampofo, F. "Turbulent natural convection of air in a non-partitioned or partitioned cavity with differentially heated vertical and conducting horizontal walls." Experimental Thermal and Fluid Science 29, no. 2 (2005): 137-157.. https://doi.org/10.1016/j.expthermflusci.2004.02.005.

Dol, H. S., K. Hanjalić, and S. Kenjereš. "A comparative assessment of the second-moment differential and algebraic models in turbulent natural convection." International journal of heat and fluid flow 18, no. 1 (1997): 4-14. https://doi.org/10.1016/s0142-727x(96)00149-x.

Altaç, Zekeriya, and Nihal Uğurlubilek. "Assessment of turbulence models in natural convection from two-and three-dimensional rectangular enclosures." International Journal of Thermal Sciences 107 (2016): 237-246. https://doi.org/10.1016/j.ijthermalsci.2016.04.016.

Piña-Ortiz, A., J. F. Hinojosa, and V. M. Maytorena. "Test of turbulence models for natural convection in an open cubic tilted cavity." International Communications in Heat and Mass Transfer 57 (2014): 264-273. https://doi.org/10.1016/j.icheatmasstransfer.2014.08.011.

Karimpour, F., and S. K. Venayagamoorthy. "A simple turbulence model for stably stratified wall‐bounded flows." Journal of Geophysical Research: Oceans 119, no. 2 (2014): 870-880. https://doi.org/10.1002/2013jc009332

Lazeroms, W. M. J., Geert Brethouwer, Stefan Wallin, and A. V. Johansson. "An explicit algebraic Reynolds-stress and scalar-flux model for stably stratified flows." Journal of Fluid Mechanics 723 (2013): 91-125. https://doi.org/10.1017/jfm.2013.116

Ma, Haiteng, and Li He. "Large eddy simulation of natural convection heat transfer and fluid flow around a horizontal cylinder." International Journal of Thermal Sciences 162 (2021): 106789. https://doi.org/10.1016/j.ijthermalsci.2020.106789

Ortiz, Agustin Villa, Lilla Koloszar, and Philippe Planquart. "Large Eddy Simulations on a natural convection boundary layer at Pr= 0.71 and 0.025." Nuclear Engineering and Design 353 (2019): 110231. https://doi.org/10.1016/j.nucengdes.2019.110231

Jones, W. Peter, and Brian Edward Launder. "The prediction of laminarization with a two-equation model of turbulence." International journal of heat and mass transfer 15, no. 2 (1972): 301-314. https://doi.org/10.1016/0017-9310(72)90076-2

Durbin, Paul A. "Near-wall turbulence closure modeling without “damping functions”." Theoretical and computational fluid dynamics 3, no. 1 (1991): 1-13. https://doi.org/10.1007/bf00271513

Dehoux, Frederic, Yannick Lecocq, Sofiane Benhamadouche, Remi Manceau, and Laurent-Emmanuel Brizzi. "Algebraic modeling of the turbulent heat fluxes using the elliptic blending approach—application to forced and mixed convection regimes." Flow, turbulence and combustion 88 (2012): 77-100. ttps://doi.org/10.1007/s10494-011-9366-8

Das, Sandipan Kumar. "Elliptic relaxation model for stably stratified turbulence." International Journal of Heat and Fluid Flow 74 (2018): 173-186. https://doi.org/10.1016/j.ijheatfluidflow.2018.09.007

Das, Sandipan Kumar. "A Reynolds Stress model with a new elliptic relaxation procedure for stratified flows." International Journal of Heat and Fluid Flow 83 (2020): 108595. https://doi.org/10.1016/j.ijheatfluidflow.2020.108595

Kruger, Sunita, and Leon Pretorius. "The effect of vertical and horizontal partitions on natural convection in a heated enclosure." In Heat Transfer Summer Conference, vol. 55508, p. V004T13A004. American Society of Mechanical Engineers, 2013. https://doi.org/10.1115/ht2013-17439

Al-Krmah, Dhia Al-Deen HA, B. P. Huynh, and Nabil Jamil. "Effects on Natural-Convection Heat Transfer of a Partial Partition in a Cubic Enclosure." In Australasian Fluid Mechanics Conference. Australasian Fluid Mechanics Society, 2016.

AlAmiri, Abdalla, Khalil Khanafer, and Ioan Pop. "Buoyancy-induced flow and heat transfer in a partially divided square enclosure." International Journal of Heat and Mass Transfer 52, no. 15-16 (2009): 3818-3828. https://doi.org/10.1016/j.ijheatmasstransfer.2009.01.043

Ferziger, Joel H., and Milovan Peric. "Computational methods for fluid dynamics." (2002): 2002-430. https://doi.org/10.1007/978-3-642-56026-2

Kenjeres, Sasa. "Numerical modelling of complex buoyancy-driven flows." PhD Thesis Delft University of Technology (1998).

Kenjereš, Sasa, S. B. Gunarjo, and K. Hanjalić. "Contribution to elliptic relaxation modeling of turbulent natural and mixed convection." International Journal of Heat and Fluid Flow 26, no. 4 (2005): 569-586. https://doi.org/10.1016/j.ijheatfluidflow.2005.03.007

Versteegh, Theodorus Antonius Maria. "Numerical simulations of natural convection in a differantially heated, vertical channel." (1998).

Blay, D. "Confined turbulent mixed convection in the presence of horizontal buoyant wall jet." HTD Vol. 213, Fundamentals of Mixed Convection (1992).

Opstelten, Ivo Johannes. "Experimental study on transition characteristics of natural-convection flow." Ph. D. Thesis (1994).

Dol, Henry Simon, and K. Hanjalić. "Computational study of turbulent natural convection in a side-heated near-cubic enclosure at a high Rayleigh number." International Journal of Heat and Mass Transfer 44, no. 12 (2001): 2323-2344. https://doi.org/10.1016/s0017-9310(00)00271-4

Kenjeresˇ, S., K. Hanjalic, and S. B. Gunarjo. "A T-RANS/VLES approach to indoor climate simulations." In Fluids Engineering Division Summer Meeting, vol. 36150, pp. 947-955. 2002. https://doi.org/10.1115/fedsm2002-31400

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Published

2024-05-31

How to Cite

Gunarjo Suryanto Budi, & Sasa Kenjeres. (2024). Application of Extended Eddy-viscosity and Elliptic-Relaxation Approaches to Turbulent Convective Flow in a Partially Divided Cavity. CFD Letters, 16(10), 1–11. https://doi.org/10.37934/cfdl.16.10.111

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