Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 75, 2019 - Issue 9
176
Views
6
CrossRef citations to date
0
Altmetric
Articles

Accurate numerical simulation for non-Darcy double-diffusive mixed convection in a double lid-driven porous cavity using SEM

&
Pages 598-615 | Received 29 Oct 2018, Accepted 11 Apr 2019, Published online: 24 May 2019

References

  • S. Hussain, K. Mehmood, M. Sagheer, and M. Yamin, “Numerical simulation of double diffusive mixed convective nanofluid flow and entropy generation in a square porous enclosure,” Int. J. Heat Mass Tran, vol. 122, pp. 1283–1297, 2018.
  • S. Chen, B. Yang, and C. Zheng, “Simulation of double diffusive convection in fluid-saturated porous media by lattice Boltzmann method,” Int. J. Heat Mass Trans., vol. 108, pp. 1501–1510, 2017.
  • A. Khadiri, A. Amahmid, M. Hasnaoui, and A. Rtibi, “Soret effect on double-diffusive convection in a square porous cavity heated and salted from below,” Numer. Heat Tr. A-Appl., vol. 57, no. 11, pp. 848–868, 2010.
  • M. Karimi-Fard, M. C. Charrier-Mojtabi, and K. Vafai, “Non-Darcian effects on double-diffusive convection within a porous medium,” Numer. Heat Tr. A-Appl., vol. 31, no. 8, pp. 837–852, 1997.
  • F. Moukalled, and M. Darwish, “Double-diffusive natural convection in a porous rhombic annulus,” Numer. Heat Tr. A-Appl., vol. 64, no. 5, pp. 378–399, 2013.
  • Q. Shao, M. Fahs, A. Younes, and A. Makradi, “A high-accurate solution for Darcy-Brinkman double-diffusive convection in saturated porous media,” Numer. Heat Tr. B-Fundamen., vol. 69, no. 1, pp. 26–47, 2016.
  • A. Ababaei, M. Abbaszadeh, A. Arefmanesh, and A. J. Chamkha, “Numerical simulation of double-diffusive mixed convection and entropy generation in a lid-driven trapezoidal enclosure with a heat source,” Numer. Heat Tr. A-Appl., vol. 73, no. 10, pp. 702–720, 2018.
  • M. B. Uddin, and M. M. Rahman, “Hydromagnetic double-diffusive unsteady mixed convection in a trapezoidal enclosure due to uniform and nonuniform heating at the bottom side,” Numer. Heat Tr. A-Appl., vol. 68, no. 2, pp. 37–41, 2015.
  • K. Khanafer, and K. Vafai, “Double-diffusive mixed convection in a lid-driven enclosure filled with a fluid-saturated porous medium,” Numer. Heat Tr. A-Appl., vol. 42, no. 5, pp. 465–486, 2002.
  • S. Sivasankaran, M. A. Mansour, A. M. Rashad, and M. Bhuvaneswari, “MHD mixed convection of Cu-water nanofluid in a two-sided lid-driven porous cavity with a partial slip,” Numer. Heat Tr. A-Appl., vol. 70, no. 12, pp. 1356–1370, 2016.
  • C. G. Mohan, and A. Satheesh, “The numerical simulation of double-diffusive mixed convection flow in a lid-driven porous cavity with magnetohydrodynamic effect,” Arab. J. Sci. Eng., vol. 41, no. 5, pp. 1867–1882, 2016.
  • M. Siavashi, V. Bordbar, and P. Rahnama, “Heat transfer and entropy generation study of non-Darcy double-diffusive natural convection in inclined porous enclosures with different source configurations,” Appl. Therm. Eng., vol. 110, pp. 1462–1475, 2017.
  • P. A. K. Lam, and K. Arul Prakash, “A numerical study on natural convection and entropy generation in a porous enclosure with heat sources,” Int. J. Heat Mass Trans., vol. 69, pp. 390–407, 2014.
  • V. M. Job, and S. R. Gunakala, “Unsteady hydromagnetic mixed convection nanofluid flows through an L-shaped channel with a porous inner layer and heat-generating components,” Int. J. Heat Mass Trans., vol. 120, pp. 970–986, 2018.
  • M. Izadi, R. Mohebbi, D. Karimi, and M. A. Sheremet, “Numerical simulation of natural convection heat transfer inside a ⊥ shaped cavity filled by a MWCNT-Fe3O4/water hybrid nanofluids using LBM,” Chem. Eng. Process., vol. 125, pp. 56–66, 2018.
  • F. Amin, and A. Malek, “Spectral Fourier-Galerkin benchmark solution for natural convection in an inclined saturated porous medium,” Numer. Heat Trans. B-Fund., vol. 71, no. 4, pp. 372–395, 2017.
  • S. Chen, B. Li, and X. Tian, “Chebyshev collocation spectral domain decomposition method for coupled conductive and radiative heat transfer in a 3D L-shaped enclosure,” Numer. Heat Trans. B-Fund., vol. 70, no. 3, pp. 215–232, 2016.
  • Q. Shao, M. Fahs, A. Younes, A. Makradi, and T. Mara, “A new benchmark reference solution for double-diffusive convection in a heterogeneous porous medium,” Numer. Heat Trans. B-Fund., vol. 70, no. 5, pp. 373–392, 2016.
  • Y. Chen, B. Li, and J. Zhang, “Spectral collocation method for natural convection in a square porous cavity with local thermal equilibrium and non-equilibrium models,” Int. J. Heat Mass Trans., vol. 96, pp. 84–96, 2016.
  • J. Ma, Y. Sun, and B. Li, “Simulation of combined conductive, convective and radiative heat transfer in moving irregular porous fins by spectral element method,” Int. J. Therm. Sci., vol. 118, pp. 475–487, 2017.
  • Y. Wang, G. Qin, W. He, and Z. Bao, “Chebyshev spectral element method for natural convection in a porous cavity under local thermal non-equilibrium model,” Int. J. Heat Mass Trans., vol. 121, pp. 1055–1072, 2018.
  • D. L. Brown, R. Cortez, and M. L. Minion, “Accurate Projection Methods for the Incompressible Navier-Stokes Equations,” J. Comput. Phys., vol. 168, no. 2, pp. 464–499, 2001.
  • D. E. Stevens, S. T. Chan, and P. Gresho, “An approximate projection method for incompressible flow,” J. Comput. Phys., vol. 40, pp. 1303–1325, 2002.
  • Y. Maday, and A. T. Patera, “Spectral element methods for the incompressible Navier-Stokes equations,” in: State-of-the-Art-Surveys, Comput. Mech., ASME, New York, pp. 71–143, 1989.
  • E. M. Ronquist, “A domain decomposition solver for the steady Navier-Stokes equation,” in: Proc. 3rd Int. Conf. Spectr. High. Order Methods, Houston Journal of Mathematics, Houston, pp. 469–485, 1996.
  • S. A. Orszag, and L. C. Kells, “Transition to turbulence in plane Poiseuille and plane Couette flow,” J. Fluid Mech., vol. 96, no. 1, pp. 159–205, 1980.
  • G. E. Karniadakis, M. Israeli, and S. A. Orszag, “High-order splitting methods for the incompressible Navier-Stokes equations,” J. Comput. Phys., vol. 97, no. 2, pp. 414–443, 1991.
  • V. Prabhakar, and J. N. Reddy, “Spectral/hp penalty least-squares finite element formulation for the steady incompressible Navier-Stokes equations,” J. Comput. Phys., vol. 215, no. 1, pp. 274–297, 2006.
  • J. P. Pontaza, and J. N. Reddy, “Spectral/hp least-squares finite element formulation for the Navier-Stokes equations,” J. Comput. Phys., vol. 190, no. 2, pp. 523–549, 2003.
  • J. P. Pontaza, and J. N. Reddy, “Space-time coupled spectral/hp least-squares finite element formulation for the incompressible Navier-Stokes equations,” J. Comput. Phys., vol. 197, no. 2, pp. 418–459, 2004.
  • H. Mei et al., “Numerical simulation of crucible rotation in high-temperature solution growth method using a Fourier-Legendre spectral element method,” Int. J. Heat Mass Trans., vol. 64, pp. 882–891, 2013.
  • Y. Wang, and G. Qin, “An improved time-splitting method for simulating natural convection heat transfer in a square cavity by Legendre spectral element approximation,” Comput. Fluids, vol. 174, pp. 122–134, 2018.
  • S. Kimura, and A. Bejan, “The “Heatline” visualization of convective heat transfer,” J. Heat Trans., vol. 105, no. 4, pp. 916–919, 1983.
  • O. V. Trevisan, and A. Bejan, “Combined heat and mass transfer by natural convection in a vertical enclosure,” J. Heat Trans., vol. 109, no. 1, pp. 104–112, 1987.
  • V. A. F. Costa, “Unification of the streamline, heatline and massline methods for the visualization of two-dimensional transport phenomena,” Int. J. Heat Mass Trans., vol. 42, no. 1, pp. 27–33, 1999.
  • V. A. F. Costa, “Unified streamline, heatline and massline methods for the visualization of two-dimensional heat and mass transfer in anisotropic media,” Int. J. Heat Mass Trans., vol. 46, no. 8, pp. 1309–1320, 2003.
  • V. A. F. Costa, “Bejan’s heatlines and masslines for convection visualization and analysis,” Appl. Mech. Rev., vol. 59, no. 3, pp. 126, 2006.
  • M. Roy, S. Roy, and T. Basak, “Finite element simulations on heatline trajectories for mixed convection in porous square enclosures: Effects of various moving walls,” Eur. J. Mech. B/Fluids, vol. 59, pp. 140–160, 2016.
  • S. H. Hussain, “Analysis of heatlines and entropy generation during double-diffusive MHD natural convection within a tilted sinusoidal corrugated porous enclosure,” Eng. Sci. Technol., vol. 19, no. 2, pp. 926–945, 2016.
  • T. Basak, P. V. Krishna Pradeep, S. Roy, and I. Pop, “Finite element based heatline approach to study mixed convection in a porous square cavity with various wall thermal boundary conditions,” Int. J. Heat Mass Trans., vol. 54, no. 9–10, pp. 1706–1727, 2011.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.