Simulation of Natural Convection Flow in an Inclined open Cavity using Lattice Boltzmann Method
In this paper effects of inclination angle on natural
convection flow in an open cavity has been analyzed with Lattice
Boltzmann Method (LBM).The angle of inclination varied from θ= -
45° to 45° with 15° intervals. Study has been conducted for Rayleigh
numbers (Ra) 104 to 106. The comparisons show that the average
Nusselt number increases with growth of Rayleigh number and the
average Nusselt number increase as inclination angles increases at
Ra=104.At Ra=105 and Ra=106 the average Nusselt number enhance
as inclination angels varied from θ= -45° to θ= 0° and decrease as
inclination angels increase in θ= 0° to θ= 45°.
[1] A. D-Orazio, M. Corcione , G. P. Celata , Application to natural
convection enclosed flows of a Lattice Boltzmann BGK model coupled
with a general purpose thermal boundary condition, Int. J. Thermal
Sciences, vol. 43, pp. 575-586, 2004.
[2] A.A. Mohamad, Applied Lattice Boltzmann Method for Transport
Phenomena, Momentum, Heat Mass Transfer, Sure, Calgary, 2007.
[3] I. Sazia, A.A. Mohamad, Suppressing free convection from a flat plate
with poor conductor ribs, Int. J. Heat Mass Transfer, vol. 42, pp. 2041-
2051, 1999.
[4] P. Le Quere, J.A.C. Humphrey, F.S. Sherman, Numerical calculation of
thermally driven two-dimensional unsteady laminar flow in cavities of
rectangular cross section, Numer. Heat Transfer Part A, vol. 4, pp. 249-
283, 1981.
[5] F. Penot, Numerical calculation of two-dimensional natural convection
in isothermal cavities, Numerical Heat Transfer Part A, vol. 5, pp. 421-
437, 1982.
[6] Y.L. Chan and C.L. Tien, A numerical study of two-dimensional natural
convection in square open cavities, Numer. Heat Transfer Part A, vol. 8,
pp. 65-80, 1985.
[7] A.A. Mohamad, Natural convection in open cavities and slots, Numer.
Heat Transfer Part A, vol. 27, pp. 705-716, 1995.
[8] D. Angirasa, M. J. B. M. Pourquie, F. T. M. Nieuwstadt, Numerical
study of transient and steady laminar buoyancy-driven flows and heat
transfer in a square open cavity , Numer. Heat Transfer Part A, vol. 22,
pp. 223 - 239, 1992.
[9] T. H. Hsu and K. Y. Hong, Natural Convection of Micropolar Fluids in
an Open Cavity, Numer. Heat Transfer Part A, vol. 50, pp. 281 - 300,
2006.
[10] D. Angirasa, J. G. M. Eggels, F. T. M. Nieuwstadt, Numerical
simulation of transient natural convection from an isothermal cavity
open on a side, Numer. Heat Transfer Part A, vol. 28, pp. 755 - 767,
1995.
[11] J. F. Hinojosa, C. A. Estrada, R. E. Cabanillas, G. Alvarez, Numerical
Study of Transient and Steady-State Natural Convection and Surface
Thermal Radiation in a Horizontal Square Open Cavity, Numer. Heat
Transfer Part A, vol. 28, pp. 179 - 196, 2005.
[12] M. Miyamoto, T.H. Huehn, J. Goldstein, Y. Katoh, Two dimensional
laminar natural convection heat transfer from a fully or partially open
square cavity, Numer. Heat Transfer Part A, vol. 15, pp. 411-430, 1989.
[13] O. Polat and E. Bilgen, Laminar natural convection in inclined open
shallow cavities, Int. J. Thermal Sciences, vol. 41, pp. 360-368, 2002.
[14] O. Polat and E. Bilgen, Conjugate heat transfer in inclined open shallow
cavities, Int. J. Heat Mass Transfer, vol. 46, pp. 1563-1573, 2003.
[15] S.M. Aminossadati and B. Ghasemi, A numerical study of mix
convection in a horizontal channel with a discrete heat source in an open
cavity, Eur. J. Mech. B/Fluids, vol. 28, pp. 590-598, 2009.
[16] A. Muftuo glu and E. Bilgen, Natural convection in an open square
cavity with discrete heaters at their optimized positions, Int. J. Thermal
Sciences, vol. 47, pp. 369-377, 2008.
[17] Y.L. Chan and C.L. Tien, Laminar natural convection in shallow open
cavities, Int. J. Heat Transfer, vol. 108, pp. 305-309, 1986.
[18] E. Bilgen, Passive solar massive wall systems with fins attached on the
heated wall and without glazing, J. Sol. Energ. Eng., vol. 122, pp. 30-
34, 2000.
[19] S.S.Cha and K.J. Choi, An interferometric investigation of open cavity
natural convection heat transfer, Exp. Heat Transfer, vol. 2, pp. 27-40,
1989.
[20] J.F. Hinojosa, R.E. Cabanillas, G. Alvarez, C.E. Estrada, Nusslet number
for the natural convection and surface thermal radiation in a square tilted
open cavity, Int. Comm. Heat Mass Transfer, vol. 32, pp. 1184-1192,
2005.
[21] N. Nouanegue, A. Muftuoglu, E. Bilgen, Conjugate heat transfer by
natural convection, conduction and radiation in open cavities, Int. J.
Heat Mass Transfer, pp. 779-788, 2008.
[22] A. Javam and S.W. Armfield, Stability and transition of stratified natural
convection flow in open cavities, J. Fluid Mech., vol. 44,pp. 285-303,
2001.
[23] A.A. Mohamad , M. El-Ganaoui , R. Bennacer , Lattice Boltzmann
simulation of natural convection in an open ended cavity, Int. J. Thermal
Sciences, vol. 48, pp. 1870-1875, 2009.
[24] X. He, S. Chen and G.D. Doolen , A novel thermal model for the lattice
Boltzmann method in incompressible limit, J. Comput. Phys., vol. 146,
pp. 282-300, 1998.
[1] A. D-Orazio, M. Corcione , G. P. Celata , Application to natural
convection enclosed flows of a Lattice Boltzmann BGK model coupled
with a general purpose thermal boundary condition, Int. J. Thermal
Sciences, vol. 43, pp. 575-586, 2004.
[2] A.A. Mohamad, Applied Lattice Boltzmann Method for Transport
Phenomena, Momentum, Heat Mass Transfer, Sure, Calgary, 2007.
[3] I. Sazia, A.A. Mohamad, Suppressing free convection from a flat plate
with poor conductor ribs, Int. J. Heat Mass Transfer, vol. 42, pp. 2041-
2051, 1999.
[4] P. Le Quere, J.A.C. Humphrey, F.S. Sherman, Numerical calculation of
thermally driven two-dimensional unsteady laminar flow in cavities of
rectangular cross section, Numer. Heat Transfer Part A, vol. 4, pp. 249-
283, 1981.
[5] F. Penot, Numerical calculation of two-dimensional natural convection
in isothermal cavities, Numerical Heat Transfer Part A, vol. 5, pp. 421-
437, 1982.
[6] Y.L. Chan and C.L. Tien, A numerical study of two-dimensional natural
convection in square open cavities, Numer. Heat Transfer Part A, vol. 8,
pp. 65-80, 1985.
[7] A.A. Mohamad, Natural convection in open cavities and slots, Numer.
Heat Transfer Part A, vol. 27, pp. 705-716, 1995.
[8] D. Angirasa, M. J. B. M. Pourquie, F. T. M. Nieuwstadt, Numerical
study of transient and steady laminar buoyancy-driven flows and heat
transfer in a square open cavity , Numer. Heat Transfer Part A, vol. 22,
pp. 223 - 239, 1992.
[9] T. H. Hsu and K. Y. Hong, Natural Convection of Micropolar Fluids in
an Open Cavity, Numer. Heat Transfer Part A, vol. 50, pp. 281 - 300,
2006.
[10] D. Angirasa, J. G. M. Eggels, F. T. M. Nieuwstadt, Numerical
simulation of transient natural convection from an isothermal cavity
open on a side, Numer. Heat Transfer Part A, vol. 28, pp. 755 - 767,
1995.
[11] J. F. Hinojosa, C. A. Estrada, R. E. Cabanillas, G. Alvarez, Numerical
Study of Transient and Steady-State Natural Convection and Surface
Thermal Radiation in a Horizontal Square Open Cavity, Numer. Heat
Transfer Part A, vol. 28, pp. 179 - 196, 2005.
[12] M. Miyamoto, T.H. Huehn, J. Goldstein, Y. Katoh, Two dimensional
laminar natural convection heat transfer from a fully or partially open
square cavity, Numer. Heat Transfer Part A, vol. 15, pp. 411-430, 1989.
[13] O. Polat and E. Bilgen, Laminar natural convection in inclined open
shallow cavities, Int. J. Thermal Sciences, vol. 41, pp. 360-368, 2002.
[14] O. Polat and E. Bilgen, Conjugate heat transfer in inclined open shallow
cavities, Int. J. Heat Mass Transfer, vol. 46, pp. 1563-1573, 2003.
[15] S.M. Aminossadati and B. Ghasemi, A numerical study of mix
convection in a horizontal channel with a discrete heat source in an open
cavity, Eur. J. Mech. B/Fluids, vol. 28, pp. 590-598, 2009.
[16] A. Muftuo glu and E. Bilgen, Natural convection in an open square
cavity with discrete heaters at their optimized positions, Int. J. Thermal
Sciences, vol. 47, pp. 369-377, 2008.
[17] Y.L. Chan and C.L. Tien, Laminar natural convection in shallow open
cavities, Int. J. Heat Transfer, vol. 108, pp. 305-309, 1986.
[18] E. Bilgen, Passive solar massive wall systems with fins attached on the
heated wall and without glazing, J. Sol. Energ. Eng., vol. 122, pp. 30-
34, 2000.
[19] S.S.Cha and K.J. Choi, An interferometric investigation of open cavity
natural convection heat transfer, Exp. Heat Transfer, vol. 2, pp. 27-40,
1989.
[20] J.F. Hinojosa, R.E. Cabanillas, G. Alvarez, C.E. Estrada, Nusslet number
for the natural convection and surface thermal radiation in a square tilted
open cavity, Int. Comm. Heat Mass Transfer, vol. 32, pp. 1184-1192,
2005.
[21] N. Nouanegue, A. Muftuoglu, E. Bilgen, Conjugate heat transfer by
natural convection, conduction and radiation in open cavities, Int. J.
Heat Mass Transfer, pp. 779-788, 2008.
[22] A. Javam and S.W. Armfield, Stability and transition of stratified natural
convection flow in open cavities, J. Fluid Mech., vol. 44,pp. 285-303,
2001.
[23] A.A. Mohamad , M. El-Ganaoui , R. Bennacer , Lattice Boltzmann
simulation of natural convection in an open ended cavity, Int. J. Thermal
Sciences, vol. 48, pp. 1870-1875, 2009.
[24] X. He, S. Chen and G.D. Doolen , A novel thermal model for the lattice
Boltzmann method in incompressible limit, J. Comput. Phys., vol. 146,
pp. 282-300, 1998.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:64553", author = "H. Sajjadi and M. Gorji and GH.R. Kefayati and D. D. Ganji and M. Shayan nia", title = "Simulation of Natural Convection Flow in an Inclined open Cavity using Lattice Boltzmann Method", abstract = "In this paper effects of inclination angle on natural
convection flow in an open cavity has been analyzed with Lattice
Boltzmann Method (LBM).The angle of inclination varied from θ= -
45° to 45° with 15° intervals. Study has been conducted for Rayleigh
numbers (Ra) 104 to 106. The comparisons show that the average
Nusselt number increases with growth of Rayleigh number and the
average Nusselt number increase as inclination angles increases at
Ra=104.At Ra=105 and Ra=106 the average Nusselt number enhance
as inclination angels varied from θ= -45° to θ= 0° and decrease as
inclination angels increase in θ= 0° to θ= 45°.", keywords = "Lattice Boltzmann Method, Inclination angle, Opencavity, Natural convection", volume = "5", number = "7", pages = "1544-7", }
