메뉴 건너뛰기




Volumn 49, Issue 23-24, 2006, Pages 4687-4695

Integral transform solution for natural convection in three-dimensional porous cavities: Aspect ratio effects

Author keywords

Integral transforms; Natural convection; Porous media; Rectangular cavities; Transition

Indexed keywords

ASPECT RATIO; HEAT CONDUCTION; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS; POROUS MATERIALS;

EID: 33746878203     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2006.04.028     Document Type: Article
Times cited : (15)

References (32)
  • 3
    • 0009473651 scopus 로고
    • Transient three-dimensional natural convection in confined porous media
    • Holst P.H., and Aziz K. Transient three-dimensional natural convection in confined porous media. Int. J. Heat Mass Transfer 15 (1972) 73-90
    • (1972) Int. J. Heat Mass Transfer , vol.15 , pp. 73-90
    • Holst, P.H.1    Aziz, K.2
  • 4
    • 0017823713 scopus 로고
    • Three-dimensional natural convection motion in a confined porous medium
    • Zebib A., and Kassoy D.R. Three-dimensional natural convection motion in a confined porous medium. Phys. Fluids 21 (1978) 1-3
    • (1978) Phys. Fluids , vol.21 , pp. 1-3
    • Zebib, A.1    Kassoy, D.R.2
  • 5
    • 0018479339 scopus 로고
    • Three-dimensional natural convection in a confined porous medium heated from below
    • Horne R.N. Three-dimensional natural convection in a confined porous medium heated from below. J. Fluid Mech. 92 (1979) 751-766
    • (1979) J. Fluid Mech. , vol.92 , pp. 751-766
    • Horne, R.N.1
  • 6
    • 0018785431 scopus 로고
    • Three-dimensional convection in a cubic box of fluid-saturated porous material
    • Straus J.M., and Schubert G. Three-dimensional convection in a cubic box of fluid-saturated porous material. J. Fluid Mech. 91 (1979) 155-165
    • (1979) J. Fluid Mech. , vol.91 , pp. 155-165
    • Straus, J.M.1    Schubert, G.2
  • 7
    • 0018515484 scopus 로고
    • Three-dimensional and multicelular steady and unsteady convection in fluid-saturated porous media at high Rayleigh numbers
    • Schubert G., and Straus J.M. Three-dimensional and multicelular steady and unsteady convection in fluid-saturated porous media at high Rayleigh numbers. J. Fluid Mech. 94 (1979) 25-38
    • (1979) J. Fluid Mech. , vol.94 , pp. 25-38
    • Schubert, G.1    Straus, J.M.2
  • 8
    • 0019527676 scopus 로고
    • Modes of finite-amplitude three-dimensional convection in rectangular boxes of fluid-saturated porous material
    • Straus J.M., and Schubert G. Modes of finite-amplitude three-dimensional convection in rectangular boxes of fluid-saturated porous material. J. Fluid Mech. 103 (1981) 23-32
    • (1981) J. Fluid Mech. , vol.103 , pp. 23-32
    • Straus, J.M.1    Schubert, G.2
  • 9
    • 0019562979 scopus 로고
    • Analysis of transient three-dimensional natural convection in porous media
    • Chan Y.T., and Banerjee S. Analysis of transient three-dimensional natural convection in porous media. J. Heat Transfer 103 (1981) 242-248
    • (1981) J. Heat Transfer , vol.103 , pp. 242-248
    • Chan, Y.T.1    Banerjee, S.2
  • 10
    • 0024749490 scopus 로고
    • Time-dependent convection in fluid-saturated porous cube heated from below
    • Kimura S., Schubert G., and Straus J.M. Time-dependent convection in fluid-saturated porous cube heated from below. J. Fluid Mech. 207 (1989) 153-189
    • (1989) J. Fluid Mech. , vol.207 , pp. 153-189
    • Kimura, S.1    Schubert, G.2    Straus, J.M.3
  • 11
    • 0025415190 scopus 로고
    • Unsteady three-dimensional natural convection in a fluid-saturated porous medium
    • Stamps D.W., Arpaci V.S., and Clark J.A. Unsteady three-dimensional natural convection in a fluid-saturated porous medium. J. Fluid Mech. 213 (1990) 377-396
    • (1990) J. Fluid Mech. , vol.213 , pp. 377-396
    • Stamps, D.W.1    Arpaci, V.S.2    Clark, J.A.3
  • 12
    • 0026915640 scopus 로고
    • Steady three-dimensional convective heat transfer in a porous box via multigrid
    • Dawood A.S., and Burns P.J. Steady three-dimensional convective heat transfer in a porous box via multigrid. Numer. Heat Transfer Part A 22 (1992) 167-198
    • (1992) Numer. Heat Transfer Part A , vol.22 , pp. 167-198
    • Dawood, A.S.1    Burns, P.J.2
  • 13
    • 0027402542 scopus 로고
    • Three-dimensional natural convection in a confined fluid overlying a porous layer
    • Singh A.K., Leonardi E., and Thorpe G.R. Three-dimensional natural convection in a confined fluid overlying a porous layer. J. Heat Transfer 115 (1993) 631-638
    • (1993) J. Heat Transfer , vol.115 , pp. 631-638
    • Singh, A.K.1    Leonardi, E.2    Thorpe, G.R.3
  • 14
    • 0037071507 scopus 로고    scopus 로고
    • Natural convection in three-dimensional porous cavities: integral transform method
    • Luz Neto H., Quaresma J.N.N., and Cotta R.M. Natural convection in three-dimensional porous cavities: integral transform method. Int. J. Heat Mass Transfer 45 (2002) 3013-3032
    • (2002) Int. J. Heat Mass Transfer , vol.45 , pp. 3013-3032
    • Luz Neto, H.1    Quaresma, J.N.N.2    Cotta, R.M.3
  • 18
    • 0027694093 scopus 로고
    • Integral transform analysis of natural convection in porous enclosures
    • Baohua C., and Cotta R.M. Integral transform analysis of natural convection in porous enclosures. Int. J. Numer. Meth. Fluids 17 (1993) 787-801
    • (1993) Int. J. Numer. Meth. Fluids , vol.17 , pp. 787-801
    • Baohua, C.1    Cotta, R.M.2
  • 19
    • 0345517209 scopus 로고    scopus 로고
    • Natural convection inside two-dimensional cavities: the integral transform method
    • Leal M.A., Pérez Guerrero J.S., and Cotta R.M. Natural convection inside two-dimensional cavities: the integral transform method. Commun. Numer. Meth. Eng. 15 (1999) 113-125
    • (1999) Commun. Numer. Meth. Eng. , vol.15 , pp. 113-125
    • Leal, M.A.1    Pérez Guerrero, J.S.2    Cotta, R.M.3
  • 20
    • 0034333568 scopus 로고    scopus 로고
    • Integral transform solutions of transient natural convection in enclosures with variable fluid properties
    • Leal M.A., Machado H.A., and Cotta R.M. Integral transform solutions of transient natural convection in enclosures with variable fluid properties. Int. J. Heat Mass Transfer 43 (2000) 3977-3990
    • (2000) Int. J. Heat Mass Transfer , vol.43 , pp. 3977-3990
    • Leal, M.A.1    Machado, H.A.2    Cotta, R.M.3
  • 21
    • 1842834455 scopus 로고    scopus 로고
    • Transient natural convection inside porous cavities: hybrid numerical-analytical solution and mixed symbolic-numerical computation
    • Alves L.S.B., and Cotta R.M. Transient natural convection inside porous cavities: hybrid numerical-analytical solution and mixed symbolic-numerical computation. Numer. Heat Transfer Part A 38 (2000) 89-110
    • (2000) Numer. Heat Transfer Part A , vol.38 , pp. 89-110
    • Alves, L.S.B.1    Cotta, R.M.2
  • 22
    • 0035114839 scopus 로고    scopus 로고
    • Stratified flow over a backward facing step: hybrid solution by integral transforms
    • Ramos R., Pérez Guerrero J.S., and Cotta R.M. Stratified flow over a backward facing step: hybrid solution by integral transforms. Int. J. Numer. Meth. Fluids 35 (2001) 173-197
    • (2001) Int. J. Numer. Meth. Fluids , vol.35 , pp. 173-197
    • Ramos, R.1    Pérez Guerrero, J.S.2    Cotta, R.M.3
  • 23
    • 0037126914 scopus 로고    scopus 로고
    • Stability analysis of natural convection in porous cavities through integral transforms
    • Alves L.S.B., Cotta R.M., and Pontes J. Stability analysis of natural convection in porous cavities through integral transforms. Int. J. Heat Mass Transfer 45 (2002) 1185-1195
    • (2002) Int. J. Heat Mass Transfer , vol.45 , pp. 1185-1195
    • Alves, L.S.B.1    Cotta, R.M.2    Pontes, J.3
  • 24
    • 33746931626 scopus 로고    scopus 로고
    • J.N.N. Quaresma, R.M. Cotta, Integral transform method for the Navier-Stokes equations in steady three-dimensional flow, in: Proceedings of the 10th ISTP - International Symposium on Transport Phenomena, Kyoto, Japan, November, 1997 pp. 281-287.
  • 25
    • 0000666384 scopus 로고
    • Numerical solution of three-dimensional equations of motion for laminar natural convection
    • Aziz K., and Hellums J.D. Numerical solution of three-dimensional equations of motion for laminar natural convection. Phys. Fluids 10 (1967) 314-324
    • (1967) Phys. Fluids , vol.10 , pp. 314-324
    • Aziz, K.1    Hellums, J.D.2
  • 26
    • 0000212643 scopus 로고
    • A general formulation of the boundary conditions on the vector potential in three-dimensional hydrodynamics
    • Hirasaki G.J., and Hellums J.D. A general formulation of the boundary conditions on the vector potential in three-dimensional hydrodynamics. Quart. J. Appl. Math. 26 (1968) 331-342
    • (1968) Quart. J. Appl. Math. , vol.26 , pp. 331-342
    • Hirasaki, G.J.1    Hellums, J.D.2
  • 27
    • 0009478858 scopus 로고
    • Boundary conditions on the vector and scalar potentials in viscous three-dimensional hydrodynamics
    • Hirasaki G.J., and Hellums J.D. Boundary conditions on the vector and scalar potentials in viscous three-dimensional hydrodynamics. Quart. J. Appl. Math. 28 (1970) 293-296
    • (1970) Quart. J. Appl. Math. , vol.28 , pp. 293-296
    • Hirasaki, G.J.1    Hellums, J.D.2
  • 28
    • 33746878864 scopus 로고    scopus 로고
    • H. Luz Neto, Transient three-dimensional natural convection in porous media - hybrid solutions via integral transformation, D.Sc. Thesis (in Portuguese), COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil, 2000.
  • 29
    • 33746907136 scopus 로고    scopus 로고
    • L.S.B. Alves, H. Luz Neto, R.M. Cotta, Parametric analysis of stream function time derivative in the Darcy-flow model for transient natural convection, in: Proceedings of the 2nd International Conference on Computational Heat and Mass Transfer - ICCHMT-2001, Rio de Janeiro, Brazil, October, 2001 (CD Rom).
  • 30
    • 33746870816 scopus 로고    scopus 로고
    • H. Luz Neto, J.N.N. Quaresma, R.M. Cotta, Integral transform algorithm for heat and fluid flow in three dimensional porous media, in: Proceedings of the 2nd International Conference on Computational Heat and Mass Transfer - ICCHMT-2001, Rio de Janeiro, Brazil, October, 2001 (CD Rom).
  • 31
    • 0037649633 scopus 로고
    • The spectral dynamics of laminar convection
    • Platzman G.W. The spectral dynamics of laminar convection. J. Fluid Mech. 23 (1965) 481-510
    • (1965) J. Fluid Mech. , vol.23 , pp. 481-510
    • Platzman, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.