메뉴 건너뛰기




Volumn 133, Issue 11, 2011, Pages

Exact solutions for a thermal nonequilibrium model of fluid saturated porous media based on an effective porosity

Author keywords

aluminum; conductivity; metal foam; porous media; thermal nonequilibrium

Indexed keywords

COLD WALL; CONSTANT HEAT FLUX; CONVECTIVE FLOW; EFFECTIVE POROSITY; EFFECTIVE THERMAL CONDUCTIVITY; EXACT SOLUTION; FLUID PHASIS; FLUID SATURATED POROUS MEDIA; FLUID-SATURATED POROUS MEDIUM; LOCAL THERMAL EQUILIBRIUM; METAL FOAM; METAL FOAMS; PLUG FLOW; THERMAL DISPERSION; THERMAL NON-EQUILIBRIUM;

EID: 80053233142     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.4004354     Document Type: Article
Times cited : (47)

References (35)
  • 1
    • 0035909045 scopus 로고    scopus 로고
    • A two-energy equation model for conduction and convection in porous media
    • DOI 10.1016/S0017-9310(01)00069-2, PII S0017931001000692
    • Nakayama, A., Kuwahara, F., Sugiyama, M., and Xu, G., 2001, "A Two-Energy Equation Model for Conduction and Convection in Porous Media," Int. J. Heat Mass Transfer, 44(22), pp. 4375-4379. (Pubitemid 32826638)
    • (2001) International Journal of Heat and Mass Transfer , vol.44 , Issue.22 , pp. 4375-4379
    • Nakayama, A.1    Kuwahara, F.2    Sugiyama, M.3    Xu, G.4
  • 2
    • 84863116633 scopus 로고    scopus 로고
    • Forced convective heat transfer enhancement in a tube with its core partially filled with a porous medium
    • Yang, C., Liu, W., and Nakayama, A., 2009, "Forced Convective Heat Transfer Enhancement in a Tube With its Core Partially Filled With a Porous Medium," Open Transp. Phenom. J., 1, pp. 1-6.
    • (2009) Open Transp. Phenom.J. , vol.1 , pp. 1-6
    • Yang, C.1    Liu, W.2    Nakayama, A.3
  • 3
    • 0002574276 scopus 로고    scopus 로고
    • Vertical free convective boundary layer, flow in a porous medium using a thermal nonequilibrium model
    • Rees, D. A. S., and Pop, I., 2000, "Vertical Free Convective Boundary Layer, Flow in a Porous Medium Using a Thermal Nonequilibrium Model," J. Porous Media, 1, pp. 31-44.
    • (2000) J. Porous Media , vol.1 , pp. 31-44
    • Rees, D.A.S.1    Pop, I.2
  • 4
    • 0035072709 scopus 로고    scopus 로고
    • A numerical study of interfacial convective heat transfer coefficient in two-energy equation model for convection in porous media
    • DOI 10.1016/S0017-9310(00)00166-6, PII S0017931000001666
    • Kuwahara, F., Shirota, M., and Nakayama, A., 2001, "A Numerical Study of Interfacial Convective Heat Transfer Coefficient in Two-Energy Equation Model for Convection in Porous Media," Int. J. Heat Mass Transfer, 44, pp. 1153-1159. (Pubitemid 32270320)
    • (2001) International Journal of Heat and Mass Transfer , vol.44 , Issue.6 , pp. 1153-1159
    • Kuwahara, F.1    Shirota, M.2    Nakayama, A.3
  • 6
    • 77957819256 scopus 로고
    • One and two equation models for transient diffusion processes in two-phase systems
    • Quintard, M., and Whitaker, S., 1993, "One and Two Equation Models for Transient Diffusion Processes in Two-Phase Systems," Adv. Heat Transfer, 23, pp. 369-465.
    • (1993) Adv. Heat Transfer , vol.23 , pp. 369-465
    • Quintard, M.1    Whitaker, S.2
  • 7
    • 0029379958 scopus 로고
    • Local thermal equilibrium for transient heat conduction: Theory and comparison with numerical experiments
    • Quintard, M., and Whitaker, S., 1995, "Local Thermal Equilibrium for Transient Heat Conduction: Theory and Comparison With Numerical Experiments," Int. J. Heat Mass Transfer, 38, pp. 2779-2796.
    • (1995) Int. J. Heat Mass Transfer , vol.38 , pp. 2779-2796
    • Quintard, M.1    Whitaker, S.2
  • 8
    • 0345035215 scopus 로고    scopus 로고
    • On departure from local thermal equilibrium in porous media due to a rapidly changing heat source: The Sparrow number
    • DOI 10.1016/S0017-9310(99)00043-5, PII S0017931099000435
    • Minkowycz, W. J., Haji-Sheikh, A., and Vafai, K., 1999, "On Departure From Local Thermal Equilibrium in Porous Media Due to a Rapidly Changing Heat Source: The Sparrow Number," Int. J. Heat Mass Transfer, 42, pp. 3373-3385. (Pubitemid 29417213)
    • (1999) International Journal of Heat and Mass Transfer , vol.42 , Issue.18 , pp. 3373-3385
    • Minkowycz, W.J.1    Haji-Sheikh, A.2    Vafai, K.3
  • 9
    • 0036642184 scopus 로고    scopus 로고
    • Effects of the Darcy number, the Prandtl number, and the Reynolds number on local thermal non-equilibrium
    • DOI 10.1016/S0017-9310(02)00109-6, PII S0017931002001096
    • Kim, S. J., and Jang, S. P., 2002, "Effects of the Darcy Number, the Prandtl Number, and the Reynolds Number on Local Thermal Non-Equilibrium," Int. J. Heat Mass Transfer, 45, pp. 3885-3896. (Pubitemid 34792328)
    • (2002) International Journal of Heat and Mass Transfer , vol.45 , Issue.19 , pp. 3885-3896
    • Kim, S.J.1    Jang, S.P.2
  • 10
    • 0141460255 scopus 로고    scopus 로고
    • Examination of the thermal equilibrium assumption in periodic forced convection in a porous channel
    • Kiwan, S., and Al-Nimr, M. A., 2002, "Examination of the Thermal Equilibrium Assumption in Periodic Forced Convection in a Porous Channel," J. Porous Media, 5, pp. 35-40. (Pubitemid 44154183)
    • (2002) Journal of Porous Media , vol.5 , Issue.1 , pp. 35-40
    • Al-Nimr, M.A.1    Kiwan, S.2
  • 11
    • 0036833060 scopus 로고    scopus 로고
    • Validation of thermal equilibrium assumption in transient forced convection flow in porous channel
    • DOI 10.1023/A:1016072713296
    • Al-Nimr, M. A., and Abu-Hijleh, B., 2002, "Validation of Thermal Equilibrium Assumption in Transient Forced Convection Flow in Porous Channel," Transp. Porous Media, 49, pp. 127-138. (Pubitemid 34853915)
    • (2002) Transport in Porous Media , vol.49 , Issue.2 , pp. 127-138
    • Al-Nimr, M.A.1    Abu-Hijleh, B.A.2
  • 12
    • 0036833060 scopus 로고    scopus 로고
    • Validation of thermal equilibrium assumption in transient forced convection flow in porous channel
    • DOI 10.1023/A:1016072713296
    • Abu-Hijleh, B. A., Al-Nimr, M. A., and Hader, M. A., 2002, "Thermal Equilibrium in Transient Forced Convection Flow in Porous Channel," Transp. Porous Media, 49, pp. 127-138. (Pubitemid 34853915)
    • (2002) Transport in Porous Media , vol.49 , Issue.2 , pp. 127-138
    • Al-Nimr, M.A.1    Abu-Hijleh, B.A.2
  • 13
    • 14544304460 scopus 로고    scopus 로고
    • Assessment of the local thermal non-equilibrium condition in developing forced convection flows through fluid-saturated porous tubes
    • DOI 10.1016/j.applthermaleng.2004.09.011, PII S1359431104002789
    • Khashan, S., Al-Amiri, A.M., and Al-Nimr,M. A., 2005, "Assessment of the Local Thermal Non-Equilibrium Condition in Developing Forced Convection Flows Through Fluid-Saturated Porous Tubes," Appl. Therm. Eng., 25, pp. 1429-1445. (Pubitemid 40304719)
    • (2005) Applied Thermal Engineering , vol.25 , Issue.10 , pp. 1429-1445
    • Khashan, S.A.1    Al-Amiri, A.M.2    Al-Nimr, M.A.3
  • 14
    • 21444438612 scopus 로고    scopus 로고
    • Validation of the local thermal equilibrium assumption in forced convection of non-Newtonian fluids through porous channels
    • DOI 10.1007/s11242-004-8305-8
    • Khashan, S., and Al-Nimr, M. A., 2005, "Validation of the Local Thermal Equilibrium Assumption in Forced Convection of Non-Newtonian Fluids Through Porous Channels," Transp. Porous Media, 61, pp. 291-305. (Pubitemid 40919513)
    • (2005) Transport in Porous Media , vol.61 , Issue.3 , pp. 291-305
    • Khashan, S.A.1    Al-Nimr, M.A.2
  • 15
    • 1642439295 scopus 로고    scopus 로고
    • Validation of the local thermal equilibrium assumption in natural convection from a vertical plate embedded in porous medium: Non-Darcian model
    • DOI 10.1016/j.ijheatmasstransfer.2003.09.033
    • Haddad, O. M., Al-Nimr, M. A., and Al-Khateeb, A. N., 2004, "Validation of the Local Thermal Equilibrium Assumption in Natural Convection From a Vertical Plate Embedded in Porous Medium: Non-Darcian Model," Int. J. Heat Mass Transfer, 47, pp. 2037-2042. (Pubitemid 38119517)
    • (2004) International Journal of Heat and Mass Transfer , vol.47 , Issue.8-9 , pp. 2037-2042
    • Haddad, O.M.1    Al-Nimr, M.A.2    Al-Khateeb, A.N.3
  • 16
    • 0002464632 scopus 로고    scopus 로고
    • Heat conduction in porous media
    • K. Vafai, ed. Marcel Dekker, New York
    • Hsu, C. T., 2000, "Heat Conduction in Porous Media," Handbook of Porous Media, K. Vafai, ed., Marcel Dekker, New York, pp. 170-200.
    • (2000) Handbook of Porous Media , pp. 170-200
    • Hsu, C.T.1
  • 17
    • 0029124624 scopus 로고
    • A lumped parameter model for stagnant thermal conductivity of spatially periodic porous media
    • Hsu, C. T., Cheng, P., and Wong, K. W., 1995, "A Lumped Parameter Model for Stagnant Thermal Conductivity of Spatially Periodic Porous Media," ASME Trans. J. Heat Transfer, 117, pp. 264-269.
    • (1995) ASME Trans. J. Heat Transfer , vol.117 , pp. 264-269
    • Hsu, C.T.1    Cheng, P.2    Wong, K.W.3
  • 18
    • 77952236410 scopus 로고    scopus 로고
    • Effect of local thermal non-equilibrium on the onset of convection in a porous medium layer saturated by a nanofluid
    • Kuznetsov, A. V., and Nield, D. A., 2010, "Effect of Local Thermal Non-Equilibrium on the Onset of Convection in a Porous Medium Layer Saturated by a Nanofluid," Transp. Porous Media, 83, pp. 425-436.
    • (2010) Transp. Porous Media , vol.83 , pp. 425-436
    • Kuznetsov, A.V.1    Nield, D.A.2
  • 19
    • 0030149412 scopus 로고    scopus 로고
    • A perturbation solution for a nonthermal equilibrium fluid flow through a three-dimensional sensible heat storage packed bed
    • Kuznetsov, A. V., 1996, "A Perturbation Solution for a Nonthermal Equilibrium Fluid Flow Through a Three-Dimensional Sensible Heat Storage Packed Bed," J. Heat Transfer, 118, pp. 508-510. (Pubitemid 126544478)
    • (1996) Journal of Heat Transfer , vol.118 , Issue.2 , pp. 508-510
    • Kuznetsov, A.V.1
  • 20
    • 0031106462 scopus 로고    scopus 로고
    • A perturbation solution for heating a rectangular sensible heat storage packed bed with a constant temperature at the walls
    • Kuznetsov, A. V., 1997, "A Perturbation Solution for Heating a Rectangular Sensible Heat Storage Packed Bed With a Constant Temperature at the Walls," Int. J. Heat Mass Transfer, 40, pp. 1001-1006.
    • (1997) Int. J. Heat Mass Transfer , vol.40 , pp. 1001-1006
    • Kuznetsov, A.V.1
  • 21
    • 79961211409 scopus 로고    scopus 로고
    • A local thermal non-equilibrium analysis of fully developed forced convective flow in a tube filled with a porous medium
    • in press
    • Yang, C., Ando, K., and Nakayama, A., 2011, "A Local Thermal Non-Equilibrium Analysis of Fully Developed Forced Convective Flow in a Tube Filled With a Porous Medium," Transp. Porous Media, (in press).
    • (2011) Transp. Porous Media
    • Yang, C.1    Ando, K.2    Nakayama, A.3
  • 22
    • 0018060509 scopus 로고
    • Heat transfer in geothermal systems
    • Cheng, P., 1978, "Heat Transfer in Geothermal Systems," Adv. Heat Transfer, 14, pp. 1-105.
    • (1978) Adv. Heat Transfer , vol.14 , pp. 1-105
    • Cheng, P.1
  • 24
    • 33748331108 scopus 로고    scopus 로고
    • An equation for thermal dispersion flux transport and its mathematical modelling for heat and fluid flow in a porous medium
    • DOI 10.1017/S0022112006001078, PII S0022112006001078
    • Nakayama, A., Kuwahara, F., and Kodama, Y., 2006, "An Equation for Thermal Dispersion Flux Transport and Its Mathematical Modelling for Heat and Fluid Flow in a Porous Medium," J. Fluid Mech., 563, pp. 81-96. (Pubitemid 44322720)
    • (2006) Journal of Fluid Mechanics , vol.563 , pp. 81-96
    • Nakayama, A.1    Kuwahara, F.2    Kodama, Y.3
  • 25
    • 77953290269 scopus 로고    scopus 로고
    • A synthesis of tortuosity and dispersion in effective thermal conductivity of porous media
    • Yang, C., and Nakayama, A., 2010, "A Synthesis of Tortuosity and Dispersion in Effective Thermal Conductivity of Porous Media," Int. J. Heat Mass Transfer, 53(15-16), pp. 3222-3230.
    • (2010) Int. J. Heat Mass Transfer , vol.53 , Issue.15-16 , pp. 3222-3230
    • Yang, C.1    Nakayama, A.2
  • 26
    • 0033751498 scopus 로고    scopus 로고
    • Effective thermal conductivity and permeability of aluminium foam materials
    • Paek, J. W., Kang, B. H., Kim, S. Y., and Hyun, J. M., 2000, "Effective Thermal Conductivity and Permeability of Aluminium Foam Materials," Int. J. Thermophys., 21(2), pp. 453-464.
    • (2000) Int. J. Thermophys. , vol.21 , Issue.2 , pp. 453-464
    • Paek, J.W.1    Kang, B.H.2    Kim, S.Y.3    Hyun, J.M.4
  • 27
    • 34250520971 scopus 로고
    • Heat transfer through solid disperse systems
    • Dul'nev, G. N., 1965, "Heat Transfer Through Solid Disperse Systems," J. Eng. Phys. Thermophys., 9, pp. 275-279.
    • (1965) J. Eng. Phys. Thermophys. , vol.9 , pp. 275-279
    • Dul'nev, G.N.1
  • 28
    • 33845696097 scopus 로고    scopus 로고
    • Direct simulation of transport in open-cell metal foam
    • DOI 10.1115/1.2227038
    • Krishnan, S., Murthy, J. Y., and Garimella, S. V., 2006, "Direct Simulation of Transport in Open-Cell Metal Foam," J. Heat Transfer, 128, pp. 793-799. (Pubitemid 44965664)
    • (2006) Journal of Heat Transfer , vol.128 , Issue.8 , pp. 793-799
    • Krishnan, S.1    Murthy, J.Y.2    Garimella, S.V.3
  • 29
    • 0000810564 scopus 로고
    • A theory for the limiting conductivity of polyhedral foam at low density
    • Lemlich, R., 1978, "A Theory for the Limiting Conductivity of Polyhedral Foam at Low Density," J. Colloid Interface Sci., 64, pp. 107-110.
    • (1978) J. Colloid Interface Sci. , vol.64 , pp. 107-110
    • Lemlich, R.1
  • 30
    • 0032655732 scopus 로고    scopus 로고
    • The effective thermal conductivity of high porosity fibrous metal foams
    • Calmidi, V. V., and Mahajan, R. L., 1999, "The Effective Thermal Conductivity of High Porosity Fibrous Metal Foams," ASME Trans. J. Heat Transfer, 121, pp. 466-471.
    • (1999) ASME Trans. J. Heat Transfer , Issue.121 , pp. 466-471
    • Calmidi, V.V.1    Mahajan, R.L.2
  • 31
    • 0034251894 scopus 로고    scopus 로고
    • Forced convection in high porosity metal foams
    • Calmidi, V. V., and Mahajan, R. L., 2000, "Forced Convection in High Porosity Metal Foams," ASME Trans. J. Heat Transfer, 122, pp. 557-565.
    • (2000) ASME Trans. J. Heat Transfer , Issue.122 , pp. 557-565
    • Calmidi, V.V.1    Mahajan, R.L.2
  • 33
    • 3042734993 scopus 로고    scopus 로고
    • Computational aspects of effective thermal conductivity of highly porous metal foams
    • Singh, R., and Kasana, H. S., 2004, "Computational Aspects of Effective Thermal Conductivity of Highly Porous Metal Foams," Appl. Therm. Eng., 24, pp. 1841-1849.
    • (2004) Appl. Therm. Eng. , vol.24 , pp. 1841-1849
    • Singh, R.1    Kasana, H.S.2
  • 34
    • 33845689957 scopus 로고    scopus 로고
    • Heat transfer analysis in metal foams with low-conductivity fluids
    • DOI 10.1115/1.2217750
    • Dukhan, N., Picon-Feliciano, R., and Alvarez-Hernandez, A. R., 2006, "Heat Transfer Analysis in Metal Foams With Low-Conductivity Fluids," J. Heat Transfer, 128, pp. 784-792. (Pubitemid 44965663)
    • (2006) Journal of Heat Transfer , vol.128 , Issue.8 , pp. 784-792
    • Dukhan, N.1    Picon-Feliciano, R.2    Alvarez-Hernandez, A.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.