메뉴 건너뛰기




Volumn 38, Issue 2, 2000, Pages 101-118

The effect of spatial inhomogeneity in thermal conductivity on the formation of hot-spots

Author keywords

Fundamental mode approximation; Hot spot; Microwave heating; Spatial inhomogeneity; Thermal conductivity

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; GALERKIN METHODS; MAXWELL EQUATIONS; MODAL ANALYSIS; PROBLEM SOLVING; THERMAL CONDUCTIVITY; WAVE EQUATIONS;

EID: 0033949233     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004733503039     Document Type: Article
Times cited : (1)

References (25)
  • 2
    • 0024142209 scopus 로고
    • Microwave sintering of ceramics
    • M. E. Brodwin, D. L. Johnson, Microwave sintering of ceramics. MIT-S K5 (1988) 287-288.
    • (1988) MIT-S , vol.K5 , pp. 287-288
    • Brodwin, M.E.1    Johnson, D.L.2
  • 4
    • 0021512725 scopus 로고
    • High temperature characterization of dielectric rods
    • J. C. Araneta, M. E. Brodwin, G. A. Kriegsmann, High temperature characterization of dielectric rods. IEEE MTT 32 (1984) 1328-1334.
    • (1984) IEEE MTT , vol.32 , pp. 1328-1334
    • Araneta, J.C.1    Brodwin, M.E.2    Kriegsmann, G.A.3
  • 5
    • 0017209669 scopus 로고
    • High temperature microwave heating in refractory materials
    • A. J. Bertran, J. C. Badot, High temperature microwave heating in refractory materials. J. Microwave Power 11 (1976) 315-320.
    • (1976) J. Microwave Power , vol.11 , pp. 315-320
    • Bertran, A.J.1    Badot, J.C.2
  • 6
    • 0028501746 scopus 로고
    • Microwave heating of materials with impurities
    • T. R. Marchant, Microwave heating of materials with impurities. J. Engng. Math. 28 (1994) 379-400.
    • (1994) J. Engng. Math. , vol.28 , pp. 379-400
    • Marchant, T.R.1
  • 7
    • 36449008197 scopus 로고
    • Thermal runaway in microwave heated ceramics: A one-dimensional model
    • G. A. Kriegsmann, Thermal runaway in microwave heated ceramics: A one-dimensional model. J. Appl. Phys. 71 (1992) 1960-1966.
    • (1992) J. Appl. Phys. , vol.71 , pp. 1960-1966
    • Kriegsmann, G.A.1
  • 8
    • 84974834818 scopus 로고
    • Microwave heating of materials with low conductivity
    • A. H. Picombe, N. F. Smyth, Microwave heating of materials with low conductivity. Proc. R. Soc. London A 433 (1991) 479-498.
    • (1991) Proc. R. Soc. London A , vol.433 , pp. 479-498
    • Picombe, A.H.1    Smyth, N.F.2
  • 9
    • 0025402142 scopus 로고
    • Microwave heating of bodies with temperature dependent properties
    • N. F. Smyth, Microwave heating of bodies with temperature dependent properties. Wave Motion 12 (1990) 171-186.
    • (1990) Wave Motion , vol.12 , pp. 171-186
    • Smyth, N.F.1
  • 10
    • 0028369183 scopus 로고
    • Microwave heating of materials with temperature dependent properties
    • T. R. Marchant, A. H. Picombe, Microwave heating of materials with temperature dependent properties. Wave Motion 19 (1994) 67-81.
    • (1994) Wave Motion , vol.19 , pp. 67-81
    • Marchant, T.R.1    Picombe, A.H.2
  • 11
    • 0002269826 scopus 로고
    • On the microwave hot-spot problem
    • C. J. Coleman, On the microwave hot-spot problem. J. Autral. Math. Soc. Ser. B 33 (1991) 171-186.
    • (1991) J. Autral. Math. Soc. Ser. B , vol.33 , pp. 171-186
    • Coleman, C.J.1
  • 12
    • 0001151701 scopus 로고
    • On the mathematical analysis of hotspots arising from microwave heating
    • J. M. Hill, N. F. Smyth, On the mathematical analysis of hotspots arising from microwave heating. Math. Engng. Ind. 2 (1990) 267-278.
    • (1990) Math. Engng. Ind. , vol.2 , pp. 267-278
    • Hill, J.M.1    Smyth, N.F.2
  • 13
    • 0000695458 scopus 로고
    • Temperature runaway of microwave irradiated materials
    • G. Roussy, A. Bennani, J. Thiebaut, Temperature runaway of microwave irradiated materials. J. Appl. Phys. 62 (1987) 1167-1170.
    • (1987) J. Appl. Phys. , vol.62 , pp. 1167-1170
    • Roussy, G.1    Bennani, A.2    Thiebaut, J.3
  • 14
    • 0027624987 scopus 로고
    • Formulation of model equations for heating by microwave radiation
    • J. M. Hill, M. J. Jennings, Formulation of model equations for heating by microwave radiation. Appl. Math. Mod. 17 (1993) 1823-1834.
    • (1993) Appl. Math. Mod. , vol.17 , pp. 1823-1834
    • Hill, J.M.1    Jennings, M.J.2
  • 15
    • 0031186325 scopus 로고    scopus 로고
    • Microwave heating of ceramic laminates
    • J. A. Palesko, G. A. Kriegsmann, Microwave heating of ceramic laminates. J. Engng. Math. 32 (1997) 1-18.
    • (1997) J. Engng. Math. , vol.32 , pp. 1-18
    • Palesko, J.A.1    Kriegsmann, G.A.2
  • 16
    • 0032049519 scopus 로고    scopus 로고
    • The steady-state microwave heating of slabs with small Arrhenius absorptivity
    • T. R. Marchant, B. Liu, The steady-state microwave heating of slabs with small Arrhenius absorptivity. J. Engng. Math. 33 (1998) 219-236.
    • (1998) J. Engng. Math. , vol.33 , pp. 219-236
    • Marchant, T.R.1    Liu, B.2
  • 17
    • 0001764922 scopus 로고
    • The effect of conductivity on hotspots
    • N. F. Smyth, The effect of conductivity on hotspots. J. Austral. Math. Soc. Ser. B 33 (1992) 403-413.
    • (1992) J. Austral. Math. Soc. Ser. B , vol.33 , pp. 403-413
    • Smyth, N.F.1
  • 19
    • 0343022129 scopus 로고    scopus 로고
    • Nonlinear eigenfunction expansion for a problem in microwave heating
    • K. K. Tam, Andonowati, M. T. Kiang, Nonlinear eigenfunction expansion for a problem in microwave heating. Canad. Appl. Math. Q. 4 (1996) 311-325.
    • (1996) Canad. Appl. Math. Q. , vol.4 , pp. 311-325
    • Tam, K.K.1    Andonowati2    Kiang, M.T.3
  • 20
    • 0343022131 scopus 로고    scopus 로고
    • Microwave heating: Critical dependence on data and parameters
    • E. van Groesen and E. Soewono (eds), Dordrecht: Kluwer
    • Andonowati, Microwave heating: Critical dependence on data and parameters. In: E. van Groesen and E. Soewono (eds), Differential Equations: Theory, Numeric, and Applications. Dordrecht: Kluwer (1997) pp. 189-210.
    • (1997) Differential Equations: Theory, Numeric, and Applications , pp. 189-210
    • Andonowati1
  • 22
    • 0003029067 scopus 로고
    • Thermal ignition with variable thermal conductivity
    • A. Lacey, G. C. Wake, Thermal ignition with variable thermal conductivity. IMA J. Appl. Math. 28 (1982) 23-39.
    • (1982) IMA J. Appl. Math. , vol.28 , pp. 23-39
    • Lacey, A.1    Wake, G.C.2
  • 23
    • 0343893456 scopus 로고    scopus 로고
    • A two-sided shooting method in computation of travelling combustion waves of a solid material
    • Andonowati, A two-sided shooting method in computation of travelling combustion waves of a solid material. J. Austral. Math. Soc. Ser. B. 38 (1996) 220-228.
    • (1996) J. Austral. Math. Soc. Ser. B. , vol.38 , pp. 220-228
    • Andonowati1
  • 24
    • 0343457732 scopus 로고
    • Criticality dependence on data and parameters for a problem in combustion theory, with temperature-dependent conductivity
    • K. K. Tam, Criticality dependence on data and parameters for a problem in combustion theory, with temperature-dependent conductivity. J. Austral. Math. Soc. B. 31 (1989) 76-80.
    • (1989) J. Austral. Math. Soc. B. , vol.31 , pp. 76-80
    • Tam, K.K.1
  • 25
    • 0003973615 scopus 로고
    • New York: Wiley Interscience 687 pp
    • N. Oezisik, Heat Conduction. New York: Wiley Interscience (1980), 687 pp.
    • (1980) Heat Conduction
    • Oezisik, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.