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Volumn 340, Issue 7, 2012, Pages 493-500

The heat-balance integral: 2. Parabolic profile with a variable exponent: The concept, analysis and numerical experiments

Author keywords

Heat balance integral; LambertW function; Parabolic profile; Variable exponent

Indexed keywords

ERROR ANALYSIS; EXPERIMENTAL STUDY; HEAT BALANCE; NUMERICAL MODEL; OPTIMIZATION;

EID: 84863190919     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2012.03.002     Document Type: Short Survey
Times cited : (14)

References (16)
  • 1
    • 84964236688 scopus 로고
    • The heat balance integral and its application to problems involving a change of phase
    • Goodman T.R. The heat balance integral and its application to problems involving a change of phase. Transactions of ASME 1958, 80(1-2):335-342.
    • (1958) Transactions of ASME , vol.80 , Issue.1-2 , pp. 335-342
    • Goodman, T.R.1
  • 2
    • 70350168269 scopus 로고    scopus 로고
    • On high-order polynomial heat-balance integral implementations
    • Wood A.S., Mosally F., Al-Fhaid A. On high-order polynomial heat-balance integral implementations. Thermal Science 2009, 13(2):11-25.
    • (2009) Thermal Science , vol.13 , Issue.2 , pp. 11-25
    • Wood, A.S.1    Mosally, F.2    Al-Fhaid, A.3
  • 3
    • 70350149657 scopus 로고    scopus 로고
    • Application of heat-balance integral method to conjugate thermal explosion
    • Novozhilov V. Application of heat-balance integral method to conjugate thermal explosion. Thermal Science 2009, 13(2):73-80.
    • (2009) Thermal Science , vol.13 , Issue.2 , pp. 73-80
    • Novozhilov, V.1
  • 4
    • 70350172778 scopus 로고    scopus 로고
    • On the Goodman heat-balance integral method for Stefan like-problems
    • Sadoun N., Si-Ahmed El-Khider, Collinet P., Legrand J. On the Goodman heat-balance integral method for Stefan like-problems. Thermal Science 2009, 13(2):91-96.
    • (2009) Thermal Science , vol.13 , Issue.2 , pp. 91-96
    • Sadoun, N.1    Si-Ahmed, E.-K.2    Collinet, P.3    Legrand, J.4
  • 5
    • 70350152650 scopus 로고    scopus 로고
    • How good is Goodman's heat-balance integral method for analyzing the rewetting of hot surfaces?
    • Sahu S.K., Das P.K., Bhattacharyya S. How good is Goodman's heat-balance integral method for analyzing the rewetting of hot surfaces?. Thermal Science 2009, 13(2):97-112.
    • (2009) Thermal Science , vol.13 , Issue.2 , pp. 97-112
    • Sahu, S.K.1    Das, P.K.2    Bhattacharyya, S.3
  • 6
    • 70350181245 scopus 로고    scopus 로고
    • Analysis of phase-change in finite slabs subjected to convective boundary conditions: Part I - Melting
    • Roday A.P., Kazmierczak M.J. Analysis of phase-change in finite slabs subjected to convective boundary conditions: Part I - Melting. Int. Rev. Chem. Eng. 2009, 1(1):87-99.
    • (2009) Int. Rev. Chem. Eng. , vol.1 , Issue.1 , pp. 87-99
    • Roday, A.P.1    Kazmierczak, M.J.2
  • 7
    • 70350177127 scopus 로고    scopus 로고
    • Analysis of phase-change in finite slabs subjected to convective boundary conditions: Part II - Freezing
    • Roday A.P., Kazmierczak M.J. Analysis of phase-change in finite slabs subjected to convective boundary conditions: Part II - Freezing. Int. Rev. Chem. Eng. 2009, 1(1):100-108.
    • (2009) Int. Rev. Chem. Eng. , vol.1 , Issue.1 , pp. 100-108
    • Roday, A.P.1    Kazmierczak, M.J.2
  • 8
    • 77957068675 scopus 로고
    • Application of integral methods to transient nonlinear heat transfer
    • Academic Press, San Diego, CA
    • Goodman T.R. Application of integral methods to transient nonlinear heat transfer. Advances in Heat Transfer 1964, vol. 1:51-122. Academic Press, San Diego, CA.
    • (1964) Advances in Heat Transfer , vol.1 , pp. 51-122
    • Goodman, T.R.1
  • 9
    • 70350164246 scopus 로고    scopus 로고
    • The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and benchmark exercises
    • Hristov J. The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and benchmark exercises. Thermal Science 2009, 13(2):22-48.
    • (2009) Thermal Science , vol.13 , Issue.2 , pp. 22-48
    • Hristov, J.1
  • 10
    • 84863189968 scopus 로고    scopus 로고
    • A new approach for the heat balance integral method applied to heat conduction problems
    • 38th AIAA Thermophysics Conference, Toronto, Ontario, June 6-9, paper AIAA-2005-4686.
    • W. Braga, M. Mantelli, A new approach for the heat balance integral method applied to heat conduction problems, in: 38th AIAA Thermophysics Conference, Toronto, Ontario, June 6-9, 2005, paper AIAA-2005-4686.
    • (2005)
    • Braga, W.1    Mantelli, M.2
  • 11
    • 70350156226 scopus 로고    scopus 로고
    • Research note on a parabolic heat-balance integral method with unspecified exponent: An entropy generation approach in optimal profile determination
    • Hristov J. Research note on a parabolic heat-balance integral method with unspecified exponent: An entropy generation approach in optimal profile determination. Thermal Science 2009, 13(2):49-59.
    • (2009) Thermal Science , vol.13 , Issue.2 , pp. 49-59
    • Hristov, J.1
  • 12
    • 84863202611 scopus 로고    scopus 로고
    • The heat-balance integral: How to calibrate the parabolic profile?
    • Hristov J. The heat-balance integral: How to calibrate the parabolic profile?. Comptes Rendus Mecanique 2012, 340(7):485-492.
    • (2012) Comptes Rendus Mecanique , vol.340 , Issue.7 , pp. 485-492
    • Hristov, J.1
  • 13
    • 59649114537 scopus 로고    scopus 로고
    • Optimizing the exponent in the heat balance and refined integral methods
    • Myers T. Optimizing the exponent in the heat balance and refined integral methods. Int. Comm. Heat Mass Transfer 2009, 36:143-147. 10.1016/j.icheatmasstransfer.2008.10.013.
    • (2009) Int. Comm. Heat Mass Transfer , vol.36 , pp. 143-147
    • Myers, T.1
  • 15
    • 27144474747 scopus 로고    scopus 로고
    • On some latent heat effects on the floating zone growth
    • El Ganaoui M., Bennacer R. On some latent heat effects on the floating zone growth. Adv. Space Res. 2005, 36(1):96-98.
    • (2005) Adv. Space Res. , vol.36 , Issue.1 , pp. 96-98
    • El Ganaoui, M.1    Bennacer, R.2
  • 16
    • 0036568396 scopus 로고    scopus 로고
    • Computational solution for fluid flow under solid/liquid phase change conditions
    • El Ganaoui M., Lamazouade A., Bontoux P., Morvan D. Computational solution for fluid flow under solid/liquid phase change conditions. Computers & Fluids 2002, 31(4-7):539-556.
    • (2002) Computers & Fluids , vol.31 , Issue.4-7 , pp. 539-556
    • El Ganaoui, M.1    Lamazouade, A.2    Bontoux, P.3    Morvan, D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.