메뉴 건너뛰기




Volumn 20, Issue 1, 2004, Pages 60-71

A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates

Author keywords

Convergence; Finite difference; Heat transport equation; Microsphere

Indexed keywords


EID: 0347592774     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.10073     Document Type: Article
Times cited : (12)

References (25)
  • 2
    • 0002916786 scopus 로고
    • Transient ballistic and diffusive phonon heat transport in thin films
    • 2 A. A. Joshi and A. Majumdar, Transient ballistic and diffusive phonon heat transport in thin films, J Appl Phys 74 (1993), 31–39.
    • (1993) J Appl Phys , vol.74 , pp. 31-39
    • Joshi, A.A.1    Majumdar, A.2
  • 3
    • 85014333979 scopus 로고
    • Heat transfer mechanisms during short‐pulse laser heating of metals
    • 3 T. Q. Qiu and C. L. Tien, Heat transfer mechanisms during short‐pulse laser heating of metals, ASME J Heat Transf 115 (1993), 835–841.
    • (1993) ASME J Heat Transf , vol.115 , pp. 835-841
    • Qiu, T.Q.1    Tien, C.L.2
  • 4
    • 0026839763 scopus 로고
    • Short‐pulse laser heating on metals
    • 4 T. Q. Qiu and C. L. Tien, Short‐pulse laser heating on metals, Int J Heat Mass Transf 35 (1992), 719–726.
    • (1992) Int J Heat Mass Transf , vol.35 , pp. 719-726
    • Qiu, T.Q.1    Tien, C.L.2
  • 5
    • 0004249054 scopus 로고    scopus 로고
    • Macro to micro heat transfer
    • 5 D. Y. Tzou, Macro to micro heat transfer, Taylor & Francis, Washington, DC, 1996.
    • (1996)
    • Tzou, D.Y.1
  • 6
    • 0028039735 scopus 로고
    • On the wave theory in heat conduction
    • 6 M. N. Özisik and D. Y. Tzou, On the wave theory in heat conduction, ASME J Heat Transf 116 (1994), 526–536.
    • (1994) ASME J Heat Transf , vol.116 , pp. 526-536
    • Özisik, M.N.1    Tzou, D.Y.2
  • 7
    • 0000230213 scopus 로고
    • An analytic study on the fast‐transient process in small scales
    • 7 D. Y. Tzou and Y. S. Zhang, An analytic study on the fast‐transient process in small scales, Int J Eng Sci 33 (1995), 1449–1463.
    • (1995) Int J Eng Sci , vol.33 , pp. 1449-1463
    • Tzou, D.Y.1    Zhang, Y.S.2
  • 8
    • 0004071129 scopus 로고
    • On the wave behavior and rate effect of thermal and thermomechanical waves
    • 8 R. J. Chiffell, On the wave behavior and rate effect of thermal and thermomechanical waves, M.S. Thesis, University of New Mexico, Albuquerque, NM, 1994.
    • (1994)
    • Chiffell, R.J.1
  • 9
    • 0035916810 scopus 로고    scopus 로고
    • Temperature‐dependent thermal lagging in ultrafast laser heating
    • 9 D. Y. Tzou and K. S. Chiu, Temperature‐dependent thermal lagging in ultrafast laser heating, Int J Heat Mass Transf 44 (2001), 1725–1734.
    • (2001) Int J Heat Mass Transf , vol.44 , pp. 1725-1734
    • Tzou, D.Y.1    Chiu, K.S.2
  • 10
    • 0035916812 scopus 로고    scopus 로고
    • Well‐posedness and solution structure of dual‐phase‐lagging heat conduction
    • 10 L. Wang, M. Xu and X. Zhou, Well‐posedness and solution structure of dual‐phase‐lagging heat conduction, Int J Heat Mass Transf 44 (2001), 1659–1669.
    • (2001) Int J Heat Mass Transf , vol.44 , pp. 1659-1669
    • Wang, L.1    Xu, M.2    Zhou, X.3
  • 11
    • 0003875121 scopus 로고    scopus 로고
    • Dual‐phase‐lagging heat conduction
    • 11 L. Wang and X. Zhou, Dual‐phase‐lagging heat conduction, Shandong University Press, Jinan, 2000.
    • (2000)
    • Wang, L.1    Zhou, X.2
  • 12
    • 0032124942 scopus 로고    scopus 로고
    • Solution for non‐Fourier dual phase lag heat conduction in a semi‐infinite slab with surface heat flux
    • 12 P. Antaki, Solution for non‐Fourier dual phase lag heat conduction in a semi‐infinite slab with surface heat flux, Int J Heat Mass Transf 41 (1998), 2253–2258.
    • (1998) Int J Heat Mass Transf , vol.41 , pp. 2253-2258
    • Antaki, P.1
  • 13
    • 0345040704 scopus 로고    scopus 로고
    • Wavy, wavelike, diffusive thermal responses of finite rigid slabs to high‐speed heating of laser‐pulses
    • 13 D. W. Tang and N. Araki, Wavy, wavelike, diffusive thermal responses of finite rigid slabs to high‐speed heating of laser‐pulses, Int J Heat Mass Transf 42 (1999), 855–860.
    • (1999) Int J Heat Mass Transf , vol.42 , pp. 855-860
    • Tang, D.W.1    Araki, N.2
  • 14
    • 0031147655 scopus 로고    scopus 로고
    • The unsteady solution of a unified heat conduction equation
    • 14 C. K. Lin, C. C. Hwang, and Y. P. Chang, The unsteady solution of a unified heat conduction equation, Int J Heat Mass Transf 40 (1997), 1716–1719.
    • (1997) Int J Heat Mass Transf , vol.40 , pp. 1716-1719
    • Lin, C.K.1    Hwang, C.C.2    Chang, Y.P.3
  • 15
    • 0342424203 scopus 로고    scopus 로고
    • The thermal behavior of thin metal films in the hyperbolic two‐step model
    • 15 M. K. Al‐Nimr and V. S. Arpaci, The thermal behavior of thin metal films in the hyperbolic two‐step model, Int J Heat Mass Transf 43 (2000), 2021–2028.
    • (2000) Int J Heat Mass Transf , vol.43 , pp. 2021-2028
    • Al‐Nimr, M.K.1    Arpaci, V.S.2
  • 16
    • 0001883430 scopus 로고    scopus 로고
    • Numerical study of ultrashort laser pulse interactions with metal films
    • 16 J. K. Chen and J. E. Beraun, Numerical study of ultrashort laser pulse interactions with metal films, Numer Heat Transf Part A 40 (2001), 1–20.
    • (2001) Numer Heat Transf Part A , vol.40 , pp. 1-20
    • Chen, J.K.1    Beraun, J.E.2
  • 17
    • 0042234530 scopus 로고    scopus 로고
    • A finite difference scheme for solving the heat transport equation at the microscale
    • 17 W. Dai and R. Nassar, A finite difference scheme for solving the heat transport equation at the microscale, Numer Methods Partial Differential Eq 15 (1999), 697–708.
    • (1999) Numer Methods Partial Differential Eq , vol.15 , pp. 697-708
    • Dai, W.1    Nassar, R.2
  • 18
    • 0035068667 scopus 로고    scopus 로고
    • A finite difference scheme for solving a three‐dimensional heat transport equation in a thin film with microscale thickness
    • 18 W. Dai and R. Nassar, A finite difference scheme for solving a three‐dimensional heat transport equation in a thin film with microscale thickness, Int J Numer Methods Eng 50 (2001), 1865–1880.
    • (2001) Int J Numer Methods Eng , vol.50 , pp. 1865-1880
    • Dai, W.1    Nassar, R.2
  • 19
    • 0035879146 scopus 로고    scopus 로고
    • A compact finite difference scheme for solving a one‐dimensional heat transport equation at the microscale
    • 19 W. Dai and R. Nassar, A compact finite difference scheme for solving a one‐dimensional heat transport equation at the microscale, J Comput Appl Math 130 (2001), 431–441.
    • (2001) J Comput Appl Math , vol.130 , pp. 431-441
    • Dai, W.1    Nassar, R.2
  • 20
    • 0001295744 scopus 로고    scopus 로고
    • A compact finite difference scheme for solving a three‐dimensional heat transport equation in a thin film
    • 20 W. Dai and R. Nassar, A compact finite difference scheme for solving a three‐dimensional heat transport equation in a thin film, Numer Methods Partial Differential Eq 16 (2000), 441–458.
    • (2000) Numer Methods Partial Differential Eq , vol.16 , pp. 441-458
    • Dai, W.1    Nassar, R.2
  • 21
    • 0001734083 scopus 로고
    • Alternating direction and semi‐explicit difference methods for parabolic partial differential equations
    • 21 M. Lees, Alternating direction and semi‐explicit difference methods for parabolic partial differential equations, Numer Math 3 (1961), 398–412.
    • (1961) Numer Math , vol.3 , pp. 398-412
    • Lees, M.1
  • 22
    • 84968520057 scopus 로고
    • A linear three‐level difference scheme for quasilinear parabolic equations
    • 22 M. Lees, A linear three‐level difference scheme for quasilinear parabolic equations, Math Comp 20 (1966), 516–522.
    • (1966) Math Comp , vol.20 , pp. 516-522
    • Lees, M.1
  • 23
    • 0037039254 scopus 로고    scopus 로고
    • Well‐posedness of dual‐phase‐lagging heat conduction equation: higher dimensions
    • 23 L. Wang and M. Xu, Well‐posedness of dual‐phase‐lagging heat conduction equation: higher dimensions, Int J Heat Mass Transf 45 (2002), 1165–1171.
    • (2002) Int J Heat Mass Transf , vol.45 , pp. 1165-1171
    • Wang, L.1    Xu, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.