메뉴 건너뛰기




Volumn 14, Issue 12, 2002, Pages 4130-4151

Nonlinear evolution of nonuniformly heated falling liquid films

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; HEAT TRANSFER; INTERFACES (MATERIALS); LIQUIDS; PERTURBATION TECHNIQUES; TEMPERATURE DISTRIBUTION;

EID: 0036953286     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1515270     Document Type: Article
Times cited : (89)

References (38)
  • 1
    • 33645843688 scopus 로고
    • On cellular convection driven surface tension gradients effects of mean surface tension and surface viscosity
    • L. E. Scriven and C. V. Sternling, "On cellular convection driven surface tension gradients effects of mean surface tension and surface viscosity," J. Fluid Mech. 19, 321 (1964).
    • (1964) J. Fluid Mech. , vol.19 , pp. 321
    • Scriven, L.E.1    Sternling, C.V.2
  • 3
    • 36849122986 scopus 로고
    • Stability of liquid flow down an inclined plane
    • C.-S. Yih, "Stability of liquid flow down an inclined plane," Phys. Fluids 6, 321 (1963).
    • (1963) Phys. Fluids , vol.6 , pp. 321
    • Yih, C.-S.1
  • 4
    • 84958432524 scopus 로고
    • Wave formation in laminar flow down an inclined plane
    • T. B. Benjamin, "Wave formation in laminar flow down an inclined plane," J. Fluid Mech. 2, 554 (1957).
    • (1957) J. Fluid Mech. , vol.2 , pp. 554
    • Benjamin, T.B.1
  • 5
    • 0000357428 scopus 로고
    • Instabilities of a liquid film flowing down a slightly inclined plane
    • J. M. Floryan, S. H. Davis, and R. E. Kelly, "Instabilities of a liquid film flowing down a slightly inclined plane," Phys. Fluids 30, 983 (1987).
    • (1987) Phys. Fluids , vol.30 , pp. 983
    • Floryan, J.M.1    Davis, S.H.2    Kelly, R.E.3
  • 6
    • 36549093225 scopus 로고
    • The mechanism for surface wave instability in liquid film flow
    • R. E. Kelly, D. A. Goussis, S. P. Lin, and F. K. Hsu, "The mechanism for surface wave instability in liquid film flow," Phys. Fluids A 1, 819 (1989).
    • (1989) Phys. Fluids A , vol.1 , pp. 819
    • Kelly, R.E.1    Goussis, D.A.2    Lin, S.P.3    Hsu, F.K.4
  • 7
    • 0025475598 scopus 로고
    • The mechanism for the long-wave instability in thin liquid films
    • M. K. Smith, "The mechanism for the long-wave instability in thin liquid films," J. Fluid Mech. 217, 469 (1990).
    • (1990) J. Fluid Mech. , vol.217 , pp. 469
    • Smith, M.K.1
  • 8
    • 0027391866 scopus 로고
    • Measurements of the primary instabilities of film flows
    • J. Liu, J. D. Paul, and J. P. Gollub, "Measurements of the primary instabilities of film flows," J. Fluid Mech. 250, 69 (1993).
    • (1993) J. Fluid Mech. , vol.250 , pp. 69
    • Liu, J.1    Paul, J.D.2    Gollub, J.P.3
  • 9
    • 0028154461 scopus 로고
    • Solitary wave dynamics of film flows
    • J. Liu and J. P. Gollub, "Solitary wave dynamics of film flows," Phys. Fluids 6, 1702 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 1702
    • Liu, J.1    Gollub, J.P.2
  • 10
    • 85171998034 scopus 로고
    • Long waves on liquid films
    • D. J. Benney, "Long waves on liquid films," J. Math. Phys. 45, 150 (1966).
    • (1966) J. Math. Phys. , vol.45 , pp. 150
    • Benney, D.J.1
  • 11
    • 0036677135 scopus 로고    scopus 로고
    • Nonlinear dynamics of temporally excited falling liquid films
    • A. Oron and O. Gottlieb, "Nonlinear dynamics of temporally excited falling liquid films," Phys. Fluids 14, 2622 (2002).
    • (2002) Phys. Fluids , vol.14 , pp. 2622
    • Oron, A.1    Gottlieb, O.2
  • 12
    • 84972262906 scopus 로고
    • Nonlinear stability of evaporating/condensing liquid films
    • J. P. Burelbach, S. G. Bankoff, and S. H. Davis, "Nonlinear stability of evaporating/condensing liquid films," J. Fluid Mech. 195, 463 (1988).
    • (1988) J. Fluid Mech. , vol.195 , pp. 463
    • Burelbach, J.P.1    Bankoff, S.G.2    Davis, S.H.3
  • 13
    • 0026222893 scopus 로고
    • Long-wave instabilities of heated falling films - Two-dimensional theory of uniform layers
    • S. W. Joo, S. H. Davis, and S. G. Bankoff, "Long-wave instabilities of heated falling films-two-dimensional theory of uniform layers," J. Fluid Mech. 230, 117 (1991).
    • (1991) J. Fluid Mech. , vol.230 , pp. 117
    • Joo, S.W.1    Davis, S.H.2    Bankoff, S.G.3
  • 14
    • 0031480080 scopus 로고    scopus 로고
    • Long-scale evolution of thin liquid films
    • A. Oron, S. H. Davis, and S. G. Bankoff, "Long-scale evolution of thin liquid films," Rev. Mod. Phys. 69, 931 (1997).
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 931
    • Oron, A.1    Davis, S.H.2    Bankoff, S.G.3
  • 15
    • 0020829094 scopus 로고
    • On solitary waves running down an inclined plane
    • A. Pumir, P. Manneville, and Y. Pomeau, "On solitary waves running down an inclined plane," J. Fluid Mech. 135, 27 (1983).
    • (1983) J. Fluid Mech. , vol.135 , pp. 27
    • Pumir, A.1    Manneville, P.2    Pomeau, Y.3
  • 16
    • 33744939811 scopus 로고
    • Bounded and unbounded patterns of the Benney equation
    • P. Rosenau, A. Oron, and J. M. Hyman, "Bounded and unbounded patterns of the Benney equation," Phys. Fluids A 4, 1102 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 1102
    • Rosenau, P.1    Oron, A.2    Hyman, J.M.3
  • 17
    • 0001778457 scopus 로고
    • Wave flow regimes of a thin layer of viscous fluid subject to gravity
    • V. Ya. Shkadov, "Wave flow regimes of a thin layer of viscous fluid subject to gravity," Akad. Nauk SSSR, Mekh. Zhidk. Gaza 2, 43 (1967).
    • (1967) Akad. Nauk SSSR, Mekh. Zhidk. Gaza , vol.2 , pp. 43
    • Shkadov, V.Ya.1
  • 18
    • 0000232672 scopus 로고    scopus 로고
    • Improved modeling of flows down inclined planes
    • C. Ruyer-Quil and P. Manneville, "Improved modeling of flows down inclined planes," Eur. Phys. J. B 15, 357 (2000).
    • (2000) Eur. Phys. J. B , vol.15 , pp. 357
    • Ruyer-Quil, C.1    Manneville, P.2
  • 19
    • 0036143852 scopus 로고    scopus 로고
    • Further accuracy and convergence results on the modeling of flows down inclined planes by weighted-residual approximations
    • C. Ruyer-Quil and P. Manneville, "Further accuracy and convergence results on the modeling of flows down inclined planes by weighted-residual approximations," Phys. Fluids 14, 170 (2002).
    • (2002) Phys. Fluids , vol.14 , pp. 170
    • Ruyer-Quil, C.1    Manneville, P.2
  • 20
    • 36549092404 scopus 로고
    • Steady thermocapillary flows of thin liquid layers
    • M. J. Tan, S. G. Bankoff, and S. H. Davis, "Steady thermocapillary flows of thin liquid layers," Phys. Fluids A 2, 313 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 313
    • Tan, M.J.1    Bankoff, S.G.2    Davis, S.H.3
  • 21
    • 0031200720 scopus 로고    scopus 로고
    • Long-wavelength surface-tension-driven Bénard convection experiment and theory
    • S. J. VanHook, M. F. Schatz, J. B. Swift, W. D. McCormick, and H. L. Swinney, "Long-wavelength surface-tension-driven Bénard convection experiment and theory," J. Fluid Mech. 345, 45 (1997).
    • (1997) J. Fluid Mech. , vol.345 , pp. 45
    • VanHook, S.J.1    Schatz, M.F.2    Swift, J.B.3    McCormick, W.D.4    Swinney, H.L.5
  • 22
    • 0032650201 scopus 로고    scopus 로고
    • Control of long-wavelength Marangoni-Bénard convection
    • A. C. Or, R. E. Kelly, L. Cortelezzi, and J. L. Speyer, "Control of long- wavelength Marangoni-Bénard convection," J. Fluid Mech. 387, 321 (1999).
    • (1999) J. Fluid Mech. , vol.387 , pp. 321
    • Or, A.C.1    Kelly, R.E.2    Cortelezzi, L.3    Speyer, J.L.4
  • 24
    • 0037170472 scopus 로고    scopus 로고
    • Long-wave instabilities of nonuniformly heated falling films
    • S. Miladinova, S. Slavtchev, G. Lebon, and J. C. Legros, "Long-wave instabilities of nonuniformly heated falling films," J. Fluid Mech. 453, 153 (2002).
    • (2002) J. Fluid Mech. , vol.453 , pp. 153
    • Miladinova, S.1    Slavtchev, S.2    Lebon, G.3    Legros, J.C.4
  • 25
    • 0036070590 scopus 로고    scopus 로고
    • Effect of nonuniform wall heating on the three-dimensional secondary instability of falling films
    • S. Miladinova, D. Staykova, G. Lebon, and B. Scheid, "Effect of nonuniform wall heating on the three-dimensional secondary instability of falling films," Acta Mech. 156, 79 (2002).
    • (2002) Acta Mech. , vol.156 , pp. 79
    • Miladinova, S.1    Staykova, D.2    Lebon, G.3    Scheid, B.4
  • 28
    • 0002128201 scopus 로고    scopus 로고
    • Numerical modeling of thermocapillary reverse flow in thin liquid films under local heating
    • I. V. Marchuk and O. A. Kabov, "Numerical modeling of thermocapillary reverse flow in thin liquid films under local heating," Russ. J. Eng. Thermophys. 8(1-4), 17 (1998).
    • (1998) Russ. J. Eng. Thermophys. , vol.8 , Issue.1-4 , pp. 17
    • Marchuk, V.1    Kabov, O.A.2
  • 29
    • 0012568255 scopus 로고    scopus 로고
    • Free surface deformation by thermocapillary convection in a flowing locally heated thin liquid layer
    • O. A. Kabov, B. Scheid, I. V. Marchuk, and J. C. Legros, "Free surface deformation by thermocapillary convection in a flowing locally heated thin liquid layer," Mechanica Zhidkosti i Gaza 3, 200 (2001).
    • (2001) Mechanica Zhidkosti I Gaza , vol.3 , pp. 200
    • Kabov, O.A.1    Scheid, B.2    Marchuk, I.V.3    Legros, J.C.4
  • 30
    • 85124575341 scopus 로고    scopus 로고
    • On the instability of a falling film due to localized heating
    • to be published
    • J. M. Skotheim, U. Thiele, and B. Scheid, "On the instability of a falling film due to localized heating," J. Fluid Mech. (to be published).
    • J. Fluid Mech.
    • Skotheim, J.M.1    Thiele, U.2    Scheid, B.3
  • 31
    • 0000790752 scopus 로고    scopus 로고
    • Thermal imaging study of the liquid film flowing on vertical surface with local heat source
    • O. A. Kabov, I. V. Marchuk, and V. M. Chupin, "Thermal imaging study of the liquid film flowing on vertical surface with local heat source," Russ. J. Eng. Thermophys, 6(2), 104 (1996).
    • (1996) Russ. J. Eng. Thermophys. , vol.6 , Issue.2 , pp. 104
    • Kabov, O.A.1    Marchuk, I.V.2    Chupin, V.M.3
  • 32
    • 0001356544 scopus 로고    scopus 로고
    • Numerical simulation of heat transfer in a falling liquid film with allowance for heat conduction in heaters
    • I. V. Marchuk and O. A. Kabov, "Numerical simulation of heat transfer in a falling liquid film with allowance for heat conduction in heaters," Russ. J. Eng. Thermophys. 10(2), 147 (2000).
    • (2000) Russ. J. Eng. Thermophys. , vol.10 , Issue.2 , pp. 147
    • Marchuk, I.V.1    Kabov, O.A.2
  • 33
    • 0030208695 scopus 로고    scopus 로고
    • A mechanism for rivulet formation in heated falling films
    • S. W. Joo, S. H. Davis, and S. G. Bankoff, "A mechanism for rivulet formation in heated falling films," J. Fluid Mech. 321, 279 (1996).
    • (1996) J. Fluid Mech. , vol.321 , pp. 279
    • Joo, S.W.1    Davis, S.H.2    Bankoff, S.G.3
  • 34
    • 0012518185 scopus 로고    scopus 로고
    • Three-dimensional simulation of instabilities and rivulet formation in heated falling films
    • B. Ramaswamy, S. Krishnamoorthy, and S. W. Joo, "Three-dimensional simulation of instabilities and rivulet formation in heated falling films," J. Comput. Phys. 131, 70 (1997).
    • (1997) J. Comput. Phys. , vol.131 , pp. 70
    • Ramaswamy, B.1    Krishnamoorthy, S.2    Joo, S.W.3
  • 36
    • 0035340387 scopus 로고    scopus 로고
    • Dynamics of a condensing liquid film under disjoining-conjoining pressures
    • A. Oron and S. G. Bankoff, "Dynamics of a condensing liquid film under disjoining-conjoining pressures," Phys. Fluids 13, 1107 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 1107
    • Oron, A.1    Bankoff, S.G.2
  • 37
    • 0028038448 scopus 로고
    • Traveling waves on vertical films: Numerical analysis using the finite element method
    • T. R. Salamon, R. C. Armstrong, and R. A. Brown, "Traveling waves on vertical films: Numerical analysis using the finite element method," Phys. Fluids 6, 2202 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 2202
    • Salamon, T.R.1    Armstrong, R.C.2    Brown, R.A.3
  • 38
    • 0034282011 scopus 로고    scopus 로고
    • Modeling and experimental studies of wave evolution on free falling viscous films
    • L. T. Nguyen and V. Balakotaiah, "Modeling and experimental studies of wave evolution on free falling viscous films," Phys. Fluids 12, 2236 (2000).
    • (2000) Phys. Fluids , vol.12 , pp. 2236
    • Nguyen, L.T.1    Balakotaiah, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.