메뉴 건너뛰기




Volumn 197, Issue 2, 2006, Pages 465-494

Lie-group method for unsteady flows in a semi-infinite expanding or contracting pipe with injection or suction through a porous wall

Author keywords

Lie group; Navier Stokes equations; Similarity solutions; Small perturbations

Indexed keywords

BOUNDARY VALUE PROBLEMS; MATHEMATICAL TRANSFORMATIONS; NAVIER STOKES EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; PIPE; POROUS MATERIALS; ROCKET ENGINES;

EID: 33747340013     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.11.031     Document Type: Article
Times cited : (46)

References (16)
  • 1
    • 33747378397 scopus 로고    scopus 로고
    • Group classification of nonlinear partial differential equations: a new approach to resolving the problem
    • Basarab P., and Lahno V. Group classification of nonlinear partial differential equations: a new approach to resolving the problem. Proceedings of Institute of Mathematics of NAS of Ukraine vol. 43 (2002) 86-92
    • (2002) Proceedings of Institute of Mathematics of NAS of Ukraine , vol.43 , pp. 86-92
    • Basarab, P.1    Lahno, V.2
  • 2
    • 33747359263 scopus 로고    scopus 로고
    • Expanded Lie group transformations and similarity reductions of differential equations
    • Burde G.I. Expanded Lie group transformations and similarity reductions of differential equations. Proceedings of Institute of Mathematics of NAS of Ukraine vol. 43 (2002) 93-101
    • (2002) Proceedings of Institute of Mathematics of NAS of Ukraine , vol.43 , pp. 93-101
    • Burde, G.I.1
  • 3
    • 33747347429 scopus 로고    scopus 로고
    • Classical and nonclassical symmetries of a generalized Boussinesq equation
    • Gandarias M.L., and Bruzon M.S. Classical and nonclassical symmetries of a generalized Boussinesq equation. J. Nonlinear Math. Phys. 5 (1998) 8-12
    • (1998) J. Nonlinear Math. Phys. , vol.5 , pp. 8-12
    • Gandarias, M.L.1    Bruzon, M.S.2
  • 4
    • 0025430127 scopus 로고
    • Unsteady flows in a semi-infinite expanding pipe with injection through wall
    • Goto M., and Uchida S. Unsteady flows in a semi-infinite expanding pipe with injection through wall. Trans. Japan Soc. Aeronautical and Space Sci. 33 9 (1990) 14-27
    • (1990) Trans. Japan Soc. Aeronautical and Space Sci. , vol.33 , Issue.9 , pp. 14-27
    • Goto, M.1    Uchida, S.2
  • 8
    • 0036712506 scopus 로고    scopus 로고
    • Higher mean-flow approximation for solid rocket motors with radially regressing walls
    • Magdalani J., Vyas A.B., and Flandro G.A. Higher mean-flow approximation for solid rocket motors with radially regressing walls. AIAA J. 40 9 (2002) 1780-1788
    • (2002) AIAA J. , vol.40 , Issue.9 , pp. 1780-1788
    • Magdalani, J.1    Vyas, A.B.2    Flandro, G.A.3
  • 9
    • 0032508449 scopus 로고    scopus 로고
    • Finding Lie groups that reduce the order of discrete dynamical systems
    • Moritz B., Schwalm W., and Uherka D. Finding Lie groups that reduce the order of discrete dynamical systems. J. Phys. A 31 (1998) 7379-7402
    • (1998) J. Phys. A , vol.31 , pp. 7379-7402
    • Moritz, B.1    Schwalm, W.2    Uherka, D.3
  • 10
    • 0001870614 scopus 로고
    • The nonclassical method is more general than the direct method for symmetry reductions. An example of the Fitzhugh-Nagumo equation
    • Nucci M.C., and Clarkson P.A. The nonclassical method is more general than the direct method for symmetry reductions. An example of the Fitzhugh-Nagumo equation. Phys. Lett. A 164 (1992) 49-56
    • (1992) Phys. Lett. A , vol.164 , pp. 49-56
    • Nucci, M.C.1    Clarkson, P.A.2
  • 12
    • 0001589299 scopus 로고
    • Boundary layer growth near a rear stagnation point
    • Proudman I., and Johnson K. Boundary layer growth near a rear stagnation point. J. Fluid Mech. 12 (1962) 161-168
    • (1962) J. Fluid Mech. , vol.12 , pp. 161-168
    • Proudman, I.1    Johnson, K.2
  • 14
    • 0015651431 scopus 로고
    • On some exponentially small terms arising in flow through a porous pipe
    • Terrill R.M. On some exponentially small terms arising in flow through a porous pipe. Quart. J. Mech. Appl. Math. 26 3 (1973) 347-354
    • (1973) Quart. J. Mech. Appl. Math. , vol.26 , Issue.3 , pp. 347-354
    • Terrill, R.M.1
  • 15
    • 0014553510 scopus 로고
    • On laminar flow through a uniformly porous pipe
    • Terrill R.M., and Thomas P.W. On laminar flow through a uniformly porous pipe. Appl. Sci. Res. 21 (1969) 37-67
    • (1969) Appl. Sci. Res. , vol.21 , pp. 37-67
    • Terrill, R.M.1    Thomas, P.W.2
  • 16
    • 0034484727 scopus 로고    scopus 로고
    • Lie symmetries of mechanical systems with unilateral holonomic constraints
    • Yi Z., and Fengxiang M. Lie symmetries of mechanical systems with unilateral holonomic constraints. Chinese Sci. Bull. 45 (2000) 1354-1358
    • (2000) Chinese Sci. Bull. , vol.45 , pp. 1354-1358
    • Yi, Z.1    Fengxiang, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.