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Volumn 55, Issue 3, 1997, Pages 573-600

Stokes flow around a bend

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS;

EID: 0031229107     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1466150     Document Type: Article
Times cited : (8)

References (24)
  • 2
    • 0019938398 scopus 로고
    • An infinite-series solution for the creeping motion through an orifice of finite length
    • Z. Dagan, S. Weinbaum, and R. Pfeffer, An infinite-series solution for the creeping motion through an orifice of finite length, J. Fluid Mech. 115, 505-523 (1982)
    • (1982) J. Fluid Mech. , vol.115 , pp. 505-523
    • Dagan, Z.1    Weinbaum, S.2    Pfeffer, R.3
  • 4
    • 0016351191 scopus 로고
    • Slow motion and viscometric motion; Stability and bifurcation of the rest state of a simple fluid
    • D. D. Joseph, Slow motion and viscometric motion; Stability and bifurcation of the rest state of a simple fluid, Arch. Rational Mech. Anal. 56, 99-156 (1974)
    • (1974) Arch. Rational Mech. Anal. , vol.56 , pp. 99-156
    • Joseph, D.D.1
  • 5
    • 0000203562 scopus 로고
    • The convergence of biorthogonal series for biharinonic and Stokes flow edge problems, Part I
    • D. D. Joseph, The convergence of biorthogonal series for biharinonic and Stokes flow edge problems, Part I, SIAM J. Appl. Mech. 33, 337-347 (1977)
    • (1977) SIAM J. Appl. Mech. , vol.33 , pp. 337-347
    • Joseph, D.D.1
  • 6
    • 0344954538 scopus 로고
    • A new separation of variables theory for problems of Stokes flow and elasticity
    • (H. Zorski, Ed.), London, Pitman
    • D. D. Joseph, A new separation of variables theory for problems of Stokes flow and elasticity, In Trends in Applications of Pure Muthematics to Mechanics, Vol. II (H. Zorski, Ed.), London, Pitman, 1979
    • (1979) Trends in Applications of Pure Muthematics to Mechanics , vol.2
    • Joseph, D.D.1
  • 7
    • 0015574372 scopus 로고
    • The free surface on a liquid between cylinders rotating at different speeds, Part I
    • D. D. Joseph and R. L. Fosdick, The free surface on a liquid between cylinders rotating at different speeds, Part I, Arch. Rational Mech. Anal. 49, 321-380 (1973)
    • (1973) Arch. Rational Mech. Anal. , vol.49 , pp. 321-380
    • Joseph, D.D.1    Fosdick, R.L.2
  • 8
    • 0017913921 scopus 로고
    • The convergence of biorthogonal series for biharinonic and Stokes flow edge problems, Part II
    • D. D. Joseph and L. Sturges, The convergence of biorthogonal series for biharinonic and Stokes flow edge problems, Part II, SIAM J. Appl. Math. 34, 7-26 (1978)
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 7-26
    • Joseph, D.D.1    Sturges, L.2
  • 9
    • 0016519225 scopus 로고
    • The free surface on a liquid filling a trench heated from its side
    • D. D. Joseph and L. Sturges, The free surface on a liquid filling a trench heated from its side, J. Fluid Mech. 69, 565-589 (1975)
    • (1975) J. Fluid Mech. , vol.69 , pp. 565-589
    • Joseph, D.D.1    Sturges, L.2
  • 10
    • 0001517228 scopus 로고
    • Convergence of biorthogonal series of biharmonic eigenfunetions by the method of Titchmarsh
    • D. D. Joseph, L. Sturges, and W. H. Warner, Convergence of biorthogonal series of biharmonic eigenfunetions by the method of Titchmarsh, Arch. Rational Mech. Anal. 78, 223-274 (1982)
    • (1982) Arch. Rational Mech. Anal. , vol.78 , pp. 223-274
    • Joseph, D.D.1    Sturges, L.2    Warner, W.H.3
  • 11
    • 38249022610 scopus 로고
    • Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains
    • A. Karageorghis and T. N. Phillips, Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains, J. Comput. Phys. 80, 314-330 (1989)
    • (1989) J. Comput. Phys. , vol.80 , pp. 314-330
    • Karageorghis, A.1    Phillips, T.N.2
  • 12
    • 3242852373 scopus 로고
    • Numerical study of the flow of a viscous fluid in a curved channel
    • M. Kawaguti, Numerical study of the flow of a viscous fluid in a curved channel, Physics of Fluids, vol. 12, 1969, pp. II-101 to 104
    • (1969) Physics of Fluids , vol.12
    • Kawaguti, M.1
  • 13
    • 0030086372 scopus 로고    scopus 로고
    • Biorthogonal series solution of Stokes flow problems in sectorial regions
    • S. A. Khuri, Biorthogonal series solution of Stokes flow problems in sectorial regions. SIAM J. Appl. Math. 56, No. 1, 19-39 (1996)
    • (1996) SIAM J. Appl. Math. , vol.56 , Issue.1 , pp. 19-39
    • Khuri, S.A.1
  • 15
    • 0017448572 scopus 로고
    • Stokes flow in wedge-shaped trenches
    • C. H. Liu and D. D. Joseph, Stokes flow in wedge-shaped trenches, J. Fluid Mech. 42, 443-463 , (1977)
    • (1977) J. Fluid Mech. , vol.42 , pp. 443-463
    • Liu, C.H.1    Joseph, D.D.2
  • 16
    • 0342587821 scopus 로고
    • Stokes flow in conical trenches
    • C. H. Liu and D. D. Joseph, Stokes flow in conical trenches, SIAM J. Appl. Math. 34, 286-296 (1978)
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 286-296
    • Liu, C.H.1    Joseph, D.D.2
  • 17
    • 0024877092 scopus 로고
    • Singular matched eigenfunction expansions for Stokes flow around a corner
    • T. N. Phillips, Singular matched eigenfunction expansions for Stokes flow around a corner, IMA Journal of Applied Mathematics 42, 13-26 (1989)
    • (1989) IMA Journal of Applied Mathematics , vol.42 , pp. 13-26
    • Phillips, T.N.1
  • 18
    • 0023960437 scopus 로고
    • On semi-infinite spectral elements of Poisson problems with reentrant boundary singularities
    • T. N. Phillips and A. R. Davies, On semi-infinite spectral elements of Poisson problems with reentrant boundary singularities, J. Computational Appl. Math. 21, 173-188 (1988)
    • (1988) J. Computational Appl. Math. , vol.21 , pp. 173-188
    • Phillips, T.N.1    Davies, A.R.2
  • 19
    • 2142851071 scopus 로고
    • Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains
    • T. N. Phillips and A. Karageorghis, Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains, SIAM J. Sci. Stat. Comput. 10, 89-103 (1989)
    • (1989) SIAM J. Sci. Stat. Comput. , vol.10 , pp. 89-103
    • Phillips, T.N.1    Karageorghis, A.2
  • 20
    • 0026136474 scopus 로고
    • A conforming spectral collocation strategy for Stokes flow through a channel contraction
    • T. N. Phillips and A. Karageorghis, A conforming spectral collocation strategy for Stokes flow through a channel contraction, Applied Numerical Mathematics 7, 329-345 (1991)
    • (1991) Applied Numerical Mathematics , vol.7 , pp. 329-345
    • Phillips, T.N.1    Karageorghis, A.2
  • 22
    • 0020147770 scopus 로고
    • Matched eigenfunction expansions for slow flow over a slot
    • S. A. Trogdon and D. D. Joseph, Matched eigenfunction expansions for slow flow over a slot, J. Non-Newtonian Fluid Mech. 10, 185-213 (1982)
    • (1982) J. Non-Newtonian Fluid Mech. , vol.10 , pp. 185-213
    • Trogdon, S.A.1    Joseph, D.D.2
  • 23
    • 84977267361 scopus 로고
    • Exact solutions for the unsteady Navier-Stokes equations
    • C. Y. Wang, Exact solutions for the unsteady Navier-Stokes equations, Appl. Mech. Rev. 42, S269-S282 (1989)
    • (1989) Appl. Mech. Rev. , vol.42
    • Wang, C.Y.1
  • 24
    • 0017945581 scopus 로고
    • Stokes flow in a trench between concentric cylinders
    • J. Y. Yoo and D. D. Joseph, Stokes flow in a trench between concentric cylinders, SIAM J. Appl. Math. 34, 247-285 (1978)
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 247-285
    • Yoo, J.Y.1    Joseph, D.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.