메뉴 건너뛰기




Volumn 31, Issue 9, 2007, Pages 1899-1906

Exact solution for the pulsating finite gap Dean flow

Author keywords

Dean flow; Exact solution; Navier Stokes equations; Oscillating flow

Indexed keywords

NAVIER STOKES EQUATIONS; PRESSURE GRADIENT; PULSATILE FLOW; STEADY FLOW;

EID: 34047167408     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.06.011     Document Type: Article
Times cited : (22)

References (21)
  • 1
    • 0001076902 scopus 로고
    • Fluid motion in a curved channel
    • Dean W.R. Fluid motion in a curved channel. Proc. Roy. Soc. London A 121 (1928) 402-420
    • (1928) Proc. Roy. Soc. London A , vol.121 , pp. 402-420
    • Dean, W.R.1
  • 2
    • 0004126921 scopus 로고
    • Goldstein S. (Ed), Clarendon Press, Oxford
    • In: Goldstein S. (Ed). Modern Developments in Fluid Dynamics (1938), Clarendon Press, Oxford 315-316
    • (1938) Modern Developments in Fluid Dynamics , pp. 315-316
  • 3
    • 0004168443 scopus 로고
    • Cambridge University Press first published 1879
    • Lamb H. Hydrodynamics. sixth ed. (1932), Cambridge University Press first published 1879
    • (1932) Hydrodynamics. sixth ed.
    • Lamb, H.1
  • 4
    • 0009608745 scopus 로고
    • Oscillatory motion of a viscous liquid in a long straight tube
    • Grace S.F. Oscillatory motion of a viscous liquid in a long straight tube. Philos. Mag. 7 5 (1928) 933-939
    • (1928) Philos. Mag. , vol.7 , Issue.5 , pp. 933-939
    • Grace, S.F.1
  • 5
    • 0002581897 scopus 로고
    • The transverse velocity gradient near the mouths of pipes in which an alternating or continuous flow of air is established
    • Richardson E.G., and Tyler E. The transverse velocity gradient near the mouths of pipes in which an alternating or continuous flow of air is established. Proc. Phys. Soc., No. 231 42 1 (1929) 1-15
    • (1929) Proc. Phys. Soc., No. 231 , vol.42 , Issue.1 , pp. 1-15
    • Richardson, E.G.1    Tyler, E.2
  • 6
    • 33947585445 scopus 로고
    • On the annular effect discovered by E.G. Richardson
    • Sexl Th. On the annular effect discovered by E.G. Richardson. Z. Physik 61 (1930) 349-362
    • (1930) Z. Physik , vol.61 , pp. 349-362
    • Sexl, Th.1
  • 7
    • 34250585981 scopus 로고
    • The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe
    • Uchida S. The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe. J. Appl. Math. (ZAMP) 7 (1956) 403-422
    • (1956) J. Appl. Math. (ZAMP) , vol.7 , pp. 403-422
    • Uchida, S.1
  • 8
    • 55249091059 scopus 로고
    • Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure when the pressure gradient is known
    • Womersley J.R. Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure when the pressure gradient is known. J. Physiol. 127 (1955) 553-556
    • (1955) J. Physiol. , vol.127 , pp. 553-556
    • Womersley, J.R.1
  • 9
    • 0021579212 scopus 로고
    • Oscillatory flow of an incompressible viscous fluid in a straight annular pipe
    • Tsangaris S. Oscillatory flow of an incompressible viscous fluid in a straight annular pipe. J. Mech. Theor. Appl. 3 3 (1984) 467-478
    • (1984) J. Mech. Theor. Appl. , vol.3 , Issue.3 , pp. 467-478
    • Tsangaris, S.1
  • 10
    • 0002799188 scopus 로고
    • On the flow in a channel due to a periodic pressure gradient
    • Drake D.G. On the flow in a channel due to a periodic pressure gradient. Quart. J. Mech. Appl. Math. 18 1 (1965) 1-10
    • (1965) Quart. J. Mech. Appl. Math. , vol.18 , Issue.1 , pp. 1-10
    • Drake, D.G.1
  • 11
    • 0000947390 scopus 로고
    • Unsteady, laminar, incompressible flow through rectangular ducts
    • Fan C., and Chao B.T. Unsteady, laminar, incompressible flow through rectangular ducts. J. Appl. Math. (ZAMP) 16 (1965) 351-360
    • (1965) J. Appl. Math. (ZAMP) , vol.16 , pp. 351-360
    • Fan, C.1    Chao, B.T.2
  • 12
    • 0016546324 scopus 로고
    • Pulsatile fully developed flow in rectangular channels
    • O' Brien V. Pulsatile fully developed flow in rectangular channels. J. Franklin Inst. 300 3 (1975) 225-230
    • (1975) J. Franklin Inst. , vol.300 , Issue.3 , pp. 225-230
    • O' Brien, V.1
  • 13
    • 0037359693 scopus 로고    scopus 로고
    • Exact solution of the Navier-Stokes equations for the fully developed, pulsating flow in a rectangular duct with a constant cross-sectional velocity
    • Tsangaris S., and Vlachakis N.W. Exact solution of the Navier-Stokes equations for the fully developed, pulsating flow in a rectangular duct with a constant cross-sectional velocity. J. Fluids Eng., Trans. ASME 125 (2003) 382-385
    • (2003) J. Fluids Eng., Trans. ASME , vol.125 , pp. 382-385
    • Tsangaris, S.1    Vlachakis, N.W.2
  • 14
    • 11744342625 scopus 로고
    • On the flow of a viscous liquid through a tube of elliptical section under the influence of a periodic pressure gradient
    • Khamrui S.R. On the flow of a viscous liquid through a tube of elliptical section under the influence of a periodic pressure gradient. Bull. Cal. Math. Soc. 49 (1957) 57-60
    • (1957) Bull. Cal. Math. Soc. , vol.49 , pp. 57-60
    • Khamrui, S.R.1
  • 15
    • 0032160388 scopus 로고    scopus 로고
    • Pulsatile flow in tubes of elliptic cross sections
    • Haslam M., and Zamir M. Pulsatile flow in tubes of elliptic cross sections. Ann. Biomed. Eng. 26 (1998) 780-787
    • (1998) Ann. Biomed. Eng. , vol.26 , pp. 780-787
    • Haslam, M.1    Zamir, M.2
  • 16
    • 0344925538 scopus 로고    scopus 로고
    • Exact solution of the Navier-Stokes equations for the oscillating flow in a duct of a cross-section of right-angled isosceles triangle
    • Tsangaris S., and Vlachakis N.W. Exact solution of the Navier-Stokes equations for the oscillating flow in a duct of a cross-section of right-angled isosceles triangle. J. Appl. Math. (ZAMP) 54 6 (2003) 1094-1100
    • (2003) J. Appl. Math. (ZAMP) , vol.54 , Issue.6 , pp. 1094-1100
    • Tsangaris, S.1    Vlachakis, N.W.2
  • 17
    • 85008740015 scopus 로고
    • Stability of flow between arbitrary spaced concentric cylindrical surfaces including the effect of a radial temperature gradient
    • Walowit J., Tsao S., and DiPrima R.C. Stability of flow between arbitrary spaced concentric cylindrical surfaces including the effect of a radial temperature gradient. ASME, J. Appl. Mech. 86 (1964) 585-593
    • (1964) ASME, J. Appl. Mech. , vol.86 , pp. 585-593
    • Walowit, J.1    Tsao, S.2    DiPrima, R.C.3
  • 19
    • 0002998296 scopus 로고
    • The stability of viscous flow between horizontal concentring cylinders
    • Brewster D.B., Grosberg P., and Nissan A.H. The stability of viscous flow between horizontal concentring cylinders. Proc. Roy. Soc. London A 251 (1959) 76-91
    • (1959) Proc. Roy. Soc. London A , vol.251 , pp. 76-91
    • Brewster, D.B.1    Grosberg, P.2    Nissan, A.H.3
  • 20
    • 0023725261 scopus 로고
    • Instability and transition in curved channel flow
    • Finlay W.F., Keller J.B., and Ferziger J.H. Instability and transition in curved channel flow. J. Fluid Mech. 194 (1988) 417-456
    • (1988) J. Fluid Mech. , vol.194 , pp. 417-456
    • Finlay, W.F.1    Keller, J.B.2    Ferziger, J.H.3
  • 21
    • 0035504076 scopus 로고    scopus 로고
    • Three-dimensional instability of a two-layer Dean flow
    • Gelfgat A.Y., Yarin A.L., and Bar-Yoseph R.Z. Three-dimensional instability of a two-layer Dean flow. Phys. Fluids 13 (2001) 3185-3195
    • (2001) Phys. Fluids , vol.13 , pp. 3185-3195
    • Gelfgat, A.Y.1    Yarin, A.L.2    Bar-Yoseph, R.Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.