메뉴 건너뛰기




Volumn 13, Issue 1, 2005, Pages 27-41

Optimal Mixing Enhancement in 3-D Pipe Flow

Author keywords

feedback; Lyapunov methods; mixing; optimality; output; partial differential equations

Indexed keywords

ACTUATORS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; INTEGRAL EQUATIONS; LYAPUNOV METHODS; NAVIER STOKES EQUATIONS; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; SYSTEM STABILITY; THEOREM PROVING; VECTORS;

EID: 12344282968     PISSN: 10636536     EISSN: 15580865     Source Type: Journal    
DOI: 10.1109/TCST.2004.838544     Document Type: Article
Times cited : (57)

References (32)
  • 1
    • 0042593090 scopus 로고    scopus 로고
    • Control of mixing by boundary feedback in 2-D channel flow
    • O. M. Aamo, M. Krstić, and T. R. Bewley, “Control of mixing by boundary feedback in 2-D channel flow,” Automatica, vol. 39, no. 9, pp. 1597–1606, 2003.
    • (2003) Automatica , vol.39 , Issue.9 , pp. 1597-1606
    • Aamo, O.M.1    Krstić, M.2    Bewley, T.R.3
  • 2
    • 0030139713 scopus 로고    scopus 로고
    • An efficient method for temporal integration of the Navier-Stokes equations in confined axisymmetric geometry
    • K. Akselvoll and P. Moin, “An efficient method for temporal integration of the Navier-Stokes equations in confined axisymmetric geometry,” J. Computat. Phys., vol. 125, pp. 454–463, 1996.
    • (1996) J. Computat. Phys. , vol.125 , pp. 454-463
    • Akselvoll, K.1    Moin, P.2
  • 3
    • 0029487921 scopus 로고
    • Active control in combustion systems
    • Dec.
    • A. M. Annaswamy and A. F. Ghoniem, “Active control in combustion systems,” IEEE Control Syst. Mag., vol. 15, no. 6, pp. 49–63, Dec. 1995.
    • (1995) IEEE Control Syst. Mag. , vol.15 , Issue.6 , pp. 49-63
    • Annaswamy, A.M.1    Ghoniem, A.F.2
  • 4
    • 0021443337 scopus 로고
    • Stirring by chaotic advection
    • H. Aref, “Stirring by chaotic advection,” J. Fluid Mech., vol. 143, pp. 1–21, 1984.
    • (1984) J. Fluid Mech. , vol.143 , pp. 1-21
    • Aref, H.1
  • 5
    • 0022473662 scopus 로고
    • Laminar mixing and chaotic mixing in several cavity flows
    • W.-L. Chien, H. Rising, and J. M. Ottino, “Laminar mixing and chaotic mixing in several cavity flows,” J. Fluid Mech., vol. 170, pp. 355–377, 1986.
    • (1986) J. Fluid Mech. , vol.170 , pp. 355-377
    • Chien, W.-L.1    Rising, H.2    Ottino, J.M.3
  • 7
    • 0033337185 scopus 로고    scopus 로고
    • Control of mixing in fluid flow: A maximum entropy approach
    • Oct.
    • D. D’Alessandro, M. Dahleh, and I. Mezić, “Control of mixing in fluid flow: A maximum entropy approach,” IEEE Trans. Autom. Control, vol. 44, no. 10, pp. 1852–1863, Oct. 1999.
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.10 , pp. 1852-1863
    • D’Alessandro, D.1    Dahleh, M.2    Mezić, I.3
  • 8
    • 0000932169 scopus 로고
    • Numerical study of the dynamics of a forced shear layer
    • A. F. Ghoniem and K. K. Ng, “Numerical study of the dynamics of a forced shear layer,” Phys. Fluids, vol. 30, no. 3, pp. 706–721, 1987.
    • (1987) Phys. Fluids , vol.30 , Issue.3 , pp. 706-721
    • Ghoniem, A.F.1    Ng, K.K.2
  • 9
    • 0001229490 scopus 로고    scopus 로고
    • Finite time transport in aperiodic flows
    • G. Haller and A. C. Poje, “Finite time transport in aperiodic flows,” Physica D, vol. 119, pp. 352–380, 1998.
    • (1998) Physica D , vol.119 , pp. 352-380
    • Haller, G.1    Poje, A.C.2
  • 10
    • 0034147430 scopus 로고    scopus 로고
    • Finding finite-time invariant manifolds in two-dimensional velocity fields
    • G. Haller, “Finding finite-time invariant manifolds in two-dimensional velocity fields,” Chaos, vol. 10, no. 1, 2000.
    • (2000) Chaos , vol.10 , Issue.1
    • Haller, G.1
  • 11
    • 0034547788 scopus 로고    scopus 로고
    • Lagrangian coherent structures and mixing in two-dimensional turbulence
    • G. Haller and G. Yuan, “Lagrangian coherent structures and mixing in two-dimensional turbulence,” Physica D, vol. 147, pp. 352–370, 2000.
    • (2000) Physica D , vol.147 , pp. 352-370
    • Haller, G.1    Yuan, G.2
  • 12
    • 0034823558 scopus 로고    scopus 로고
    • Distinguished material surfaces and coherent structures in three-dimensional fluid flows
    • G. Haller, “Distinguished material surfaces and coherent structures in three-dimensional fluid flows,” Physica D, vol. 149, pp. 248–277, 2001.
    • (2001) Physica D , vol.149 , pp. 248-277
    • Haller, G.1
  • 13
    • 0022808917 scopus 로고
    • Analysis of chaotic mixing in two model systems
    • D. V. Khakhar, H. Rising, and J. M. Ottino, “Analysis of chaotic mixing in two model systems,” J. Fluid Mech., vol. 172, pp. 419–451, 1986.
    • (1986) J. Fluid Mech. , vol.172 , pp. 419-451
    • Khakhar, D.V.1    Rising, H.2    Ottino, J.M.3
  • 16
    • 0003427482 scopus 로고
    • Nonlinear and Adaptive Control Design
    • New York: Wiley
    • M. Krstić, I. Kanellakopoulos, and P. Kokotović, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
    • (1995)
    • Krstić, M.1    Kanellakopoulos, I.2    Kokotović, P.3
  • 17
    • 0024902053 scopus 로고
    • Experiments on mixing due to chaotic advection in a cavity
    • C. W. Leong and J. M. Ottino, “Experiments on mixing due to chaotic advection in a cavity,” J. Fluid Mech., vol. 209, pp. 463–499, 1989.
    • (1989) J. Fluid Mech. , vol.209 , pp. 463-499
    • Leong, C.W.1    Ottino, J.M.2
  • 18
    • 0032091264 scopus 로고    scopus 로고
    • Patchiness: A new diagnostic for Lagrangian trajectory analysis in time-dependent fluid flows
    • N. Malhotra, I. Mezić, and S. Wiggins, “Patchiness: A new diagnostic for Lagrangian trajectory analysis in time-dependent fluid flows,” Int. J. Bifurcation Chaos, vol. 8, no. 6, pp. 1053–1093, 1998.
    • (1998) Int. J. Bifurcation Chaos , vol.8 , Issue.6 , pp. 1053-1093
    • Malhotra, N.1    Mezić, I.2    Wiggins, S.3
  • 19
    • 0003516951 scopus 로고
    • On geometrical and statistical properties of dynamical systems: Theory and applications
    • Ph.D. dissertation, California Inst. Tech., Pasadena
    • I. Mezić, “On geometrical and statistical properties of dynamical systems: Theory and applications,” Ph.D. dissertation, California Inst. Tech., Pasadena, 1994.
    • (1994)
    • Mezić, I.1
  • 20
    • 0033098238 scopus 로고    scopus 로고
    • A method for visualization of invariant sets of dynamical systems based on the ergodic partition
    • I. Mezić and S. Wiggins, “A method for visualization of invariant sets of dynamical systems based on the ergodic partition,” Chaos, vol. 9, no. 1, pp. 213–218, 1999.
    • (1999) Chaos , vol.9 , Issue.1 , pp. 213-218
    • Mezić, I.1    Wiggins, S.2
  • 21
    • 6344266965 scopus 로고    scopus 로고
    • Nonlinear dynamics and ergodic theory methods in control of fluid flows: Theory and applications
    • I. Mezić, “Nonlinear dynamics and ergodic theory methods in control of fluid flows: Theory and applications,” in Proc. 2001 AFOSR Workshop Dynamics Control, 2001.
    • (2001) Proc. 2001 AFOSR Workshop Dynamics Control
    • Mezić, I.1
  • 22
    • 22244477095 scopus 로고    scopus 로고
    • Quantifying transport in numerically generated velocity fields
    • P. D. Miller, C. K. R. T. Jones, A. M. Rogerson, and L. J. Pratt, “Quantifying transport in numerically generated velocity fields,” Physica D, vol. 110, pp. 105–122, 1997.
    • (1997) Physica D , vol.110 , pp. 105-122
    • Miller, P.D.1    Jones, C.K.R.T.2    Rogerson, A.M.3    Pratt, L.J.4
  • 23
    • 0034440061 scopus 로고    scopus 로고
    • Controlling vortex motion and chaotic advection
    • Sydney, Australia, Dec.
    • B. R. Noack, I. Mezić, and A. Banaszuk, “Controlling vortex motion and chaotic advection,” in Proc. 39th IEEE Conf. Decision Control, Sydney, Australia, Dec. 11–15, 2000, pp. 1716–1723.
    • (2000) Proc. 39th IEEE Conf. Decision Control , pp. 11-15
    • Noack, B.R.1    Mezić, I.2    Banaszuk, A.3
  • 24
    • 85040901747 scopus 로고
    • The Kinematics of Mixing: Stretching, Chaos, and Transport
    • Cambridge, U.K.: Cambridge Univ. Press
    • J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge, U.K.: Cambridge Univ. Press, 1989.
    • (1989)
    • Ottino, J.M.1
  • 25
    • 0025169297 scopus 로고
    • Mixing, chaotic advection, and turbulence
    • J. M. Ottino, “Mixing, chaotic advection, and turbulence,” Annu. Rev. Fluid Mech., vol. 22, pp. 207–253, 1990.
    • (1990) Annu. Rev. Fluid Mech. , vol.22 , pp. 207-253
    • Ottino, J.M.1
  • 26
    • 0001323204 scopus 로고    scopus 로고
    • The geometry and statistics of mixing in aperiodic flows
    • A. C. Poje, G. Haller, and I. Mezić, “The geometry and statistics of mixing in aperiodic flows,” Phys. Fluids, vol. 11, no. 10, 1999.
    • (1999) Phys. Fluids , vol.11 , Issue.10
    • Poje, A.C.1    Haller, G.2    Mezić, I.3
  • 27
    • 0033368829 scopus 로고    scopus 로고
    • Geometry of cross-stream mixing in a double-gyre ocean model
    • A. C. Poje and G. Haller, “Geometry of cross-stream mixing in a double-gyre ocean model,” J. Phys. Oceanogr., vol. 29, pp. 1469–1665, 1999.
    • (1999) J. Phys. Oceanogr. , vol.29 , pp. 1469-1665
    • Poje, A.C.1    Haller, G.2
  • 28
    • 0025431578 scopus 로고
    • An analytical study of transport, mixing, and chaos in an unsteady vortical flow
    • V. Rom-Kedar, A. Leonard, and S. Wiggins, “An analytical study of transport, mixing, and chaos in an unsteady vortical flow,” J. Fluid Mech., vol. 214, pp. 347–394, 1990.
    • (1990) J. Fluid Mech. , vol.214 , pp. 347-394
    • Rom-Kedar, V.1    Leonard, A.2    Wiggins, S.3
  • 29
    • 0031075062 scopus 로고    scopus 로고
    • Output-to-state stability and detectability of nonlinear systems
    • E. D. Sontag and Y. Wang, “Output-to-state stability and detectability of nonlinear systems,” Syst. Control Lett., vol. 29, pp. 279–290, 1997.
    • (1997) Syst. Control Lett. , vol.29 , pp. 279-290
    • Sontag, E.D.1    Wang, Y.2
  • 30
    • 0348241184 scopus 로고    scopus 로고
    • Comments on integral variants of ISS
    • E. D. Sontag, “Comments on integral variants of ISS,” Syst. Control Lett., vol. 34, pp. 93–100, 1998.
    • (1998) Syst. Control Lett. , vol.34 , pp. 93-100
    • Sontag, E.D.1
  • 31
    • 0025415187 scopus 로고
    • A comparative computational and experimental study of chaotic mixing of viscous fluids
    • P. D. Swanson and J. M. Ottino, “A comparative computational and experimental study of chaotic mixing of viscous fluids,” J. Fluid Mech., vol. 213, pp. 227–249, 1990.
    • (1990) J. Fluid Mech. , vol.213 , pp. 227-249
    • Swanson, P.D.1    Ottino, J.M.2
  • 32
    • 0032529757 scopus 로고    scopus 로고
    • Comparison of mixing properties in convection with the particle-line method
    • A. A. Ten, Y. Y. Podladchikov, D. A. Yuan, T. B. Larsen, and A. V. Malevsky, “Comparison of mixing properties in convection with the particle-line method,” Geophys. Res. Lett., vol. 25, pp. 3205–3208, 1998.
    • (1998) Geophys. Res. Lett. , vol.25 , pp. 3205-3208
    • Ten, A.A.1    Podladchikov, Y.Y.2    Yuan, D.A.3    Larsen, T.B.4    Malevsky, A.V.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.