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Volumn 41, Issue 6-7, 2005, Pages 629-637

Unsteady motions of a generalized second-grade fluid

Author keywords

Discrete Laplace transform; Exact solutions; Flat plate; Generalized second grade fluid; Unsteady flows

Indexed keywords

LAPLACE TRANSFORMS; MATHEMATICAL MODELS; PRESSURE EFFECTS; RIGIDITY; UNSTEADY FLOW;

EID: 23244438700     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.01.029     Document Type: Article
Times cited : (62)

References (38)
  • 1
    • 0002565890 scopus 로고
    • The non-linear field theories of mechanics
    • Springer
    • C. Truesdell, and W. Noll The non-linear field theories of mechanics Handbuch der Physik. III/3 1965 Springer
    • (1965) Handbuch der Physik. , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 2
    • 0020292255 scopus 로고
    • A note on the Falkner-Skan flows of a non-Newtonian fluid
    • K.R. Rajagopal A note on the Falkner-Skan flows of a non-Newtonian fluid Int. J. Non-Lin. Mech. 17 1982 369
    • (1982) Int. J. Non-Lin. Mech. , vol.17 , pp. 369
    • Rajagopal, K.R.1
  • 3
    • 0000392754 scopus 로고
    • Flow of viscoelastic fluids between rotating discs
    • K.R. Rajagopal Flow of viscoelastic fluids between rotating discs Theor. Comput. Fluid Dyn. 3 1992 185
    • (1992) Theor. Comput. Fluid Dyn. , vol.3 , pp. 185
    • Rajagopal, K.R.1
  • 4
    • 0021202521 scopus 로고
    • On the creeping flow of the second-order fluid
    • K.R. Rajagopal On the creeping flow of the second-order fluid J. Non-Newtonian Fluid Mech. 15 1984 239
    • (1984) J. Non-Newtonian Fluid Mech. , vol.15 , pp. 239
    • Rajagopal, K.R.1
  • 5
    • 45949119565 scopus 로고
    • The flow of a second order fluid between rotating parallel plates
    • K.R. Rajagopal The flow of a second order fluid between rotating parallel plates J. Non-Newtonian Fluid Mech. 9 1981 185
    • (1981) J. Non-Newtonian Fluid Mech. , vol.9 , pp. 185
    • Rajagopal, K.R.1
  • 7
    • 0000610314 scopus 로고
    • Flow of a viscoelastic fluid over a stretching sheet
    • K.R. Rajagopal, T.Y. Na, and A.S. Gupta Flow of a viscoelastic fluid over a stretching sheet Rheologica Acta 23 1984 213
    • (1984) Rheologica Acta , vol.23 , pp. 213
    • Rajagopal, K.R.1    Na, T.Y.2    Gupta, A.S.3
  • 8
    • 0020880797 scopus 로고
    • A note on the Falkner-Skan flows of a non-Newtonian fluid
    • K.R. Rajagopal, A.S. Gupta, and T.Y. Na A note on the Falkner-Skan flows of a non-Newtonian fluid Int. J. Non-Lin. Mech. 18 1983 313
    • (1983) Int. J. Non-Lin. Mech. , vol.18 , pp. 313
    • Rajagopal, K.R.1    Gupta, A.S.2    Na, T.Y.3
  • 9
    • 0025839098 scopus 로고
    • Flow of a non-Newtonian fluid past a wedge
    • V.K. Garg, and K.R. Rajagopal Flow of a non-Newtonian fluid past a wedge Acta Mech. 88 1991 113
    • (1991) Acta Mech. , vol.88 , pp. 113
    • Garg, V.K.1    Rajagopal, K.R.2
  • 10
    • 0026481462 scopus 로고
    • Certain solutions of equations of the planar motion of a second grade fluid for steady and unsteady cases
    • A.M. Benharbit, and A.M. Siddiqui Certain solutions of equations of the planar motion of a second grade fluid for steady and unsteady cases Acta Mech. 94 1992 85
    • (1992) Acta Mech. , vol.94 , pp. 85
    • Benharbit, A.M.1    Siddiqui, A.M.2
  • 11
    • 0022875324 scopus 로고
    • Certain inverse solutions of a non-Newtonian fluid
    • A.M. Siddiqui, and P.N. Kaloni Certain inverse solutions of a non-Newtonian fluid Int. J. Non-Lin. Mech. 21 1986 459
    • (1986) Int. J. Non-Lin. Mech. , vol.21 , pp. 459
    • Siddiqui, A.M.1    Kaloni, P.N.2
  • 12
    • 0000252174 scopus 로고    scopus 로고
    • Periodic flows of a non-Newtonian fluid between two parallel plates
    • A.M. Siddiqui, T. Hayat, and S. Asghar Periodic flows of a non-Newtonian fluid between two parallel plates Int. J. Non-Lin. Mech. 34 1999 895
    • (1999) Int. J. Non-Lin. Mech. , vol.34 , pp. 895
    • Siddiqui, A.M.1    Hayat, T.2    Asghar, S.3
  • 13
    • 0032294361 scopus 로고    scopus 로고
    • Periodic unsteady flows of a non-Newtonian fluid
    • T. Hayat, S. Asghar, and A.M. Siddiqui Periodic unsteady flows of a non-Newtonian fluid Acta Mech. 131 1998 169
    • (1998) Acta Mech. , vol.131 , pp. 169
    • Hayat, T.1    Asghar, S.2    Siddiqui, A.M.3
  • 14
    • 0033362964 scopus 로고    scopus 로고
    • On the moment of a plane disk in a non-Newtonian fluid
    • T. Hayat, S. Asghar, and A.M. Siddiqui On the moment of a plane disk in a non-Newtonian fluid Acta Mech. 136 1999 125
    • (1999) Acta Mech. , vol.136 , pp. 125
    • Hayat, T.1    Asghar, S.2    Siddiqui, A.M.3
  • 15
    • 0001861088 scopus 로고
    • The flow of a non-Newtonian liquid near a stagnation point
    • A.C. Srivastava The flow of a non-Newtonian liquid near a stagnation point Z. Angew. Math. Phys. 60 1958 667
    • (1958) Z. Angew. Math. Phys. , vol.60 , pp. 667
    • Srivastava, A.C.1
  • 17
  • 18
    • 0042379679 scopus 로고
    • A boundary layer in an elastico-viscous fluid
    • K.R. Frater A boundary layer in an elastico-viscous fluid Z. Angew. Math. Phys. 20 1969 712
    • (1969) Z. Angew. Math. Phys. , vol.20 , pp. 712
    • Frater, K.R.1
  • 19
    • 0001916033 scopus 로고
    • Flow of a particular class of non-Newtonian viscoelastic and visco-inelastic fluids near a stagnation point
    • G.K. Rajeswari, and S.L. Rathna Flow of a particular class of non-Newtonian viscoelastic and visco-inelastic fluids near a stagnation point Z. Angew. Math. Phys. 13 1962 43
    • (1962) Z. Angew. Math. Phys. , vol.13 , pp. 43
    • Rajeswari, G.K.1    Rathna, S.L.2
  • 20
    • 0016473962 scopus 로고
    • On the flow of a non-Newtonian fluid past a porous flat plate
    • M.E. Erdogan On the flow of a non-Newtonian fluid past a porous flat plate ZAMM 55 1975 128
    • (1975) ZAMM , vol.55 , pp. 128
    • Erdogan, M.E.1
  • 21
    • 0027790988 scopus 로고
    • Steady flows of non-Newtonian fluids past a porous plate with suction or injection
    • D. Mansutti, G. Pontrelli, and K.R. Rajagopal Steady flows of non-Newtonian fluids past a porous plate with suction or injection Int. J. Numer. Meth. Fluids 17 1993 927
    • (1993) Int. J. Numer. Meth. Fluids , vol.17 , pp. 927
    • Mansutti, D.1    Pontrelli, G.2    Rajagopal, K.R.3
  • 22
    • 0000762280 scopus 로고
    • On the boundary conditions for fluids of the differential type
    • A. Sequeira Plenum Press Berlin
    • K.R. Rajagopal On the boundary conditions for fluids of the differential type A. Sequeira Navier-Stokes Equation and Related Non-Linear Problems 1995 Plenum Press Berlin
    • (1995) Navier-Stokes Equation and Related Non-Linear Problems
    • Rajagopal, K.R.1
  • 23
    • 0021127642 scopus 로고
    • An exact solution for the flow of a non-Newtonian fluid past an infinite plate
    • K.R. Rajagopal, and A.S. Gupta An exact solution for the flow of a non-Newtonian fluid past an infinite plate Meccanica 19 1984 158
    • (1984) Meccanica , vol.19 , pp. 158
    • Rajagopal, K.R.1    Gupta, A.S.2
  • 24
    • 0002230177 scopus 로고
    • Some remarks on boundary conditions for fluids of differential type
    • G.A.C. Gram S.K. Malik Hemisphere New York
    • K.R. Rajagopal, and P.N. Kaloni Some remarks on boundary conditions for fluids of differential type G.A.C. Gram S.K. Malik Continuum Mechanics and Its Applications 1989 Hemisphere New York
    • (1989) Continuum Mechanics and Its Applications
    • Rajagopal, K.R.1    Kaloni, P.N.2
  • 25
    • 33644479397 scopus 로고
    • Boundedness and uniqueness of fluids of the differential type
    • K.R. Rajagopal Boundedness and uniqueness of fluids of the differential type Acta Cienca, Indica 18 1982 1
    • (1982) Acta Cienca, Indica , vol.18 , pp. 1
    • Rajagopal, K.R.1
  • 26
    • 0001641325 scopus 로고
    • An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate
    • K.R. Rajagopal, A.Z. Szeri, and W. Troy An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate Int. J. Non-Linear Mech. 21 1986 279
    • (1986) Int. J. Non-Linear Mech. , vol.21 , pp. 279
    • Rajagopal, K.R.1    Szeri, A.Z.2    Troy, W.3
  • 29
    • 0000756969 scopus 로고    scopus 로고
    • Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models
    • L.I. Palade, P. Attane, R.R. Huilgol, and B. Mena Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models Int. J. Engng. Sci. 37 1999 315
    • (1999) Int. J. Engng. Sci. , vol.37 , pp. 315
    • Palade, L.I.1    Attane, P.2    Huilgol, R.R.3    Mena, B.4
  • 30
    • 0035216379 scopus 로고    scopus 로고
    • A New method for solving dynamical problems of fractional derivative viscoelasticity
    • Y.A. Rossikhin, and M.V. Shitikova A New method for solving dynamical problems of fractional derivative viscoelasticity Int. J. Engng. Sci. 39 2001 149
    • (2001) Int. J. Engng. Sci. , vol.39 , pp. 149
    • Rossikhin, Y.A.1    Shitikova, M.V.2
  • 31
    • 0037030796 scopus 로고    scopus 로고
    • The impulsive motion of flat plate in a generalized second grade fluid
    • W.C. Tan, and M.Y. Xu The impulsive motion of flat plate in a generalized second grade fluid Mech. Res. Comm. 29 2002 3
    • (2002) Mech. Res. Comm. , vol.29 , pp. 3
    • Tan, W.C.1    Xu, M.Y.2
  • 32
    • 0036857805 scopus 로고    scopus 로고
    • An exact solution of unsteady Couette flow of generalized second grade fluid
    • T. Wenchang, X. Feng, and W. Lan An exact solution of unsteady Couette flow of generalized second grade fluid Chinese Sci. Bull. 47 2002 1783
    • (2002) Chinese Sci. Bull. , vol.47 , pp. 1783
    • Wenchang, T.1    Feng, X.2    Lan, W.3
  • 33
    • 0037410852 scopus 로고    scopus 로고
    • A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
    • T. Wenchang, P. Wenxiao, and X. Mingyu A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates Int. J. Non-Linear Mech. 38 2003 615
    • (2003) Int. J. Non-Linear Mech. , vol.38 , pp. 615
    • Wenchang, T.1    Wenxiao, P.2    Mingyu, X.3
  • 35
    • 0001526376 scopus 로고
    • Stress deformation relations for isotropic materials
    • R.S. Rivlin, and J.L. Ericksen Stress deformation relations for isotropic materials J. Rat. Mech. Anal. 4 1955 323
    • (1955) J. Rat. Mech. Anal. , vol.4 , pp. 323
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 36
    • 0016013907 scopus 로고
    • Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade
    • J.E. Dunn, and K.R. Rajagopal Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade Arch. Rat. Mech. Anal. 56 1974 191
    • (1974) Arch. Rat. Mech. Anal. , vol.56 , pp. 191
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 37
    • 0029289811 scopus 로고
    • Fluids of differential type-critical review and thermodynamic analysis
    • J.E. Dunn, and K.R. Rajagopal Fluids of differential type-critical review and thermodynamic analysis Int. J. Engng. Sci. 33 1995 689
    • (1995) Int. J. Engng. Sci. , vol.33 , pp. 689
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 38
    • 0018061357 scopus 로고
    • Uniqueness and drag for fluids of second grade in steady motion
    • R.L. Fosdick, and K.R. Rajagopal Uniqueness and drag for fluids of second grade in steady motion Int. J. Non-Lin. Mech. 13 1978 131
    • (1978) Int. J. Non-Lin. Mech. , vol.13 , pp. 131
    • Fosdick, R.L.1    Rajagopal, K.R.2


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