메뉴 건너뛰기




Volumn 60, Issue 5, 2009, Pages 921-933

The Rayleigh-Stokes problem for an edge in a generalized Oldroyd-B fluid

Author keywords

Generalized Oldroyd B fluid; Rayleigh Stokes problem; Velocity field

Indexed keywords

CONSTITUTIVE RELATIONSHIPS; EXACT SOLUTION; FLUID MODELS; FOURIER; FRACTIONAL CALCULUS; G-FUNCTIONS; GENERALIZED OLDROYD-B FLUID; GENERALIZED OLDROYD-B FLUIDS; GENERALIZED SECOND GRADE FLUID; LIMITING CASE; MAXWELL FLUID; NEWTONIAN SOLUTIONS; NON-NEWTONIAN; OLDROYD-B FLUID; RAYLEIGH-STOKES PROBLEM; SIMILAR SOLUTION; VELOCITY FIELD;

EID: 70350666824     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-008-8055-5     Document Type: Article
Times cited : (59)

References (23)
  • 2
    • 34147203638 scopus 로고
    • Relaxation and retardation functions of the Maxwell model with fractional derivatives
    • Friederich, C., Relaxation and retardation functions of the Maxwell model with fractional derivatives, Rheol. Acta 30 (1991), 151-158.
    • (1991) Rheol. Acta , vol.30 , pp. 151-158
    • Friederich, C.1
  • 3
    • 0032456990 scopus 로고    scopus 로고
    • Study on the constitutive equation with fractional derivative for the viscoelastic fluid-modified Jeffreys model and its applications
    • Song, D. Y., Jiang, T. Q., Study on the constitutive equation with fractional derivative for the viscoelastic fluid-modified Jeffreys model and its applications, Rheol. Acta 37 (1998), 512-517.
    • (1998) Rheol. Acta , vol.37 , pp. 512-517
    • Song, D.Y.1    Jiang, T.Q.2
  • 4
    • 14544294370 scopus 로고    scopus 로고
    • Exact solutions for the unsteady rotational flow of non-Newtonian fluid in an annular pipe
    • Tong, D., Liu, Y., Exact solutions for the unsteady rotational flow of non-Newtonian fluid in an annular pipe, Int. J. Eng. Sci. 43 (2005), 281-289.
    • (2005) Int. J. Eng. Sci. , vol.43 , pp. 281-289
    • Tong, D.1    Liu, Y.2
  • 5
    • 33644649045 scopus 로고    scopus 로고
    • Exact solutions for the flow of non-Newtonian fluid with fractional derivative in an annular pipe
    • Tong, D., Wang, R., Yang, H., Exact solutions for the flow of non-Newtonian fluid with fractional derivative in an annular pipe, Science in China Ser. G Physics, Mechanics & Astronomy 48 (2005), 485-495.
    • (2005) Science in China Ser. G Physics, Mechanics & Astronomy , vol.48 , pp. 485-495
    • Tong, D.1    Wang, R.2    Yang, H.3
  • 6
    • 38149085389 scopus 로고    scopus 로고
    • Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
    • Qi, H. T., Xu, M. Y., Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model, Acta Mech. Sin. 23 (2007), 463-469.
    • (2007) Acta Mech. Sin. , vol.23 , pp. 463-469
    • Qi, H.T.1    Xu, M.Y.2
  • 7
    • 44649157180 scopus 로고    scopus 로고
    • Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate
    • Vieru, D., Corina Fetecau, Fetecau, C., Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate, Appl. Math. Comput. 201 (2008), 834-842.
    • (2008) Appl. Math. Comput. , vol.201 , pp. 834-842
    • Vieru, D.1    Fetecau, C.2    Fetecau, C.3
  • 8
    • 58149229341 scopus 로고    scopus 로고
    • Exact solutions for the flow of a generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate
    • doi: 10.1016/j.jnnfm.2008.06.005
    • Fetecau, C., Corina Fetecau, Kamran, M., Vieru, D., Exact solutions for the flow of a generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate, J. Non-Newtonian Fluid Mech. doi: 10.1016/j.jnnfm.2008.06.005.
    • J. Non-Newtonian Fluid Mech.
    • Fetecau, C.1    Fetecau, C.2    Kamran, M.3    Vieru, D.4
  • 9
    • 33646705185 scopus 로고    scopus 로고
    • Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law
    • Khan, M., Hayat, T., Asghar, S., Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law, Int. J. Eng. Sci. 44 (2006), 333-339.
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 333-339
    • Khan, M.1    Hayat, T.2    Asghar, S.3
  • 10
    • 33745657015 scopus 로고    scopus 로고
    • Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space
    • Khan, M., Maqbool, K., Hayat, T., Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space, Acta Mech. 184 (2006), 1-13.
    • (2006) Acta Mech. , vol.184 , pp. 1-13
    • Khan, M.1    Maqbool, K.2    Hayat, T.3
  • 11
    • 34249738099 scopus 로고    scopus 로고
    • Partial slip effects on the oscillatory flows of fractional Jeffrey fluid in a porous medium
    • Khan, M., Partial slip effects on the oscillatory flows of fractional Jeffrey fluid in a porous medium, J. Porous Media 10 (2007), 473-488.
    • (2007) J. Porous Media , vol.10 , pp. 473-488
    • Khan, M.1
  • 12
    • 34250778451 scopus 로고    scopus 로고
    • On the MHD flow of fractional generalized Burgers' fluid with modified Darcy's law
    • Hayat, T., Khan, M., Asghar, S., On the MHD flow of fractional generalized Burgers' fluid with modified Darcy's law, Acta Mech. Sin. 23 (2007), 257-261.
    • (2007) Acta Mech. Sin. , vol.23 , pp. 257-261
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 13
    • 48249084496 scopus 로고    scopus 로고
    • Some exact solutions for fractional generalized Burgers' fluid in a porous space
    • doi: 10.1016/j. nonrwa.2007.06.005
    • Khan, M., Hayat, T., Some exact solutions for fractional generalized Burgers' fluid in a porous space, Nonlinear Anal.: Real World Appl. (2007), doi: 10.1016/j. nonrwa.2007.06.005.
    • (2007) Nonlinear Anal.: Real World Appl
    • Khan, M.1    Hayat, T.2
  • 14
    • 43649105279 scopus 로고    scopus 로고
    • Exact solutions of Stokes' first problem for heated generalized Burgers' fluid in a porous half-space
    • Xue, C., Nie, J., Exact solutions of Stokes' first problem for heated generalized Burgers' fluid in a porous half-space, Nonlinear Anal.: Real World Appl. 9 (2008), 1628-1637.
    • (2008) Nonlinear Anal.: Real World Appl , vol.9 , pp. 1628-1637
    • Xue, C.1    Nie, J.2
  • 15
    • 0001277244 scopus 로고
    • Das Rayleigh-Stokes Problem für die Ecke
    • Zierep, J., Das Rayleigh-Stokes Problem für die Ecke, Acta Mech. 34 (1979), 161-165.
    • (1979) Acta Mech. , vol.34 , pp. 161-165
    • Zierep, J.1
  • 16
    • 33745132702 scopus 로고    scopus 로고
    • The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model
    • Sheng, F., Tan, W. C., Zhao, Y., Masuoka, T., The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model, Nonlinear Anal.: Real World Appl. 7 (2006), 1072-1080.
    • (2006) Nonlinear Anal.: Real World Appl. , vol.7 , pp. 1072-1080
    • Sheng, F.1    Tan, W.C.2    Zhao, Y.3    Masuoka, T.4
  • 17
    • 0000762280 scopus 로고
    • On boundary conditions for fluids of differential type
    • in: A. Sequeira (Ed.), Plenum Press, New York
    • Rajagopal, K. R., On boundary conditions for fluids of differential type, in: A. Sequeira (Ed.), Navier-Stokes Equations and Related Nonlinear Problems, Plenum Press, New York 1995, pp. 273-278.
    • (1995) Navier-Stokes Equations and Related Nonlinear Problems , pp. 273-278
    • Rajagopal, K.R.1
  • 20
    • 0004005977 scopus 로고
    • McGraw Hill Book Company, Inc., New York-Toronto-London
    • Sneddon, I. N., Fourier Transforms, McGraw Hill Book Company, Inc., New York-Toronto-London, 1951.
    • (1951) Fourier Transforms
    • Sneddon, I.N.1
  • 21
    • 0003305747 scopus 로고
    • Functional analysis
    • in:, Springer, Berlin, Göttingen, Heidelberg
    • Sneddon, I. N., Functional analysis, in: Encyclopedia of Physics, Vol. ll, Springer, Berlin, Göttingen, Heidelberg, 1955.
    • (1955) Encyclopedia of Physics , vol.ll
    • Sneddon, I.N.1
  • 22
    • 0038053054 scopus 로고    scopus 로고
    • The Rayleigh-Stokes problem for an edge in an Oldroyd-B fluid
    • Ser. I
    • Fetecau, C., The Rayleigh-Stokes problem for an edge in an Oldroyd-B fluid, CR Math. Acad. Sci. Paris, Ser. I 335 (2002), 979-984.
    • (2002) CR Math. Acad. Sci. Paris , Issue.335 , pp. 979-984
    • Fetecau, C.1
  • 23
    • 0345356927 scopus 로고    scopus 로고
    • The Rayleigh-Stokes-problem for a Maxwell fluid
    • Fetecau, C., Zierep, J., The Rayleigh-Stokes-problem for a Maxwell fluid, Z. Angew. Math. Phys. 54 (2003), 1086-1093.
    • (2003) Z. Angew. Math. Phys. , vol.54 , pp. 1086-1093
    • Fetecau, C.1    Zierep, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.