메뉴 건너뛰기




Volumn 33, Issue 5, 2009, Pages 2526-2533

Decay of potential vortex for a viscoelastic fluid with fractional Maxwell model

Author keywords

Exact solutions; Fractional calculus; Fractional Maxwell fluid; Potential vortex

Indexed keywords

CALCULATIONS; ELASTOHYDRODYNAMIC LUBRICATION; LAPLACE TRANSFORMS; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; VELOCITY;

EID: 58249126340     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2008.07.014     Document Type: Article
Times cited : (49)

References (33)
  • 1
    • 0001634191 scopus 로고
    • Mechanics of non-Newtonian fluids
    • Recent Developments in Theoretical Fluids Mechanics, Longman, New York
    • Rajagopal K.R. Mechanics of non-Newtonian fluids. Recent Developments in Theoretical Fluids Mechanics. Pitman Research Notes in Mathematics vol. 291 (1993), Longman, New York 129-162
    • (1993) Pitman Research Notes in Mathematics , vol.291 , pp. 129-162
    • Rajagopal, K.R.1
  • 2
    • 0029490406 scopus 로고
    • Exact solutions for simple flows of an Oldroyd-B fluid
    • Rajagopal K.R., and Bhatnagar R.K. Exact solutions for simple flows of an Oldroyd-B fluid. Acta Mech. 113 (1995) 233-239
    • (1995) Acta Mech. , vol.113 , pp. 233-239
    • Rajagopal, K.R.1    Bhatnagar, R.K.2
  • 4
    • 1242264933 scopus 로고    scopus 로고
    • Exact solutions of flow problems of an Oldroyd-B fluid
    • Hayat T., Khan M., and Ayub M. Exact solutions of flow problems of an Oldroyd-B fluid. Appl. Math. Comput. 151 (2004) 105-119
    • (2004) Appl. Math. Comput. , vol.151 , pp. 105-119
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 5
    • 23944493928 scopus 로고    scopus 로고
    • Stokes' first problem for an Oldroyd-B fluid in a porous half space
    • Tan W.C., and Masuoka T. Stokes' first problem for an Oldroyd-B fluid in a porous half space. Phys. Fluids 17 (2005) 023101
    • (2005) Phys. Fluids , vol.17 , pp. 023101
    • Tan, W.C.1    Masuoka, T.2
  • 6
    • 0037412165 scopus 로고    scopus 로고
    • Decay of a potential vortex in a Maxwell fluid
    • Fetecau C., and Fetecau C. Decay of a potential vortex in a Maxwell fluid. Int. J. Nonlinear Mech. 38 (2003) 985-990
    • (2003) Int. J. Nonlinear Mech. , vol.38 , pp. 985-990
    • Fetecau, C.1    Fetecau, C.2
  • 7
    • 33847302855 scopus 로고    scopus 로고
    • On some helical flows of Oldroyd-B fluids
    • Fetecau C., Fetecau C., and Vieru D. On some helical flows of Oldroyd-B fluids. Acta Mech. 189 (2007) 53-63
    • (2007) Acta Mech. , vol.189 , pp. 53-63
    • Fetecau, C.1    Fetecau, C.2    Vieru, D.3
  • 8
    • 0037413185 scopus 로고    scopus 로고
    • The first problem of Stokes for an Oldroyd-B fluid
    • Fetecau C., and Fetecau C. The first problem of Stokes for an Oldroyd-B fluid. Int. J. Nonlinear Mech. 38 (2003) 1539-1544
    • (2003) Int. J. Nonlinear Mech. , vol.38 , pp. 1539-1544
    • Fetecau, C.1    Fetecau, C.2
  • 9
    • 10644240598 scopus 로고    scopus 로고
    • Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different volume flow rate conditions
    • Chen C.I., Chen C.K., and Yang Y.T. Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different volume flow rate conditions. Heat Mass Trans. 42 (2004) 203-209
    • (2004) Heat Mass Trans. , vol.42 , pp. 203-209
    • Chen, C.I.1    Chen, C.K.2    Yang, Y.T.3
  • 10
    • 0141927321 scopus 로고    scopus 로고
    • On the explicit analytic solutions of an Oldroyd 6-constant fluid
    • Hayat T., Khan M., and Ayub M. On the explicit analytic solutions of an Oldroyd 6-constant fluid. Int. J. Eng. Sci. 42 (2004) 123-135
    • (2004) Int. J. Eng. Sci. , vol.42 , pp. 123-135
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 11
    • 2442526691 scopus 로고    scopus 로고
    • Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid
    • Hayat T., Khan M., and Asghar S. Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid. Acta Mech. 168 (2004) 213-232
    • (2004) Acta Mech. , vol.168 , pp. 213-232
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 12
    • 34848840903 scopus 로고    scopus 로고
    • Onset of oscillatory convection in a porous cylinder saturated with a viscoelastic fluid
    • Zhang Z., Fu C., and Tan W.C. Onset of oscillatory convection in a porous cylinder saturated with a viscoelastic fluid. Phys. Fluids 19 (2007) 098104
    • (2007) Phys. Fluids , vol.19 , pp. 098104
    • Zhang, Z.1    Fu, C.2    Tan, W.C.3
  • 13
    • 35748955521 scopus 로고    scopus 로고
    • Numerical simulation of thermal convection of a viscoelastic fluid in a porous square box heated from below
    • Fu C., Zhang Z., and Tan W.C. Numerical simulation of thermal convection of a viscoelastic fluid in a porous square box heated from below. Phys. Fluids 19 (2007) 104107
    • (2007) Phys. Fluids , vol.19 , pp. 104107
    • Fu, C.1    Zhang, Z.2    Tan, W.C.3
  • 14
    • 33750737484 scopus 로고    scopus 로고
    • Stability analysis of a Maxwell fluid in a porous medium heated from below
    • Tan W.T., and Masuoka T. Stability analysis of a Maxwell fluid in a porous medium heated from below. Phys. Lett. A 360 (2006) 454-460
    • (2006) Phys. Lett. A , vol.360 , pp. 454-460
    • Tan, W.T.1    Masuoka, T.2
  • 15
    • 0032456990 scopus 로고    scopus 로고
    • Study on the constitutive equation with fractional derivative for the viscoelastic fluids-modified Jeffreys model and its application
    • Song D.Y., and Jiang T.Q. Study on the constitutive equation with fractional derivative for the viscoelastic fluids-modified Jeffreys model and its application. Rheol. Acta 37 (1998) 512-517
    • (1998) Rheol. Acta , vol.37 , pp. 512-517
    • Song, D.Y.1    Jiang, T.Q.2
  • 16
    • 0037030796 scopus 로고    scopus 로고
    • The impulsive motion of flat plate in a generalized second order fluids
    • Tan W.C., and Xu M.Y. The impulsive motion of flat plate in a generalized second order fluids. Mech. Res. Commun. 29 (2002) 3-9
    • (2002) Mech. Res. Commun. , vol.29 , pp. 3-9
    • Tan, W.C.1    Xu, M.Y.2
  • 17
    • 33646699530 scopus 로고    scopus 로고
    • A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
    • Tan W.C., Pan W.X., and Xu M.Y. A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates. Int. J. Nonlinear Mech. 38 (2003) 615-620
    • (2003) Int. J. Nonlinear Mech. , vol.38 , pp. 615-620
    • Tan, W.C.1    Pan, W.X.2    Xu, M.Y.3
  • 18
    • 33750576569 scopus 로고    scopus 로고
    • Unsteady rotating flows of viscoelastic fluid with the fractional Maxwell model between coaxial cylinders
    • Qi H.T., and Jin H. Unsteady rotating flows of viscoelastic fluid with the fractional Maxwell model between coaxial cylinders. Acta Mech. Sinica 22 (2006) 301-305
    • (2006) Acta Mech. Sinica , vol.22 , pp. 301-305
    • Qi, H.T.1    Jin, H.2
  • 19
    • 38149085389 scopus 로고    scopus 로고
    • Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
    • Qi H.T., and Xu M.Y. Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model. Acta Mech. Sinica 23 (2007) 463-469
    • (2007) Acta Mech. Sinica , vol.23 , pp. 463-469
    • Qi, H.T.1    Xu, M.Y.2
  • 21
    • 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., and 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
  • 22
    • 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., and 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
  • 23
    • 35648947830 scopus 로고    scopus 로고
    • An anomalous subdiffusion model for calcium spark in cardiac myocytes
    • Tan W.C., Fu C., Xie W., and Cheng H. An anomalous subdiffusion model for calcium spark in cardiac myocytes. Appl. Phys. Lett. 91 (2007) 183901
    • (2007) Appl. Phys. Lett. , vol.91 , pp. 183901
    • Tan, W.C.1    Fu, C.2    Xie, W.3    Cheng, H.4
  • 24
    • 27744494435 scopus 로고    scopus 로고
    • MHD of a fractional viscoelastic fluid in a circular tube
    • El-Shahed M. MHD of a fractional viscoelastic fluid in a circular tube. Mech. Res. Commun. 33 (2006) 216-268
    • (2006) Mech. Res. Commun. , vol.33 , pp. 216-268
    • El-Shahed, M.1
  • 25
    • 10944227327 scopus 로고    scopus 로고
    • Decay of vortex velocity and diffusion of temperature in a generalized second grade fluid
    • Shen F., Tan W.C., Zhao Y.H., and Masuoka T. Decay of vortex velocity and diffusion of temperature in a generalized second grade fluid. Appl. Math. Mech. 25 (2004) 1151-1159
    • (2004) Appl. Math. Mech. , vol.25 , pp. 1151-1159
    • Shen, F.1    Tan, W.C.2    Zhao, Y.H.3    Masuoka, T.4
  • 26
    • 34249738099 scopus 로고    scopus 로고
    • Partial slip effects on the oscillatory flows of a fractional Jeffrey fluid in a porous medium
    • Khan M. Partial slip effects on the oscillatory flows of a 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
  • 27
    • 34250778451 scopus 로고    scopus 로고
    • On the MHD flow of a fractional generalized Burgers' fluid with modified Darcy's law
    • Hayat T., Khan M., and Asghar S. On the MHD flow of a fractional generalized Burgers' fluid with modified Darcy's law. Acta Mech. Sinica 23 (2007) 257-261
    • (2007) Acta Mech. Sinica , vol.23 , pp. 257-261
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 28
    • 43049159228 scopus 로고    scopus 로고
    • Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate
    • Vieru D., Fetecau C., and Fetecau C. Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate. Appl. Math. Comput. 200 (2008) 459-464
    • (2008) Appl. Math. Comput. , vol.200 , pp. 459-464
    • Vieru, D.1    Fetecau, C.2    Fetecau, C.3
  • 30
    • 14544302161 scopus 로고    scopus 로고
    • Decay of a potential vortex in an Oldroyd-B fluid
    • Fetecau C., and Fetecau C. Decay of a potential vortex in an Oldroyd-B fluid. Int. J. Eng. Sci. 43 (2005) 340-351
    • (2005) Int. J. Eng. Sci. , vol.43 , pp. 340-351
    • Fetecau, C.1    Fetecau, C.2
  • 31
    • 0004005977 scopus 로고
    • McGraw Hill Book Company, Inc., New York, Toronto, London
    • Sneddon I.N. Fourier Transforms (1951), McGraw Hill Book Company, Inc., New York, Toronto, London
    • (1951) Fourier Transforms
    • Sneddon, I.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.