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Volumn 15, Issue SUPPL.2, 2011, Pages 167-173

Peristaltic flow of a fractional second grade fluid through a cylindrical tube

Author keywords

Caputo's fractional derivative; Fractional second grade model; Friction force; Peristalsis; Pressure

Indexed keywords

NEWTONIAN LIQUIDS; REYNOLDS NUMBER; TRIBOLOGY; TUBES (COMPONENTS);

EID: 84869828911     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI100503061T     Document Type: Article
Times cited : (31)

References (27)
  • 2
    • 0242264738 scopus 로고
    • Peristaltic Motion
    • Burns, J. C., Parkers, T., Peristaltic Motion, J. Fluid Mech., 29 (1967), 4, pp. 731-743
    • (1967) J. Fluid Mech. , vol.29 , Issue.4 , pp. 731-743
    • Burns, J.C.1    Parkers, T.2
  • 3
    • 0014384702 scopus 로고
    • Peristaltic Flow in Tubes
    • Barton, C., Raynor, S., Peristaltic Flow in Tubes, Bull. Math. Biophys., 30 (1968), 4, pp. 663-680
    • (1968) Bull. Math. Biophys. , vol.30 , Issue.4 , pp. 663-680
    • Barton, C.1    Raynor, S.2
  • 4
    • 84935589854 scopus 로고
    • Peristaltic Transport
    • Fung, Y. C., Yih, C. S., Peristaltic Transport, J. Appl. Mech., 35 (1968), 4, pp. 669-675.
    • (1968) J. Appl. Mech. , vol.35 , Issue.4 , pp. 669-675
    • Fung, Y.C.1    Yih, C.S.2
  • 5
    • 0014545261 scopus 로고
    • Peristaltic Pumping with Long Wavelengths at Low Reynolds Number
    • Shapiro, A. H., Jafferin, M. Y., Weinberg, S. L., Peristaltic Pumping with Long Wavelengths at Low Reynolds Number, J. Fluid Mech., 37 (1969), 4, pp. 669-6
    • (1969) J. Fluid Mech. , vol.37 , Issue.4 , pp. 669-676
    • Shapiro, A.H.1    Jafferin, M.Y.2    Weinberg, S.L.3
  • 6
    • 1242264927 scopus 로고    scopus 로고
    • Periodic Unidirectional Flows of a Viscoelastic Fluid with the Fractional Maxwell Model
    • Hayat, T., Nadeem, S., Asghar, S., Periodic Unidirectional Flows of a Viscoelastic Fluid with the Fractional Maxwell Model, Appl. Math. Comput., 151 (2004), 1, pp. 153-161
    • (2004) Appl. Math. Comput. , vol.151 , Issue.1 , pp. 153-161
    • Hayat, T.1    Nadeem, S.2    Asghar, S.3
  • 7
    • 0037410852 scopus 로고    scopus 로고
    • A Note on Unsteady Flows of a Viscoelastic Fluid with the Fractional Maxwell Model between Two Parallel Plates
    • Tan, W., Pan, W., Xu, Mi., A Note on Unsteady Flows of a Viscoelastic Fluid with the Fractional Maxwell Model between Two Parallel Plates, Int. J. of Non-Linear Mech., 38 (2003), 5, pp. 645-650
    • (2003) Int. J. of Non-Linear Mech. , vol.38 , Issue.5 , pp. 645-650
    • Tan, W.1    Pan, W.2    Xu, M.3
  • 8
    • 0036703760 scopus 로고    scopus 로고
    • Plane Surface Suddenly Set in Motion in a Viscoelastic Fluid with Fractional Maxwell Model
    • Tan, W., Xu, M., Plane Surface Suddenly Set in Motion in a Viscoelastic Fluid with Fractional Maxwell Model, Acta Mech. Sin., 18 (2002), 4, pp. 342-349
    • (2002) Acta Mech. Sin. , vol.18 , Issue.4 , pp. 342-349
    • Tan, W.1    Xu, M.2
  • 9
    • 34147203638 scopus 로고
    • Relaxation and Retardation Functions of the Maxwell Model with Fractional Derivatives
    • Friedrich, C., Relaxation and Retardation Functions of the Maxwell Model with Fractional Derivatives, Rheologica Acta, 30 (1991), 2, pp. 151-158
    • (1991) Rheologica Acta , vol.30 , Issue.2 , pp. 151-158
    • Friedrich, C.1
  • 10
    • 33750576569 scopus 로고    scopus 로고
    • Unsteady Rotating Flows of a Viscoelastic Fluid with the Fractional Maxwell Model between Coaxial Cylinders
    • Qi, H., Jin, H., Unsteady Rotating Flows of a Viscoelastic Fluid with the Fractional Maxwell Model between Coaxial Cylinders, Acta Mech. Sin., 22 (2006), 4, pp. 301-305
    • (2006) Acta Mech. Sin. , vol.22 , Issue.4 , pp. 301-305
    • Qi, H.1    Jin, H.2
  • 11
    • 33750495838 scopus 로고    scopus 로고
    • Unsteady flow of Viscoelastic Fluid with Fractional Maxwell Model in Channel
    • Qi, H., Xu, M., Unsteady flow of Viscoelastic Fluid with Fractional Maxwell Model in Channel, Mech. Research Commun., 34 (2007), 2, pp. 210-212
    • (2007) Mech. Research Commun. , vol.34 , Issue.2 , pp. 210-212
    • Qi, H.1    Xu, M.2
  • 12
    • 58249126340 scopus 로고    scopus 로고
    • Decay of Potential Vortex for a Viscoelastic Fluid with Fractional Maxwell Model
    • Khan, M. S., et al., Decay of Potential Vortex for a Viscoelastic Fluid with Fractional Maxwell Model, Appl. Math. Model., 33 (2009), 5, pp. 2526-2533
    • (2009) Appl. Math. Model. , vol.33 , Issue.5 , pp. 2526-2533
    • Khan, M.S.1
  • 13
    • 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., 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), 1, pp. 459-464
    • (2008) Appl. Math. Comput. , vol.200 , Issue.1 , pp. 459-464
    • Vieru, D.1    Fetecau, C.2    Fetecau, C.3
  • 14
    • 56549125687 scopus 로고    scopus 로고
    • Axial Couette Flow of Two Kinds of Fractional Viscoelastic Fluids in an Annulus
    • Wang, S., Xu, M., Axial Couette Flow of Two Kinds of Fractional Viscoelastic Fluids in an Annulus, Nonlinear Analysis: Real World Applications, 10 (2009), 2, pp. 1087-1096
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , Issue.2 , pp. 1087-1096
    • Wang, S.1    Xu, M.2
  • 15
    • 61749088333 scopus 로고    scopus 로고
    • On Accelerated Flows of a Viscoelastic Vluid with the Fractional Burgers' Model
    • Khan, M. S., Ali, H., Qi, H., On Accelerated Flows of a Viscoelastic Vluid with the Fractional Burgers' Model, Nonlinear Analysis: Real World Applications, 10 (2009), 4, pp. 2286-2296
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , Issue.4 , pp. 2286-2296
    • Khan, M.S.1    Ali, H.2    Qi, H.3
  • 16
    • 67649600677 scopus 로고    scopus 로고
    • Some Unsteady Unidirectional Flows of a Generalized Oldroyd-B Fluid with Fractional Derivative
    • Qi, H., Xu, M., Some Unsteady Unidirectional Flows of a Generalized Oldroyd-B Fluid with Fractional Derivative, Appl. Math. Model., 33 (2009), 11, pp. 4184-4191
    • (2009) Appl. Math. Model. , vol.33 , Issue.11 , pp. 4184-4191
    • Qi, H.1    Xu, M.2
  • 17
    • 38149085389 scopus 로고    scopus 로고
    • Stokes' First Problem for a Viscoelastic Fluid with the Generalized Oldroyd-B Model
    • Qi, H., Xu, M., Stokes' First Problem for a Viscoelastic Fluid with the Generalized Oldroyd-B Model, Acta Mech. Sin., 23 (2007), 5, pp. 463-469
    • (2007) Acta Mech. Sin. , vol.23 , Issue.5 , pp. 463-469
    • Qi, H.1    Xu, M.2
  • 18
    • 77954432178 scopus 로고    scopus 로고
    • Stability of Two Superposed Viscous-Viscoelastic Fluids
    • Kumar, P., Lal, R., Stability of Two Superposed Viscous-Viscoelastic Fluids, Thermal Science, 9 (2005), 2, pp. 87-95
    • (2005) Thermal Science , vol.9 , Issue.2 , pp. 87-95
    • Kumar, P.1    Lal, R.2
  • 19
    • 34250659329 scopus 로고    scopus 로고
    • Numerical Investigation of Fluid Flow and Heat Transfer Charac-teristics in Sine
    • Hossain, M. Z., Islam, A. K. M. S., Numerical Investigation of Fluid Flow and Heat Transfer Charac-teristics in Sine, Triangular, and Arc-Shaped Channels, Thermal Science, 11 (2007), 1, pp. 17-26
    • (2007) Triangular, and Arc-Shaped Channels, Thermal Science , vol.11 , Issue.1 , pp. 17-26
    • Hossain, M.Z.1    Islam, A.K.M.S.2
  • 20
    • 64549153574 scopus 로고    scopus 로고
    • Thermal and Hydrodynamic Characteristics of Forced and Mixed Convection Flow through Vertical Rectangular Channels
    • Hanafi, A. S., Mahmoud, S. I., Elbakhshawangy, H. F., Thermal and Hydrodynamic Characteristics of Forced and Mixed Convection Flow through Vertical Rectangular Channels, Thermal Science, 12 (2008), 2, pp. 103-117
    • (2008) Thermal Science , vol.12 , Issue.2 , pp. 103-117
    • Hanafi, A.S.1    Mahmoud, S.I.2    Elbakhshawangy, H.F.3
  • 21
    • 70350139149 scopus 로고    scopus 로고
    • Radiative Heat Transfer with Hydromagnetic Flow and Viscous Dissipation over a Stretching Surface in the Presence of Variable Heat Flux
    • Kumar, H., Radiative Heat Transfer with Hydromagnetic Flow and Viscous Dissipation over a Stretching Surface in the Presence of Variable Heat Flux, Thermal Science, 13 (2009), 2, pp. 163-169
    • (2009) Thermal Science , vol.13 , Issue.2 , pp. 163-169
    • Kumar, H.1
  • 22
    • 72749114026 scopus 로고    scopus 로고
    • Peristaltic Flow of Viscoelastic Fluid with Fractional Maxwell Model through a Channel
    • Tripathi, D., Pandey, S. K., Das, S., Peristaltic Flow of Viscoelastic Fluid with Fractional Maxwell Model through a Channel, Appl. Math. Comp., 215 (2010), 10, pp. 3645-3654
    • (2010) Appl. Math. Comp. , vol.215 , Issue.10 , pp. 3645-3654
    • Tripathi, D.1    Pandey, S.K.2    Das, S.3
  • 23
    • 80054031101 scopus 로고    scopus 로고
    • Influence of Slip Condition on Peristaltic Transport of a Viscoelastic Fluid with Fractional Burgers' Model
    • Tripathi, D., Gupta, P. K., Das, S., Influence of Slip Condition on Peristaltic Transport of a Viscoelastic Fluid with Fractional Burgers' Model, Thermal Science, 15 (2011), 2, pp. 501-515
    • (2011) Thermal Science , vol.15 , Issue.2 , pp. 501-515
    • Tripathi, D.1    Gupta, P.K.2    Das, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.