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Volumn 13, Issue 2, 2012, Pages 513-523

Slip effects on MHD flow of a generalized Oldroyd-B fluid with fractional derivative

Author keywords

Fox H function; MHD flow; Oldroyd B fluid; Slip condition

Indexed keywords

CLOSED FORM SOLUTIONS; CONSTITUTIVE RELATIONSHIPS; FRACTIONAL CALCULUS; FRACTIONAL DERIVATIVES; GENERALIZED OLDROYD-B FLUIDS; H FUNCTION; MAGNETOHYDRODYNAMIC FLOWS; MHD FLOW; NO-SLIP CONDITION; OLDROYD-B FLUID; SLIP CONDITION; SLIP EFFECTS; STRESS CHARACTERISTICS; VISCO-ELASTIC FLUID;

EID: 80053355826     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.02.016     Document Type: Article
Times cited : (127)

References (29)
  • 2
    • 38149085389 scopus 로고    scopus 로고
    • Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
    • H.T. Qi, and M.Y. Xu 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
  • 3
    • 56549119407 scopus 로고    scopus 로고
    • Some accelerated flows for a generalized Oldroyd-B fluid
    • M. Khan, S. Hyder Ali, and Haitao Qi Some accelerated flows for a generalized Oldroyd-B fluid Nonlinear Anal. RWA 10 2009 980 991
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 980-991
    • Khan, M.1    Hyder Ali, S.2    Qi, H.3
  • 4
    • 61749083880 scopus 로고    scopus 로고
    • Exact solutions for a viscoelastic fluid with the generalized Oldroyd-B model
    • S. Hyder Ali Muttaqi Shah, M. Khan, and Haitao Qi Exact solutions for a viscoelastic fluid with the generalized Oldroyd-B model Nonlinear Anal. RWA 10 2009 2590 2599
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 2590-2599
    • Hyder Ali Muttaqi Shah, S.1    Khan, M.2    Qi, H.3
  • 5
    • 61749102798 scopus 로고    scopus 로고
    • Some accelerated flows of generalized Oldroyd-B fluid between two side walls perpendicular to the plate
    • S. Hyder Ali Muttaqi Shah Some accelerated flows of generalized Oldroyd-B fluid between two side walls perpendicular to the plate Nonlinear Anal. RWA 10 2009 2146 2150
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 2146-2150
    • Hyder Ali Muttaqi Shah, S.1
  • 6
    • 33751189628 scopus 로고    scopus 로고
    • A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid
    • DOI 10.1016/j.apm.2005.11.032, PII S0307904X05002532
    • C. Fetecau, Sharat C. Prasad, and K.R. Rajagopal A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid Appl. Math. Model. 31 2007 647 654 (Pubitemid 44774370)
    • (2007) Applied Mathematical Modelling , vol.31 , Issue.4 , pp. 647-654
    • Fetecau, C.1    Prasad, S.C.2    Rajagopal, K.R.3
  • 7
    • 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
    • Constantin Fetecau, Corina Fetecau, M. Kamran, and D. Vieru 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. 156 2009 189 201
    • (2009) J. Non-Newtonian Fluid Mech. , vol.156 , pp. 189-201
    • Fetecau, C.1    Fetecau, C.2    Kamran, M.3    Vieru, D.4
  • 8
    • 44649157180 scopus 로고    scopus 로고
    • Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate
    • D. Vieru, Corina Fetecau, and C. Fetecau 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
  • 9
    • 58349113421 scopus 로고    scopus 로고
    • Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate
    • Corina Fetecau, M. Athar, and C. Fetecau Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate Comput. Math. Appl. 57 2009 596 603
    • (2009) Comput. Math. Appl. , vol.57 , pp. 596-603
    • Fetecau, C.1    Athar, M.2    Fetecau, C.3
  • 10
    • 79959836834 scopus 로고    scopus 로고
    • Some oscillating flows of a generalized Oldroyd-B fluid in uniform magnetic field
    • Yaqing Liu, Liancun Zheng, and Xinxin Zhang Some oscillating flows of a generalized Oldroyd-B fluid in uniform magnetic field WCE 2010 3 2010 1971 1974
    • (2010) WCE 2010 , vol.3 , pp. 1971-1974
    • Liu, Y.1    Zheng, L.2    Zhang, X.3
  • 11
    • 78649839811 scopus 로고    scopus 로고
    • The oscillating flows and heat Transfer of a generalized Oldroyd-B fluid in magnetic field
    • Yaqing Liu, Liancun Zheng, and Xinxin Zhang The oscillating flows and heat Transfer of a generalized Oldroyd-B fluid in magnetic field IAENG Int. J. Appl. Math. 40 2010 276 281
    • (2010) IAENG Int. J. Appl. Math. , vol.40 , pp. 276-281
    • Liu, Y.1    Zheng, L.2    Zhang, X.3
  • 12
    • 77955512792 scopus 로고    scopus 로고
    • Exact solutions for generalized Maxwell fluid flow due to oscillatory and constantly accelerating plate
    • Liancun Zheng, Fangfang Zhao, and Xinxin Zhang Exact solutions for generalized Maxwell fluid flow due to oscillatory and constantly accelerating plate Nonlinear Anal. RWA 11 2010 3744 3751
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 3744-3751
    • Zheng, L.1    Zhao, F.2    Zhang, X.3
  • 13
    • 78649497849 scopus 로고    scopus 로고
    • An Exact solution for an unsteady flow of a generalized Burgers' fluid induced by an accelerating plate
    • Liancun Zheng, Fangfang Zhao, and Xinxin Zhang An Exact solution for an unsteady flow of a generalized Burgers' fluid induced by an accelerating plate Int. J. Nonlinear Sci. Numer Simul. 11 2010 457 464
    • (2010) Int. J. Nonlinear Sci. Numer Simul. , vol.11 , pp. 457-464
    • Zheng, L.1    Zhao, F.2    Zhang, X.3
  • 14
    • 79952316962 scopus 로고    scopus 로고
    • Unsteady flow and heat transfer of a generalized Maxwell fluid due to a hyperbolic sine accelerating plate
    • 10.1016/j.camwa.2010.09.017
    • Liancun Zheng, Kangning Wang, and Yingtao Gao Unsteady flow and heat transfer of a generalized Maxwell fluid due to a hyperbolic sine accelerating plate Comput. Math. Appl. 2010 10.1016/j.camwa.2010.09.017
    • (2010) Comput. Math. Appl.
    • Zheng, L.1    Wang, K.2    Gao, Y.3
  • 15
    • 0036503701 scopus 로고    scopus 로고
    • Apparent fluid slip at hydrophibic microchannel walls
    • C. Derek, D.C. Tretheway, and C.D. Meinhart Apparent fluid slip at hydrophibic microchannel walls Phys. Fluids 14 2002 9 12
    • (2002) Phys. Fluids , vol.14 , pp. 9-12
    • Derek, C.1    Tretheway, D.C.2    Meinhart, C.D.3
  • 16
    • 0032187072 scopus 로고    scopus 로고
    • Slip velocity and slip layer thickness in flow of concentrated suspensions
    • F. Soltani, and U. Yilmazer Slip velocity and slip layer thickness in flow of concentrated suspensions J. Appl. Polym. Sci. 70 1998 515 522 (Pubitemid 128592591)
    • (1998) Journal of Applied Polymer Science , vol.70 , Issue.3 , pp. 515-522
    • Soltani, F.1    Yilmazer, U.2
  • 17
    • 44149111545 scopus 로고    scopus 로고
    • Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel
    • A. Ebaid Effects of magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel Phys. Lett. A 372 2008 4493 4499
    • (2008) Phys. Lett. A , vol.372 , pp. 4493-4499
    • Ebaid, A.1
  • 18
    • 38849168816 scopus 로고    scopus 로고
    • Slip effects on the peristaltic transport of MHD fluid with variable viscosity
    • N. Ali, Q. Hussain, T. Hayat, and S. Asghar Slip effects on the peristaltic transport of MHD fluid with variable viscosity Phys. Lett. A 372 2008 1477 1489
    • (2008) Phys. Lett. A , vol.372 , pp. 1477-1489
    • Ali, N.1    Hussain, Q.2    Hayat, T.3    Asghar, S.4
  • 19
    • 40849097538 scopus 로고    scopus 로고
    • The influence of slip on the peristaltic motion of a third order fluid in an asymmetric channel
    • T. Hayat, M.U. Qureshi, and N. Ali The influence of slip on the peristaltic motion of a third order fluid in an asymmetric channel Phys. Lett. A 372 2008 2653
    • (2008) Phys. Lett. A , vol.372 , pp. 2653
    • Hayat, T.1    Qureshi, M.U.2    Ali, N.3
  • 20
    • 33749338984 scopus 로고    scopus 로고
    • Slip effects on the peristaltic flow of a non-Newtonian Maxwellian fluid
    • DOI 10.1007/s00707-006-0343-6
    • E.F. El-Shehawy, El-Dabe N.T., and I.M. El-Desoki Slip effects on the peristaltic flow of a non-Newtonian Maxwellian fluid Acta Mech. 186 2006 141 159 (Pubitemid 44496435)
    • (2006) Acta Mechanica , vol.186 , Issue.1-4 , pp. 141-159
    • El-Shehawy, E.F.1    El-Dabe, N.T.2    El-Desoky, I.M.3
  • 21
    • 41649091786 scopus 로고    scopus 로고
    • The application of homotopy analysis method for 2-dimensional steady slip flow in microchannels
    • T.T. Zhang, L. Jia, Z.C. Wang, and X. Li The application of homotopy analysis method for 2-dimensional steady slip flow in microchannels Phys. Lett. A 372 2008 3223 3227
    • (2008) Phys. Lett. A , vol.372 , pp. 3223-3227
    • Zhang, T.T.1    Jia, L.2    Wang, Z.C.3    Li, X.4
  • 22
    • 55549124845 scopus 로고    scopus 로고
    • Validation of NavierStokes equations for slip flow analysis within transition region
    • Tiantian Zhang, Li Jia, and Zhicheng Wang Validation of NavierStokes equations for slip flow analysis within transition region Int. J. Heat Mass Transfer 51 2008 6323 6327
    • (2008) Int. J. Heat Mass Transfer , vol.51 , pp. 6323-6327
    • Zhang, T.1    Jia, L.2    Wang, Z.3
  • 23
    • 55549114683 scopus 로고    scopus 로고
    • Slip effects on flow and heat transfer of a non-Newtonian fluid on a stretching surface with thermal radiation
    • Mostafa Abd El-Hameed Mahmoud Slip effects on flow and heat transfer of a non-Newtonian fluid on a stretching surface with thermal radiation Int. J. Chem. Reactor Eng. 6 2008 92 113
    • (2008) Int. J. Chem. Reactor Eng. , vol.6 , pp. 92-113
    • Abd El-Hameed Mahmoud, M.1
  • 24
    • 0032592738 scopus 로고    scopus 로고
    • The effect of the slip boundary condition on the flow of fluids in a channel
    • I.J. Rao, and K.R. Rajagopai The effect of the slip boundary condition on the flow of fluids in a channel Acta Mech. 135 1999 113 126
    • (1999) Acta Mech. , vol.135 , pp. 113-126
    • Rao, I.J.1    Rajagopai, K.R.2
  • 25
    • 33847032526 scopus 로고    scopus 로고
    • The effect of the slip condition on flows of an Oldroyd 6-constant fluid
    • DOI 10.1016/j.cam.2005.10.042, PII S0377042706001488
    • T. Hayat, Masood Khan, and M. Ayub The effect of the slip condition on flows of an Oldroyd 6-constant fluid J. Comput. Appl. Math. 202 2007 402 413 (Pubitemid 46275276)
    • (2007) Journal of Computational and Applied Mathematics , vol.202 , Issue.2 , pp. 402-413
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 26
    • 38549132303 scopus 로고    scopus 로고
    • Slip effects on shearing flows in a porous medium
    • M. Khan, T. Hayat, and Y. Wang Slip effects on shearing flows in a porous medium Acta Mech. Sin. 24 2008 51 59
    • (2008) Acta Mech. Sin. , vol.24 , pp. 51-59
    • Khan, M.1    Hayat, T.2    Wang, Y.3
  • 27
    • 0141882935 scopus 로고    scopus 로고
    • The effect of the slip condition on Stokes and Couette flows due to an oscillating wall: Exact solutions
    • A.-R.A. Khaleda, and K. Vafaib The effect of the slip condition on Stokes and Couette flows due to an oscillating wall: exact solutions Int. J. Nonlinear Mech. 39 2004 795 809
    • (2004) Int. J. Nonlinear Mech. , vol.39 , pp. 795-809
    • Khaleda, A.-R.A.1    Vafaib, K.2
  • 28
    • 77951691620 scopus 로고    scopus 로고
    • The effect of the slip condition on the MHD stagnation-point over a power-law stretching sheet
    • Jing Zhu, Liancun Zheng, and Zhigang Zhang The effect of the slip condition on the MHD stagnation-point over a power-law stretching sheet Appl. Math. Mech. 31 2010 439 448
    • (2010) Appl. Math. Mech. , vol.31 , pp. 439-448
    • Zhu, J.1    Zheng, L.2    Zhang, Z.3
  • 29
    • 0000756969 scopus 로고    scopus 로고
    • Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models
    • PII S0020722598000809
    • L.I. Palade, P. Attané, R.R. Huilgol, and B. Mena Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models Int. J. Eng. Sci. 37 1999 315 329 (Pubitemid 129500373)
    • (1999) International Journal of Engineering Science , vol.37 , Issue.3 , pp. 315-329
    • Palade, L.I.1    Attane, P.2    Huilgol, R.R.3    Mena, B.4


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