메뉴 건너뛰기




Volumn 87, Issue 2, 2011, Pages 355-366

Poiseuille Flow of a Third Grade Fluid in a Porous Medium

Author keywords

Nonlinear analysis; Porous space; Third grade fluid

Indexed keywords

DARCY'S LAW; DIMENSIONLESS VELOCITY; HOMOTOPY ANALYSIS METHODS; MATHEMATICAL PROBLEMS; MOMENTUM EQUATION; NONLINEAR PROBLEMS; POISEUILLE FLOW; POROUS MEDIUM; POROUS SPACE; THIRD GRADE FLUID; THIRD GRADE FLUIDS;

EID: 79952737311     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-010-9688-3     Document Type: Article
Times cited : (21)

References (46)
  • 1
    • 38649139314 scopus 로고    scopus 로고
    • Approximate solution of the nonlinear model of diffusion and reaction catalysts by means of the homotopy analysis method
    • Abbasbandy S.: Approximate solution of the nonlinear model of diffusion and reaction catalysts by means of the homotopy analysis method. Chem. Eng. J. 136, 144-150 (2008).
    • (2008) Chem. Eng. J. , vol.136 , pp. 144-150
    • Abbasbandy, S.1
  • 2
    • 63449089713 scopus 로고    scopus 로고
    • Solution of the MHD Falkner-Skan flow by homotopy analysis method
    • Abbasbandy S., Hayat T.: Solution of the MHD Falkner-Skan flow by homotopy analysis method. Commun. Nonlinear Sci. Numer. Simul. 14, 3591-3598 (2009).
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 3591-3598
    • Abbasbandy, S.1    Hayat, T.2
  • 3
    • 35448933724 scopus 로고    scopus 로고
    • Soliton solution for the fifth-order Kdv equation with the homotopy analysis method
    • Abbasbandy S., Zakaria F. S.: Soliton solution for the fifth-order Kdv equation with the homotopy analysis method. Nonlinear Dyn. 51, 83-87 (2008).
    • (2008) Nonlinear Dyn. , vol.51 , pp. 83-87
    • Abbasbandy, S.1    Zakaria, F.S.2
  • 4
    • 61449129538 scopus 로고    scopus 로고
    • Numerical results of a flow in a third grade fluid between two porous walls
    • Abbasbandy S., Hayat T., Ellahi R., Asghar S.: Numerical results of a flow in a third grade fluid between two porous walls. Z. Naturforsch 64, 59-64 (2009a).
    • (2009) Z. Naturforsch , vol.64 , pp. 59-64
    • Abbasbandy, S.1    Hayat, T.2    Ellahi, R.3    Asghar, S.4
  • 5
    • 74949113950 scopus 로고    scopus 로고
    • On comparison of exact and series solutions for thin film flow of a third-grade fluid
    • Abbasbandy S., Hayat T., Mahomed F. M., Ellahi R.: On comparison of exact and series solutions for thin film flow of a third-grade fluid. Int. J. Numer. Meth. Fluids 67, 987-994 (2009b).
    • (2009) Int. J. Numer. Meth. Fluids , vol.67 , pp. 987-994
    • Abbasbandy, S.1    Hayat, T.2    Mahomed, F.M.3    Ellahi, R.4
  • 6
    • 53949123352 scopus 로고    scopus 로고
    • Analytical and numerical solutions of electro-osmotically driven flow of a third grade fluid between micro-parallel plates
    • Akgul M. B., Pakdemirli M.: Analytical and numerical solutions of electro-osmotically driven flow of a third grade fluid between micro-parallel plates. Int. J. Non-Linear Mech. 43, 985-992 (2008).
    • (2008) Int. J. Non-Linear Mech. , vol.43 , pp. 985-992
    • Akgul, M.B.1    Pakdemirli, M.2
  • 7
    • 0037413184 scopus 로고    scopus 로고
    • On the dispersion of a solute in Poiseuille flow of a third grade fluid in a channel
    • Akyildiz F. T.: On the dispersion of a solute in Poiseuille flow of a third grade fluid in a channel. Int. J. Non-Linear Mech. 38, 1553-1559 (2003).
    • (2003) Int. J. Non-Linear Mech. , vol.38 , pp. 1553-1559
    • Akyildiz, F.T.1
  • 8
    • 0036568059 scopus 로고    scopus 로고
    • On exact solutions of flow problems of a second grade fluid through two parallel porous walls
    • Ariel P. D.: On exact solutions of flow problems of a second grade fluid through two parallel porous walls. Int. J. Eng. Sci. 40, 913-941 (2002).
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 913-941
    • Ariel, P.D.1
  • 9
    • 0037411205 scopus 로고    scopus 로고
    • Flow of a third grade fluid through a porous flat channel
    • Ariel P. D.: Flow of a third grade fluid through a porous flat channel. Int. J. Eng. Sci. 41, 1267-1285 (2003).
    • (2003) Int. J. Eng. Sci. , vol.41 , pp. 1267-1285
    • Ariel, P.D.1
  • 12
    • 41449097382 scopus 로고    scopus 로고
    • Series solutions of nano boundary layer flows by means of the homotopy analysis method
    • Cheng J., Liao S. J., Mohapatra R. N., Vajravelu K.: Series solutions of nano boundary layer flows by means of the homotopy analysis method. J. Math. Anal. Appl. 343, 233-245 (2008).
    • (2008) J. Math. Anal. Appl. , vol.343 , pp. 233-245
    • Cheng, J.1    Liao, S.J.2    Mohapatra, R.N.3    Vajravelu, K.4
  • 13
    • 9544224158 scopus 로고    scopus 로고
    • On the comparison of two different solutions in the form of series of the governing equation of an unsteady flow of a second grade fluid
    • Erdogan M. E., Imrak C. E.: On the comparison of two different solutions in the form of series of the governing equation of an unsteady flow of a second grade fluid. Int. J. Non-Linear Mech. 40, 545-550 (2005).
    • (2005) Int. J. Non-Linear Mech. , vol.40 , pp. 545-550
    • Erdogan, M.E.1    Imrak, C.E.2
  • 14
    • 49749086066 scopus 로고    scopus 로고
    • Effects of the side walls on unsteady flow of a second grade fluid over a plane wall
    • Erdogan M. E., Imrak C. E.: Effects of the side walls on unsteady flow of a second grade fluid over a plane wall. Int. J. Non-Linear Mech. 43, 779-782 (2008).
    • (2008) Int. J. Non-Linear Mech. , vol.43 , pp. 779-782
    • Erdogan, M.E.1    Imrak, C.E.2
  • 15
    • 34548201315 scopus 로고    scopus 로고
    • Flow field of a third-grade non-Newtonian fluid in the annulus of rotating concentric cylinders in the presence of magnetic field
    • Feiz-Dizaji A., Salimpour M. R., Jam F.: Flow field of a third-grade non-Newtonian fluid in the annulus of rotating concentric cylinders in the presence of magnetic field. J. Math. Anal. Appl. 337, 632-645 (2008).
    • (2008) J. Math. Anal. Appl. , vol.337 , pp. 632-645
    • Feiz-Dizaji, A.1    Salimpour, M.R.2    Jam, F.3
  • 16
    • 0036722192 scopus 로고    scopus 로고
    • The Rayleigh-Stokes problem for heated second grade fluids
    • Fetecau C., Fetecau C.: The Rayleigh-Stokes problem for heated second grade fluids. Int. J. Non-Linear Mech. 37, 1011-1015 (2002).
    • (2002) Int. J. Non-Linear Mech. , vol.37 , pp. 1011-1015
    • Fetecau, C.1    Fetecau, C.2
  • 17
    • 33747339653 scopus 로고    scopus 로고
    • Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder
    • Fetecau C., Fetecau C.: Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder. Int. J. Eng. Sci. 44, 788-796 (2006).
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 788-796
    • Fetecau, C.1    Fetecau, C.2
  • 18
    • 38949125470 scopus 로고    scopus 로고
    • Unsteady flow of a second grade fluid between two side walls perpendicular to a plate
    • Fetecau C., Hayat T., Fetecau C., Ali N.: Unsteady flow of a second grade fluid between two side walls perpendicular to a plate. Nonlinear Anal. Real World Appl. 9, 1236-1252 (2007).
    • (2007) Nonlinear Anal. Real World Appl. , vol.9 , pp. 1236-1252
    • Fetecau, C.1    Hayat, T.2    Fetecau, C.3    Ali, N.4
  • 19
    • 0001292389 scopus 로고
    • Thermodynamics and stability of fluids of third grade
    • Fosdick R. L., Rajagopal K. R.: Thermodynamics and stability of fluids of third grade. Proc. R. Soc. Lond. A 339, 351-377 (1980).
    • (1980) Proc. R. Soc. Lond. A , vol.339 , pp. 351-377
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 20
    • 2142818049 scopus 로고    scopus 로고
    • Flow induced by non-coaxial rotation of a porous disk executing non-torsional oscillations and a second grade fluid rotating at infinity
    • Hayat T., Ellahi R., Asghar S., Siddiqui A. M.: Flow induced by non-coaxial rotation of a porous disk executing non-torsional oscillations and a second grade fluid rotating at infinity. Appl. Math. Model. 28, 591-605 (2004).
    • (2004) Appl. Math. Model. , vol.28 , pp. 591-605
    • Hayat, T.1    Ellahi, R.2    Asghar, S.3    Siddiqui, A.M.4
  • 21
    • 33644523745 scopus 로고    scopus 로고
    • Some analytical solutions for second grade fluid flows for cylindrical geometries
    • Hayat T., Khan M., Ayub M.: Some analytical solutions for second grade fluid flows for cylindrical geometries. Math. Comp. Model. 43, 16-29 (2006a).
    • (2006) Math. Comp. Model. , vol.43 , pp. 16-29
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 22
    • 33745880695 scopus 로고    scopus 로고
    • Homotopy solution for the channel flow of a third grade fluid
    • Hayat T., Ellahi R., Ariel P. D., Asghar S.: Homotopy solution for the channel flow of a third grade fluid. Nonlinear Dyn. 45, 55-64 (2006b).
    • (2006) Nonlinear Dyn. , vol.45 , pp. 55-64
    • Hayat, T.1    Ellahi, R.2    Ariel, P.D.3    Asghar, S.4
  • 23
    • 34548076880 scopus 로고    scopus 로고
    • Influence of partial slip on flows of a second grade fluid in a porous medium
    • Hayat T., Asghar S., Khalique C. M., Ellahi R.: Influence of partial slip on flows of a second grade fluid in a porous medium. J. Porous Media 10, 797-805 (2007).
    • (2007) J. Porous Media , vol.10 , pp. 797-805
    • Hayat, T.1    Asghar, S.2    Khalique, C.M.3    Ellahi, R.4
  • 24
    • 43049173455 scopus 로고    scopus 로고
    • Effects of Hall current and heat transfer on rotating flow of a second grade fluid through a porous medium
    • Hayat T., Abbas Z., Asghar S.: Effects of Hall current and heat transfer on rotating flow of a second grade fluid through a porous medium. Commun. Nonlinear Sci. Numer. Simul. 13, 2177-2192 (2008).
    • (2008) Commun. Nonlinear Sci. Numer. Simul. , vol.13 , pp. 2177-2192
    • Hayat, T.1    Abbas, Z.2    Asghar, S.3
  • 25
    • 70449119026 scopus 로고    scopus 로고
    • Heat and mass transfer for Soret and Dufour's effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid
    • Hayat T., Mustafa M., Pop I.: Heat and mass transfer for Soret and Dufour's effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid. Commun. Nonlinear Sci. Numer. Simul. 15, 1183-1196 (2009a).
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 1183-1196
    • Hayat, T.1    Mustafa, M.2    Pop, I.3
  • 26
    • 73049098751 scopus 로고    scopus 로고
    • Hall and heat transfer effects on the steady flow of a Sisko fluid
    • Hayat T., Maqbool K., Asghar S.: Hall and heat transfer effects on the steady flow of a Sisko fluid. Z. Naturforsch 64, 769-782 (2009b).
    • (2009) Z. Naturforsch , vol.64 , pp. 769-782
    • Hayat, T.1    Maqbool, K.2    Asghar, S.3
  • 28
    • 70349796197 scopus 로고    scopus 로고
    • On the homotopy solution for Poiseuille flow of a fourth grade fluid
    • Hayat T., Naz R., Sajid M.: On the homotopy solution for Poiseuille flow of a fourth grade fluid. Commun. Nonlinear Sci. Numer. Simul. 15, 581-589 (2010b).
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 581-589
    • Hayat, T.1    Naz, R.2    Sajid, M.3
  • 29
    • 72049109971 scopus 로고    scopus 로고
    • Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium
    • Hayat T., Abbas Z., Pop I., Asghar S.: Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium. Int. J. Heat Mass Transf. 53, 466-474 (2010c).
    • (2010) Int. J. Heat Mass Transf. , vol.53 , pp. 466-474
    • Hayat, T.1    Abbas, Z.2    Pop, I.3    Asghar, S.4
  • 30
    • 41649086117 scopus 로고    scopus 로고
    • MHD flows of a second grade fluid between two side walls perpendicular to a plate through a porous medium
    • Khan M., Ali S. H., Hayat T., Fetecau C.: MHD flows of a second grade fluid between two side walls perpendicular to a plate through a porous medium. Int. J. Non-Linear Mech. 43, 302-319 (2008).
    • (2008) Int. J. Non-Linear Mech. , vol.43 , pp. 302-319
    • Khan, M.1    Ali, S.H.2    Hayat, T.3    Fetecau, C.4
  • 32
    • 67349214616 scopus 로고    scopus 로고
    • On thermal stability of a reactive third-grade fluid in a channel with convective cooling the walls
    • Makinde O. D.: On thermal stability of a reactive third-grade fluid in a channel with convective cooling the walls. Appl. Math. Comp. 213, 170-176 (2009).
    • (2009) Appl. Math. Comp. , vol.213 , pp. 170-176
    • Makinde, O.D.1
  • 33
    • 73249142874 scopus 로고    scopus 로고
    • Flow of a third grade fluid between coaxial cylinders with variable viscosity
    • Malik M. Y., Hussain A., Nadeem S., Hayat T.: Flow of a third grade fluid between coaxial cylinders with variable viscosity. Z. Naturforsch 64, 588-596 (2009).
    • (2009) Z. Naturforsch , vol.64 , pp. 588-596
    • Malik, M.Y.1    Hussain, A.2    Nadeem, S.3    Hayat, T.4
  • 34
    • 70350504290 scopus 로고    scopus 로고
    • Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet
    • Nadeem S., Hussain A., Malik M. Y., Hayat T.: Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet. Appl. Math. Mech. -Engl. Ed. 30(10), 1255-1262 (2009).
    • (2009) Appl. Math. Mech. -Engl. Ed. , vol.30 , Issue.10 , pp. 1255-1262
    • Nadeem, S.1    Hussain, A.2    Malik, M.Y.3    Hayat, T.4
  • 35
    • 70449643530 scopus 로고    scopus 로고
    • Effects of partial slip on a fourth grade fluid with variable viscosity: an analytic solution
    • Nadeem S., Hayat T., Abbasbandy S., Ali M.: Effects of partial slip on a fourth grade fluid with variable viscosity: an analytic solution. Nonlinear Anal. Real World Appl. 11, 856-868 (2010).
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 856-868
    • Nadeem, S.1    Hayat, T.2    Abbasbandy, S.3    Ali, M.4
  • 36
    • 37749024770 scopus 로고    scopus 로고
    • On the transition for a generalized Couette flow of a reactive third-grade fluid with viscous dissipation
    • Okoya S. S.: On the transition for a generalized Couette flow of a reactive third-grade fluid with viscous dissipation. Int. Commun. Heat Mass Transf. 35, 188-196 (2008).
    • (2008) Int. Commun. Heat Mass Transf. , vol.35 , pp. 188-196
    • Okoya, S.S.1
  • 37
    • 32044455340 scopus 로고    scopus 로고
    • Entropy generation for pipe flow of a third grade fluid with Vogel model viscosity
    • Pakdemirli M., Yilbas B. S.: Entropy generation for pipe flow of a third grade fluid with Vogel model viscosity. Int. J. Non-Linear Mech. 41, 432-437 (2006).
    • (2006) Int. J. Non-Linear Mech. , vol.41 , pp. 432-437
    • Pakdemirli, M.1    Yilbas, B.S.2
  • 38
    • 50249112720 scopus 로고    scopus 로고
    • Hiemenz flow and heat transfer of a third grade fluid
    • Sahoo B.: Hiemenz flow and heat transfer of a third grade fluid. Commun. Nonlinear Sci. Numer. Sim. 14, 811-826 (2009).
    • (2009) Commun. Nonlinear Sci. Numer. Sim. , vol.14 , pp. 811-826
    • Sahoo, B.1
  • 39
    • 77950657139 scopus 로고    scopus 로고
    • Effects of slip viscous dissipation and Joule heating on the MHD flow and heat transfer of a second grade fluid past a radially stretching sheet
    • Sahoo B.: Effects of slip viscous dissipation and Joule heating on the MHD flow and heat transfer of a second grade fluid past a radially stretching sheet. Appl. Math. Mech. 31, 159-173 (2010a).
    • (2010) Appl. Math. Mech. , vol.31 , pp. 159-173
    • Sahoo, B.1
  • 40
    • 70349804906 scopus 로고    scopus 로고
    • Flow and heat transfer of a non-Newtonian fluid past a stretching sheet with partial slip
    • Sahoo B.: Flow and heat transfer of a non-Newtonian fluid past a stretching sheet with partial slip. Commun. Nonlinear Sci. Numer. Simul. 15, 602-615 (2010b).
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 602-615
    • Sahoo, B.1
  • 41
    • 70350786326 scopus 로고    scopus 로고
    • Torsional flow of third grade fluid using modified homotopy perturbation method
    • Siddiqui A. M., Haroon T., Irum S.: Torsional flow of third grade fluid using modified homotopy perturbation method. Comp. Math. Appl. 58, 2274-2285 (2009).
    • (2009) Comp. Math. Appl. , vol.58 , pp. 2274-2285
    • Siddiqui, A.M.1    Haroon, T.2    Irum, S.3
  • 42
    • 35348910139 scopus 로고    scopus 로고
    • Series solution of three-dimensional unsteady laminar viscous flow due to a stretching surface in a rotating fluid
    • Tan Y., Liao S. J.: Series solution of three-dimensional unsteady laminar viscous flow due to a stretching surface in a rotating fluid. J. Appl. Mech. 74, 1011-1018 (2007).
    • (2007) J. Appl. Mech. , vol.74 , pp. 1011-1018
    • Tan, Y.1    Liao, S.J.2
  • 43
    • 9544246749 scopus 로고    scopus 로고
    • Stokes' first problem for a second grade fluid in a porous half space with heated boundary
    • Tan W. C., Masuoka T.: Stokes' first problem for a second grade fluid in a porous half space with heated boundary. Int. J. Non-Linear Mech. 40, 515-522 (2005).
    • (2005) Int. J. Non-Linear Mech. , vol.40 , pp. 515-522
    • Tan, W.C.1    Masuoka, T.2
  • 44
    • 0036723120 scopus 로고    scopus 로고
    • On solutions of some non-linear differential equations arising in third grade fluid flows
    • Vajravelu K., Cannon J. R., Rollins D., Leto J.: On solutions of some non-linear differential equations arising in third grade fluid flows. Int. J. Eng. Sci. 40, 1791-1805 (2002).
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 1791-1805
    • Vajravelu, K.1    Cannon, J.R.2    Rollins, D.3    Leto, J.4
  • 45
    • 34548433485 scopus 로고    scopus 로고
    • Time-dependent magnetohydrodynamic flow induced by non-coaxial rotations of a non-torsionally oscillating porous plate and a third-order fluid at infinity
    • Wang Y., Wu W.: Time-dependent magnetohydrodynamic flow induced by non-coaxial rotations of a non-torsionally oscillating porous plate and a third-order fluid at infinity. Math. Comput. Model. 46, 1277-1293 (2007).
    • (2007) Math. Comput. Model. , vol.46 , pp. 1277-1293
    • Wang, Y.1    Wu, W.2
  • 46
    • 33845466309 scopus 로고    scopus 로고
    • Series solutions of unsteady three dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate
    • Xu H., Liao S. J., Pop I.: Series solutions of unsteady three dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate. Eur. J. Mech.-B\Fluid. 26, 15-27 (2007).
    • (2007) Eur. J. Mech.-B\Fluid. , vol.26 , pp. 15-27
    • Xu, H.1    Liao, S.J.2    Pop, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.