메뉴 건너뛰기




Volumn 83, Issue 2, 2010, Pages 375-395

Approximate analytical solutions for flow of a third-grade fluid through a parallel-plate channel filled with a porous medium

Author keywords

Parallel plate flow; Perturbation techniques; Porous space; Third grade fluids

Indexed keywords

ANALYTICAL AND NUMERICAL SOLUTIONS; APPROXIMATE ANALYTICAL SOLUTIONS; APPROXIMATE SOLUTION; DARCY'S LAW; ENERGY EQUATION; IN-BETWEEN; MOMENTUM EQUATION; NON-NEWTONIAN FLUIDS; PARALLEL PLATES; PARALLEL-PLATE CHANNELS; PARALLEL-PLATE FLOW; POROUS MEDIA; POROUS MEDIUM; POROUS SPACE; RESIDUAL ERROR; THIRD GRADE FLUIDS;

EID: 77952240150     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9447-5     Document Type: Article
Times cited : (45)

References (27)
  • 1
    • 59849099838 scopus 로고    scopus 로고
    • A simple analytical solution for the steady flow of a third grade fluid in a porous half space
    • Ahmad F.: A simple analytical solution for the steady flow of a third grade fluid in a porous half space. Commun. Nonlinear Sci. Numer. Simul. 14, 2848-2852 (2009).
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 2848-2852
    • Ahmad, F.1
  • 2
    • 53949123352 scopus 로고    scopus 로고
    • Analytical and numerical solutions of electro-osmotically driven flow of a third grade fluid between micro-parallel plates
    • Akgül M. B., Pakdemirli M.: Analytical and numerical solutions of electro-osmotically driven flow of a third grade fluid between micro-parallel plates. Int. J. Nonlinear Mech. 43, 985-992 (2008).
    • (2008) Int. J. Nonlinear Mech. , vol.43 , pp. 985-992
    • Akgül, M.B.1    Pakdemirli, M.2
  • 3
    • 0041764457 scopus 로고    scopus 로고
    • Exact flow of a third grade fluid past a porous plate using homotopy analysis method
    • Ayub M., Rasheed A., Hayat T.: Exact flow of a third grade fluid past a porous plate using homotopy analysis method. Int. J. Nonlinear Mech. 41, 2091-2103 (2003).
    • (2003) Int. J. Nonlinear Mech. , vol.41 , pp. 2091-2103
    • Ayub, M.1    Rasheed, A.2    Hayat, T.3
  • 4
    • 35348891499 scopus 로고    scopus 로고
    • Nonlinear shear and elongational rheology of model polymer melts at low strain rates
    • Daivis P. J., Matin M. L., Todd B. D.: Nonlinear shear and elongational rheology of model polymer melts at low strain rates. J. Non-Newtonian Fluid Mech. 147, 35-44 (2007).
    • (2007) J. Non-Newtonian Fluid Mech. , vol.147 , pp. 35-44
    • Daivis, P.J.1    Matin, M.L.2    Todd, B.D.3
  • 5
    • 0036588839 scopus 로고    scopus 로고
    • Viscoelastic fluid models derived from kinetic equations for polymers
    • Degond P., Lemou M., Picasso M.: Viscoelastic fluid models derived from kinetic equations for polymers. SIAM J. Appl. Math. 62, 1501-1519 (2002).
    • (2002) SIAM J. Appl. Math. , vol.62 , pp. 1501-1519
    • Degond, P.1    Lemou, M.2    Picasso, M.3
  • 6
    • 0029289811 scopus 로고
    • Fluids of differential type: Critical review and thermodynamic analysis
    • Dunn J. E., Rajagopal K. R.: Fluids of differential type: critical review and thermodynamic analysis. Int. J. Eng. Sci. 33, 689-729 (1995).
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 689-729
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 7
    • 56049086133 scopus 로고    scopus 로고
    • Effects of variable viscosity in a third grade fluid with porous medium: An analytic solution
    • Ellahi R., Afzal S.: Effects of variable viscosity in a third grade fluid with porous medium: an analytic solution. Commun. Nonlinear Sci. Numer. Simul. 14, 2056-2072 (2009).
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 2056-2072
    • Ellahi, R.1    Afzal, S.2
  • 8
    • 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
  • 9
    • 42949170894 scopus 로고    scopus 로고
    • Heat transfer analysis on the MHD flow of a second grade fluid in a channel with porous medium
    • Hayat T., Abbas Z.: Heat transfer analysis on the MHD flow of a second grade fluid in a channel with porous medium. Chaos Solitons Fractals 38, 556-567 (2008).
    • (2008) Chaos Solitons Fractals , vol.38 , pp. 556-567
    • Hayat, T.1    Abbas, Z.2
  • 10
    • 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 (2006).
    • (2006) Nonlinear Dyn. , vol.45 , pp. 55-64
    • Hayat, T.1    Ellahi, R.2    Ariel, P.D.3    Asghar, S.4
  • 11
    • 34250025191 scopus 로고    scopus 로고
    • Analytical solution for the steady flow of the third grade fluid in a porous half space
    • Hayat T., Shahzad F., Ayub M.: Analytical solution for the steady flow of the third grade fluid in a porous half space. Appl. Math. Model. 31, 2424-2432 (2007).
    • (2007) Appl. Math. Model. , vol.31 , pp. 2424-2432
    • Hayat, T.1    Shahzad, F.2    Ayub, M.3
  • 12
  • 13
    • 42649114823 scopus 로고    scopus 로고
    • Flow through porous media due to high pressure gradients
    • Kannan K., Rajagopal K. R.: Flow through porous media due to high pressure gradients. Appl. Math. Comput. 199, 748-759 (2008).
    • (2008) Appl. Math. Comput. , vol.199 , pp. 748-759
    • Kannan, K.1    Rajagopal, K.R.2
  • 14
    • 38949143275 scopus 로고    scopus 로고
    • Analytic solution for flow of sisko fluid through a porous medium
    • Khan M., Abbas Z., Hayat T.: Analytic solution for flow of sisko fluid through a porous medium. Transp. Porous Media 71, 23-37 (2008).
    • (2008) Transp. Porous Media , vol.71 , pp. 23-37
    • Khan, M.1    Abbas, Z.2    Hayat, T.3
  • 15
    • 0026172761 scopus 로고
    • Permeability of a fracture with cylindrical asperities
    • Kumar S., Zimmerman R. W., Bodvarsson G. S.: Permeability of a fracture with cylindrical asperities. Fluid Dyn. Res. 7, 131-137 (1991).
    • (1991) Fluid Dyn. Res. , vol.7 , pp. 131-137
    • Kumar, S.1    Zimmerman, R.W.2    Bodvarsson, G.S.3
  • 16
    • 9544254862 scopus 로고    scopus 로고
    • Flow and heat transfer of an electrically conducting fluid of second grade in porous medium over a stretching sheet subject to a transverse magnetic field
    • Liu I.: Flow and heat transfer of an electrically conducting fluid of second grade in porous medium over a stretching sheet subject to a transverse magnetic field. Int. J. Nonlinear Mech. 40, 465-474 (2005).
    • (2005) Int. J. Nonlinear Mech. , vol.40 , pp. 465-474
    • Liu, I.1
  • 17
    • 0027560421 scopus 로고
    • Heat transfer analysis of a non-Newtonian fluid past a porous plate
    • Maneschy C. E., Massoudi M., Ghoneimy A.: Heat transfer analysis of a non-Newtonian fluid past a porous plate. Int. J. Nonlinear Mech. 28, 131-143 (1993).
    • (1993) Int. J. Nonlinear Mech. , vol.28 , pp. 131-143
    • Maneschy, C.E.1    Massoudi, M.2    Ghoneimy, A.3
  • 18
    • 0002523282 scopus 로고
    • Effects of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe
    • Massoudi M., Christie I.: Effects of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe. Int. J. Nonlinear Mech. 30, 687-699 (1995).
    • (1995) Int. J. Nonlinear Mech. , vol.30 , pp. 687-699
    • Massoudi, M.1    Christie, I.2
  • 20
    • 0001526376 scopus 로고
    • Stress deformation relation for isotropic materials
    • Rivlin R. S., Ericksen J. L.: Stress deformation relation for isotropic materials. J. Ration. Mech. Anal. 4, 323-329 (1955).
    • (1955) J. Ration. Mech. Anal. , vol.4 , pp. 323-329
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 21
    • 38649132625 scopus 로고    scopus 로고
    • Series solution for steady flow of a third grade fluid through porous space
    • Sajid M., Hayat T.: Series solution for steady flow of a third grade fluid through porous space. Transp. Porous Media 71, 173-183 (2008).
    • (2008) Transp. Porous Media , vol.71 , pp. 173-183
    • Sajid, M.1    Hayat, T.2
  • 22
    • 35348905577 scopus 로고    scopus 로고
    • Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates
    • Siddiqui A. M., Zeb A., Ghori Q. K., Benharbit A. M.: Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates. Chaos Solitons Fractals 36, 182-192 (2008).
    • (2008) Chaos Solitons Fractals , vol.36 , pp. 182-192
    • Siddiqui, A.M.1    Zeb, A.2    Ghori, Q.K.3    Benharbit, A.M.4
  • 23
    • 34247490169 scopus 로고    scopus 로고
    • A note on the flow through porous solids at high pressures
    • Subramanian S. C., Rajagopal K. R.: A note on the flow through porous solids at high pressures. Comput. Math. Appl. 53, 260-275 (2007).
    • (2007) Comput. Math. Appl. , vol.53 , pp. 260-275
    • Subramanian, S.C.1    Rajagopal, K.R.2
  • 25
    • 0036489512 scopus 로고    scopus 로고
    • Approximate analytical solutions for the flow of a third grade fluid in a pipe
    • Yürüsoy M., Pakdemirli M.: Approximate analytical solutions for the flow of a third grade fluid in a pipe. Int. J. Nonlinear Mech. 37, 187-195 (2002).
    • (2002) Int. J. Nonlinear Mech. , vol.37 , pp. 187-195
    • Yürüsoy, M.1    Pakdemirli, M.2
  • 27
    • 46849102990 scopus 로고    scopus 로고
    • Entropy analysis for third grade fluid flow with Vogel model viscosity in annular pipe
    • Yürüsoy M., Bayrakçeken H., Kapucu M., Aksoy F.: Entropy analysis for third grade fluid flow with Vogel model viscosity in annular pipe. Int. J. Nonlinear Mech. 43, 588-599 (2008b).
    • (2008) Int. J. Nonlinear Mech. , vol.43 , pp. 588-599
    • Yürüsoy, M.1    Bayrakçeken, H.2    Kapucu, M.3    Aksoy, F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.