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Volumn 43, Issue 9, 2008, Pages 868-879

Exact solutions of starting flows for second grade fluid in a porous medium

Author keywords

Exact solutions; Magnetohydrodynamic (MHD) flow; Porous medium; Second grade fluid

Indexed keywords

FLUID DYNAMICS; FLUID MECHANICS; GROUNDWATER FLOW; MAGNETIC FIELDS; NUMERICAL ANALYSIS; PRESSURE GRADIENT; PULSATILE FLOW; UNSTEADY FLOW; WALL FLOW;

EID: 53949117390     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2008.06.002     Document Type: Article
Times cited : (27)

References (32)
  • 1
    • 0020292255 scopus 로고
    • A note on unsteady unidirectional flows of a non-Newtonian fluid
    • Rajagopal K.R. A note on unsteady unidirectional flows of a non-Newtonian fluid. Int. J. Non-Linear Mech. 17 (1982) 369-373
    • (1982) Int. J. Non-Linear Mech. , vol.17 , pp. 369-373
    • Rajagopal, K.R.1
  • 2
    • 0020592051 scopus 로고
    • Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid
    • Rajagopal K.R. Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid. Acta Mech. 49 (1983) 282-285
    • (1983) Acta Mech. , vol.49 , pp. 282-285
    • Rajagopal, K.R.1
  • 3
    • 0021202521 scopus 로고
    • On the creeping flow of second order fluid
    • Rajagopal K.R. On the creeping flow of second order fluid. J. Non-Newtonian Fluid Mech. 48 (1984) 239-246
    • (1984) J. Non-Newtonian Fluid Mech. , vol.48 , pp. 239-246
    • Rajagopal, K.R.1
  • 4
    • 0021127642 scopus 로고
    • An exact solution for the flow of a non-Newtonian fluid past an infinite plate
    • Rajagopal K.R., and Gupta A.S. An exact solution for the flow of a non-Newtonian fluid past an infinite plate. Meccanica 19 (1984) 158-160
    • (1984) Meccanica , vol.19 , pp. 158-160
    • Rajagopal, K.R.1    Gupta, A.S.2
  • 5
    • 0000968078 scopus 로고
    • On some unsteady motions of fluids of second grade fluid
    • Bandelli R., Rajagopal K.R., and Galdi G.P. On some unsteady motions of fluids of second grade fluid. Arch. Mech. 47 (1995) 661-676
    • (1995) Arch. Mech. , vol.47 , pp. 661-676
    • Bandelli, R.1    Rajagopal, K.R.2    Galdi, G.P.3
  • 6
    • 0000843369 scopus 로고
    • Start-up flows of second grade fluid in domains with one finite dimension
    • Bandelli R., and Rajagopal K.R. Start-up flows of second grade fluid in domains with one finite dimension. Int. J. Non-Linear Mech. 30 (1995) 817-839
    • (1995) Int. J. Non-Linear Mech. , vol.30 , pp. 817-839
    • Bandelli, R.1    Rajagopal, K.R.2
  • 7
    • 0018061357 scopus 로고
    • Uniqueness and drag for fluids of second grade in steady motion
    • Fosdick R.L., and Rajagopal K.R. Uniqueness and drag for fluids of second grade in steady motion. Int. J. Non-Linear Mech. 13 (1978) 131-137
    • (1978) Int. J. Non-Linear Mech. , vol.13 , pp. 131-137
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 8
    • 0036568059 scopus 로고    scopus 로고
    • On exact solution of flow problems of a second grade fluid through two parallel plates
    • Ariel P.D. On exact solution of flow problems of a second grade fluid through two parallel plates. Int. J. Eng. Sci. 40 (2002) 913-941
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 913-941
    • Ariel, P.D.1
  • 9
    • 0036722193 scopus 로고    scopus 로고
    • On the unsteady unidirectional flows generated by impulsive motion of a boundary or sudden application of a pressure gradient
    • Erdoǧan M.E. On the unsteady unidirectional flows generated by impulsive motion of a boundary or sudden application of a pressure gradient. Int. J. Nonlinear Mech. 37 (2002) 1091-1106
    • (2002) Int. J. Nonlinear Mech. , vol.37 , pp. 1091-1106
    • Erdoǧan, M.E.1
  • 10
    • 26444550706 scopus 로고    scopus 로고
    • On unsteady unidirectional flows of a second grade fluid
    • Erdoǧan M.E., and Imrak C.E. On unsteady unidirectional flows of a second grade fluid. Int. J. Non-Linear Mech. 40 (2005) 1238-1251
    • (2005) Int. J. Non-Linear Mech. , vol.40 , pp. 1238-1251
    • Erdoǧan, M.E.1    Imrak, C.E.2
  • 11
    • 0036722192 scopus 로고    scopus 로고
    • The Rayleigh-Stokes problem for heated second grade fluids
    • Fetecau C., and Fetecau C. The Rayleigh-Stokes problem for heated second grade fluids. Int. J. Non-Linear Mech. 37 (2002) 1011-1015
    • (2002) Int. J. Non-Linear Mech. , vol.37 , pp. 1011-1015
    • Fetecau, C.1    Fetecau, C.2
  • 12
    • 0034827983 scopus 로고    scopus 로고
    • On a class of exact solutions of equations of motion of second grade fluid
    • Fetecau C., and Zierep J. On a class of exact solutions of equations of motion of second grade fluid. Acta Mech. 150 (2001) 135-138
    • (2001) Acta Mech. , vol.150 , pp. 135-138
    • Fetecau, C.1    Zierep, J.2
  • 13
    • 22944437728 scopus 로고    scopus 로고
    • Starting solutions for some unsteady unidirectional flows of a second grade fluid
    • Fetecau C., and Fetecau C. Starting solutions for some unsteady unidirectional flows of a second grade fluid. Int. J. Eng. Sci. 43 (2005) 781-789
    • (2005) Int. J. Eng. Sci. , vol.43 , pp. 781-789
    • Fetecau, C.1    Fetecau, C.2
  • 14
    • 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., and Ali N. Unsteady flow of a second grade fluid between two side walls perpendicular to a plate. Nonlinear Anal.: Real World Appl. 9 (2008) 1236-1252
    • (2008) Nonlinear Anal.: Real World Appl. , vol.9 , pp. 1236-1252
    • Fetecau, C.1    Hayat, T.2    Fetecau, C.3    Ali, N.4
  • 16
    • 33644523745 scopus 로고    scopus 로고
    • Some analytic solutions for second grade fluid flows for cylindrical geometries
    • Hayat T., Khan M., and Ayub M. Some analytic solutions for second grade fluid flows for cylindrical geometries. Math. Comput. Modell. 43 (2006) 16-29
    • (2006) Math. Comput. Modell. , vol.43 , pp. 16-29
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 17
    • 27644496000 scopus 로고    scopus 로고
    • The unsteady Couette flow of a second grade fluid in a layer of porous medium
    • Hayat T., Khan M., Ayub M., and Siddiqui A.M. The unsteady Couette flow of a second grade fluid in a layer of porous medium. Arch. Mech. 57 (2005) 405-416
    • (2005) Arch. Mech. , vol.57 , pp. 405-416
    • Hayat, T.1    Khan, M.2    Ayub, M.3    Siddiqui, A.M.4
  • 18
    • 0037466722 scopus 로고    scopus 로고
    • Unsteady unidirectional flow of a second grade fluid between the parallel plates with different given volume flow rate conditions
    • Chen C.I., Chen C.K., and Yang Y.T. Unsteady unidirectional flow of a second grade fluid between the parallel plates with different given volume flow rate conditions. Appl. Math. Comput. 137 (2003) 437-450
    • (2003) Appl. Math. Comput. , vol.137 , pp. 437-450
    • Chen, C.I.1    Chen, C.K.2    Yang, Y.T.3
  • 19
    • 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. Comm. 29 (2002) 3-9
    • (2002) Mech. Res. Comm. , vol.29 , pp. 3-9
    • Tan, W.C.1    Xu, M.Y.2
  • 20
    • 9544246749 scopus 로고    scopus 로고
    • Stokes' first problem for a second grade fluid in a porous half space with heated boundary
    • Tan W.C., and Masuoka T. Stokes' first problem for a second grade fluid in a porous half space with heated boundary. Int. J. Non-Linear Mech. 40 (2005) 515-522
    • (2005) Int. J. Non-Linear Mech. , vol.40 , pp. 515-522
    • Tan, W.C.1    Masuoka, T.2
  • 21
    • 33644479397 scopus 로고
    • Boundedness and uniqueness of fluids of the differential type
    • Rajagopal K.R. Boundedness and uniqueness of fluids of the differential type. Acta Cienca Indica 18 (1982) 1-11
    • (1982) Acta Cienca Indica , vol.18 , pp. 1-11
    • Rajagopal, K.R.1
  • 22
    • 0000762280 scopus 로고
    • On the boundary conditions for fluids of differential type
    • Sequeira A. (Ed), Plenum Press, NewYork
    • Rajagopal K.R. On the boundary conditions for fluids of differential type. In: Sequeira A. (Ed). Navier-Stokes Equations and Related Non-Linear Problems (1995), Plenum Press, NewYork
    • (1995) Navier-Stokes Equations and Related Non-Linear Problems
    • Rajagopal, K.R.1
  • 23
    • 0002230177 scopus 로고
    • Some remarks on boundary conditions for fluids of differential type
    • Gram G.A.C., and Malik S.K. (Eds), Hemisphere, Washington, DC
    • Rajagopal K.R., and Kaloni P.N. Some remarks on boundary conditions for fluids of differential type. In: Gram G.A.C., and Malik S.K. (Eds). Continuum Mechanics and its Applications (1989), Hemisphere, Washington, DC
    • (1989) Continuum Mechanics and its Applications
    • Rajagopal, K.R.1    Kaloni, P.N.2
  • 24
    • 0001641325 scopus 로고
    • An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate
    • Rajagopal K.R., Szeri A.Z., and Troy W. An existence theorem for the flow of a non-Newtonian fluid past an infinite porous plate. Int. J. Non-Linear Mech. 21 (1986) 279-289
    • (1986) Int. J. Non-Linear Mech. , vol.21 , pp. 279-289
    • Rajagopal, K.R.1    Szeri, A.Z.2    Troy, W.3
  • 25
    • 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
  • 26
    • 34548291405 scopus 로고    scopus 로고
    • MHD transient flows in a channel of rectangular cross-section with porous medium
    • Khan M., Fetecau C., and Hayat T. MHD transient flows in a channel of rectangular cross-section with porous medium. Phys. Lett. A 369 (2007) 44-54
    • (2007) Phys. Lett. A , vol.369 , pp. 44-54
    • Khan, M.1    Fetecau, C.2    Hayat, T.3
  • 27
    • 36048941748 scopus 로고    scopus 로고
    • Transient oscillatory and constantly accelerated non-Newtonian flow in a porous medium
    • Khan M., Saleem M., Fetecau C., and Hayat T. Transient oscillatory and constantly accelerated non-Newtonian flow in a porous medium. Int. J. Non-Linear Mech. 42 (2007) 1224-1239
    • (2007) Int. J. Non-Linear Mech. , vol.42 , pp. 1224-1239
    • Khan, M.1    Saleem, M.2    Fetecau, C.3    Hayat, T.4
  • 28
    • 43649092634 scopus 로고    scopus 로고
    • T. Hayat, C. Fetecau, M. Sajid, Analytical solution for MHD transient rotating flow of a second grade fluid in a porous space, Nonlinear Anal.: Real World Appl. (2007), doi:10.1016/j. nonrwa. 2007.04.006.
    • T. Hayat, C. Fetecau, M. Sajid, Analytical solution for MHD transient rotating flow of a second grade fluid in a porous space, Nonlinear Anal.: Real World Appl. (2007), doi:10.1016/j. nonrwa. 2007.04.006.
  • 29
    • 33846963201 scopus 로고    scopus 로고
    • On a hierarchy of approximate models for flows of incompressible fluids through porous solids
    • Rajagopal K.R. On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Math. Model Methods Appl. Sci. 17 (2007) 215-252
    • (2007) Math. Model Methods Appl. Sci. , vol.17 , pp. 215-252
    • Rajagopal, K.R.1
  • 30
    • 0018681758 scopus 로고
    • Anomalous features in the model of second order fluids
    • Fosdick R.L., and Rajagopal K.R. Anomalous features in the model of second order fluids. Arch. Ration. Mech. Anal. 70 (1979) 145-152
    • (1979) Arch. Ration. Mech. Anal. , vol.70 , pp. 145-152
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 31
    • 0029289811 scopus 로고
    • Fluids of differential type: critical review and thermodynamic analysis
    • Dunn J.E., and Rajagopal K.R. Fluids of differential type: critical review and thermodynamic analysis. Int. J. Eng. Sci. 33 (1995) 689-729
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 689-729
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 32
    • 0004005977 scopus 로고
    • McGraw-Hill, New York, Toronto, London
    • Sneddon I.N. Fourier Transforms (1951), McGraw-Hill, New York, Toronto, London
    • (1951) Fourier Transforms
    • Sneddon, I.N.1


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