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Volumn 15, Issue 3, 2010, Pages 602-615

Flow and heat transfer of a non-Newtonian fluid past a stretching sheet with partial slip

Author keywords

Broyden's method; Finite difference method; Heat transfer; Partial slip; Shooting method; Third grade fluid

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; FINITE DIFFERENCE METHOD; FLOW MEASUREMENT; FRICTION; MATHEMATICAL TRANSFORMATIONS; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; VISCOUS FLOW;

EID: 70349804906     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.04.032     Document Type: Article
Times cited : (90)

References (45)
  • 1
    • 84984085449 scopus 로고
    • Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow
    • Sakiadis B.C. Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChE J 7 (1961) 26-28
    • (1961) AIChE J , vol.7 , pp. 26-28
    • Sakiadis, B.C.1
  • 2
    • 0003026378 scopus 로고
    • Grenzschichten in Flüssigkeiten mit kleiner Reibung
    • Blasius H. Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z Math Physik 56 (1908) 1-37
    • (1908) Z Math Physik , vol.56 , pp. 1-37
    • Blasius, H.1
  • 3
    • 26844565878 scopus 로고    scopus 로고
    • Numerical solutions of the classical Blasius flat-plate problem
    • Cortell R. Numerical solutions of the classical Blasius flat-plate problem. Appl Math Comput 170 (2005) 706-710
    • (2005) Appl Math Comput , vol.170 , pp. 706-710
    • Cortell, R.1
  • 4
    • 33646496072 scopus 로고
    • Heat and mass transfer on a moving continuous flat plate with suction or injection
    • Erickson L.E., Fan L.T., and Fox V.G. Heat and mass transfer on a moving continuous flat plate with suction or injection. Ind Eng Chem Fund 5 (1969) 19-25
    • (1969) Ind Eng Chem Fund , vol.5 , pp. 19-25
    • Erickson, L.E.1    Fan, L.T.2    Fox, V.G.3
  • 5
    • 33646099212 scopus 로고
    • Flow past a stretching sheet
    • Crane L.J. Flow past a stretching sheet. Z Angew Math Phys (ZAMP) 21 (1970) 645-647
    • (1970) Z Angew Math Phys (ZAMP) , vol.21 , pp. 645-647
    • Crane, L.J.1
  • 6
    • 0023246415 scopus 로고
    • On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary
    • Mcleod J.B., and Rajagopal K.R. On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary. Arch Ration Mech Anal 98 (1987) 386-393
    • (1987) Arch Ration Mech Anal , vol.98 , pp. 386-393
    • Mcleod, J.B.1    Rajagopal, K.R.2
  • 7
    • 84984317575 scopus 로고
    • Heat and mass transfer on a stretching sheet with suction or blowing
    • Gupta P.S., and Gupta A.S. Heat and mass transfer on a stretching sheet with suction or blowing. Can J Chem Eng 55 (1977) 744-746
    • (1977) Can J Chem Eng , vol.55 , pp. 744-746
    • Gupta, P.S.1    Gupta, A.S.2
  • 8
    • 46449124143 scopus 로고    scopus 로고
    • Thin film flow of an unsteady shrinking sheet through porous medium with variable viscosity
    • Nadeem S., and Awais M. Thin film flow of an unsteady shrinking sheet through porous medium with variable viscosity. Phys Lett A 372 (2008) 4965-4972
    • (2008) Phys Lett A , vol.372 , pp. 4965-4972
    • Nadeem, S.1    Awais, M.2
  • 9
    • 33749517178 scopus 로고    scopus 로고
    • Fluid flow over a nonlinearly stretching sheet
    • Vajravelu K., and Cannon J.R. Fluid flow over a nonlinearly stretching sheet. Appl Math Comput 181 (2006) 609-618
    • (2006) Appl Math Comput , vol.181 , pp. 609-618
    • Vajravelu, K.1    Cannon, J.R.2
  • 10
    • 38049011387 scopus 로고    scopus 로고
    • Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet
    • Cortell R. Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet. Phys Lett A 372 (2008) 631-636
    • (2008) Phys Lett A , vol.372 , pp. 631-636
    • Cortell, R.1
  • 11
    • 0021480113 scopus 로고
    • The three-dimensional flow due to a stretching flat surface
    • Wang C.Y. The three-dimensional flow due to a stretching flat surface. Phys Fluids 27 (1984) 1915-1917
    • (1984) Phys Fluids , vol.27 , pp. 1915-1917
    • Wang, C.Y.1
  • 12
    • 34248186488 scopus 로고    scopus 로고
    • On computation of the three-dimensional flow past a stretching sheet
    • Ariel P.D. On computation of the three-dimensional flow past a stretching sheet. Appl Math Comput 188 (2007) 1244-1250
    • (2007) Appl Math Comput , vol.188 , pp. 1244-1250
    • Ariel, P.D.1
  • 13
    • 0000610314 scopus 로고
    • Flow of a viscoelastic fluid over a stretching sheet
    • Rajagopal K.R., Na T.Y., and Gupta A.S. Flow of a viscoelastic fluid over a stretching sheet. Rheol Acta 23 (1984) 213-215
    • (1984) Rheol Acta , vol.23 , pp. 213-215
    • Rajagopal, K.R.1    Na, T.Y.2    Gupta, A.S.3
  • 14
    • 0027083722 scopus 로고
    • MHD flow of a viscoelastic fluid past a stretching sheet
    • Andersson H.I. MHD flow of a viscoelastic fluid past a stretching sheet. Acta Mech 95 (1992) 227-230
    • (1992) Acta Mech , vol.95 , pp. 227-230
    • Andersson, H.I.1
  • 15
    • 0028083897 scopus 로고
    • MHD flow of a viscoelastic fluid past a stretching sheet with suction
    • Ariel P.D. MHD flow of a viscoelastic fluid past a stretching sheet with suction. Acta Mech 105 (1994) 49-56
    • (1994) Acta Mech , vol.105 , pp. 49-56
    • Ariel, P.D.1
  • 16
    • 3242704287 scopus 로고    scopus 로고
    • Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to a transverse magnetic field
    • Liu I.-C. Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to a transverse magnetic field. Int J Heat Mass Trans 47 (2004) 4427-4437
    • (2004) Int J Heat Mass Trans , vol.47 , pp. 4427-4437
    • Liu, I.-C.1
  • 17
    • 34247551807 scopus 로고    scopus 로고
    • Existence and uniqueness theorem for flow and heat transfer of a non-Newtonian fluid over a stretching sheet
    • Sahoo B., and Sharma H.G. Existence and uniqueness theorem for flow and heat transfer of a non-Newtonian fluid over a stretching sheet. J Zhej Univ Sci A 8 (2007) 766-771
    • (2007) J Zhej Univ Sci A , vol.8 , pp. 766-771
    • Sahoo, B.1    Sharma, H.G.2
  • 18
    • 29144528110 scopus 로고    scopus 로고
    • A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet
    • Cortell R. A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet. Int J Nonlinear Mech 41 (2006) 78-85
    • (2006) Int J Nonlinear Mech , vol.41 , pp. 78-85
    • Cortell, R.1
  • 19
    • 0002167114 scopus 로고
    • Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity
    • Man C.S. Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity. Arch Ration Mech Anal 119 (1992) 35-57
    • (1992) Arch Ration Mech Anal , vol.119 , pp. 35-57
    • Man, C.S.1
  • 21
    • 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
  • 22
    • 33947100497 scopus 로고    scopus 로고
    • On sheet-driven motion of power-law fluids
    • Andersson H.I., and Kumaran V. On sheet-driven motion of power-law fluids. Int J Nonlinear Mech 41 (2006) 1228-1234
    • (2006) Int J Nonlinear Mech , vol.41 , pp. 1228-1234
    • Andersson, H.I.1    Kumaran, V.2
  • 23
    • 34548317394 scopus 로고    scopus 로고
    • Boundary layer equations and stretching sheet solutions for the modified second grade fluid
    • Aksoy Y., Pakdemirli M., and Khalique C.M. Boundary layer equations and stretching sheet solutions for the modified second grade fluid. Int J Eng Sci 45 (2007) 829-841
    • (2007) Int J Eng Sci , vol.45 , pp. 829-841
    • Aksoy, Y.1    Pakdemirli, M.2    Khalique, C.M.3
  • 24
    • 33847224443 scopus 로고    scopus 로고
    • Non-similar analytic solution for MHD flow and heat transfer in a third-order fluid over a stretching sheet
    • Sajid M., Hayat T., and Asghar S. Non-similar analytic solution for MHD flow and heat transfer in a third-order fluid over a stretching sheet. Int J Heat Mass Trans 50 (2006) 1723-1736
    • (2006) Int J Heat Mass Trans , vol.50 , pp. 1723-1736
    • Sajid, M.1    Hayat, T.2    Asghar, S.3
  • 25
    • 34249045478 scopus 로고    scopus 로고
    • Non-similar series solution for boundary layer flow of a third order fluid over a stretching sheet
    • Sajid M., and Hayat T. Non-similar series solution for boundary layer flow of a third order fluid over a stretching sheet. Appl Math Comput 189 (2007) 1576-1585
    • (2007) Appl Math Comput , vol.189 , pp. 1576-1585
    • Sajid, M.1    Hayat, T.2
  • 26
    • 33947616288 scopus 로고    scopus 로고
    • Non-similar solution for the axisymmetric flow of a third-grade fluid over a radially stretching sheet
    • Sajid M., Hayat T., and Asghar S. Non-similar solution for the axisymmetric flow of a third-grade fluid over a radially stretching sheet. Acta Mech 189 (2007) 193-205
    • (2007) Acta Mech , vol.189 , pp. 193-205
    • Sajid, M.1    Hayat, T.2    Asghar, S.3
  • 27
    • 50249112720 scopus 로고    scopus 로고
    • Hiemenz flow and heat transfer of a non-Newtonian fluid
    • Sahoo B. Hiemenz flow and heat transfer of a non-Newtonian fluid. Comm Nonlinear Sci Num Sim 14 (2009) 811-826
    • (2009) Comm Nonlinear Sci Num Sim , vol.14 , pp. 811-826
    • Sahoo, B.1
  • 28
    • 0001489148 scopus 로고
    • Sur les lois du mouvement des fluides
    • Navier C.L.M.H. Sur les lois du mouvement des fluides. Mem Acad R Sci Inst Fr 6 (1827) 389-440
    • (1827) Mem Acad R Sci Inst Fr , vol.6 , pp. 389-440
    • Navier, C.L.M.H.1
  • 29
    • 0032592738 scopus 로고    scopus 로고
    • The effect of the slip boundary condition on the flow of fluids in a channel
    • Rao I.J., and Rajagopal K.R. 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    Rajagopal, K.R.2
  • 30
    • 0037073060 scopus 로고    scopus 로고
    • Flow due to a stretching boundary with partial slip-an exact solution of the Navier-Stokes equation
    • Wang C.Y. Flow due to a stretching boundary with partial slip-an exact solution of the Navier-Stokes equation. Chem Eng Sci 57 (2002) 3745-3747
    • (2002) Chem Eng Sci , vol.57 , pp. 3745-3747
    • Wang, C.Y.1
  • 31
    • 0036412278 scopus 로고    scopus 로고
    • Slip flow past a stretching surface
    • Andersson H.I. Slip flow past a stretching surface. Acta Mech 158 (2002) 121-125
    • (2002) Acta Mech , vol.158 , pp. 121-125
    • Andersson, H.I.1
  • 32
    • 34748885488 scopus 로고    scopus 로고
    • Axisymmetric flow due to a stretching sheet with partial slip
    • Ariel P.D. Axisymmetric flow due to a stretching sheet with partial slip. Comput Math Appl 54 (2007) 1169-1183
    • (2007) Comput Math Appl , vol.54 , pp. 1169-1183
    • Ariel, P.D.1
  • 33
    • 50349092405 scopus 로고    scopus 로고
    • Analysis of viscous flow due to a stretching sheet with surface slip and suction
    • Wang C.Y. Analysis of viscous flow due to a stretching sheet with surface slip and suction. Nonlinear Anal Real World Appl 10 (2009) 375-380
    • (2009) Nonlinear Anal Real World Appl , vol.10 , pp. 375-380
    • Wang, C.Y.1
  • 34
    • 33750688863 scopus 로고    scopus 로고
    • The flow of an elastico-viscous fluid past a stretching sheet with partial slip
    • Ariel P.D., Hayat T., and Asghar S. The flow of an elastico-viscous fluid past a stretching sheet with partial slip. Acta Mech 187 (2006) 29-35
    • (2006) Acta Mech , vol.187 , pp. 29-35
    • Ariel, P.D.1    Hayat, T.2    Asghar, S.3
  • 35
    • 47349110614 scopus 로고    scopus 로고
    • Slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space
    • Hayat T., Javed T., and Abbas Z. Slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space. Int J Heat Mass Trans 51 (2008) 4528-4534
    • (2008) Int J Heat Mass Trans , vol.51 , pp. 4528-4534
    • Hayat, T.1    Javed, T.2    Abbas, Z.3
  • 36
    • 0001526376 scopus 로고
    • Stress deformation relation for isotropic materials
    • Rivlin R.S., and Ericksen J.L. Stress deformation relation for isotropic materials. J Ration Mech Anal 4 (1955) 323-425
    • (1955) J Ration Mech Anal , vol.4 , pp. 323-425
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 37
    • 0001292389 scopus 로고
    • Thermodynamics and stability of fluids of third grade
    • Fosdick R.L., and Rajagopal K.R. Thermodynamics and stability of fluids of third grade. Proc R Soc Lond, Ser A 369 (1980) 351-377
    • (1980) Proc R Soc Lond, Ser A , vol.369 , pp. 351-377
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 38
    • 0026923728 scopus 로고
    • The boundary layer equations of third grade fluids
    • Pakdemirli M. The boundary layer equations of third grade fluids. Int J Nonlinear Mech 27 (1992) 785-793
    • (1992) Int J Nonlinear Mech , vol.27 , pp. 785-793
    • Pakdemirli, M.1
  • 39
    • 0026849172 scopus 로고
    • A hybrid method for computing the flow of viscoelastic fluids
    • Ariel P.D. A hybrid method for computing the flow of viscoelastic fluids. Int J Num Meth Fluids 14 (1992) 757-774
    • (1992) Int J Num Meth Fluids , vol.14 , pp. 757-774
    • Ariel, P.D.1
  • 41
    • 38049150663 scopus 로고    scopus 로고
    • MHD flow and heat transfer from a continuous surface in a uniform free stream of a non-Newtonian fluid
    • Sahoo B., and Sharma H.G. MHD flow and heat transfer from a continuous surface in a uniform free stream of a non-Newtonian fluid. Appl Math Mech 28 (2007) 1467-1477
    • (2007) Appl Math Mech , vol.28 , pp. 1467-1477
    • Sahoo, B.1    Sharma, H.G.2
  • 42
    • 37249052770 scopus 로고    scopus 로고
    • Effects of partial slip on the steady Von Karman flow and heat transfer of a non-Newtonian fluid
    • Sahoo B., and Sharma H.G. Effects of partial slip on the steady Von Karman flow and heat transfer of a non-Newtonian fluid. Bull Braz Math Soc 38 (2007) 595-609
    • (2007) Bull Braz Math Soc , vol.38 , pp. 595-609
    • Sahoo, B.1    Sharma, H.G.2
  • 43
    • 59849091435 scopus 로고    scopus 로고
    • Effects of partial slip, viscous dissipation and Joule heating on Von Karman flow and heat transfer of an electrically conducting non-Newtonian fluid
    • Sahoo B. Effects of partial slip, viscous dissipation and Joule heating on Von Karman flow and heat transfer of an electrically conducting non-Newtonian fluid. Comm Nonlinear Sci Num Sim 14 (2009) 2982-2998
    • (2009) Comm Nonlinear Sci Num Sim , vol.14 , pp. 2982-2998
    • Sahoo, B.1
  • 44
    • 84968510937 scopus 로고
    • A class of methods for solving nonlinear simultaneous equations
    • Broyden C.G. A class of methods for solving nonlinear simultaneous equations. Math Comput 19 (1965) 577-593
    • (1965) Math Comput , vol.19 , pp. 577-593
    • Broyden, C.G.1
  • 45
    • 29044441570 scopus 로고    scopus 로고
    • On the discovery of the good Broyden method
    • Broyden C.G. On the discovery of the good Broyden method. Math Program Ser B 87 (2000) 209-213
    • (2000) Math Program Ser B , vol.87 , pp. 209-213
    • Broyden, C.G.1


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