메뉴 건너뛰기




Volumn 348, Issue 8, 2011, Pages 2044-2058

Improved analytical solutions to a stagnation-point flow past a porous stretching sheet with heat generation

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL RESULTS; ANALYTICAL SOLUTIONS; EUCLIDEAN NORM; GOVERNING PARAMETERS; HEAT GENERATION/ABSORPTION; HOMOTOPY ANALYSIS METHODS; INCOMPRESSIBLE VISCOUS FLUIDS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; POROUS MEDIUM; SERIES SOLUTIONS; STAGNATION-POINT FLOW; STRETCHING PARAMETERS; STRETCHING SHEET; STRETCHING SURFACE; TEMPERATURE PROFILES; WALL HEAT TRANSFER; WALL SHEAR STRESS;

EID: 80052565205     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.05.020     Document Type: Article
Times cited : (31)

References (38)
  • 1
    • 0000960029 scopus 로고
    • Die Grenzschicht an einem in den gleich formigen flussig keitsstrom eingetacuhten geraden krebzylinder
    • K. Hiemenz Die Grenzschicht an einem in den gleich formigen flussig keitsstrom eingetacuhten geraden krebzylinder Dingl. Polytech. J. 32 1911 321 324
    • (1911) Dingl. Polytech. J. , vol.32 , pp. 321-324
    • Hiemenz, K.1
  • 2
    • 77956727291 scopus 로고
    • Der einfluss grosser zahigkeit bei der strom̈ung um den zylinder und um die kugel
    • F. Homann Der einfluss grosser zahigkeit bei der strom̈ung um den zylinder und um die kugel Z. Angew. Math. Mech. (ZAMM) 1936 153 164
    • (1936) Z. Angew. Math. Mech. (ZAMM) , pp. 153-164
    • Homann, F.1
  • 4
    • 0002871388 scopus 로고
    • Hiemenz flow in hydromagnetics
    • P.D. Ariel Hiemenz flow in hydromagnetics Acta Mech. 103 1994 31 43
    • (1994) Acta Mech. , vol.103 , pp. 31-43
    • Ariel, P.D.1
  • 5
    • 0842303544 scopus 로고    scopus 로고
    • Hydromagnetic stagnation point flow with heat transfer over a permeable surface
    • H.A. Attia Hydromagnetic stagnation point flow with heat transfer over a permeable surface Arab. J. Sci. Eng. 28 2003 107 112
    • (2003) Arab. J. Sci. Eng. , vol.28 , pp. 107-112
    • Attia, H.A.1
  • 7
    • 0013212563 scopus 로고
    • Heat transfer due to stagnation point flow of a non-newtonian fluid
    • V.K. Garg Heat transfer due to stagnation point flow of a non-newtonian fluid Acta. Mech. 104 1994 159 171
    • (1994) Acta. Mech. , vol.104 , pp. 159-171
    • Garg, V.K.1
  • 8
    • 33846248814 scopus 로고    scopus 로고
    • On the effectiveness of porosity on stagnation point flow towards a stretching surface with heat generation
    • DOI 10.1016/j.commatsci.2006.05.011, PII S0927025606001649
    • H.A. Attia On the effectiveness of porosity on stagnation point flow towards a stretching surface with heat generation Comp. Mater. Sci. 38 2007 741 745 (Pubitemid 46109275)
    • (2007) Computational Materials Science , vol.38 , Issue.4 , pp. 741-745
    • Attia, H.A.1
  • 9
    • 33646099212 scopus 로고
    • Flow past a stretching plate
    • L.J. Crane Flow past a stretching plate ZAMP 21 1970 645 647
    • (1970) ZAMP , vol.21 , pp. 645-647
    • Crane, L.J.1
  • 10
    • 84984066620 scopus 로고
    • Heat transfer on a continuous stretching sheet
    • P. Carragher, and L.J. Crane Heat transfer on a continuous stretching sheet ZAMM 62 1982 564 577
    • (1982) ZAMM , vol.62 , pp. 564-577
    • Carragher, P.1    Crane, L.J.2
  • 11
    • 0021781758 scopus 로고
    • Temperature field in the flow over a stretching surface with uniform heat flux
    • B.K. Dutta, P. Roy, and A.S. Gupta Temperature field in the flow over a stretching surface with uniform heat flux Int. Comm. Heat Mass Transfer 12 1985 89 103
    • (1985) Int. Comm. Heat Mass Transfer , vol.12 , pp. 89-103
    • Dutta, B.K.1    Roy, P.2    Gupta, A.S.3
  • 12
    • 21844490658 scopus 로고
    • Stagnation point flow towards a stretching plate
    • T.C. Chiam Stagnation point flow towards a stretching plate J. Phys. Soc. Jpn. 63 1994 2443 2444
    • (1994) J. Phys. Soc. Jpn. , vol.63 , pp. 2443-2444
    • Chiam, T.C.1
  • 14
    • 0000610314 scopus 로고
    • Flow of a viscoelastic fluid over a stretching sheet
    • K.R. Rajagopal, T.Y. Na, and A.S. Gupta Flow of a viscoelastic fluid over a stretching sheet Rheol. Acta 23 1984 213 224
    • (1984) Rheol. Acta , vol.23 , pp. 213-224
    • Rajagopal, K.R.1    Na, T.Y.2    Gupta, A.S.3
  • 15
    • 0141917522 scopus 로고    scopus 로고
    • Stagnation point flow of a viscoelastic fluid towards a stretching surface
    • T.R. Mahapatra, and A.S. Gupta Stagnation point flow of a viscoelastic fluid towards a stretching surface Int. J. Non-linear Mech. 39 2004 811 820
    • (2004) Int. J. Non-linear Mech. , vol.39 , pp. 811-820
    • Mahapatra, T.R.1    Gupta, A.S.2
  • 16
    • 0345170892 scopus 로고    scopus 로고
    • Stagnation point flow of a micropolar fluid towards a stretching sheet
    • R. Nazar, N. Amin, D. Filip, and I. Pop Stagnation point flow of a micropolar fluid towards a stretching sheet Int. J. Non-linear Mech. 39 2004 1227 1235
    • (2004) Int. J. Non-linear Mech. , vol.39 , pp. 1227-1235
    • Nazar, R.1    Amin, N.2    Filip, D.3    Pop, I.4
  • 17
    • 0023287766 scopus 로고
    • Free convective heat transfer over a nonisothermal body of arbitrary shape embedded in a fluid-saturated porous medium
    • A. Nakayama, and H. Koyama Free convection heat transfer over a non-isothermal body of arbitrary shape embedded in a fluid saturated porous media ASME J. Heat Transfer 109 1987 125 130 (Pubitemid 17533592)
    • (1987) Journal of Heat Transfer , vol.109 , Issue.1 , pp. 125-130
    • Nakayama, A.1    Koyama, H.2
  • 18
    • 0030427980 scopus 로고    scopus 로고
    • Effects of thermal dispersion and stratification on combined convection on a vertical surface embedded in a porous medium
    • R.S.R. Gorla, A.Y. Bakier, and L. Byrd Effects of thermal dispersion and stratification on combined convection on a vertical surface embedded in a porous medium Transp. Porous Media 25 1996 275 282
    • (1996) Transp. Porous Media , vol.25 , pp. 275-282
    • Gorla, R.S.R.1    Bakier, A.Y.2    Byrd, L.3
  • 19
    • 0032183565 scopus 로고    scopus 로고
    • Effects of thermal dispersion and stratification on non-Darcy mixed convection from a vertical plate in a porous medium
    • I.A. Hassanien, A.Y. Bakier, and R.S.R. Gorla Effect of thermal dispersion and stratification on non-darcy mixed convection from a vertical plate in a porous medium Heat Mass Transfer 34 1998 209 212 (Pubitemid 128439477)
    • (1998) Heat and Mass Transfer/Waerme- und Stoffuebertragung , vol.34 , Issue.2 , pp. 209-212
    • Hassanien, I.A.1    Bakier, A.Y.2    Gorla, R.S.R.3
  • 20
    • 14644442354 scopus 로고    scopus 로고
    • Effects of non-Darcian on forced convection heat transfer over a flat plate in a porous medium-with temperature dependent viscosity
    • DOI 10.1016/j.icheatmasstransfer.2004.04.035, PII S0735193304001940
    • M.A. Seddeek Effects of non-darcian on forced convection heat transfer over a flat plate in a porous medium with temperature dependent viscosity Int. Commun. Heat Mass Transfer 32 2005 258 265 (Pubitemid 40318175)
    • (2005) International Communications in Heat and Mass Transfer , vol.32 , Issue.1-2 , pp. 258-265
    • Seddeek, M.A.1
  • 21
    • 33845765764 scopus 로고    scopus 로고
    • Stagnation point flow towards a stretching surface through a porous medium with heat generation
    • H.A. Attia Stagnation point flow towards a stretching surface through a porous medium with heat generation Turkish J. Eng. Env. Sci. 30 2006 299 306 (Pubitemid 46002325)
    • (2006) Turkish Journal of Engineering and Environmental Sciences , vol.30 , Issue.5 , pp. 299-306
    • Attia, H.A.1
  • 23
    • 33745645429 scopus 로고    scopus 로고
    • Series solutions of unsteady boundary layer flow of a micropolar fluid near the forward stagnation point of a plane surface
    • DOI 10.1007/s00707-005-0302-7
    • H. Xu, S.J. Liao, and I. Pop Series solutions of unsteady boundary layer flow of a micropolar fluid near the forward stagnation point of a plane surface Acta Mech. 184 2006 87 101 (Pubitemid 43967410)
    • (2006) Acta Mechanica , vol.184 , Issue.1-4 , pp. 87-101
    • Xu, H.1    Liao, S.J.2    Pop, I.3
  • 24
    • 34347219047 scopus 로고    scopus 로고
    • Analytic solution for rotating flow and heat transfer analysis of a third-grade fluid
    • DOI 10.1007/s00707-007-0451-y
    • T. Hayat, T. Javed, and M. Sajid Analytic solution for rotating flow and heat transfer analysis of a third-grade fluid Acta Mech. 191 34 2007 219 229 (Pubitemid 46993923)
    • (2007) Acta Mechanica , vol.191 , Issue.3-4 , pp. 219-229
    • Hayat, T.1    Javed, T.2    Sajid, M.3
  • 25
    • 49049102090 scopus 로고    scopus 로고
    • Homotopy analysis method for generalized BenjaminBonaMahony equation
    • S. Abbasbandy Homotopy analysis method for generalized BenjaminBonaMahony equation Z. Angew. Math. Phys. 59 1 2008 51 62
    • (2008) Z. Angew. Math. Phys. , vol.59 , Issue.1 , pp. 51-62
    • Abbasbandy, S.1
  • 26
    • 35448933724 scopus 로고    scopus 로고
    • Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
    • DOI 10.1007/s11071-006-9193-y
    • S. Abbasbandy, and F.S. Zakaria Soliton solutions for the fifth-order KDV equation with the homotopy analysis method Nonlinear Dynamics 51 12 2008 83 87 (Pubitemid 47632348)
    • (2008) Nonlinear Dynamics , vol.51 , Issue.1-2 , pp. 83-87
    • Abbasbandy, S.1    Zakaria, F.S.2
  • 27
    • 34548067424 scopus 로고    scopus 로고
    • Dual solutions of boundary layer flow over an upstream moving plate
    • DOI 10.1016/j.cnsns.2006.04.008, PII S1007570406000906
    • H. Xu, and S.J. Liao Dual solutions of boundary layer flow over an upstream moving plate Commun. Nonlinear Sci. Numer. Simulat. 13 2 2008 350 358 (Pubitemid 47289297)
    • (2008) Communications in Nonlinear Science and Numerical Simulation , vol.13 , Issue.2 , pp. 350-358
    • Xu, H.1    Liao, S.-J.2
  • 28
    • 56049123632 scopus 로고    scopus 로고
    • A general approach to get series solution of non-similarity boundary-layer flows
    • S.J. Liao A general approach to get series solution of non-similarity boundary-layer flows Commun. Nonlinear Sci. Numer. Simulat. 14 5 2009 2144 2159
    • (2009) Commun. Nonlinear Sci. Numer. Simulat. , vol.14 , Issue.5 , pp. 2144-2159
    • Liao, S.J.1
  • 29
    • 79952993347 scopus 로고    scopus 로고
    • Convection-radiation from a continuously moving fin of variable thermal conductivity
    • A. Aziz, and F. Khani Convection-radiation from a continuously moving fin of variable thermal conductivity J. Franklin Inst. 348 4 2011 640 651
    • (2011) J. Franklin Inst. , vol.348 , Issue.4 , pp. 640-651
    • Aziz, A.1    Khani, F.2
  • 30
    • 77955467279 scopus 로고    scopus 로고
    • Variational iteration method for solving fokker-planck equation
    • J. Biazar, P. Gholamin, and K. Hosseini Variational iteration method for solving fokker-planck equation J. Franklin Inst. 347 7 2010 1137 1147
    • (2010) J. Franklin Inst. , vol.347 , Issue.7 , pp. 1137-1147
    • Biazar, J.1    Gholamin, P.2    Hosseini, K.3
  • 31
    • 75149147525 scopus 로고    scopus 로고
    • The solution of the BagleyTorvik equation with the generalized taylor collocation method
    • Y. Cenesiz, Y. Keskin, and A. Kurnaz The solution of the BagleyTorvik equation with the generalized taylor collocation method J. Franklin Inst. 347 2 2010 452 466
    • (2010) J. Franklin Inst. , vol.347 , Issue.2 , pp. 452-466
    • Cenesiz, Y.1    Keskin, Y.2    Kurnaz, A.3
  • 32
    • 77955465919 scopus 로고    scopus 로고
    • Application of the g ′ / g-expansion method for nonlinear diffusion equations with nonlinear source
    • G. Ebadi, and A. Biswas Application of the g ′ / g-expansion method for nonlinear diffusion equations with nonlinear source J. Franklin Inst. 347 7 2010 1391 1398
    • (2010) J. Franklin Inst. , vol.347 , Issue.7 , pp. 1391-1398
    • Ebadi, G.1    Biswas, A.2
  • 33
    • 70349775507 scopus 로고    scopus 로고
    • An efficient method for solving EmdenFowler equations
    • X. Shang, P. Wu, and X. Shao An efficient method for solving EmdenFowler equations J. Franklin Inst. 346 9 2009 889 897
    • (2009) J. Franklin Inst. , vol.346 , Issue.9 , pp. 889-897
    • Shang, X.1    Wu, P.2    Shao, X.3
  • 35
    • 0141682251 scopus 로고    scopus 로고
    • The role of porous media in modeling flow and heat transfer in biological tissues
    • DOI 10.1016/S0017-9310(03)00301-6
    • A.R.A. Khaled, and K. Vafai The role of porous media in modeling flow and heat transfer in biological tissues Int. J. Heat Mass Transfer 46 2003 4989 5003 (Pubitemid 37212286)
    • (2003) International Journal of Heat and Mass Transfer , vol.46 , Issue.26 , pp. 4989-5003
    • Khaled, A.-R.A.1    Vafai, K.2
  • 37
    • 55549136027 scopus 로고    scopus 로고
    • Notes on the homotopy analysis method: Some definitions and theorems
    • S.J. Liao Notes on the homotopy analysis method: some definitions and theorems Commun. Nonlinear Sci. Numer. Simulat. 14 2009 983 997
    • (2009) Commun. Nonlinear Sci. Numer. Simulat. , vol.14 , pp. 983-997
    • Liao, S.J.1
  • 38
    • 78049374319 scopus 로고    scopus 로고
    • Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation
    • M.M. Rashidi, S.A. Mohimanian Pour, and S. Abbasbandy Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation Commun. Nonlinear Sci. Numer. Simulat. 16 2011 1874 1889
    • (2011) Commun. Nonlinear Sci. Numer. Simulat. , vol.16 , pp. 1874-1889
    • Rashidi, M.M.1    Mohimanian Pour, S.A.2    Abbasbandy, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.