메뉴 건너뛰기




Volumn 63, Issue 5, 2010, Pages 548-563

Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder

Author keywords

Analytical treatment; Boundary layer; Heat transfer; Homotopy analysis method (HAM); MHD flow; Stretching cylinder

Indexed keywords

ANALYTICAL TREATMENT; ENERGY EQUATION; HOLLOW CYLINDERS; HOMOTOPY ANALYSIS METHODS; MAGNETIC PARAMETERS; MAGNETOHYDRODYNAMIC FLOWS; MAGNETOHYDRODYNAMICS FLOWS; MHD FLOW; SIMILARITY TRANSFORMATION; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS; TEMPERATURE FIELD;

EID: 77953558592     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2087     Document Type: Article
Times cited : (31)

References (38)
  • 1
    • 0015958350 scopus 로고
    • Integration of the magneto-hydrodynamic boundary layer equations by Meksyn's method
    • Liron N, Wilhelm HE. Integration of the magneto-hydrodynamic boundary layer equations by Meksyn's method. Journal of Applied Mathematics and Mechanics (ZAMM) 1974; 54:27-37.
    • (1974) Journal of Applied Mathematics and Mechanics (ZAMM) , vol.54 , pp. 27-37
    • Liron, N.1    Wilhelm, H.E.2
  • 2
    • 0001563066 scopus 로고
    • Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface
    • Pavlov KB. Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magnitnaya Gidrodinamika 1974; 4:146-147.
    • (1974) Magnitnaya Gidrodinamika , vol.4 , pp. 146-147
    • Pavlov, K.B.1
  • 4
    • 0023271336 scopus 로고
    • MHD asymmetric flow past a semi-infinite moving plate
    • Takhar HS, Raptis AA, Perdikis CP. MHD asymmetric flow past a semi-infinite moving plate. Acta Mechanica 1987; 65:287-290.
    • (1987) Acta Mechanica , vol.65 , pp. 287-290
    • Takhar, H.S.1    Raptis, A.A.2    Perdikis, C.P.3
  • 5
    • 38249001818 scopus 로고
    • Magnetohydrodynamic boundary layer flow due to a continuously moving plate
    • Chiam TC. Magnetohydrodynamic boundary layer flow due to a continuously moving plate. Computers and Mathematics with Applications 1993; 26:1-7.
    • (1993) Computers and Mathematics with Applications , vol.26 , pp. 1-7
    • Chiam, T.C.1
  • 6
    • 53149108680 scopus 로고
    • MHD stability of boundary layer flow over a moving flat plate
    • Watanabe T, Pop I, Gota F. MHD stability of boundary layer flow over a moving flat plate. Technische Mechanik 1995; 15:325-332.
    • (1995) Technische Mechanik , vol.15 , pp. 325-332
    • Watanabe, T.1    Pop, I.2    Gota, F.3
  • 7
    • 0029250454 scopus 로고
    • Hydromagnetic flow over a surface stretching with a power-law velocity
    • Chiam TC. Hydromagnetic flow over a surface stretching with a power-law velocity. International Journal of Engineering Science 1995; 33:429-435.
    • (1995) International Journal of Engineering Science , vol.33 , pp. 429-435
    • Chiam, T.C.1
  • 8
    • 0029746524 scopus 로고    scopus 로고
    • Magnetohydrodynamic flow past a semi-infinite moving plate
    • Lawrence PS, Rao BN. Magnetohydrodynamic flow past a semi-infinite moving plate. Acta Mechanica 1996; 117:159-164.
    • (1996) Acta Mechanica , vol.117 , pp. 159-164
    • Lawrence, P.S.1    Rao, B.N.2
  • 9
    • 0030645848 scopus 로고    scopus 로고
    • Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet
    • Chiam TC. Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet. Acta Mechanica 1997; 122:169-179.
    • (1997) Acta Mechanica , vol.122 , pp. 169-179
    • Chiam, T.C.1
  • 10
    • 0031221950 scopus 로고    scopus 로고
    • Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream
    • Vajravelu K, Hadjinicolaou A. Convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream. International Journal of Engineering Science 1997; 35:1237-1244.
    • (1997) International Journal of Engineering Science , vol.35 , pp. 1237-1244
    • Vajravelu, K.1    Hadjinicolaou, A.2
  • 11
    • 0035675123 scopus 로고    scopus 로고
    • Magnetohydrodynamic stagnation-point flow towards a stretching sheet
    • Mahapatra TR, Gupta AS. Magnetohydrodynamic stagnation-point flow towards a stretching sheet. Acta Mechanica 2001; 152:191-196.
    • (2001) Acta Mechanica , vol.152 , pp. 191-196
    • Mahapatra, T.R.1    Gupta, A.S.2
  • 12
    • 85044626033 scopus 로고    scopus 로고
    • Magnetohydrodynamic stagnation-point flow towards a stretching vertical sheet
    • Ishak A, Nazar R, Pop I. Magnetohydrodynamic stagnation-point flow towards a stretching vertical sheet. Magnetohydrodynamics 2006; 42:17-30.
    • (2006) Magnetohydrodynamics , vol.42 , pp. 17-30
    • Ishak, A.1    Nazar, R.2    Pop, I.3
  • 13
    • 0033531391 scopus 로고    scopus 로고
    • Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface, Journal of Physics D
    • Magyari E, Keller B. Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface. Journal of Physics D, Applied Physics 1999; 32:577-585.
    • (1999) Applied Physics , vol.32 , pp. 577-585
    • Magyari, E.1    Keller, B.2
  • 14
    • 36849044746 scopus 로고    scopus 로고
    • Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity: A numerical reinvestigation
    • Pantokratoras A. Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity: A numerical reinvestigation. International Journal of Heat and Mass Transfer 2008; 51(1-2):104-110.
    • (2008) International Journal of Heat and Mass Transfer , vol.51 , Issue.1-2 , pp. 104-110
    • Pantokratoras, A.1
  • 15
    • 56349130552 scopus 로고    scopus 로고
    • MHD-conjugate heat transfer analysis for a vertical flat plate in presence of viscous dissipation and heat generation
    • Mamun AA, Chowdhury ZR, Azim MA, Molla MM. MHD-conjugate heat transfer analysis for a vertical flat plate in presence of viscous dissipation and heat generation. International Communications in Heat and Mass Transfer 2008; 35(10):1275-1280.
    • (2008) International Communications in Heat and Mass Transfer , vol.35 , Issue.10 , pp. 1275-1280
    • Mamun, A.A.1    Chowdhury, Z.R.2    Azim, M.A.3    Molla, M.M.4
  • 16
    • 0010001845 scopus 로고
    • Fluid flow due to a stretching cylinder
    • Wang CY. Fluid flow due to a stretching cylinder. Physics of Fluids 1988; 31:466-468.
    • (1988) Physics of Fluids , vol.31 , pp. 466-468
    • Wang, C.Y.1
  • 17
    • 0025548782 scopus 로고
    • A review of the decomposition method and some recent results for nonlinear equation
    • Adomian G. A review of the decomposition method and some recent results for nonlinear equation. Mathematical and Computer Modelling 1992; 13(7):17.
    • (1992) Mathematical and Computer Modelling , vol.13 , Issue.7 , pp. 17
    • Adomian, G.1
  • 19
    • 73849150482 scopus 로고    scopus 로고
    • Explicit and analytical traveling wave solutions of Whitham-Broer-Kaup shallow water equations by homotopy perturbation method
    • Rashidi MM, Diranvand S. Explicit and analytical traveling wave solutions of Whitham-Broer-Kaup shallow water equations by homotopy perturbation method. International Journal of Nonlinear Dynamics in Engineering and Sciences 2009; 1(1):99-107.
    • (2009) International Journal of Nonlinear Dynamics in Engineering and Sciences , vol.1 , Issue.1 , pp. 99-107
    • Rashidi, M.M.1    Diranvand, S.2
  • 22
    • 0012835662 scopus 로고
    • The proposed homotopy analysis technique for the solution of nonlinear problems
    • Liao SJ. The proposed homotopy analysis technique for the solution of nonlinear problems. Ph.D. Thesis, Shanghai Jiao Tong University, 1992.
    • (1992) Ph.D. Thesis, Shanghai Jiao Tong University
    • Liao, S.J.1
  • 23
    • 0000615571 scopus 로고
    • An approximate solution technique not depending on small parameters: a special example
    • Liao SJ. An approximate solution technique not depending on small parameters: a special example. International Journal of Non-Linear Mechanics 1995; 303:371-380.
    • (1995) International Journal of Non-Linear Mechanics , vol.303 , pp. 371-380
    • Liao, S.J.1
  • 24
    • 0031223353 scopus 로고    scopus 로고
    • Boundary element method for general nonlinear differential operators
    • Liao SJ. Boundary element method for general nonlinear differential operators. Engineering Analysis with Boundary Elements 1997; 202:91-99.
    • (1997) Engineering Analysis with Boundary Elements , vol.202 , pp. 91-99
    • Liao, S.J.1
  • 25
    • 0000494305 scopus 로고    scopus 로고
    • An explicit, totally analytic approximate solution for Blasius' viscous flow problems
    • Liao SJ. An explicit, totally analytic approximate solution for Blasius' viscous flow problems. International Journal of Non-Linear Mechanics 1999; 34:759-778.
    • (1999) International Journal of Non-Linear Mechanics , vol.34 , pp. 759-778
    • Liao, S.J.1
  • 26
    • 0042354097 scopus 로고    scopus 로고
    • On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
    • Liao SJ. On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. Journal of Fluid Mechanics 2003; 488:189-212.
    • (2003) Journal of Fluid Mechanics , vol.488 , pp. 189-212
    • Liao, S.J.1
  • 27
    • 0141961626 scopus 로고    scopus 로고
    • On the homotopy analysis method for nonlinear problems
    • Liao SJ. On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation 2004; 147:499-513.
    • (2004) Applied Mathematics and Computation , vol.147 , pp. 499-513
    • Liao, S.J.1
  • 28
    • 17944369480 scopus 로고    scopus 로고
    • A new branch of solutions of boundary-layer flows over an impermeable stretched plate
    • Liao SJ. A new branch of solutions of boundary-layer flows over an impermeable stretched plate. International Journal of Heat and Mass Transfer 2005; 48(12):2529-2539.
    • (2005) International Journal of Heat and Mass Transfer , vol.48 , Issue.12 , pp. 2529-2539
    • Liao, S.J.1
  • 30
    • 2442526691 scopus 로고    scopus 로고
    • Homotopy analysis MHD flows of an oldroyd 8-constant fluid
    • Hayat T, Khan M, Asghar S. Homotopy analysis MHD flows of an oldroyd 8-constant fluid. Acta Mechanica 2004; 168:213-232.
    • (2004) Acta Mechanica , vol.168 , pp. 213-232
    • Hayat, T.1    Khan, M.2    Asghar, S.3
  • 31
    • 28144444967 scopus 로고    scopus 로고
    • Homotopy solutions for generalized second-grade fluid past porous plate
    • Hayat T, Khan M. Homotopy solutions for generalized second-grade fluid past porous plate. Nonlinear Dynamics 2005; 42:395-405.
    • (2005) Nonlinear Dynamics , vol.42 , pp. 395-405
    • Hayat, T.1    Khan, M.2
  • 32
    • 34547422837 scopus 로고    scopus 로고
    • Ebrahimpour Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution
    • Fakhari A, Domairry G. Ebrahimpour Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution. Physics Letters A 2007; 368:64-68.
    • (2007) Physics Letters A , vol.368 , pp. 64-68
    • Fakhari, A.1    Domairry, G.2
  • 33
    • 37049028402 scopus 로고    scopus 로고
    • Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation
    • Domairry G, Nadim N. Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation. International Communications in Heat and Mass Transfer 2008; 35(1):93-102.
    • (2008) International Communications in Heat and Mass Transfer , vol.35 , Issue.1 , pp. 93-102
    • Domairry, G.1    Nadim, N.2
  • 34
    • 55549105457 scopus 로고    scopus 로고
    • Solution of the laminar viscous flow in a semi-porous channel in the presence of a uniform magnetic field by using the homotopy analysis method
    • Rashidi MM, Domairry G, Dinarvand S. Solution of the laminar viscous flow in a semi-porous channel in the presence of a uniform magnetic field by using the homotopy analysis method. Communications in Nonlinear Science and Numerical Simulation 2007; 14:708-717.
    • (2007) Communications in Nonlinear Science and Numerical Simulation , vol.14 , pp. 708-717
    • Rashidi, M.M.1    Domairry, G.2    Dinarvand, S.3
  • 35
    • 33845907123 scopus 로고    scopus 로고
    • The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
    • Abbasbandy S. The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation. Physics Letters A 2007; 361(6):478-483.
    • (2007) Physics Letters A , vol.361 , Issue.6 , pp. 478-483
    • Abbasbandy, S.1
  • 36
    • 33750339270 scopus 로고    scopus 로고
    • The application of homotopy analysis method to nonlinear equations arising in heat transfer
    • Abbasbandy S. The application of homotopy analysis method to nonlinear equations arising in heat transfer. Physics Letters A 2006; 360(1):109-113.
    • (2006) Physics Letters A , vol.360 , Issue.1 , pp. 109-113
    • Abbasbandy, S.1
  • 37
    • 37549038299 scopus 로고    scopus 로고
    • Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method
    • Abbasbandy S. Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method. Chaos, Solitons and Fractals 2008; 36(3):581-591.
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.3 , pp. 581-591
    • Abbasbandy, S.1
  • 38
    • 0038685125 scopus 로고    scopus 로고
    • Magnetic field effect on a moving vertical cylinder with constant heat flux
    • Ganesan P, Loganathan P. Magnetic field effect on a moving vertical cylinder with constant heat flux. Heat and Mass Transfer 2003; 39:381-386.
    • (2003) Heat and Mass Transfer , vol.39 , pp. 381-386
    • Ganesan, P.1    Loganathan, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.