메뉴 건너뛰기




Volumn 10, Issue , 2011, Pages 3741-3749

A new solution for natural convection about a vertical cone embedded in porous media prescribed wall temperature using power series - Padé

Author keywords

Cone; Pad ; Porous media; Power series; Wall temperature

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY VALUE PROBLEMS; CONES; DIFFERENTIAL EQUATIONS; NATURAL CONVECTION; NONLINEAR EQUATIONS; NUMERICAL METHODS; POROUS MATERIALS;

EID: 80052921832     PISSN: 18777058     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/j.proeng.2011.04.612     Document Type: Conference Paper
Times cited : (2)

References (26)
  • 1
    • 74449092463 scopus 로고    scopus 로고
    • Application of homotopy analysis method for natural convection of darcian fluid about a vertical full cone embedded in porous media prescribed surface heat flux
    • 1699
    • Sohouli AR, Famouri M, Kimiaeifar A, Domairry G., Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed surface heat flux. Commun Nonlinear Sci Numer Simulat. 2010;15:1691 1699.
    • (2010) Commun Nonlinear Sci Numer Simulat. , vol.15 , pp. 1691
    • Sohouli, A.R.1    Famouri, M.2    Kimiaeifar, A.3    Domairry, G.4
  • 2
    • 56349136744 scopus 로고    scopus 로고
    • Analytical solution of natural convection of darcian fluid about a vertical full cone embedded in porous media prescribed wall temperature by means of HAM
    • Sohouli A.R., Domairry D., Famouri M., Mohsenzadeh A;. Analytical solution of natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed wall temperature by means of HAM. International Communications in Heat and Mass Transfer 2008;35: 1380-1384.
    • (2008) International Communications in Heat and Mass Transfer , vol.35 , pp. 1380-1384
    • Sohouli, A.R.1    Domairry, D.2    Famouri, M.3    Mohsenzadeh, A.4
  • 4
    • 49349139478 scopus 로고
    • On buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces
    • Cheng P, Chang ID., On buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces. International journal Heat Mass Transfer 1976;19:1267-1272.
    • (1976) International Journal Heat Mass Transfer , vol.19 , pp. 1267-1272
    • Cheng, P.1    Chang, I.D.2
  • 5
    • 0018062998 scopus 로고
    • Free convection boundary layers in a saturated porous medium with lateral mass flux
    • Merkin J. H., Free convection boundary layers in a saturated porous medium with lateral mass flux. International Journal Heat Mass Transfer 1978;2:1499-1504.
    • (1978) International Journal Heat Mass Transfer , vol.2 , pp. 1499-1504
    • Merkin, J.H.1
  • 7
    • 0019634433 scopus 로고
    • Natural convective boundary layer on two-dimensional and axisymmetric surfaces in high-Pr fluids or in fluid saturated porous media
    • Nilson RH., Natural convective boundary layer on two-dimensional and axisymmetric surfaces in high-Pr fluids or in fluid saturated porous media. ASMEJ. Heat Transfer. 1981; 103: (1981) 803-807.
    • (1981) ASMEJ. Heat Transfer , vol.103 , Issue.1981 , pp. 803-807
    • Nilson, R.H.1
  • 9
    • 0028035561 scopus 로고
    • Naturnal convection of a darcian fluid about a wavy cone
    • Pop I, Na TY., Naturnal convection of a Darcian fluid about a wavy cone. International Communications Heat Mass Transfer. 1994; 21: (1994) 891-899.
    • (1994) International Communications Heat Mass Transfer , vol.21 , Issue.1994 , pp. 891-899
    • Pop, I.1    Na, T.Y.2
  • 10
    • 0022754093 scopus 로고
    • An integral solution for free convection of a darcian fluid about a cone with curvature effects
    • Pop I, Cheng P, An integral solution for free convection of a Darcian fluid about a cone with curvature effects. International Communications Heat Mass Transfer 1986;13:433-438.
    • (1986) International Communications Heat Mass Transfer , vol.13 , pp. 433-438
    • Pop, I.1    Cheng, P.2
  • 11
    • 0034190657 scopus 로고    scopus 로고
    • An integral approach for heat and mass transfer by natural convection from truncated cones in porous media with variable wall temperature and concentration
    • Cheng CY., An integral approach for heat and mass transfer by natural convection from truncated cones in porous media with variable wall temperature and concentration. International Communications Heat Mass Transfer 2000; 27:537-548.
    • (2000) International Communications Heat Mass Transfer , vol.27 , pp. 537-548
    • Cheng, C.Y.1
  • 12
    • 0031334891 scopus 로고    scopus 로고
    • The effect of uniform lateral mass flux on free convection about a vertical cone embedded in a saturated porous medium
    • Yih KA., The effect of uniform lateral mass flux on free convection about a vertical cone embedded in a saturated porous medium. International Communications Heat Mass Transfer 1997; 24:1195-1205.
    • (1997) International Communications Heat Mass Transfer , vol.24 , pp. 1195-1205
    • Yih, K.A.1
  • 13
    • 0029267703 scopus 로고
    • Natural convection over a frustum of a wavy cone in a porous medium
    • Pop I, Na TY., Natural convection over a frustum of a wavy cone in a porous medium. Mech. Res. Comm. 1995;22:181-190.
    • (1995) Mech. Res. Comm. , vol.22 , pp. 181-190
    • Pop, I.1    Na, T.Y.2
  • 16
    • 0032257651 scopus 로고    scopus 로고
    • Computer methods for ordinary differential equations and differential-algebraic equations
    • Philadelphia
    • Ascher UM., Petzold LR., Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. Society for Industrial and Applied Mathematics, Philadelphia, 1998.
    • (1998) Society for Industrial and Applied Mathematics
    • Ascher, U.M.1    Petzold, L.R.2
  • 17
    • 0037431450 scopus 로고    scopus 로고
    • Arbitrary order numerical method for solving differential-algebraic equation by padé series
    • Celik E, Bayram M., Arbitrary order numerical method for solving differential-algebraic equation by Padé series. Applied Mathematics and Computation 2003;137: 57-65.
    • (2003) Applied Mathematics and Computation , vol.137 , pp. 57-65
    • Celik, E.1    Bayram, M.2
  • 18
    • 10044230193 scopus 로고    scopus 로고
    • The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs)
    • Celik E, Bayram M., The numerical solution of physical problems modeled as a systems of differential-algebraic equations (DAEs). Journal of the Franklin Institute 2005;342:1-6.
    • (2005) Journal of the Franklin Institute , vol.342 , pp. 1-6
    • Celik, E.1    Bayram, M.2
  • 19
    • 33644601451 scopus 로고    scopus 로고
    • Numerical solution of differential-algebraic equations with index-2
    • Guzel N, Bayram M., Numerical solution of differential-algebraic equations with index-2. Applied Mathematics and Computation. 2006;174:1279-1289.
    • (2006) Applied Mathematics and Computation , vol.174 , pp. 1279-1289
    • Guzel, N.1    Bayram, M.2
  • 21
    • 0020143282 scopus 로고
    • Solving ordinary differential equations using taylor series
    • Corliss G, Chang YF., Solving ordinary differential equations using Taylor series. ACM Trans. Math. 1982;8:114-144.
    • (1982) ACM Trans. Math. , vol.8 , pp. 114-144
    • Corliss, G.1    Chang, Y.F.2
  • 22
    • 0003271257 scopus 로고    scopus 로고
    • Arbitrary order and A-stable numerical method for solving algebraic ordinary differential equation by power series
    • Vouliagmeni, Athens, Greece, July 9-16
    • Hirayama H., Arbitrary order and A-stable numerical method for solving algebraic ordinary differential equation by power series, in: 2nd International Conference on Mathematics and Computers in Physics. 2000; Vouliagmeni, Athens, Greece, July 9-16.
    • (2000) 2nd International Conference on Mathematics and Computers in Physics
    • Hirayama, H.1
  • 23
    • 0041736707 scopus 로고    scopus 로고
    • The successive approximation method and padé approximants for solutions the non-linear boundary value problem
    • Simsek H, Celik E., The successive approximation method and Padé approximants for solutions the non-linear boundary value problem. Applied Mathematics and Computation 2003;146:681-690.
    • (2003) Applied Mathematics and Computation , vol.146 , pp. 681-690
    • Simsek, H.1    Celik, E.2
  • 24
    • 0002811385 scopus 로고    scopus 로고
    • Analytical approximations and pade approximations for volterras population model
    • Wazwaz AM., Analytical approximations and Pade approximations for Volterras population model. App. Math. Comput. 1999;100:13-25.
    • (1999) App. Math. Comput. , vol.100 , pp. 13-25
    • Wazwaz, A.M.1
  • 25
    • 78549289486 scopus 로고    scopus 로고
    • A new analytical study of MHD stagnation-point flow in porous media with heat transfer
    • Rashidi MM, Erfani E., A new analytical study of MHD stagnation-point flow in porous media with heat transfer. Computers & Fluids 2011; 40:172-178.
    • (2011) Computers & Fluids , vol.40 , pp. 172-178
    • Rashidi, M.M.1    Erfani, E.2
  • 26
    • 80052916692 scopus 로고    scopus 로고
    • A MAPLE package of new ADM-padé approximate solution for nonlinear problems
    • DOI: 10.1016/j.amc.12.085
    • Chu H, Zhao Y, Liu Y., A MAPLE package of new ADM-Padé approximate solution for nonlinear problems. Applied Mathematics and Computation 2010; DOI: 10.1016/j.amc.12.085.
    • (2010) Applied Mathematics and Computation
    • Chu, H.1    Zhao, Y.2    Liu, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.