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Volumn 12, Issue 5, 2009, Pages 451-459

Application of the homotopy perturbation method to micropolar flow in a porous channel

Author keywords

[No Author keywords available]

Indexed keywords

HOMOTOPY PERTURBATION METHOD; MICROPOLAR; MICROPOLAR FLUIDS; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; POROUS CHANNEL; SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS; TWO-DIMENSIONAL FLOW;

EID: 67649198816     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/JPorMedia.v12.i5.50     Document Type: Article
Times cited : (11)

References (35)
  • 1
    • 33747196070 scopus 로고    scopus 로고
    • MHD Boundary Layer Flow of an Upper-Convected Maxwell Fluid in a Porous Channel
    • Abbas, Z., Sajid, M., and Hayat, T., MHD Boundary Layer Flow of an Upper-Convected Maxwell Fluid in a Porous Channel, Theor. Comput. Fluid Dyn, vol. 20, pp. 229-238, 2006.
    • (2006) Theor. Comput. Fluid Dyn , vol.20 , pp. 229-238
    • Abbas, Z.1    Sajid, M.2    Hayat, T.3
  • 2
    • 31144479330 scopus 로고    scopus 로고
    • Homotopy Perturbation Method for Quadratic Riccati Differential Equation and Comparison with Adomian's Decomposition Method
    • Abbasbandy, S., Homotopy Perturbation Method for Quadratic Riccati Differential Equation and Comparison with Adomian's Decomposition Method, Appl. Math. Comput., vol. 172, pp. 485-190, 2006.
    • (2006) Appl. Math. Comput , vol.172 , pp. 485-190
    • Abbasbandy, S.1
  • 3
    • 19144365030 scopus 로고    scopus 로고
    • Variational Iteration Method for Solving Burger's and Coupled Burger's Equations
    • Abdou, M. A., and Soliman, A. A., Variational Iteration Method for Solving Burger's and Coupled Burger's Equations, J. Comput. Appl. Math, vol. 181, pp. 245-251, 2005.
    • (2005) J. Comput. Appl. Math , vol.181 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 4
    • 22944466379 scopus 로고    scopus 로고
    • Approximate Analytical Solution of Fourth Order Boundary Value Problems
    • Al-Hayani, W., and Casasús, L., Approximate Analytical Solution of Fourth Order Boundary Value Problems, Numer. Algorithms, vol. 40, pp. 67-78, 2005.
    • (2005) Numer. Algorithms , vol.40 , pp. 67-78
    • Al-Hayani, W.1    Casasús, L.2
  • 5
    • 33748924289 scopus 로고    scopus 로고
    • Homotopy Perturbation Method and Axisymmetric Flow over a Stretching Sheet
    • Ariel, P. D., Hayat, T., and Asghar, S., Homotopy Perturbation Method and Axisymmetric Flow over a Stretching Sheet, Int. J. Non-linear Sci. Numer. Simul., vol. 7, pp. 399-406, 2006.
    • (2006) Int. J. Non-linear Sci. Numer. Simul , vol.7 , pp. 399-406
    • Ariel, P.D.1    Hayat, T.2    Asghar, S.3
  • 6
    • 36849122625 scopus 로고
    • Laminar Flow in a Channel with Porous Walls
    • Berman, A. S., Laminar Flow in a Channel with Porous Walls, J. Appl. Phys, vol. 24, pp. 1232-1235, 1953.
    • (1953) J. Appl. Phys , vol.24 , pp. 1232-1235
    • Berman, A.S.1
  • 7
    • 67649213278 scopus 로고    scopus 로고
    • Solutions for the Flow of a Micropolar Fluid in a Porous Channel
    • The Institution of Engineers, Australia, pp
    • Desseaux, A., and Kelson, N. A., Solutions for the Flow of a Micropolar Fluid in a Porous Channel, 4th Biennial Engineering Mathematics and Applications Conference, The Institution of Engineers, Australia, pp. 115-118, 2000.
    • (2000) 4th Biennial Engineering Mathematics and Applications Conference , pp. 115-118
    • Desseaux, A.1    Kelson, N.A.2
  • 8
    • 34748873765 scopus 로고    scopus 로고
    • The Three-Dimensional Flow Past a Stretching Sheet and the Homotopy Perturbation Method
    • Donald Ariel, P., The Three-Dimensional Flow Past a Stretching Sheet and the Homotopy Perturbation Method, Comput. Math. Appl, vol. 54, pp. 920-925, 2007.
    • (2007) Comput. Math. Appl , vol.54 , pp. 920-925
    • Donald Ariel, P.1
  • 9
    • 33646893481 scopus 로고    scopus 로고
    • The Application of He's Homotopy Perturbation Method to Nonlinear Equations Arising in Heat Transfer
    • Ganji, D. D., The Application of He's Homotopy Perturbation Method to Nonlinear Equations Arising in Heat Transfer, Phys. Lett. A, vol. 355, pp. 337-341, 2006.
    • (2006) Phys. Lett. A , vol.355 , pp. 337-341
    • Ganji, D.D.1
  • 10
    • 33144478462 scopus 로고    scopus 로고
    • Assessment of Homotopy-Perturbation and Perturbation Methods in Heat Radiation Equations
    • Ganji, D. D., and Rajabi, A., Assessment of Homotopy-Perturbation and Perturbation Methods in Heat Radiation Equations, Int. Commun. Heat Mass Transfer, vol. 33, pp. 391-400, 2006.
    • (2006) Int. Commun. Heat Mass Transfer , vol.33 , pp. 391-400
    • Ganji, D.D.1    Rajabi, A.2
  • 11
    • 1642521024 scopus 로고    scopus 로고
    • Analysis of Flow and Heat Transfer in Porous Media Imbedded inside Various- Shaped Ducts
    • Haji-Sheikh, A., and Vafai, K., Analysis of Flow and Heat Transfer in Porous Media Imbedded inside Various- Shaped Ducts, Int. J. Heat Mass Transfer, vol. 47, pp. 1889-1905, 2004.
    • (2004) Int. J. Heat Mass Transfer , vol.47 , pp. 1889-1905
    • Haji-Sheikh, A.1    Vafai, K.2
  • 12
    • 33845432502 scopus 로고    scopus 로고
    • On Analytic Solution for Thin Film Flow of a Fourth Grade Fluid down a Vertical Cylinder
    • Hayat, T., and Sajid, M., On Analytic Solution for Thin Film Flow of a Fourth Grade Fluid down a Vertical Cylinder, Phys. Lett. A, vol. 361, pp. 316-322, 2007.
    • (2007) Phys. Lett. A , vol.361 , pp. 316-322
    • Hayat, T.1    Sajid, M.2
  • 13
    • 34047099448 scopus 로고    scopus 로고
    • Effect of Hall Current and Heat Transfer on the Flow in a Porous Medium with Slip Condition
    • Hayat, T., Abbas, Z., and Asghar, S., Effect of Hall Current and Heat Transfer on the Flow in a Porous Medium with Slip Condition, J. Porous Media, vol. 10, pp. 35-50, 2007.
    • (2007) J. Porous Media , vol.10 , pp. 35-50
    • Hayat, T.1    Abbas, Z.2    Asghar, S.3
  • 14
    • 0032307661 scopus 로고    scopus 로고
    • Approximate Analytical Solution for Seepage Flow with Fractional Derivatives in Porous Media
    • He, J. H., Approximate Analytical Solution for Seepage Flow with Fractional Derivatives in Porous Media, J. Comput. Math. Appl. Mech. Eng., vol. 167, pp. 57-68, 1998.
    • (1998) J. Comput. Math. Appl. Mech. Eng , vol.167 , pp. 57-68
    • He, J.H.1
  • 15
    • 0000092673 scopus 로고    scopus 로고
    • Variational Iteration Method-A Kind of Nonlinear Analytical Technique: Some Examples
    • He, J. H., Variational Iteration Method-A Kind of Nonlinear Analytical Technique: Some Examples, Int. J. Non-linear Mech., vol. 34, pp. 699-708, 1999a.
    • (1999) Int. J. Non-linear Mech , vol.34 , pp. 699-708
    • He, J.H.1
  • 16
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy Perturbation Technique
    • He, J. H., Homotopy Perturbation Technique, J. Comput. Math. Appl. Mech. Eng., vol. 17, pp. 257-262, 1999b.
    • (1999) J. Comput. Math. Appl. Mech. Eng , vol.17 , pp. 257-262
    • He, J.H.1
  • 17
    • 0040184009 scopus 로고    scopus 로고
    • Variational Iteration Method for Autonomous Ordinary Differential Systems
    • He, J. H., Variational Iteration Method for Autonomous Ordinary Differential Systems, Appl. Math. Comput., vol. 114, pp. 115-123, 2000a.
    • (2000) Appl. Math. Comput , vol.114 , pp. 115-123
    • He, J.H.1
  • 18
    • 0033702384 scopus 로고    scopus 로고
    • A Coupling Method of Homotopy Technique and Perturbation Technique for Nonlinear Problems
    • He, J. H., A Coupling Method of Homotopy Technique and Perturbation Technique for Nonlinear Problems, Int. J. Non-linear Mech., vol. 351, pp. 37-43, 2000b.
    • (2000) Int. J. Non-linear Mech , vol.351 , pp. 37-43
    • He, J.H.1
  • 19
    • 27744531467 scopus 로고    scopus 로고
    • He, J. H., Periodic Solutions and Bifurcations of Delay- Differential Equations, Phys. Lett. A, 347, pp. 228-230, 2005a.
    • He, J. H., Periodic Solutions and Bifurcations of Delay- Differential Equations, Phys. Lett. A, vol. 347, pp. 228-230, 2005a.
  • 20
    • 18844426016 scopus 로고    scopus 로고
    • Application of Homotopy Perturbation Method to Nonlinear Wave Equations
    • He, J. H., Application of Homotopy Perturbation Method to Nonlinear Wave Equations, Chaos Solitons Fractals, vol. 26, pp. 695-700, 2005b.
    • (2005) Chaos Solitons Fractals , vol.26 , pp. 695-700
    • He, J.H.1
  • 21
    • 30644460357 scopus 로고    scopus 로고
    • He, J. H., Homotopy Perturbation Method for Solving Boundary Value Problems, Phys. Lett. A, 350, pp. 87-88, 2006a.
    • He, J. H., Homotopy Perturbation Method for Solving Boundary Value Problems, Phys. Lett. A, vol. 350, pp. 87-88, 2006a.
  • 22
    • 33645972898 scopus 로고    scopus 로고
    • Some Asymptotic Methods for Strongly Nonlinear Equations
    • He, J. H., Some Asymptotic Methods for Strongly Nonlinear Equations, Int. J. Mod. Phys. B, vol. 20, pp. 1141-1199, 2006b.
    • (2006) Int. J. Mod. Phys. B , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 23
    • 33746584753 scopus 로고    scopus 로고
    • New Interpretation of Homotopy Perturbation Method
    • He, J. H., New Interpretation of Homotopy Perturbation Method, Int. J. Mod. Phys. B, vol. 20, pp. 2561-2568, 2006c.
    • (2006) Int. J. Mod. Phys. B , vol.20 , pp. 2561-2568
    • He, J.H.1
  • 24
    • 33645208586 scopus 로고    scopus 로고
    • Micropolar Flow in Porous Channel with High Mass Transfer
    • Kelson, N. A., Desseaux, A., and Farrell, T. W., Micropolar Flow in Porous Channel with High Mass Transfer, ANZIAMJ., vol. 44, pp. C479-C495, 2003.
    • (2003) ANZIAMJ , vol.44
    • Kelson, N.A.1    Desseaux, A.2    Farrell, T.W.3
  • 25
    • 21144436404 scopus 로고    scopus 로고
    • Heat Transfer and Flow Inducted by Both Natural Convection and Vibrations inside an Open-End Vertical Channel
    • Khaled, A., and Vafai, K., Heat Transfer and Flow Inducted by Both Natural Convection and Vibrations inside an Open-End Vertical Channel, Heat Mass Transfer, vol. 40, pp. 325-337, 2004.
    • (2004) Heat Mass Transfer , vol.40 , pp. 325-337
    • Khaled, A.1    Vafai, K.2
  • 26
    • 2342437284 scopus 로고    scopus 로고
    • Kim, Y. J., Heat and Mass Transfer in MHD Micropolar Flow over a Vertical Moving Porous Plate in a Porous Medium, Transp. Porous Media, 56, pp. 17-37, 2004.
    • Kim, Y. J., Heat and Mass Transfer in MHD Micropolar Flow over a Vertical Moving Porous Plate in a Porous Medium, Transp. Porous Media, vol. 56, pp. 17-37, 2004.
  • 27
    • 0142062919 scopus 로고    scopus 로고
    • Positive Solutions of Fourth-Order Two Point Boundary Value Problems
    • Liu, B., Positive Solutions of Fourth-Order Two Point Boundary Value Problems, Appl. Math. Comput., vol. 148, pp. 407-420, 2004.
    • (2004) Appl. Math. Comput , vol.148 , pp. 407-420
    • Liu, B.1
  • 28
    • 33745965279 scopus 로고    scopus 로고
    • Explicit Solutions of Helmholtz Equation and Fifth-Order Kdv Equation Using Homotopy-Perturbation Method
    • Rafei, M., and Ganji, D. D., Explicit Solutions of Helmholtz Equation and Fifth-Order Kdv Equation Using Homotopy-Perturbation Method, Int. J. Non-linear Sci. Numer. Simul, vol. 7, pp. 321-328, 2006.
    • (2006) Int. J. Non-linear Sci. Numer. Simul , vol.7 , pp. 321-328
    • Rafei, M.1    Ganji, D.D.2
  • 29
    • 0018309386 scopus 로고
    • Heat Transfer in Boundary Layer Flow of a Microp- olar Fluid Past a Curved Surface with Suction and Injection
    • Ramachandran, P. S., Mathur, M. N., and Ojha, S. K, Heat Transfer in Boundary Layer Flow of a Microp- olar Fluid Past a Curved Surface with Suction and Injection, Int. J. Eng. Sci., vol. 17, pp. 625-639, 1979.
    • (1979) Int. J. Eng. Sci , vol.17 , pp. 625-639
    • Ramachandran, P.S.1    Mathur, M.N.2    Ojha, S.K.3
  • 30
    • 0002643001 scopus 로고    scopus 로고
    • Boundary Layer Flow of a Micropolar Fluid through a Porous Medium
    • Raptis, A., Boundary Layer Flow of a Micropolar Fluid through a Porous Medium, J. Porous Media, vol. 3, pp. 95-97, 2000.
    • (2000) J. Porous Media , vol.3 , pp. 95-97
    • Raptis, A.1
  • 31
    • 32644462966 scopus 로고    scopus 로고
    • Thin Film Flow of a Third Grade Fluid on a Moving Belt by He's Homotopy Perturbation Method
    • Siddiqui, A. M., Mahmood, R., and Ghori, Q. K., Thin Film Flow of a Third Grade Fluid on a Moving Belt by He's Homotopy Perturbation Method, Int. J. Non-linear Sci. Numer. Simul., vol. 7, pp. 7-14, 2006a.
    • (2006) Int. J. Non-linear Sci. Numer. Simul , vol.7 , pp. 7-14
    • Siddiqui, A.M.1    Mahmood, R.2    Ghori, Q.K.3
  • 32
    • 33644969399 scopus 로고    scopus 로고
    • Homotopy Perturbation Method for Thin Film Flow of a Fourth Grade Fluid down a Vertical Cylinder
    • Siddiqui, A. M., Mahmood, R., and Ghori, Q. K., Homotopy Perturbation Method for Thin Film Flow of a Fourth Grade Fluid down a Vertical Cylinder, Phys. Lett. A, vol. 352, pp. 404-410, 2006b.
    • (2006) Phys. Lett. A , vol.352 , pp. 404-410
    • Siddiqui, A.M.1    Mahmood, R.2    Ghori, Q.K.3
  • 33
    • 33748578650 scopus 로고    scopus 로고
    • Variational Iteration Method for One Dimensional Nonlinear Thermoelas- ticity
    • Sweilam, N. H., and Khader, M. M., Variational Iteration Method for One Dimensional Nonlinear Thermoelas- ticity, Chaos Solitons Fractals, vol. 32, pp. 145-149, 2007.
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 145-149
    • Sweilam, N.H.1    Khader, M.M.2
  • 34
    • 34250650488 scopus 로고    scopus 로고
    • A Comparison between the Variational Iteration Method and Adomian Decomposition Method
    • Wazwaz, A. M., A Comparison between the Variational Iteration Method and Adomian Decomposition Method, J. Comput. Appl. Math, vol. 207, pp. 129-136, 2007.
    • (2007) J. Comput. Appl. Math , vol.207 , pp. 129-136
    • Wazwaz, A.M.1
  • 35
    • 34250620099 scopus 로고    scopus 로고
    • The Variational Iteration Method for Rational Solutions for KdV, K(2, 2), Burgers, and Cubic Boussinesq Equations
    • Wazwaz, A. M., The Variational Iteration Method for Rational Solutions for KdV, K(2, 2), Burgers, and Cubic Boussinesq Equations, J. Comput. Appl. Math., vol. 207, pp. 18-23, 2007.
    • (2007) J. Comput. Appl. Math , vol.207 , pp. 18-23
    • Wazwaz, A.M.1


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