DETERMINATION OF TEMPERATURE DISTRIBUTION FOR POROUS FIN WHICH IS EXPOSED TO UNIFORM MAGNETIC FIELD TO A VERTICAL ISOTHERMAL SURFACE BY HOMOTOPY ANALYSIS METHOD AND COLLOCATION METHOD

سال انتشار: 1392
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 1,178

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شناسه ملی سند علمی:

NCMII01_140

تاریخ نمایه سازی: 22 اردیبهشت 1393

چکیده مقاله:

. In this study, a concept of Collocation Method (CM) and Homotpy Analysis Method (HAM) are introduced and used to obtain a simple and accurate solution for predicting the temperature distribution in a porous fin which is exposed to uniform magnetic field. The obtained result from CM and HAM is compared with boundary value problem (BVP) as a numerical method for validation. The Maxwell equations have been used, and Roseland approximation for radiation heat transfer and Darcy model for simulating the flow in porous medium have been adapted. To study the thermal performance, a type case considered is finite-length fin with insulated tip. The dimensionless temperature profile has been obtained for different Rayleigh numbers, convection–conduction parameter, Surface-ambient radiation parameter and Hartman number. The present results are easily shows that despite its simplicity, CM and HAM offers superior accuracy compared with BVP

نویسندگان

s rezazadeh

Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Ayatollah Amoli, Iran

d.d ganji

Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Ayatollah Amoli, Iran

h salaryan

Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Ayatollah Amoli, Iran

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  • Aziz, A . (2006): Heat conduction with maple. Philadelphia (PA): ...
  • Adomian, G. (1983): Stochastic Systems. Academic Press Inc. New York. ...
  • -[3] Adomian, G. (1986): Nonlinear Stochastic Operator Equations. Academic Press ...
  • Aude, P., Beghein, C., Depecher, P. and Inard, C. (1998): ...
  • Aldoss, T.K., Ali, Y.D., Al-Nimr, M.A. (1996): MHD mixed convection ...
  • Chamkha, A.J., Takhar, H.S., Nat, G. (2004): Mixed convection flow ...
  • Esmaeilpour, M., Ganji, D.D., Mohseni, E.(2009): Application of homotopy perturbation ...
  • Fillo, J. and Geer, J. (1996a): Hybrid perturbation- Galerkin technique ...
  • Ganji, D.D.(2006): The application of He's homotopy perturbation method to ...
  • Ganji, D.D, Sadighi, A.(2007): Application of homotopy -perturbation and variational ...
  • Ganji, D.D., Jamshidi, N., Ganji, Z.Z.(2009): HPM and VIM methods ...
  • Ganji, D.D., Hafez Tari, Bakhshi Jooybari M.(2007a): Variational iteration method ...
  • Ganji, D.D., Afrouzi, G.A., Talarposhti, R.A.(2007b): Application of variationt iteration ...
  • Hatami. M., Hasanpour. A., Ganji. D.D. (2013): Heat transfer study ...
  • He, J.H. (2005a): Homotopy perturbation method for bifurcation of nonlinear ...
  • He, J.H. (2005b): Application of homotopy perturbation method to nonlinear ...
  • He, J.H.(2007): Variational iteration method - SOme recent results and ...
  • He, J.H., Wu, XH.(2006): Construction of solitary solution and compaction- ...
  • Momani, S 0 , Abuasad , S.(2006): Application of He:s ...
  • He, J.H.(1999): Variational iteration method-a kind of nonlinear analytical technique: ...
  • Aklifi, A., Aghanajafi, _ Akrami, H. (2010): _ Effect of ...
  • He, J.H. (2000): A coupling method of homotopy technique _ ...
  • -[23] He, J.H. (1998): Approximate analytical solution for seepage with ...
  • Kiwan, S.(2007): Effect of radiative losses On the heat transfer ...
  • Liao, S. J. (1995): An approximate solution technique not depending ...
  • [26] Liao, S.J.(1997): Boundary element method for general nonlinear differential ...
  • [27] Liao, S.J.(2003): Beyond perturbation: introduction to the homotopy analysis ...
  • Liao, S. J.(2004): On the homotopy analysis method for nonlinear ...
  • Liao , S. J. (2012) : Homotopy Analysis Method in ...
  • Torabi, Mohsen., Yaghobi, H., Saedodin, S. (2011): assessmment of Homotopy ...
  • Kiwan, S.(2007): Effect of radiative losses On the heat transfer ...
  • نمایش کامل مراجع