Thermal Analysis of Natural Convection in Porous Fins with Homotopy Perturbation Method (HPM)
نویسندگان
چکیده
منابع مشابه
Application of the Homotopy Perturbation Method (HPM) and the Homotopy Analysis Method (HAM) to the Problem of the Thermal Explosion in A Radiation Gas with Polydisperse Fuel Spray
The aim of this work is to apply the homotopy perturbation method and homotopy analysis method to the problem of thermal explosion in a flammable gas mixture with the addition of volatile fuel droplets. The system of equations that describes the effects of heating, evaporation, and combustion of fuel in a polydisperse spray is simplified. Both convective and radiative heating of droplets is tak...
متن کاملA NOVEL HOMOTOPY PERTURBATION METHOD: KOUROSH´S METHOD FOR A THERMAL BOUNDARY LAYER IN A SATURATED POROUS MEDIUM
this paper a novel homotopy perturbation method has been presented for forced convection boundary layer problems in a porous medium. Noting the infinite condition, a homotopy form which is similar to the singular perturbation form has been considered. The inner and outer solutions have been achieved and the coincidence of the results has been investigated with a proper matching method. The resu...
متن کاملNONLINEAR CONTROL OF HEAT TRANSFER DYNAMIC USING HOMOTOPY PERTURBATION METHOD (HPM)
Nonlinear problems are more challenging and almost complex to be solved. A recently developed Homotopy Perturbation Method (HPM) is introduced. This method is used to represent the system as a less complicated (almost linear) model. To verify the effectiveness, HPM based model is compared with the nonlinear dynamic in both open and closed loop PI controlled. The error indices are approximation ...
متن کاملThe extended homotopy perturbation method and boundary layer flow due to condensation and natural convection on a porous vertical plate
The extended homotopy perturbation method and boundary layer flow due to condensation and natural convection on a porous vertical plate Qasem M. Al-Mdallal a , Muhammed I. Syam a & P. Donald Ariel b a Department of Mathematical Sciences, College of Science, United Arab Emirates University, PO Box 17551, Al-Ain, United Arab Emirates b Department of Mathematical Sciences, Trinity Western Universi...
متن کاملThe Homotopy Perturbation Method (HPM) for Nonlinear Parabolic Equation with Nonlocal Boundary Conditions
In this paper , we have presented Homotopy Perturbation Method (HPM) to solve nonlinear parabolic equation with nonlocal boundary conditions. This method provides an analytical solution by utilizing only the initial condition. The HPM allows for the solution of the nonlinear parabolic equations to be calculated in the form of a series with easily computable components. The obtained results are ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Arabian Journal for Science and Engineering
سال: 2013
ISSN: 1319-8025,2191-4281
DOI: 10.1007/s13369-013-0581-6