Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in pours media prescribed surface heat flux |
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| Institution: | 1. Babol Noshiravani University of Technology, P.O. Box 484, Babol, Iran;2. Shahid Bahonar University of Kerman, Department of Mechanical Engineering, Kerman, Iran;1. Unit of Clinical Pharmacology, L. Sacco University Hospital, Milan, Italy;2. Department of Infectious Diseases, L. Sacco University Hospital, Milan, Italy;3. Clinical Pharmacology Unit, CNR Institute of Neuroscience, Dept. Biomedical and Clinical Sciences, L. Sacco University Hospital, Università di Milano, Milan, Italy;4. Scientific Institute IRCCS E.Medea, 23842 Bosisio Parini, Italy;5. Università degli Studi di Milano, Milan, Italy;1. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China;2. Collaborative Innovation Center of High-end Laser Manufacturing Equipment (National “2011 Plan”), Zhejiang University of Technology, Hangzhou 310023, China;3. State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310014, China;1. University of Leeds, School of Civil Engineering, Faculty of Engineering and Physical Sciences, Woodhouse Lane, LS2 9JT Leeds, United Kingdom;2. Ramboll, 240 Blackfriars Rd, London SE1 8NW, United Kingdom;3. Aristotle University of Thessaloniki, Institute of Metal Structures, Department of Civil Engineering, Greece;1. Department of Mechanical Engineering, Guangdong College of Industry & Commerce, Guangzhou 510510, China;2. Department of Materials Science, Fudan University, Shanghai 200433, China;3. Department of Materials Science & Engineering, Peking University, Beijing 100871, China |
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| Abstract: | In this paper, a powerful analytical method, called homotopy analysis method (HAM) is used to obtain the analytical solution for a nonlinear ordinary deferential equation that often appear in boundary layers problems arising in heat and mass transfer which these kinds of the equations contain infinity boundary condition. The boundary layer approximations of fluid flow and heat transfer of vertical full cone embedded in porous media give us the similarity solution for full cone subjected to surface heat flux boundary conditions. Nonlinear ODE which is obtained by similarity solution has been solved through homotopy analysis method (HAM). The main objective is to propose alternative methods of solution, which do not require small parameters and avoid linearization and physically unrealistic assumptions. The obtained analytical solution in comparison with the numerical ones represents a remarkable accuracy. The results also indicate that HAM can provide us with a convenient way to control and adjust the convergence region. |
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