Author:
Mohammadyari Reza,Rahimi-Esbo Mazaher,Khalili Asboei Alireza
Abstract
In this article magneto hydrodynamics (MHD) boundary layer flow of compressible fluid in a channel with porous walls is researched. In this study it is shown that the nonlinear Navier-Stokes equations can be reduced to an ordinary differential equation, using the similarity transformations and boundary layer approximations. Analytical solution of the developed nonlinear equation is carried out by the Differential Transformation Method (DTM). In addition to applying DTM into the obtained equation, the result of the mentioned method is compared with a type of numerical analysis as Boundary Value Problem method (BVP) and a good agreement is seen. The effects of the Reynolds number and Hartman number are investigated.
Publisher
Sociedade Paranaense de Matematica
Reference15 articles.
1. 1. H. Branover, P. S. Lykoudis and M. Mond, Single - and multi-phase flows in an electromagnetic field: energy, metallurgical, and solar applications-4th Edition, American Institute of Aeronautics and Astronautics, New York, Preface (1984).
2. 2. M. J. Pattison, K. N. Premnath, N. B. Morley and M. A. Abdouc, Progress in lattice Boltzmann methods for magnetohydrodynamic flows relevant to fusion applications, Fusion Engineering and Design, 83, 557-572 (2008).
3. 3. J. K. Zhou, Differential Transformation and its Applications for Electrical Circuits, China (in Chinese), Huarjung University Press (1986).
4. 4. A. A. Joneidi, D. D. Gangi and M. Babaelahi, Three analytical methods applied to Jeffery Hamel flow, Communications in Nonlinear Science and Numerical Simulation, 15 (11), 3423-3434 (2010).
5. 5. D. D. Ganji, M. Rahimi, M. Rahgoshay and M. Jafari, Analytical and numerical investigation of fin efficiency and temperature distribution of conductive, convective, and radiative straight fins, Heat Transfer-Asian Research, 40 (3) 233-245 (2011).
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