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Numerical Study on Gas Flow Through a Micro-Nano Porous Media Based on Special Functions

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In this paper unsteady isothermal flow of a gas through a semi-infinite Micro-Nano porous medium which is a non-linear two-point boundary value problem (BVP) on semi-infinite interval has been considered. We solve this problem by two different pseudospectral approaches and compare their results with solution of other methods. The proposed approaches are equipped by the orthogonal rational Legendre and Sinc functions. These methods reduce solution of the problem to solution of a system of algebraic equations. Also through the convergence of these methods we determine the accurate initial slope y′(0) with good capturing the essential behavior of y(x).

Keywords: MICRO-NANO POROUS MATERIALS; NONLINEAR ODE; PSEUDOSPECTRAL METHOD; RATIONAL LEGENDRE FUNCTIONS; SINC FUNCTIONS; UNSTEADY GAS EQUATION

Document Type: Research Article

Publication date: February 1, 2011

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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