Flow Modeling in a Porous Cylinder with Regressing Walls Using Semi Analytical Approach

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Year 2014 Vol 3 Issue 3
Document Type : original article
¹Mohammadreza Azimi ²Ali Montazeri Hedesh ³Saeed Karimian c
¹Faculty of Engineering, Aerospace Group, University of Tehran, Tehran
²Faculty of Engineering, University of Malek-Ashtar, Tehran, Iran
³Faculty of Engineering, Tarbiat Modares University, Tehran, Iran.
Abstract
n this paper, the mathematical modeling of the flo w in a porous cylinder with a focus on applications to solid rocket motors is presented.
The cylindrical prop ellant grain of a solid rocket motor is modeled as a long tube with one end closed at the headwall, while the other rem ains open
The problem description and for mulation are considered. The Navier-Stokes equations for the vis cous flow in a porous cylinder with regressing wall s are reduced to a nonlinear ODE by using a similarity transforma tion in time and space
. Application of Differential Transformation Method (DTM) as an approximate analytical method ha s been successfully applied
Keywords
Porous Cylinder, Flow modeling, Solid Rocket Motor s, Analytical Approach, DTM
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