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Application of reconstruction of variational iteration method on the laminar flow in a porous cylinder with regressing walls

Azimi M., Hedesh A. M., Karimian S.

Mechanics and Mechanical Engineering

2017

Vol. 21, nr 2

379--387

A study of an incompressible two-dimensional flow in a channel with one porous wall is presented in this research. As usual, the cylindrical propellant grain of a solid rocket motor is modeled as a long tube with one end closed at the headwall, while the other remains open. The governing continuity and momentum equations together with the associated boundary conditions are first reduced to a set of self similar non-linear coupled ordinary differential equations using similarity transformations. Then we solved the ordinary differential equation by RVIM and the numerical method.

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

Azimi M., Hedesh A. M., Karimian S.

Mechanics and Mechanical Engineering

2014

Vol. 18, nr 2

77--84

In this paper, the mathematical modeling of the flow in a porous cylinder with a focus on applications to solid rocket motors is presented. As usual, the cylindrical propellant grain of a solid rocket motor is modeled as a long tube with one end closed at the headwall, while the other remains open. The cylindrical wall is assumed to be permeable so as to simulate the propellant burning and normal gas injection. At first, the problem description and formulation are considered. The Navier–Stokes equations for the viscous flow in a porous cylinder with regressing walls are reduced to a nonlinear ODE by using a similarity transformation in time and space. Application of Differential Transformation Method (DTM) as an approximate analytical method has been successfully applied. Finally the results have been presented for various cases.