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

• Autorzy: Azimi M. , Hedesh A. M. , Karimian S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

porous cylinder; flow modeling; solid rocket motors; analytical approach; DTM; digital terrain model (DTM)

PL

modelowanie przepływu; silniki rakietowe na stały materiał pędny; podejście analityczne; DTM; numeryczny model terenu

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. 21, nr 2
• Strony: 379--387
• Opis fizyczny: Bibliogr. 14 poz., 1 rys., wykr.

Twórcy

autor

Azimi M.

• Faculty of Engineering, Aerospace Group, University of Tehran, Tehran, Iran

autor

Hedesh A. M.

• Faculty of Engineering, University of Malek-Ashtar, Tehran, Iran

autor

Karimian S.

• Faculty of Engineering, Tarbiat Modares University, Tehran, Iran

Bibliografia

• [1] Culick, F. E. C.: Unsteady motions in combustion chambers for propulsion systems, Agardograph, Advisory Group for Aerospace Research and Development, 2006.
• [2] Stebel, J.: On shape stability of incompressible fluids subject to Navier’s slip, 23, 35-57, 2010.
• [3] Makinde, O. D. and Osalusi, E.: MHD steady flow in a channel with slip at the permeable boundaries, Applied Mathematics Department, University of Limpopo, South Africa, 2005.
• [4] Makinde, O. D.: Laminar flow in a channel of varying width with permeable boundaries, Romanian Jour. Phys., 40, 4-5, 403-417, 1995.
• [5] Yogesh, M., Morton, J. and Denn, M.: Planar contraction flow with a slip boundary condition, Newyork, NY 10031, 2003.
• [6] Ganji, D. D. and Azimi, M.: Application of Max Min Approach and Amplitude Frequency Formulation to Nonlinear Oscillation Systems, U.P.B. Scientific Bulletin, 74, 3, 131-140, 2012.
• [7] Ganji, D. D., Azimi, and Mostofi, M. M.: Energy Balance Method and Amplitude Frequency Formulation Based of Strongly Nonlinear Oscillators, Indian Journal of Pure & Applied Physics, 50, 11, 670-675, 2012.
• [8] Ganji, D. D. and Azimi, M.: Application of DTM on MHD Jeffery Hamel Problem with Nanoparticle, U.P.B. Sci. Bull., Series D, 75, 1, 223-230, 2013.
• [9] Shakeri, F., Ganji, D. D. and Azimi, M.: Application of HPM-Pade Technique to Jeffery Hamel Problem, International Review of Mechanical Engineering, 6, 3, 537-540, 2012.
• [10] Azimi, M., Azimi, A. and Mirzaei, M.: Investigation of the unsteady graphene oxide nanofluid flow between two moving plates, Journal of Computational and Theoritical Nanoscience, 11, 10, 1-5, 2014.
• [11] Gorji-Bandpy, M., Azimi, M. and Mostofi, M.: Analytical Methods to a Generalized Duffing Oscillator, Australian Journal of Basic and Applied Science, 5, 11, 788-796, 2011.
• [12] Karimian, S. and Azimi, M.: Periodic Solution for Vibration of Euler-Bernoulli Beams Subjected to Axial Load Using DTM and HA, Scientific Bulletin, Series D, I2, 69-76, 2014.
• [13] Majdalani, J., Zhou, C. and Dawson, C. A.: Two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability, J. Biomech., 35, 1399-1403, 2002.
• [14] Berman, A. S.: Laminar flow in channels with porous walls, J. Appl. Phys., 24, 1232-1235, 1953.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).