Numerical Study on Gas Flow through a Micro-Nano Porous Media

• Authors: S. Abbasbandy
• Languages of publication: EN

Abstracts

EN

The present research examines the unsteady isothermal flow of a gas through a semi-infinite micro-nano porous medium, a nonlinear boundary value problem on semi-infinite interval. This problem is solved by two different methods and compare their results with solution of other methods is compared. Also through the convergence of these methods, the accurate initial slope y(x) with good capturing the essential behavior of y(x) is obtained.

Keywords

EN

02.70.Bf; 68.47.-b; 87.10.Ed; 95.90.+v

Discipline

• 68.47.-b: Solid-gas/vacuum interfaces: types of surfaces
• 02.70.Bf: Finite-difference methods
• 87.10.Ed: Ordinary differential equations (ODE), partial differential equations (PDE), integrodifferential models
• 95.90.+v: Historical astronomy and archaeoastronomy; and other topics in fundamental astronomy and astrophysics; instrumentation, techniques, and astronomical observations

• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 3
• Pages: 581-585

Dates

published

2012-03

received

2011-05-10

(unknown)

2011-09-17

(unknown)

2011-10-11

Contributors

author

S. Abbasbandy

• Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149-16818, Iran

References

• 1. R.C. Roberts, in: Proc. First US National Congress of Applied Mechanics, Ann Arbor (MI), Eds. E. Sternberg, R.A. Eubanks, M.A. Sadowsky, American Society of Mechanical Engineers, Ann Arbor (MI) 1952, p. 773
• 2. R.E. Kidder, J. Appl. Mech. 24, 329 (1957)
• 3. T.Y. Na, Computational Methods in Engineering Boundary Value Problems, Academic Press, New York 1979
• 4. R.P. Agarwal, D. O'Regan, Stud. Appl. Math. 108, 245 (2002)
• 5. A.M. Wazwaz, Appl. Math. Comput. 118, 123 (2001)
• 6. M. Aslam Noor, S.T. Mohyud-Din, Math. Problems Eng., Article ID 917407 (2008)
• 7. K. Parand, A. Taghavi, M. Shahini, Acta Phys. Pol. B 40, 1749 (2009)
• 8. A. Taghavi, K. Parand, H. Fani, Int. J. Comput. Math. Sci. 3, 40 (2009)
• 9. Y. Khan, N. Faraz, A. Yildirim, World Appl. Sci. J. 9, 27 (2010)
• 10. S.T. Mohyud-Din, A. Yildirim, M.M. Hosseini, Int. J. Differ. Equ., Article ID 426213 (2010)
• 11. A.R. Rezaei, K. Parand, A. Pirkhedri, J. Comput. Theor. Nanosci. 8, 282 (2011)
• 12. H.B. Keller, in: Numerical Solutions of Partial Differential Equations, Vol. II, Ed. B. Hubbard, Academic Press, New York 1971, p. 327
• 13. T. Cebeci, P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer, New York 1988
• 14. P.R. Nachtsheim, P. Swigert, 'Satisfaction of the asymptotic boundary conditions in numerical solution of the system of non-linear equations of boundary layer type', NASA TND-3004 (1965)

Identifiers

DOI

10.12693/APhysPolA.121.581