Analytic Approximate Solutions for Unsteady Two-Dimensional and Axisymmetric Squeezing Flows between Parallel Plates

Joint Authors

Rashidi, Mohammad Mehdi
Dinarvand, Saeed
Shahmohamadi, Hamed

Source

Mathematical Problems in Engineering

Issue

Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-02-25

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Civil Engineering

Abstract EN

The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates is investigated.

The unsteady Navier-Stokes equations are reduced to a nonlinear fourth-order differential equation by using similarity solutions.

Homotopy analysis method (HAM) is used to solve this nonlinear equation analytically.

The convergence of the obtained series solution is carefully analyzed.

The validity of our solutions is verified by the numerical results obtained by fourth-order Runge-Kutta.

American Psychological Association (APA)

Rashidi, Mohammad Mehdi& Shahmohamadi, Hamed& Dinarvand, Saeed. 2009. Analytic Approximate Solutions for Unsteady Two-Dimensional and Axisymmetric Squeezing Flows between Parallel Plates. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-13.
https://search.emarefa.net/detail/BIM-509449

Modern Language Association (MLA)

Rashidi, Mohammad Mehdi…[et al.]. Analytic Approximate Solutions for Unsteady Two-Dimensional and Axisymmetric Squeezing Flows between Parallel Plates. Mathematical Problems in Engineering No. 2008 (2008), pp.1-13.
https://search.emarefa.net/detail/BIM-509449

American Medical Association (AMA)

Rashidi, Mohammad Mehdi& Shahmohamadi, Hamed& Dinarvand, Saeed. Analytic Approximate Solutions for Unsteady Two-Dimensional and Axisymmetric Squeezing Flows between Parallel Plates. Mathematical Problems in Engineering. 2009. Vol. 2008, no. 2008, pp.1-13.
https://search.emarefa.net/detail/BIM-509449

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-509449