Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The boundary layer equation of the pseudoplastic fluid over a flat plate is considered.
This equation is a boundary value problem (BVP) with the high nonlinearity and a boundary condition at infinity.
To solve such problems, powerful numerical techniques are usually used.
Here, through using differential transform method (DTM), the BVP is replaced by two initial value problems (IVP) and then multi-step differential transform method (MDTM) is applied to solve them.
The differential equation and its boundary conditions are transformed to a set of algebraic equations, and the Taylor series of solution is calculated in every sub domain.
In this solution, there is no need for restrictive assumptions or linearization.
Finally, DTM results are compared with the numerical solution of the problem, and a good accuracy of the proposed method is observed.
American Psychological Association (APA)
Mosayebidorcheh, Sobhan. 2013. Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1010338
Modern Language Association (MLA)
Mosayebidorcheh, Sobhan. Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1010338
American Medical Association (AMA)
Mosayebidorcheh, Sobhan. Solution of the Boundary Layer Equation of the Power-Law Pseudoplastic Fluid Using Differential Transform Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1010338
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010338