A Uniformly Valid Series Solution to Sakiadis Flow

XU Ding

doi:10.3879/j.issn.1000-0887.2015.02.007

Volume 36 Issue 2

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XU Ding. A Uniformly Valid Series Solution to Sakiadis Flow[J]. Applied Mathematics and Mechanics, 2015, 36(2): 178-189. doi: 10.3879/j.issn.1000-0887.2015.02.007

Citation:

XU Ding. A Uniformly Valid Series Solution to Sakiadis Flow[J]. Applied Mathematics and Mechanics, 2015, 36(2): 178-189. doi: 10.3879/j.issn.1000-0887.2015.02.007

Citation:

XU Ding. A Uniformly Valid Series Solution to Sakiadis Flow[J]. Applied Mathematics and Mechanics, 2015, 36(2): 178-189. doi: 10.3879/j.issn.1000-0887.2015.02.007

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A Uniformly Valid Series Solution to Sakiadis Flow

doi: 10.3879/j.issn.1000-0887.2015.02.007

XU Ding

State Key Laboratory for Strength and Vibration of Mechanical Structures (Xi’an Jiaotong University); School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, P.R.China

Funds: The National Natural Science Foundation of China(11102150)

Received Date: 2014-04-03
Rev Recd Date: 2014-11-17
Publish Date: 2015-02-15

Abstract

Abstract

In order to overcome the major mathematical difficulties in Sakiadis flow due to the semi-infinite flow domain and the asymptotic far field boundary condition, transformations were introduced for both the related independent variables and functions simultaneously, to convert the semi-infinite domain to a finite one and the asymptotic boundary condition to a convenient form. Then, based on the fixed point theory in functional analysis, the deduced nonlinear differential equation was solved, and an approximate semi-analytical series solution to Sakiadis flow was obtained. The calculation results show that the solution is uniformly valid in the semi-infinite domain, and the fixed point method makes an effective way to achieve approximate analytical solutions to differential equations.
- Sakiadis flow,
- fixed point method,
- boundary layer,
- uniformly valid

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References(17)

References

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