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Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition : Application to the Cancer Treatment
Joint Authors
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In the cancer treatment, magnetic nanoparticles are injected into the blood vessel nearest to the cancer’s tissues.
The dynamic of these nanoparticles occurs under the action of the peristaltic waves generated on the flexible walls of the blood vessel.
Studying such nanofluid flow under this action is therefore useful in treating tissues of the cancer.
In this paper, the mathematical model describing the slip peristaltic flow of nanofluid was analytically investigated.
Exact expressions were deduced for the temperature distribution and nano-particle concentration.
In addition, the effects of the slip, thermophoresis, and Brownian motion parameters on the temperature and nano-particle concentration profiles were discussed and further compared with other approximate results in the literatures.
In particular, these results have been obtained at the same values of the physical examined parameters that was considered in Akbar et al., “Peristaltic flow of a nanofluid with slip effects,” 2012.
The results reveal that remarkable differences are detected between the exact current results and those approximately obtained in the literatures for behaviour of the temperature profile and nano-particles concentration.
Accordingly, the current analysis and results are considered as optimal and therefore may be taken as a base for any future comparisons.
American Psychological Association (APA)
Ebaid, Abdelhalim& Aly, Emad H.. 2013. Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition : Application to the Cancer Treatment. Computational and Mathematical Methods in Medicine،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-501140
Modern Language Association (MLA)
Ebaid, Abdelhalim& Aly, Emad H.. Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition : Application to the Cancer Treatment. Computational and Mathematical Methods in Medicine No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-501140
American Medical Association (AMA)
Ebaid, Abdelhalim& Aly, Emad H.. Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition : Application to the Cancer Treatment. Computational and Mathematical Methods in Medicine. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-501140
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501140