Oscillatory flow of a Casson fluid in an elastic tube with variable cross section
The aim of this paper was to study an oscillatory flow of a Casson fluid through an elastic tube of variable cross section. The radial displacement of tube wall is taken into consideration. The problem is modelled under the assumption that the variation of the cross section of the tube is slow in th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2018-12-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/AMNS.2018.2.00044 |
| _version_ | 1818308743160397824 |
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| author | Selvi C.K. Srinivas A.N.S. |
| author_facet | Selvi C.K. Srinivas A.N.S. |
| author_sort | Selvi C.K. |
| collection | DOAJ |
| description | The aim of this paper was to study an oscillatory flow of a Casson fluid through an elastic tube of variable cross section. The radial displacement of tube wall is taken into consideration. The problem is modelled under the assumption that the variation of the cross section of the tube is slow in the axial direction. Cylindrical coordinate system is chosen to study the problem. The analytical expressions for axial velocity and mass flux as a function of pressure gradient are obtained. The change in pressure distribution for various pressure****radius relationships is analyzed by considering different geometries. The effects of elastic parameter, Womersley parameter and Casson parameter on excess pressure and pressure gradient along axial direction are discussed through graphs. The results reveal that the elastic parameter plays a key role in the variation of pressure along the tube. Womersley parameter has significant effect on pressure distribution. Another important observation is that the amplitude of pressure increases for growing values of Casson parameter for both tapered and constricted tubes. In addition, the pressure oscillates more for the case of locally constricted tube when compared to other geometries. |
| first_indexed | 2024-12-13T07:19:07Z |
| format | Article |
| id | doaj.art-b5defdc0178d45c89af66dd11d4b1be3 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-12-13T07:19:07Z |
| publishDate | 2018-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-b5defdc0178d45c89af66dd11d4b1be32022-12-21T23:55:28ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562018-12-013257158210.2478/AMNS.2018.2.00044Oscillatory flow of a Casson fluid in an elastic tube with variable cross sectionSelvi C.K.0Srinivas A.N.S.1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu, Vellore, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu, Vellore, IndiaThe aim of this paper was to study an oscillatory flow of a Casson fluid through an elastic tube of variable cross section. The radial displacement of tube wall is taken into consideration. The problem is modelled under the assumption that the variation of the cross section of the tube is slow in the axial direction. Cylindrical coordinate system is chosen to study the problem. The analytical expressions for axial velocity and mass flux as a function of pressure gradient are obtained. The change in pressure distribution for various pressure****radius relationships is analyzed by considering different geometries. The effects of elastic parameter, Womersley parameter and Casson parameter on excess pressure and pressure gradient along axial direction are discussed through graphs. The results reveal that the elastic parameter plays a key role in the variation of pressure along the tube. Womersley parameter has significant effect on pressure distribution. Another important observation is that the amplitude of pressure increases for growing values of Casson parameter for both tapered and constricted tubes. In addition, the pressure oscillates more for the case of locally constricted tube when compared to other geometries.https://doi.org/10.2478/AMNS.2018.2.00044oscillatory flowcasson fluidelasticityvariable cross sectionwomersley number76a05 |
| spellingShingle | Selvi C.K. Srinivas A.N.S. Oscillatory flow of a Casson fluid in an elastic tube with variable cross section Applied Mathematics and Nonlinear Sciences oscillatory flow casson fluid elasticity variable cross section womersley number 76a05 |
| title | Oscillatory flow of a Casson fluid in an elastic tube with variable cross section |
| title_full | Oscillatory flow of a Casson fluid in an elastic tube with variable cross section |
| title_fullStr | Oscillatory flow of a Casson fluid in an elastic tube with variable cross section |
| title_full_unstemmed | Oscillatory flow of a Casson fluid in an elastic tube with variable cross section |
| title_short | Oscillatory flow of a Casson fluid in an elastic tube with variable cross section |
| title_sort | oscillatory flow of a casson fluid in an elastic tube with variable cross section |
| topic | oscillatory flow casson fluid elasticity variable cross section womersley number 76a05 |
| url | https://doi.org/10.2478/AMNS.2018.2.00044 |
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