Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary
We study the transient flow of a Newtonian fluid in rectangular microchannels taking into account boundary slip. An exact solution is derived by using the separation of variables in space and Fourier series expansion in time. It is found that, for different forms of driving pressure field, the effec...
| Main Authors: | , , |
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| Format: | Journal Article |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/17064 |
| _version_ | 1848749356348342272 |
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| author | Wiwatanapataphee, B Wu, Yong Hong Suharsono, S. |
| author_facet | Wiwatanapataphee, B Wu, Yong Hong Suharsono, S. |
| author_sort | Wiwatanapataphee, B |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We study the transient flow of a Newtonian fluid in rectangular microchannels taking into account boundary slip. An exact solution is derived by using the separation of variables in space and Fourier series expansion in time. It is found that, for different forms of driving pressure field, the effect of boundary slip on the flow behavior is qualitatively different. If the pressure gradient is constant, the flow rate is almost linearly proportional to the slip parameter ℓ when ℓ is large; if the pressure gradient is in a waveform, as the slip parameter ℓ increases, the amplitude of the flow rate increases until approaching a constant value when ℓ becomes sufficiently large. |
| first_indexed | 2025-11-14T07:19:38Z |
| format | Journal Article |
| id | curtin-20.500.11937-17064 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:19:38Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-170642017-09-13T15:43:28Z Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary Wiwatanapataphee, B Wu, Yong Hong Suharsono, S. We study the transient flow of a Newtonian fluid in rectangular microchannels taking into account boundary slip. An exact solution is derived by using the separation of variables in space and Fourier series expansion in time. It is found that, for different forms of driving pressure field, the effect of boundary slip on the flow behavior is qualitatively different. If the pressure gradient is constant, the flow rate is almost linearly proportional to the slip parameter ℓ when ℓ is large; if the pressure gradient is in a waveform, as the slip parameter ℓ increases, the amplitude of the flow rate increases until approaching a constant value when ℓ becomes sufficiently large. 2014 Journal Article http://hdl.handle.net/20.500.11937/17064 10.1155/2014/530605 Hindawi Publishing Corporation fulltext |
| spellingShingle | Wiwatanapataphee, B Wu, Yong Hong Suharsono, S. Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary |
| title | Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary |
| title_full | Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary |
| title_fullStr | Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary |
| title_full_unstemmed | Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary |
| title_short | Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary |
| title_sort | transient flows of newtonian fluid through a rectangular microchannel with slip boundary |
| url | http://hdl.handle.net/20.500.11937/17064 |