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 ef...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/530605 |
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| _version_ | 1832556441564610560 |
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| author | Benchawan Wiwatanapataphee Yong Hong Wu Suharsono Suharsono |
| author_facet | Benchawan Wiwatanapataphee Yong Hong Wu Suharsono Suharsono |
| author_sort | Benchawan Wiwatanapataphee |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-dc17f01965df4090835a8f4a139173d1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dc17f01965df4090835a8f4a139173d12025-02-03T05:45:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/530605530605Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip BoundaryBenchawan Wiwatanapataphee0Yong Hong Wu1Suharsono Suharsono2Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, ThailandDepartment of Mathematics & Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaDepartment of Mathematics, Lampung University, Lampung 35145, IndonesiaWe 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.http://dx.doi.org/10.1155/2014/530605 |
| spellingShingle | Benchawan Wiwatanapataphee Yong Hong Wu Suharsono Suharsono Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2014/530605 |
| work_keys_str_mv | AT benchawanwiwatanapataphee transientflowsofnewtonianfluidthrougharectangularmicrochannelwithslipboundary AT yonghongwu transientflowsofnewtonianfluidthrougharectangularmicrochannelwithslipboundary AT suharsonosuharsono transientflowsofnewtonianfluidthrougharectangularmicrochannelwithslipboundary |