Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel
The heat induced by viscous dissipation in a microchannel fluid, due to a small oscillating motion of the lower plate, is investigated for the first time. The methodology is by applying the momentum and energy equations and solving them for three cases of standard thermal boundary conditions. The fi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-10-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/10/10/499 |
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| author | Chih Ping Tso Chee Hao Hor Gooi Mee Chen Chee Kuang Kok |
| author_facet | Chih Ping Tso Chee Hao Hor Gooi Mee Chen Chee Kuang Kok |
| author_sort | Chih Ping Tso |
| collection | DOAJ |
| description | The heat induced by viscous dissipation in a microchannel fluid, due to a small oscillating motion of the lower plate, is investigated for the first time. The methodology is by applying the momentum and energy equations and solving them for three cases of standard thermal boundary conditions. The first two cases involve symmetric boundary conditions of constant surface temperature on both plates and both plates insulated, respectively. The third case has the asymmetric conditions that the lower plate is insulated while the upper plate is maintained at constant temperature. Results reveal that, although the fluid velocity is only depending on the oscillation rate of the plate, the temperature field for all three cases show that the induced heating is dependent on the oscillation rate of the plate, but strongly dependent on the parameters Brinkman number and Prandtl number. All three cases prove that the increasing oscillation rate or Brinkman number and decreasing Prandtl number, when it is less than unity, will significantly increase the temperature field. The present model is applied to the synovial fluid motion in artificial hip implant and results in heat induced by viscous dissipation for the second case shows remarkably close agreement with the experimental literature. |
| first_indexed | 2024-04-11T10:59:52Z |
| format | Article |
| id | doaj.art-a4c98888963c42beac62c6f880c4cbbb |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T10:59:52Z |
| publishDate | 2018-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-a4c98888963c42beac62c6f880c4cbbb2022-12-22T04:28:38ZengMDPI AGSymmetry2073-89942018-10-01101049910.3390/sym10100499sym10100499Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a MicrochannelChih Ping Tso0Chee Hao Hor1Gooi Mee Chen2Chee Kuang Kok3Multimedia University, Faculty of Engineering and Technology, Jalan Ayer Keroh Lama, Melaka 75450, MalaysiaMultimedia University, Faculty of Engineering and Technology, Jalan Ayer Keroh Lama, Melaka 75450, MalaysiaMultimedia University, Faculty of Engineering and Technology, Jalan Ayer Keroh Lama, Melaka 75450, MalaysiaMultimedia University, Faculty of Engineering and Technology, Jalan Ayer Keroh Lama, Melaka 75450, MalaysiaThe heat induced by viscous dissipation in a microchannel fluid, due to a small oscillating motion of the lower plate, is investigated for the first time. The methodology is by applying the momentum and energy equations and solving them for three cases of standard thermal boundary conditions. The first two cases involve symmetric boundary conditions of constant surface temperature on both plates and both plates insulated, respectively. The third case has the asymmetric conditions that the lower plate is insulated while the upper plate is maintained at constant temperature. Results reveal that, although the fluid velocity is only depending on the oscillation rate of the plate, the temperature field for all three cases show that the induced heating is dependent on the oscillation rate of the plate, but strongly dependent on the parameters Brinkman number and Prandtl number. All three cases prove that the increasing oscillation rate or Brinkman number and decreasing Prandtl number, when it is less than unity, will significantly increase the temperature field. The present model is applied to the synovial fluid motion in artificial hip implant and results in heat induced by viscous dissipation for the second case shows remarkably close agreement with the experimental literature.http://www.mdpi.com/2073-8994/10/10/499Microchanneloscillating fluid flowviscous dissipationBrinkman numberPrandtl numbersynovial fluid |
| spellingShingle | Chih Ping Tso Chee Hao Hor Gooi Mee Chen Chee Kuang Kok Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel Symmetry Microchannel oscillating fluid flow viscous dissipation Brinkman number Prandtl number synovial fluid |
| title | Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel |
| title_full | Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel |
| title_fullStr | Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel |
| title_full_unstemmed | Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel |
| title_short | Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel |
| title_sort | heat induction by viscous dissipation subjected to symmetric and asymmetric boundary conditions on a small oscillating flow in a microchannel |
| topic | Microchannel oscillating fluid flow viscous dissipation Brinkman number Prandtl number synovial fluid |
| url | http://www.mdpi.com/2073-8994/10/10/499 |
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