Heat Induction by Viscous Dissipation Subjected to Symmetric and Asymmetric Boundary Conditions on a Small Oscillating Flow in a Microchannel
| Autor: | C.K. Kok, Gooi Mee Chen, Chee Hao Hor, Chih Ping Tso |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Materials science
oscillating fluid flow Physics and Astronomy (miscellaneous) Field (physics) Prandtl number 020209 energy General Mathematics 02 engineering and technology Physics::Fluid Dynamics symbols.namesake synovial fluid 0203 mechanical engineering 0202 electrical engineering electronic engineering information engineering Computer Science (miscellaneous) Boundary value problem Brinkman number Microchannel Oscillation lcsh:Mathematics Mechanics lcsh:QA1-939 viscous dissipation 020303 mechanical engineering & transports Flow velocity Chemistry (miscellaneous) symbols Constant (mathematics) |
| Zdroj: | Symmetry, Vol 10, Iss 10, p 499 (2018) Symmetry Volume 10 Issue 10 |
| ISSN: | 2073-8994 |
| DOI: | 10.3390/sym10100499 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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