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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Asako, Yutaka |
| Copyright Year | 2014 |
| Abstract | The energy equation for incompressible flow with the viscous dissipation term is often used for the governing equations of gas flow with low velocity in micro-channels. However, the results which are obtained by solving these equations do not satisfy the first law of the thermodynamics. In the case of ideal gas with low velocity, the inlet and the outlet temperatures of an adiabatic channel are the same based on the first law of the thermodynamics. However, the outlet temperature which is obtained by solving the energy equation for incompressible flow with the viscous dissipation term is higher than the inlet gas temperature, since the viscous dissipation term takes positive value. This inconsistency arose from wrong choice of the relation between the enthalpy and temperature that resulted in neglecting the substantial derivative of pressure term in the energy equation. In this paper the correct energy equation which includes the substantial derivative of pressure term is proposed. Some samples of physically consistent results which are obtained by solving the proposed energy equation are demonstrated. |
| Sponsorship | Fluids Engineering Division |
| File Format | |
| ISBN | 9780791846278 |
| DOI | 10.1115/ICNMM2014-21415 |
| Volume Number | ASME 2014 12th International Conference on Nanochannels, Microchannels and Minichannels |
| Conference Proceedings | ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels collocated with the ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting |
| Language | English |
| Publisher Date | 2014-08-03 |
| Publisher Place | Chicago, Illinois, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Thermodynamics Temperature Gas flow Energy dissipation Enthalpy Flow (dynamics) Pressure Microchannels |
| Content Type | Text |
| Resource Type | Article |
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