Abstract
Development of new techniques for detection of CO2 gas is significant for decrease the dangers of CO2. In this research, numerical simulations are performed to evaluate the performance of a new micro gas sensor (MIKRA) for the detection of CO2 gas. This device works due to temperature difference inside a rectangular enclosure with heat and cold arms as the non-isothermal walls at low pressure condition. In this study, the pressure of CO2 is varied from 62 to 1500 Pa correspond to Knudsen number from 0.1 to 4.5 to investigate all characteristics of the thermal-driven force inside the MEMS sensor. In order to simulate a rarefied gas inside the micro gas detector, Boltzmann equations are applied to obtain high precision results. To solve these equations, Direct Simulation Monte Carlo (DSMC) approach is used as a robust method for the non-equilibrium flow field. Our findings show that value of generated Knudsen force significantly different when the fraction of CO2 in N2–CO2 mixtures is varied. This indicates that this micro gas sensor could precisely detect the concentration of CO2 gas in a low-pressure environment. In addition, the obtained results demonstrate that the mechanism of force generation highly varies in the different pressure conditions.
Similar content being viewed by others
References
M. B. Gerdroodbary, D.D. Ganji, M. Taeibi–Rahni, S.Vakilipour, R. Moradi, “Application of direct simulation Monte Carlo for development of micro gas sensor,” Bulgarian Chemical Communications 50 (2), 298–305 (2018).
M. B. Gerdroodbary, D. D. Ganji, I. Shiryanpour, R. Moradi, “Mass analysis of CH4/SO2 gas mixture by low–pressure MEMS gas sensor,” Journal of Natural Gas Science and Engineering 53, 317–328 (2018).
V. S. Galkin, M. N. Kogan, and O. G. Fridlender, “Some kinetic effects in continuum flows,” Fluid Dynamics 5 (3), 364–371 (1970).
V. S. Galkin, M. N. Kogan, and O. G. Fridlender, “Free convection in a gas in the absence of external forces,” Fluid Dynamics 6 (3), 448–457 (1971).
V. Alexandrov, A. Boris, O. Freedlender, M. Kogan, Yu Nikolsky, and V. Perminov, “Thermal stress effect and its experimental detection,” In Rarefied Gas Dynamics: Proc. 20th Intern. Symp., Beijing, 1997. P. 79
V. Yu. Alexandrov, O. G. Friedlander, and Y. V. Nikolsky, “Numerical and experimental investigations of thermal stress effect on nonlinear thermomolecular pressure difference,” In AIP Conference Proceedings, AIP 663 (1), 250–257 (2003).
J. C. Maxwell, “On stresses in rarified gases arising from inequalities of temperature,” Philos. Trans. R. Soc. London 27, 231–256 (1879).
O. Reynolds, “On the forces caused by the communication of heat between a surface and a gas; and on a new photometer,” Philos. Trans. R. Soc. London 166, 725–735 (1876).
A. Einstein, “Theory of radiometer energy source,” Z. Phys. 27, 1–6 (1924).
A. Ketsdever, N. Gimelshein, S. Gimelshein, and N. Selden, “Radiometric phenomena: From the 19th to the 21st century,” Vacuum 86, 1644–1662 (2012).
M. B. Gerdroodbary, M. Mosavat, D. D. Ganji, M. Taeibi–Rahni, and R. Moradi, Application of molecular force for mass analysis of Krypton/Xenonmixture in low–pressureMEMSgas sensor,Vaccum150, 207–215 (2018).
M. B. Gerdroodbary, A. Anazadehseyed, A. Hassanvand, and R. Moradi, “Calibration of lowpressureMEMS gas sensor for detection of hydrogen gas,” Int. J. Hydrog. Engy. 43 (11), 5770–5782 (2018).
M. B. Gerdroodbary, D. D. Ganji, M. Taeibi–Rahni, and Shidvash Vakilipour, “Effect of geometrical parameters on radiometric force in low–pressure MEMS gas actuator,” Microsystem Technologies 24 (5), 2189–2198 (2018).
V. Kaajakari and A. Lal, “Thermokinetic actuation for batch assembly of microscale hinged structures,” J. Microelectromech. Syst. 12, 425–432 (2003).
A. D. Strongrich, W. J. O’Neill, A. G. Cofer, and A. A. Alexeenko, “Experimental measurements and numerical simulations of the Knudsen force on a non–uniformly heated beam,” Vacuum 109, 405–416 (2014).
A. Strongrich and A. Alexeenko, “Microstructure actuation and gas sensing by the Knudsen thermal force,” Applied Physics Letters 107, 193508 (2015).
A. D. Strongrich, A. J. Pikus, I. B. Sebastiao, D. Peroulis, and A. A. Alexeenko, “Low–pressure gas sensor exploiting the knudsen thermal force: Dsmc modeling and experimental validation,” in 2016 IEEE 29th International Conference onMicro Electro Mechanical Systems (MEMS) (IEEE, 2016), pp. 828–831.
Manuel Vargas, Giorgos Tatsios, Dimitris Valougeorgis, and Stefan Stefanov, Rarefied gas flow in a rectangular enclosure induced by non–isothermal walls, Physics of Fluids 26, 057101 (2014)
R. W. Bosworth, A. L. Ventura, A. D. Ketsdever, and S. F. Gimelshein, “Measurement of negative thermophoretic force,” Journal of Fluid Mechanics 805, 207–221 (2016).
A. Ventura, N. Gimelshein, S. Gimelshein, and A. Ketsdever, “Effect of vane thickness on radiometric force,” Journal of Fluid Mechanics 735, 684–704 (2013).
D. Bond, M. J. Goldsworthy, and V. Wheatley, “Numerical investigation of the heat andmass transfer analogy in rarefied gas flows,” International Journal of Heat and Mass Transfer 85, 971–986 (2015).
D. M. Bond, V. Wheatley, and M. Goldsworthy, “Numerical investigation of curved channel Knudsen pump performance,” International Journal of Heat and Mass Transfer 76, 1–15 (2014).
Mojtaba Balaj, Ehsan Roohi, and Hassan Akhlaghi, “Effects of shear work on non–equilibrium heat transfer characteristics of rarefied gas flows through micro/nanochannels,” International Journal of Heat and Mass Transfer 83, 69–74 (2015).
X. Guo, D. Singh, J. Murthy, and A. A. Alexeenko, “Numerical simulation of gas–phonon coupling in thermal transpiration flows,” Physical Review E 80 (4), 046310.
M. B. Gerdroodbary, D. D. Ganji, M. Taeibi–Rahni, and S. Vakilipour, “Effect of Knudsen thermal force on the performance of low–pressure micro gas sensor,” The European Physical Journal Plus 132 (7), 315 (2017).
J. Nabeth, S. Chigullapalli, and A. A. Alexeenko, “Quantifying the Knudsen force on heated microbeams: A compact model and direct comparison with measurements,” Physical Review E 83 (6), 066306.
G. A. Bird, Molecular gas dynamics and the direct simulation of gas flows (Clarendon Press, Oxford, 1994).
OpenFOAM: the Open Source CFD Toolbox, user Guide, Version 1.6 (2009).
M. B. Gerdroodbary, M. Barzegar, Y. Amini, D. D. Ganji, and M. R. Takam, “The flow feature of transverse hydrogen jet in presence of micro air jets in supersonic flow,” Advances in Space Research 59, 1330–1340 (2017).
M. B. Gerdroodbary, M. Barzegar, D. D. Ganji, and Y. Amini, “Numerical study of shock wave interaction on transverse jets through multiport injector arrays in supersonic crossflow,” Acta Astronautica 115, 422–433 (2015)
M. B. Gerdroodbary, M. Barzegar, M. R. Takami, H. R. Heidari, K. Fallah, and D. D. Ganji, “Comparison of the single/multi transverse jets under the influence of shock wave in supersonic crossflow,” Acta Astronautica 123, 283–291 (2016).
M. B. Gerdroodbary, M Barzegar, K. Fallah, and H. Pourmirzaagha, “Characteristics of transverse hydrogen jet in presence ofmulti air jetswithin scramjet combustor,” Acta Astronautica 132, 25–32 (2017).
S. V. Mousavi, M. B. Gerdroodbary, M. Sheikholeslami, and D. D. Ganji, “The influence of a magnetic field on the heat transfer of a magnetic nanofluid in a sinusoidal channel,” The European Physical Journal Plus 131, 347 (2016).
M. B. Gerdroodbary, M. Mokhtari, Sh. Bishehsari, and K. Fallah, “Mitigation of Ammonia Dispersion with Mesh Barrier under Various Atmospheric Stability Conditions,” Asian Journal of Atmospheric Environment 10, 125–136 (2016).
Taishan Zhu andWenjing Ye,Origin of Knudsen forces on heated microbeams, Physical Review E 82, 036308 (2010).
Taishan Zhu, Wenjing Ye, and Jun Zhang, Negative Knudsen force on heated microbeams, Physical Review E 84, 056316 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M. Barzegar Gerdroodbary, D.D. Ganji, R. Moradi, Ali Abdollahi, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2018, No. 6, pp. 94–104.
Rights and permissions
About this article
Cite this article
Barzegar Gerdroodbary, M., Ganji, D.D., Moradi, R. et al. Application of Knudsen Thermal Force for Detection of CO2 in Low-Pressure Micro Gas Sensor. Fluid Dyn 53, 812–823 (2018). https://doi.org/10.1134/S0015462818060149
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462818060149