OPEN ACCESS
Daltons and Amagats laws (also known as the law of partial pressures and the law of partial vol- umes respectively) are two well-known thermodynamic models describing gas mixtures. Our current research is focused on determining the suitability of these models in predicting effects of shock propa- gation through gas mixtures. Experiments are conducted at the Shock Tube Facility at the University of New Mexico (UNM). The gas mixture used in these experiments consists of approximately 50% sulfur hexafluoride (SF6) and 50% helium (He) by moles. Fast response pressure transducers are used to obtain pressure readings both before and after the shock wave; these data are then used to determine the velocity of the shock wave. Temperature readings are obtained using an ultra-fast mercury cadmium telluride (MCT) infrared (IR) detector, with a response time on the order of nanoseconds. Coupled with a stabilized broadband infrared light source (operating at 1500 K), the detector provides pre- and post- shock line-of-sight readings of average temperature within the shock tube, which are used to determine the speed of sound in the gas mixture. Paired with the velocity of the shock wave, this information allows us to determine the Mach number. These experimental results are compared with theoretical predictions of Daltons and Amagats laws to determine which one is more suitable.
Amagat’s law, compressibility, Dalton’s law, gas mixture, shock waves
[1] Dalton, J., Essay IV. On the expansion of elastic fluids by heat. Memoirs of the Literary and Philosophical Society of Manchester, 5, 1802.
[2] Çengel, Y.A., Cimbala, J.M. & Turner, R.H., Fundamentals of Thermal-Fluid Sciences, chapter 24. McGraw-Hill, New York, New York, 4th edition, 2011.
[3] Ran H. & Mavris, D., Preliminary design of a 2d supersonic inlet to maximize total pressure recovery (volume AIAA 2005-7357). Arlington, Virginia, AIAA 5th Aviation, Technology, Integration, and Operations Conference (ATIO), 2005.
[4] Liang, Z., Curran, T. & Shepherd, J.E., Structural response to detonation loading in 90-degree bend, Springer Berlin Heidelberg, Berlin, Heidelberg, pp. 383–388, 2009.
[5] Woo, K.W. & Yeo, S.I., Dalton’s law vs. Amagat’s law for the mixture of real gases. The SNU Journal of Education Research, pp. 127–134, 2011.
[6] Monje, I.T. & Yoo, J.H., Investigation of Dalton’s law and Amagat’s law for mixtures using shock wave propagation. Arlington, Texas, AIAA Region IV Student Conference, 2016.
[7] Krehl, P.O., History of Shock Waves, Explosions and Impact: A Chronological and Bio- graphical Reference, chapter 3. Springer-Verlag, New York, New York, 2008.
[8] Zucker, R.D. & Biblarz, O., Fundamentals of Gas Dynamics, John Wiley and Sons, Inc., Hoboken, NJ, 2002.
[9] Lagemann, R.T. & Jones, E.A., The infrared spectrum of sulfur hexafluoride. The Journal of Chemical Physics, 19(5), pp. 534–536, 1951. https://doi.org/10.1063/1.1748287