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Addition of momentum and kinetic energy effects in supersonic compressible flow using pseudo bond graph approach. (English) Zbl 1302.76092
Summary: In most of the papers published on compressible fluid using pseudo the bond graph approach, momentum and kinetic energy effects have been neglected due to low speed. However, in convergent-divergent nozzles that the flow is supersonic, these models will lose their validation. For the purpose of considering kinetic energy in compressible fluid flow, this paper introduces a new field (KE-field) to pseudo bond graph. This field can also be used to extract the momentum equation on the gaseous models. Furthermore, Karnopp’s suggested relation for an isentropic nozzle is developed to a convergent-divergent nozzle. The simulation results show that the thrust force obtained from the simulations has a very good agreement to analytical relationships. Therefore, it suggests that the KE-field can be used for modelling the thrust force. As bond graph method has been implemented in many software applications such as MS1, SYMBOLS2000 and 20SIM$$^{\circledR}$$, the new field can also be used in these software.
Reviewer: Reviewer (Berlin)
##### MSC:
 76J20 Supersonic flows 76N15 Gas dynamics, general
##### Software:
20SIM; SYMBOLS 2000
Full Text:
##### References:
 [1] Mukherjee A., Bond Graph in Modeling, Simulation and Fault Identification (2006) [2] Karnopp D.C., System Dynamics: Modeling and Simulation of Mechatronic Systems,, 2. ed. (2006) [3] Borutzky W., Bond Graph Methodology Development and Analysis of Multidisciplinary Dynamics System Models (2010) [4] Paynter H.M., Analysis and Design of Engineering Systems (1961) [5] Brown F.T., Engineering System Dynamics,, 2. ed. (2006) [6] F.T. Brown,Extension of simulation software for thermodynamic and other systems including energy-based modeling,in 10th International Conference on Bond Graph Modeling and Simulation (ICBGM 2012), Genoa, 8–11 July 2012, pp. 96–104. [7] F.T. Brown,Simulation Software for Thermodynamic Models, Part 2,in 9th International Conference on Bond Graph Modeling and Simulation (ICBGM 2010), Orlando, FL, 11–15 April 2010, pp. 62–68. [8] DOI: 10.1016/j.conengprac.2005.01.004 · doi:10.1016/j.conengprac.2005.01.004 [9] DOI: 10.1016/j.jprocont.2007.12.009 · doi:10.1016/j.jprocont.2007.12.009 [10] DOI: 10.1016/j.simpat.2007.10.002 · Zbl 05725968 · doi:10.1016/j.simpat.2007.10.002 [11] Thoma J.U., Simulation with Entropy in Engineering Thermodynamics (2006) · Zbl 1146.80001 [12] Samantaray A.K., Manual of System Modeling by Bond graph Language Simulation: SYMBOLS Ver 1.0 (1997) [13] DOI: 10.1016/S0928-4869(99)00018-X · doi:10.1016/S0928-4869(99)00018-X [14] Farokhi S., Aircraft Propulsion (2008) [15] Saberski R.H., Fluid Flow (1971) [16] Incropera F.P., Fundamental of Heat and Mass Transfer, 6. ed. (2007) [17] Meriam J.L., Engineering Mechanics Dynamics, 6. ed. (2007) · Zbl 0388.70004 [18] Sutton G.P., Rocket Propulsion Elements: An Introduction to the Engineering of Rockets, 7. ed. (2000)
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