In this paper we consider the problem of mathematical modeling of fluid flow in the vertical channel of fuel management system. The system has a vertical measuring channel with sensors inside the channel for fixing the free surface level of fluid in the channel. By lowering the level of fuel in the tank fuel level decreases in the channel. When the level of fuel in the channel reaches the sensor, the sensor activation occurs. Thus, the level of fuel in the channel determining fuel level in the tank. Fluid flow in the vertical measuring channel describes by non-stationary equation of motion of parabolic type. For dynamic modeling used a viscous incompressible fluid. The fluid flow is called non-stationary parabolic equation of motion for the cylindrical channel. We got an approximate solution of the problem by averaging the terms of the equation of motion for the channel radius. The solution of the differential equation is satisfied in the package Mathcad applications. Graphs of displacement and velocity of the free surface of fuel in the measuring channel are represented over time. Measurement error of liquid level in the fuel tank has been determined. It is proposed engineering solution to eliminate error of the fuel level measurement.
| Published in | American Journal of Aerospace Engineering (Volume 3, Issue 1) |
| DOI | 10.11648/j.ajae.20160301.11 |
| Page(s) | 1-5 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Viscous Liquid, Unsteady Flow, Liquid Level, Cylindrical Channel, Vibration, Measuring Error
| [1] | Slezkin N. A. Dynamics of viscous incompressible fluid / A. T. Slezkin. M.: Gostekhizdat, 1955. 520 pp. (in Russ.) |
| [2] | Loytsyansky L.G. Fluid Mechanics. M. Science, 1970. 904 pp. (in Russ.) |
| [3] | Popov D. N. Unsteady hydromechanical processes. M. G. Machinery, 1982. 240 pp. (in Russ.) |
| [4] | Babe G. D., Bondarev E. A., Voevodin A. F., Kanibolotsky M. A. Identification of hydraulic models. Novosibirsk. Science. 1980, 160 pp. (in Russ.) |
| [5] | Ozawa, K., Shimada, T. Flight performance simulations of vertical launched sounding rockets using altering-intensity swirling-oxidizer-flow-type hybrid motors. 51st AIAA/SAE/ASEE Joint Propulsion Conference. 2015. Orlando, United States. 2015, 21 p. |
| [6] | Liu, Z., Feng, Q. Numerical analysis of gas pulsation attenuation characteristics of a perforated tube in a reciprocating compressor piping system. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy. V. 230, Issue 1, 1 February 2016, pp. 99-111. |
| [7] | Majd, A., Ahmadi, A. Keramat, A. Investigation of non-Newtonian fluid effects during transient flows in a pipeline. Strojniski Vestnik/Journal of Mechanical Engineering. V. 62, Issue 2, 2016, pp. 105-115. |
| [8] | Wang, C., Yang, J. D. Water hammer simulation using explicit-implicit coupling methods. Journal of Hydraulic Engineering. V. 141, Issue 4. Article number 04014086. |
| [9] | Avramenko, A. A., Tyrinov, A. I., Shevchuk, I. V. An analytical and numerical study on the start-up flow of slightly rarefied gases in a parallel-plate channel and a pipe. Physics of Fluids. V. 27, Issue 4, 2015, Article number 1.4916621. |
| [10] | Noorani, A., Schlatter, P. Evidence of sublaminar drag naturally occurring in a curved pipe. Physics of Fluids V. 27, Issue 3. 2015, Article number 1.4913850. |
| [11] | Jafari Behbahani, T., Dahaghin, A., Behbahani, Z. J. Modeling of Flow of Crude Oil in a Circular Pipe Driven by Periodic Pressure Variations. Energy Sources, Part A: Recovery, Utilization and Environmental Effects. V. 37, Issue 13, 2015, pp. 1406-1414. |
| [12] | Simão, M., Mora-Rodriguez, J., Ramos, H. M. Mechanical interaction in pressurized pipe systems: Experiments and numerical models. Water (Switzerland). V.7, Issue 11, 2015, pp. 6321-6350. |
| [13] | Korade, I , Virag, Z., Šavar, M. Numerical simulation of one-dimensional flow in elastic and viscoelastic branching tube. 11th World Congress on Computational Mechanics, WCCM 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. 2014, pp. 7124-7131. |
APA Style
N. I. Klyuev. (2016). Measurement of the Liquid Level in the Fuel Tank of Rocket. American Journal of Aerospace Engineering, 3(1), 1-5. https://doi.org/10.11648/j.ajae.20160301.11
ACS Style
N. I. Klyuev. Measurement of the Liquid Level in the Fuel Tank of Rocket. Am. J. Aerosp. Eng. 2016, 3(1), 1-5. doi: 10.11648/j.ajae.20160301.11
AMA Style
N. I. Klyuev. Measurement of the Liquid Level in the Fuel Tank of Rocket. Am J Aerosp Eng. 2016;3(1):1-5. doi: 10.11648/j.ajae.20160301.11
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ajae.20160301.11,
author = {N. I. Klyuev},
title = {Measurement of the Liquid Level in the Fuel Tank of Rocket},
journal = {American Journal of Aerospace Engineering},
volume = {3},
number = {1},
pages = {1-5},
doi = {10.11648/j.ajae.20160301.11},
url = {https://doi.org/10.11648/j.ajae.20160301.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajae.20160301.11},
abstract = {In this paper we consider the problem of mathematical modeling of fluid flow in the vertical channel of fuel management system. The system has a vertical measuring channel with sensors inside the channel for fixing the free surface level of fluid in the channel. By lowering the level of fuel in the tank fuel level decreases in the channel. When the level of fuel in the channel reaches the sensor, the sensor activation occurs. Thus, the level of fuel in the channel determining fuel level in the tank. Fluid flow in the vertical measuring channel describes by non-stationary equation of motion of parabolic type. For dynamic modeling used a viscous incompressible fluid. The fluid flow is called non-stationary parabolic equation of motion for the cylindrical channel. We got an approximate solution of the problem by averaging the terms of the equation of motion for the channel radius. The solution of the differential equation is satisfied in the package Mathcad applications. Graphs of displacement and velocity of the free surface of fuel in the measuring channel are represented over time. Measurement error of liquid level in the fuel tank has been determined. It is proposed engineering solution to eliminate error of the fuel level measurement.},
year = {2016}
}
TY - JOUR T1 - Measurement of the Liquid Level in the Fuel Tank of Rocket AU - N. I. Klyuev Y1 - 2016/04/06 PY - 2016 N1 - https://doi.org/10.11648/j.ajae.20160301.11 DO - 10.11648/j.ajae.20160301.11 T2 - American Journal of Aerospace Engineering JF - American Journal of Aerospace Engineering JO - American Journal of Aerospace Engineering SP - 1 EP - 5 PB - Science Publishing Group SN - 2376-4821 UR - https://doi.org/10.11648/j.ajae.20160301.11 AB - In this paper we consider the problem of mathematical modeling of fluid flow in the vertical channel of fuel management system. The system has a vertical measuring channel with sensors inside the channel for fixing the free surface level of fluid in the channel. By lowering the level of fuel in the tank fuel level decreases in the channel. When the level of fuel in the channel reaches the sensor, the sensor activation occurs. Thus, the level of fuel in the channel determining fuel level in the tank. Fluid flow in the vertical measuring channel describes by non-stationary equation of motion of parabolic type. For dynamic modeling used a viscous incompressible fluid. The fluid flow is called non-stationary parabolic equation of motion for the cylindrical channel. We got an approximate solution of the problem by averaging the terms of the equation of motion for the channel radius. The solution of the differential equation is satisfied in the package Mathcad applications. Graphs of displacement and velocity of the free surface of fuel in the measuring channel are represented over time. Measurement error of liquid level in the fuel tank has been determined. It is proposed engineering solution to eliminate error of the fuel level measurement. VL - 3 IS - 1 ER -
Email: