Abstract
It is often necessary to vent an enclosure to allow a controlled depressurization when it is exposed to a decreasing external pressure. This paper derives analytical expressions that can be used to estimate this depressurization. These analytical expressions allow the design of enclosures intended for space launch and other applications. The analytical solutions are compared to numerical solutions and validated by a series of experiments which demonstrate their accuracy.
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Abbreviations
- A :
-
Vent area (m2)
- B :
-
Constant defined in Eq. 4
- k :
-
Polytropic constant
- P :
-
Pressure (Pa)
- R :
-
Perfect gas constant (J/kgmole/K)
- T :
-
Absolute gas temperature (K)
- t :
-
Time (s)
- V :
-
Enclosure volume (m3)
- v :
-
Gas velocity (m/s)
- α:
-
Time constant defined in Eq. 7 (s)
- δ:
-
Perturbation function defined in Eq. 4 (Pa)
- ε:
-
Time constant defined in Eq. 21 (s)
- γ:
-
Ratio of gas specific heats
- ρ:
-
Gas density (kg/m3)
- ξ:
-
Pressure loss coefficient
References
NASA SP-8060, NASA Space Vehicle Design Criteria: Compartment Venting, National Aeronautics and Space Administration, Nov. 1970. http://trs.nis.nasa.gov/archive/00000087/01/sp8060.pdf
Mehta, R.C.: Quasi-one-dimensional numerical analysis of payload venting of satellite launch vehicle. J. Spacecr. Rocket. 45(2), 412–414 (2008)
Sanz-Andres, A., Santiago-Prowald, J., Ayuso-Barea, A.: Spacecraft launch depressurization loads. J. Spacecr. Rocket. 34(6), 805–810 (1997)
Scialdone, J.J.: Spacecraft compartment venting. Proc. SPIE, SPIE 3427, 23–27 (1998)
Scialdone, J.J.: Preventing damaging pressure gradients at the walls of an inflatable space system. Proc. SPIE 4096, 77–81 (2000)
Vijker, J.J.: Spacecraft structures, p. 448. Springer, Berlin (2008) (ISBN 978-3-540-75552-4)
Acknowledgments
Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under contract DE-AC04-94AL85000.
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Dykhuizen, R.C., Gill, W. & Bruskas, L.A. Depressurization solutions of vented enclosures during launch. CEAS Space J 3, 7–12 (2012). https://doi.org/10.1007/s12567-011-0022-x
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DOI: https://doi.org/10.1007/s12567-011-0022-x