“…This model extends the previous work (Salita, 1989(Salita, & 2001 in a number of important directions. To model various uncontrollable sources of noise (such as cracks and case vibrations) that may become essential in off-nominal conditions and may screen the variation of the system parameters a random component in the propellant density 1+√ ·ξ(t)] is introduced.…”
Section: Internal Ballistics Of the Srmssupporting
confidence: 54%
“…We note that two first equations in (17) correspond to the "filling volume" approximation in (Salita, 1989(Salita, & 2001. The important difference is that we have introduced noise terms and the exact dependence of the burning surface on the burn distance in the form of the design curve relation in the fourth equation in (17).…”
Section: Srm Internal Ballistics In the "Filling Volume" Approximationmentioning
confidence: 99%
“…The internal ballistics of the SRMs in the presence of the fault can be conveniently described by the following set of stochastic partial differential equations representing conservation laws for mass, momentum, and energy of the gas (Sorkin, 2005;Culick & Yang, 1992;Salita, 1989Salita, & 2001 ( ) ( )…”
Section: Internal Ballistics Of the Srmsmentioning
“…This model extends the previous work (Salita, 1989(Salita, & 2001 in a number of important directions. To model various uncontrollable sources of noise (such as cracks and case vibrations) that may become essential in off-nominal conditions and may screen the variation of the system parameters a random component in the propellant density 1+√ ·ξ(t)] is introduced.…”
Section: Internal Ballistics Of the Srmssupporting
confidence: 54%
“…We note that two first equations in (17) correspond to the "filling volume" approximation in (Salita, 1989(Salita, & 2001. The important difference is that we have introduced noise terms and the exact dependence of the burning surface on the burn distance in the form of the design curve relation in the fourth equation in (17).…”
Section: Srm Internal Ballistics In the "Filling Volume" Approximationmentioning
confidence: 99%
“…The internal ballistics of the SRMs in the presence of the fault can be conveniently described by the following set of stochastic partial differential equations representing conservation laws for mass, momentum, and energy of the gas (Sorkin, 2005;Culick & Yang, 1992;Salita, 1989Salita, & 2001 ( ) ( )…”
Section: Internal Ballistics Of the Srmsmentioning
“…Examples range from models from molecular motors [47] to epidemiology [18] and from solid rocket motors [40] to coupled matter radiation systems in astrophysics [14].…”
Section: Dynamical Inference Of Stochastic Nonlinear Modelsmentioning
confidence: 99%
“…To this end we introduce a low-dimensional performance model of SRM in the "filling volume" approximation [39,40]. For a subscale motor the ratio of the gas velocity to the stagnation speed of sound c 0 is small (u 2 /c 0 1) everywhere along the propellant grain.…”
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