Aeroacoustic Instability in Rockets

Viscous Mean Flow Approximations for Porous Tubes with Radially Regressing Walls

“…This may be owed to its association with several studies involving hydrodynamic instability [23][24][25][26][27][28], acoustic instability [29][30][31][32][33][34][35], wave propagation [36][37][38][39], particle-mean flow interactions [40], and rocket performance measurements [41][42][43]. The Taylor-Culick solution was originally verified to be an adequate representation of the expected flowfield in SRMs both numerically by Sabnis et al [44] and experimentally by Dunlap et al [45,46], thereby confirming its character in a nonreactive chamber environment.…”

Internal Flows Driven by Wall-Normal Injection

“…It is usually referred to as the Taylor-Culick profile and remains one of the most cited models in rocket motor analysis. For example, Chedevergne et al (2006), Abu-Irshaid et al (2007), Griffond et al (2000), Beddini (1986) and Flandro & Majdalani (2003) made extensive use of the Taylor-Culick model as a basis for their instability work.…”

Improved energy normalization function in rocket motor stability calculations

“…(1). By incorporating unsteady rotational terms into the standard energy equation, a higher order model of the progression of internal energy in rocket motors has been recently proposed by Flandro and Majdalani [19]. This energy assessment involves both rotational and irrotational contributions to pressure (p) and velocity (u).…”

“…In the past, several estimates for this function have been provided following Culick [3][4][5][6][7][8][9][10][11][12] and Flandro [13][14][15][16][17][18][19][20]22]. Using recent methodology that takes account of rotational flow elements in the combustion chamber, our aim here is to employ the higher order expressions for the velocity and pressure fields to estimate the energy normalization function.…”

“…Using recent methodology that takes account of rotational flow elements in the combustion chamber, our aim here is to employ the higher order expressions for the velocity and pressure fields to estimate the energy normalization function. The present study will hence incorporate both acoustical and vortical effects, an approach that is becoming well recognized in the propulsion community [19]. Both cylindrical (circular-port) and slab (rectangular-port) chambers will be considered and the most accurate expression for the energy normalization function will be provided for each.…”