Navier-Stokes analysis of solid propellant rocket motor internal flows

Sabnis, Jayant S.; Gibeling, H. J.; McDonald, H.

doi:10.2514/3.23203

Cited by 107 publications

(25 citation statements)

References 18 publications

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“…Beddini [17] employed a full Reynolds stress turbulence model to analyze the flows in porous channels. Sabnis et al [18] applied a low Reynolds number k-" model to predict the flowfield measured by Dunlap et al [10]. However, Liou and Lien [19] later noted that most of the previous numerical studies with existing turbulence models greatly overpredict turbulence levels.…”

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confidence: 95%

Large Eddy Simulation of Flow Development in Chamber with Surface Mass Injection

Lee

2009

Journal of Propulsion and Power

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Motivated by the recent experimental observation of noticeable features of dimplelike surface roughness patterns on the hybrid fuel grain, the authors investigated a cold flow in a porous chamber with surface mass injection through a large eddy simulation technique. The main purpose is to understand the role of turbulent structures in generating those irregular, isolated roughness patterns found on the fuel surface. It was noted that the structural feature of nearwall coherent vortices has been considerably altered by the application of wall injection, resulting in isolated cell-like contours of streamwise velocity distributed all over the horizontal planes close to the wall. This sudden change of contour shape is reminiscent of the roughness patterns observed in the accompanying experiment. The rapid evolution of the kinematical configuration of near-wall turbulence structures is believed to be caused by the effect of vertical momentum given at the wall as in the regression process. NomenclatureC S = model coefficient for velocity field C T = model coefficient for passive scalar h = half-channel height L x = domain size in streamwise direction L y = domain size in wall-normal direction, 2h L z = domain size in spanwise direction Pr = molecular Prandtl number p = pressure q j = residual scalar flux vector R uu = two point or autocorrelation of streamwise velocity Re h = Reynolds number based on inlet bulk velocity and half-channel height S ij = strain rate tensor, u i;j u j;i =2 T = temperature (passive scalar) T w = wall temperature t = time U b = inlet bulk velocity u = velocity component in x direction v = velocity component in y direction w = velocity component in z direction x = Cartesian coordinate in streamwise direction y = Cartesian coordinate in wall-normal direction z = Cartesian coordinate in spanwise direction t = turbulent diffusivity = filter width ij = Kronecker delta function t = turbulent viscosity ij = residual stress tensor Subscripts b = bulk mean quantity mean = averaged quantity over time and spanwise direction Superscripts h i = grid filter h i t = test filter = fluctuating component due to turbulence

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confidence: 95%

Large Eddy Simulation of Flow Development in Chamber with Surface Mass Injection

Lee

2009

Journal of Propulsion and Power

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“…Most of the earlier numerical works [6][7][8] employed the Reynolds stress or k-ε models to solve the turbulent flow. Their success was somewhat limited due to the restricted capability of the Reynolds Averaged Navier-Stoke (RANS) approach.…”

Section: Introductionmentioning

confidence: 99%

Response of passive scalar to momentum disturbance in a transpired channel with wall injection

Shin

2010

J Mech Sci Technol

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In a transpired channel, the response of turbulent field to the external concentrated momentum forcing was investigated. The flow was characterized by a strong shear layer resulting from the interaction of the main flow with the injected mass at the surface. The time scale of the shedding vortex was imposed on the external disturbance to study the subsequent evolution of the resulting flow near the surface. The imposed time characteristics were persistent in the pressure field, but the amplification of instability was not evident in the present configuration. In contrast with pressure, the effect of external disturbance was not clearly exhibited in the temperature field near the surface. This is considered to be due to the dissimilarity between the turbulent velocity and the temperature fields in the presence of wall injection. Thus, it is expected that the perturbed near-wall heat transfer characteristics should be modeled in a different way from that of the velocity field.

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“…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. It was extended by Majdalani and Akiki [4] to include effects of viscosity and headwall injection, by Saad et al [42] and Sams et al [43] to account for wall taper, by Kurdyumov [47] to capture effects of irregular cross sections, and by Majdalani and Saad [48] to allow for arbitrary headwall injection.…”

Section: Doi: 102514/1j055949mentioning

confidence: 99%

Viscous Mean Flow Approximations for Porous Tubes with Radially Regressing Walls

Saad

Majdalani

2017

AIAA Journal

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The mean gaseous motion in solid rocket motors has been traditionally described using an inviscid solution in a porous tube of fixed radius and uniform wall injection. This model, usually referred to as the Taylor-Culick profile, consists of a rotational solution that captures the bulk gaseous motion in a frictionless rocket chamber. In practice, however, the port radius increases as the propellant burns, thus leading to time-dependent effects on the mean flow. This work considers the related problem in the context of viscous motion in a porous tube and allows the radius to be time dependent. By implementing a similarity transformation in space and time, the incompressible Navier-Stokes equations are first reduced to a nonlinear fourth-order ordinary differential equation with four boundary conditions. This equation is then solved both numerically and asymptotically, using the injection Reynolds number Re and the dimensionless wall regression ratio α as primary and secondary perturbation parameters. In this manner, closedform analytical solutions are obtained for both large and small Reynolds number with small-to-moderate α. The resulting approximations are then compared with the numerical solution obtained for an equivalent third-order ordinary differential equation in which both shooting and the irregular limit that affects the fourth-order formulation are circumvented. This code is found to be capable of producing the stable solutions for this problem over a wide range of Reynolds numbers and wall regression ratios.

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Navier-Stokes analysis of solid propellant rocket motor internal flows

Cited by 107 publications

References 18 publications

Large Eddy Simulation of Flow Development in Chamber with Surface Mass Injection

Large Eddy Simulation of Flow Development in Chamber with Surface Mass Injection

Response of passive scalar to momentum disturbance in a transpired channel with wall injection

Viscous Mean Flow Approximations for Porous Tubes with Radially Regressing Walls

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