- Shi, X. and Knio, O. M. and Katz, J., Numerical study of shear-induced heating in high-speed nozzle flow of liquid monopropellant,
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, vol. 120 no. 1
pp. 58--64 .
(last updated on 2011/07/05)
A numerical study is performed which focuses on peak temperatures experienced by a liquid monopropellant during high-speed injection in a small-diameter nozzle. Attention is focused on short-duration injection during which the nozzle wall boundary layer is predominantly laminar. An unsteady ID analysis of the temperature distribution associated with sudden fluid acceleration over a fiat insulated boundary is I first conducted. Expressions are provided which relate the normalized peak wall temperature to the prevailing Eckert and Prandtl numbers. Results reveal a quadratic dependence of the normalized wall temperature on impulse velocity, and a nonlinear variation with Prandtl number. Next, simulation of high-speed flow in an axisymmetric nozzle is performed. The numerical schemes are based on finite-difference discretization of a vorticity-based formulation of the mass, momentum, and energy conservation equations. Implementation of the numerical schemes to flow Of LP 1846 in a 4 mm diameter nozzle indicates that preignition is likely to occur for velocities higher than 200 m/s. The effects of wall hear transfer and temperature-dependent properties are also discussed.