Developing mathematical model of the 3d turbulent flow of combustion products in solid propellant rocket engines

Aeronautical and Space-Rocket Engineering

Thermal engines, electric propulsion and power plants for flying vehicles


DOI: 10.34759/vst-2021-1-107-114

Аuthors

Sotskov I. A.

Machinebuilding Design Bureau”Iskra” named after I.I. Kartukov, 35, Leningradskoe shosse, Moscow, 125284, Russia

e-mail: Ivansotskov@mail.ru

Abstract

The article presents a description of the unsteady turbulent separated incompressible 3D flows of products in solid propellant rocket engines by the Reynolds-averaged Navier-Stokes equations intended for incompressible fluids. It is shown herewith that the differential one-parameter model, proposed by Spalart-Allmaras, as well as the SARC and SALSA models can be employed to perform turbulence simulation of the 3D flow of products in solid propellant rocket engine. These models can be applied for the averaged Navier-Stokes equations closing and simulating the unsteady turbulent separated incompressible 3D product flows in solid propellant rocket motors.

It is necessary to perform calculation of the processes, occurring inside the solid propellant rocket engine, with physical and technical characteristics determining of this engine, associated with the thrust, fuel consumption combustion chamber operation parameters etc., based on the numerical modelling methods application, in the course of the solid propellant engines development and design. Mathematical models were proposed herewith for describing transients with igniter actuation; with warming-up, further ignition and solid propellant burning transients. They describe as well the non-stationary transients from the simple to heterogenic flow, originating due to the movement of air and solid propellant products formed in the combustion chamber of the rocket engine; and those associated with the process of the solid propellant rocket engine plug movement.

Of all types of rocket engines employed as propulsion systems for various purpose aircraft, solid propellant rocket engines, along with the liquid propellant rocket engines, are the most widespread ones. This fact is being confirmed by the widespread application of solid fuel rocket engines as cruising propulsion systems in the objects from operational tactical missiles to launch vehicles of various classes; the solid fuel rocket engines application for braking wasted stages of launch vehicles; as well as for the spacecraft extra acceleration while transitions from transfer orbits to the required final orbits. Besides, the propulsion systems based on solid propellant rocket engines have found wide application as boosters with the purpose of increasing the energy capabilities of launch vehicles and expand the range of target tasks they are solving. The foregoing determines the relevance of the research. This research associates with the modern methodological support development, which includes the problems formulation; creation of mathematical models, algorithms and programs for solving the problems of the initial stage of the objects designing and, in particular, creation of a method for calculating the 3D flow of combustion products in solid fuel rocket engines of promising aircraft devices.

Keywords:

three-dimensional fuel flow, solid-fuel rocket engines, mathematical model of rocket engine

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