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Research Article

Internal Ballistics of a Boron-Containing Solid Fuel Ramjet

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ABSTRACT

The solid fuel ramjet is one of the simplest air-breathing engines, characterized by increased specific impulse. This study focuses on a parametric investigation of the internal ballistics of a boron-containing solid fuel ramjet. A 2-D axisymmetric model of a ramjet combustor flying at Mach 2.5 was developed and solved numerically utilizing a commercial computational fluid dynamics code modified to address the specific issues of the problem. The simulation results were compared to the theoretical performance calculated by the chemical equilibrium code. The solid fuel regression rate was found to depend on the port diameter and thus decreases with time. Thrust regulation of ramjet engine was demonstrated using bypass air. The specific impulse was found to decrease with boron content, probably because of low combustion efficiency caused by either insufficient oxygen supply or short residence time of the boron particles.

Nomenclature

A=

reaction constant or constant

B=

Spalding number or constant

BR=

bypass ratio

CD=

drag coefficient

Cp=

specific heat

d, dp=

diameter, port diameter

D=

diffusion coefficient

E=

energy

Ea=

activation energy

fM=

molten boron mass fraction

F=

force

h, h0=

enthalpy or cell size, enthalpy of formation

Isp=

specific impulse

J=

mass flux

k=

thermal conductivity

LV=

latent heat of vaporization

M=

molar mass

Nu=

Nusselt number

p=

pressure

r=

radial coordinate

RB=

molar rate of boron consumption

RE=

molar evaporation rate of boric oxide

RH=

molar rate of oxide removal by water

R, Ru=

specific gas constant, universal gas constant

Re=

Reynolds number

Sh=

enthalpy source

Sh,chem=

enthalpy source due chemical reaction

Sm=

mass source

Su=

axial momentum source

Sv=

radial momentum source

Sc=

Schmidt number

T=

temperature

u=

axial velocity

v=

radial velocity

x=

axial coordinate

Xi=

molar fraction of species i

Yi=

mass fraction of species i

δ=

boron oxide layer thickness

η=

boron combustion efficiency

μ=

viscosity

ν=

stoichiometric coefficient

ρ=

density

Subscripts

i=

species index

l=

laminar or liquid

p=

particle

s=

surface

t=

turbulent

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