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Applied Mathematics and Mechanics

, Volume 22, Issue 4, pp 468–477 | Cite as

Numerical studies on the mixing of CH4 and kerosene injected into a supersonic flow with H2 pilot injection

  • Xu Sheng-li
  • Yue Peng-tao
  • Han Zhao-yuan
Article
  • 43 Downloads

Abstract

Two-fluid model and divisional computation techniques were used. The multispecies gas fully N-S equations were solved by upwind TVD scheme. Liquid phase equations were solved by NND scheme. The phases-interaction ODE equations were solved by 2nd Runge-Kutta approach. The favorable agreement is obtained between computational results and PLIF experimental results of iodized air injected into a supersonic flow. Then, the numerical studies were carried out on the mixing of CH4 and kerosene injected into a supersonic flow with H2 pilot injection. The results indicate that the penetration of kerosene approaches maximum when it is injected from the second injector. But the kerosene is less diffused compared with the gas fuels. The free droplet region appears in the flow field. The mixing mechanism of CH4 with H2 pilot injection is different from that of kerosene. In the staged duct, H2 can be entrained into both recirculation zones produced by the step and injectors. But CH4 can only be carried into the recirculation between the injectors. Therefore, initiations of H2 and CH4 can occur in those regions. The staged duct is better in enhancing mixing and initiation with H2 pilot flame.

Key words

hydrocarbon fuels supersonic flow supersonic combustion numerical simulation 

CLC numbers

O354.3 O359 V211.3 

Nomenclature

ci

Mass fraction

cxi, cyi, czi

Derivatives of gradient ofc i

cp

Constant pressure specific heat

cD

Drag coefficient

d

Droplet diameter

D

Total diffusion coefficient

E

Total energy per unit volume

F

Drag force of droplets

fx,fy,fx

Components ofF

Ĥg, Ĥ1

Source terms of gas and liquid

Le

Lewis number (Le=1)

m

Single droplet mass

ns

Total number of gas species

Nu

Nusselt number

Pr

Prandtl number

Pr1

Laminar Prandtl number

Pr1

Turbulent Prandtl number

q

Heat flux of gas

qx,qy,qz

Components ofq

Qr

Dynamic pressure ratio of jet to mainstream

Re

Slip Reynolds number between gas and droplet

T

Temperature

U1,E1,F1,G1

Liquid flux vector inx, y, z directions

Ug,Eg,Fg,Gg

Gas flux vector inx, y, z directions

u, v, w

Components of velocityV inx, y, z directions

t, x, y, z

Time and coordinates in Cartesian system

ρi

Species density

ϱ

Total density

μ

Viscosity

τ, ξ, η ζ

Time and coordinates in transformed domain

Δτ, Δξ, Δη, Δζ

Time and space steps

1|Superscripts

i

ith species

2|Subscripts

g

Gas phase

l

Liquid phase, laminar flow

t

Turbulent flow

x, y, z

Derivatives respect tox, y, z or inx, y, z direction

i, j, k

node number

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Xu Sheng-li
    • 1
  • Yue Peng-tao
    • 1
  • Han Zhao-yuan
    • 1
  1. 1.Department of Modern MechanicsUniversity of Science and Technology of ChinaHefeiP R China

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