# Accession Number:

## ADA179944

# Title:

## An Analytical Method of Non-Gray Three-Dimensional Radiation Heat Transfer in Spray Combustion,

# Descriptive Note:

# Corporate Author:

## RUTGERS - THE STATE UNIV PISCATAWAY NJ DEPT OF MECHANICAL AND AEROSPACE ENGINEERING

# Personal Author(s):

# Report Date:

## 1986-01-01

# Pagination or Media Count:

## 10.0

# Abstract:

A computational study of radiation heat transfer in a combustor having fuel spray combustion is reported in the present paper. When the distribution of radiatively participating species is known in either a normal distribution or an exponential distribution in any direction of cylindrical coordinates with respect to a referenced location, e.g., in a form, F fexp, where f, a, b, and c are distribution constants for individual species, the governing equation of radiation heat transfer without scattering in such a system can be solved with relative ease by using the herein reported method. Several results from the present authors work are explained that are employed for implementing the solution a new coordinate transformation method to find the species distribution along individual optical paths centered at any chosen location in the combustor a new formula for the adiabatic flame temperature in a logarithmic function facilitating solutions for various radiation equations a new inverse error function enabling some exact solution of the governing equation of radiation heat transfer, etc. Keywords Analytical Solution, 3 D Radiation, Computation, Optically Thin, Optically Thick, Species Distribution, Blackbody Radiation Function, Inverse Error Function, Combustors, Fuels, Fuel spray.

# Descriptors:

- *HEAT TRANSFER
- *COMBUSTION
- *FUEL SPRAYS
- *THERMAL RADIATION
- OPTICS
- TEMPERATURE
- DISTRIBUTION
- FORMULATIONS
- PATHS
- COMBUSTORS
- SOLUTIONS(GENERAL)
- CYLINDRICAL BODIES
- CONSTANTS
- COORDINATES
- ERRORS
- INVERSION
- LOGARITHM FUNCTIONS
- FLAMES
- EQUATIONS
- EXPONENTIAL FUNCTIONS
- ADIABATIC CONDITIONS
- SPRAYS
- TRANSFORMATIONS
- ANALYTIC FUNCTIONS
- NORMAL DISTRIBUTION

# Subject Categories:

- Combustion and Ignition
- Thermodynamics