An Analytical Investigation of the Effects of Flow Property Fluctuations on the Fay-Riddell Equation.
Abstract
The effects of flow property fluctuations on the stagnation point heat transfer rate, as calculated by the Fay-Riddell equation, are investigated. Fluctuations in free stream temperature and density, wall temperature and density, and stagnation pressure are considered. The flow parameter perturbations are included in the Fay-Riddell equation by approximating the heat transfer rate by a Taylor Series truncated to second order and expanded about the mean values of the five independent variables. Taking the time averaged of this expression, the first order terms in the fluctuations drop out, and an expression for the time averaged stagnation point heat transfer rate is obtained. A comparison between the laminar steady flow heat transfer rate and the heat transfer rate with fluctuations shows that neglecting the fluctuations in the five independent variables can lead to errors in the calculated heat transfer rate. Of the five variables considered, the fluctuations of the temperature at the edge of the boundary layer have the greatest effect on the heat transfer rate.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1978
- Accession Number
- ADA056533
Entities
People
- William Humphrey Barnett Jr
Organizations
- Air Force Institute of Technology