Skip to Main Content
Skip Nav Destination

The Monte Carlo Ray-Trace Method in Radiation Heat Transfer and Applied Optics

By
J. Robert Mahan
J. Robert Mahan
Search for other works by this author on:
ISBN:
9781119518518
No. of Pages:
280
Publisher:
ASME Press
Publication date:
2019

The Monte Carlo ray-trace (MCRT) method is based on a probabilistic interpretation of the radiative behavior of surface and volume elements, and the radiation distribution factor is itself a probability. Therefore, the uncertainty of results obtained using the method should be predictable using standard statistical methods. Specifically, we should be able to use statistical inference to state, to a specified level of confidence, the uncertainty of a result obtained. The chapter begins with a brief review of probability and statistics, after which the principles of statistical inference are applied to the MCRT method. Finally, a formal structure is presented for...

7.1
Statement of the Problem
7.2
Statistical Inference
7.3
Hypothesis Testing for Population Means
7.4
Confidence Intervals for Population Proportions
7.5
Effects of Uncertainties in the Enclosure Geometry and Surface Models
7.6
Single-Sample Versus Multiple-Sample Experiments
7.7
Evaluation of Aggravated Uncertainty
7.8
Uncertainty in Temperature and Heat Transfer Results
7.9
Application to the Case of Specified Surface Temperatures
7.10
Experimental Design of MCRT Algorithms
Problems
References
This content is only available via PDF.
You do not currently have access to this chapter.
Close Modal

or Create an Account

Close Modal
Close Modal