## Masters Theses

#### Abstract

"It is the purpose of this thesis to investigate the effects of a variable input heat flux impinging equally on both sides, on the temperature distribution within an infinite plate. An infinite plate may be defined as one in which the dimensions are infinite in two directions and finite in thickness. For practical purposes such a plate could be thought of as one in which the thickness was small enough, compared to the other two dimensions, so that a temperature gradient exists only normal to the surfaces of the plate. This assumption will be made to establish one-dimensional heat flow within the plate. Variable input heat flux means that the heat input may be expressed as some function of time; in this particular problem the function in question will be an exponential function of time.

The subject in question could be of importance in the field of space technology as a body in space is receiving heat and emitting heat in an environment where temperatures have little meaning, due to the absence of matter. Therefore it would be valuable to have a method of predicting temperature distributions in a body as a function of heat input alone.

The study of temperature distributions in plates is important due to the stresses set up by changes in temperature and rates of change in temperature. The solutions to this type of problem at present are, for the most part, based on variable surface temperatures rather than on the premise of the variable external heat flux itself.

In conclusion, then, the problem to be investigated in this thesis is to determine the temperature distribution within an infinite plate as a function of time and the variable external heat flux. The mode of heat transfer to the plate, and the variation in surface temperature as a boundary condition are not required as arguments in this development"--Introduction, pages 1-2.

#### Advisor(s)

Miles, Aaron J.

#### Committee Member(s)

Pauls, Franklin B., 1911-1996

Lee, Ralph E., 1921-2010

Remington, Charles R., 1924-2013

Faucett, T. R.

#### Department(s)

Mechanical and Aerospace Engineering

#### Degree Name

M.S. in Mechanical Engineering

#### Publisher

Missouri School of Mines and Metallurgy

#### Publication Date

1961

#### Pagination

vi, 27 pages

#### Note about bibliography

Includes bibliographical references (pages 26-27).

#### Rights

© 1961 George Franklin Wright, All rights reserved.

#### Document Type

Thesis - Open Access

#### File Type

text

#### Language

English

#### Subject Headings

Heat flux

Heat -- Transmission -- Analysis

Heat -- Transmission -- Mathematical models

#### Thesis Number

T 1297

#### Print OCLC #

5932577

#### Electronic OCLC #

962732758

#### Link to Catalog Record

#### Recommended Citation

Wright, George Franklin, "Temperature distribution in an infinite plate as a function of the input heat flux" (1961). *Masters Theses*. 2793.

https://scholarsmine.mst.edu/masters_theses/2793