Transient Heat Transfer in Solids

Author: McDowell, Edward Rae Held

Year: 1964

Degree: Dissertation (Ph.D.)

Advisor: Longwell, Paul A.

Committee Member: Unknown, Unknown

Option: Chemical Engineering

Abstract

The accuracy of approximate calculations of transient temperature distributions in solids is studied, emphasizing easily applied methods for both irregular and regular solids with a heat-transfer coefficient boundary condition. General stability criteria are shown which are easily found and used, and which apply for regular or asymmetric networks.

Analytic solutions of the one-dimensional partial difference equation are found by z-transforms. A. method with points located half an increment inside the surface gives the most accurate solutions. A graphical method is shown analytically to give approximations of engineering accuracy. A procedure is also presented for finding the differencing parameters which give a solution of a specified accuracy with the minimum calculations.

Transient temperature distributions of satisfactory accuracy can be calculated for irregular solids using a relatively coarse network, by locating points that describe the boundary a short distance within, rather than on, the boundary, and by making the interior network as regular as possible.

Files

McDowell_erh_1964_Backmatter.pdf (application/pdf)
McDowell_erh_1964_Chapter1.pdf (application/pdf)
McDowell_erh_1964_Chapter2.pdf (application/pdf)
McDowell_erh_1964_Chapter3.pdf (application/pdf)
McDowell_erh_1964_Chapter4_Part1.pdf (application/pdf)
McDowell_erh_1964_Chapter4_Part2.pdf (application/pdf)
McDowell_erh_1964_Chapter4_Part3.pdf (application/pdf)
McDowell_erh_1964_Chapter5_Part1.pdf (application/pdf)
McDowell_erh_1964_Chapter5_Part2.pdf (application/pdf)
McDowell_erh_1964_Frontmatter.pdf (application/pdf)
McDowell_erh_1964_full.pdf (application/pdf)