SOLUTION OF TRANSIENT HEAT TRANSFER PROBLEMS FOR FLAT PLATES, CYLINDERS, AND SPHERES BY FINITE-DIFFERENCE METHODS WITH APPLICATION TO SURFACE RECESSION
Abstract
Presented in this report are finite-difference heat-transfer equations for transient, radial heat flow in spheres and cylinders and for transient, one-dimensional heat flow in flat plates. The derived equations apply to structures before, during, and after surface recession for all three basic structure configurations and for several generic material skin combinations. For each skin configuration the accuracy of the finite-difference procedure, compared with exact analytical methods, depends on optimum selection of the calculation time increment and the incremental distance between temperature nodes in relation to the material thermal properties and on the closeness of the approximate temperature gradients to the true gradients. In addition to these common criteria, the magnitude of the surface recession rate in relation to the calculation time increment and temperature nodal point distance affects the accuracy of the finite-difference temperature results. When compared with exact solutions applicable to semi-infinite flat plates undergoing surface recession, the calculated finite-difference temperature gradients during recession are very accurate when the amount of material removed during a calculation time increment is equal to or less than one fourth of the selected distance increment between temperature nodes.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1966
- Accession Number
- AD0802187
Entities
People
- R. Eppes Jr.
Organizations
- United States Army Aviation and Missile Command