Accession Number : AD0005563


Title :   A METHOD FOR THE NUMERICAL SOLUTION OF A HEAT CONDUCTION PROBLEM


Descriptive Note : Research rept.


Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD


Personal Author(s) : Eddy, R P


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/005563.pdf


Report Date : 31 Dec 1952


Pagination or Media Count : 16


Abstract : A method is given for the numerical solution of the partial differential equation governing heat flow in an infinite plate. The solution, obtained with appropriate boundary conditions, permits an estimation of the temperature of the outer shell of a high-velocity projectile during of the variation in thermal properties of steel over the temperature range encountered. At the inner surface, the boundary condition was taken to be that of heat transfer across the surface, the boundary condition took into account heat transfer both by conduction to or from the boundary layer and by radiation into space. An implicit method for numerical integration was used in which the values of the dependent variable on the new time step are expressed in terms of each other and must be obtained by solving a simple system of linear algebraic equations. Round-off errors were damped out regardless of the size of the time step.


Descriptors :   *EXPERIMENTAL DESIGN , *HEAT TRANSFER , PROJECTILES , HIGH VELOCITY , NUMERICAL ANALYSIS , BOUNDARY LAYER , SHELLS(STRUCTURAL FORMS) , STEEL , LINEAR ALGEBRAIC EQUATIONS , TIME , SURFACES , BOUNDARIES , SOLUTIONS(GENERAL) , INTERNAL , NUMERICAL INTEGRATION , EXTERNAL , EQUATIONS , RANGE(EXTREMES) , TEMPERATURE , THERMAL PROPERTIES , ESTIMATES


Subject Categories : Thermodynamics
      Test Facilities, Equipment and Methods


Distribution Statement : APPROVED FOR PUBLIC RELEASE