Accession Number : AD0895221

Title :   On the Problem of Heat Conduction in the Finite Wedge of an Angle, in the Case of Radiation at the Bounding Planes,

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : Lowan, Arnold N.

Report Date : 23 APR 1951

Pagination or Media Count : 10

Abstract : This paper deals with the problem of heat conduction in the wedge of an angle bounded by a circular cylinder when the bounding planes radiate into a medium at 0 C while the cylindrical surface is kept at 0 C. No classical solution of this problem exists. The final solution derived here is expressed as an infinite series whose terms do not individually satisfy the differential equation of heat conduction or the prescribed boundary conditions. The method of solution is based on the expansion of the components of arbitrary Hilbert vectors in terms of the components of an infinite sequence of suitably orthornormalized Hilbert vectors. (See also AD-895 217).

Descriptors :   *CYLINDRICAL BODIES), (*WEDGES, CONDUCTION(HEAT TRANSFER)), (*CONDUCTION(HEAT TRANSFER), HILBERT SPACE, THERMAL RADIATION, SURFACES, HEAT TRANSFER, SURFACE TEMPERATURE, SERIES(MATHEMATICS), SEQUENCES(MATHEMATICS), TEMPERATURE, PARTIAL DIFFERENTIAL EQUATIONS, VECTOR ANALYSIS, DIFFERENTIAL EQUATIONS.

Subject Categories : Theoretical Mathematics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE