Heat transfer in composite media subject to distributed sources, and time-dependent discrete sources and surroundings

✍ Scribed by M.H. Cobble

• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 615 KB
• Volume: 290
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(70)90005-0

✦ Synopsis

The equation for the temperature distribution in each of k sections of a composite is solved. The composite consists of k discrete plates, cylinders or spheres, each of different material solidly joined at their k-1 interfaces. The composite media have distributed sources, and also have k -1 discrete sources at the interfaces. The composite media additionally have an arbitrary initial temperature distribution, and are exchanging heat at their mutual external boundaries with two different, arbitrary time-dependent surroundings through two different arbitrary constant $lm coeflcienta. The solution is obtained by means of a aubatitution that reduces the problem to that of solving a partial differential equation with homogeneous external boundary conditions. The solution ia$nally developed by means of a Vodicka type of orthogonality relationship.