Cooling of a composite slab
- 28 Downloads
A mixed boundary value problem associated with the diffusion equation, that involves the physical problem of cooling of an infinite parallel-sided composite slab, is solved completely by using the Wiener-Hopf technique. An analytical expression is derived for the sputtering temperature at the quench front being created by a cold fluid moving on the upper surface of the slab at a constant speed v. The dependence of the various configurational parameters of the problem under consideration, on the sputtering temperature, is rather complicated and representative tables of numerical values of this important physical quantity are prepared for certain typical values of these parameters. Asymptotic results in their most simplified forms are also obtained when (i) the ratio of the thicknesses of the two materials comprising the slab is very much smaller than unity, and (ii) the quench-front speed v is very large, keeping the other parameters fixed, in both the cases.
Unable to display preview. Download preview PDF.
- R.E. Caflisch and J.B. Keller, Quench Front Propagation, Nuclear Engineering and Design 65 (1981) 97–102.Google Scholar
- A. Chakrabarti, The sputtering temperature of a cooling cylindrical rod with an insulated core, Applied Scientific Research 43 (1986) 107–113.Google Scholar
- D.V. Evans, A note on the cooling of a Cylinder Entering a Fluid IMA Journal of Applied Mathematics 33 (1984) 49–54.Google Scholar
- D.S. Jones, Theory of Electromagnetism Pergamon, (1964).Google Scholar
- D.S. Jones, Methods in Electromagnetic Wave Propagation, Clarendon: Oxford.Google Scholar
- H. Levine, On a mixed boundary value problem of diffusion type Applied Scientific Research 39 (1982) 261–276.Google Scholar
- B. Noble, Methods based on the Wiener-Hopf Technique, Pergamon, (1958).Google Scholar