Temperature and moisture distributions in a moist spherical capillary-porous body—a new approach

✍ Scribed by R. N. Pandey; S. K. Pandey; M. D. Mikhailov

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 213 KB
• Volume: 45
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19990520)45:2<125::aid-nme580>3.0.co;2-r

✦ Synopsis

A novel technique, which is a combination of the Laplace transform and matrix calculus, is employed to obtain the exact solutions of the linearized Luikov system of coupled heat and moisture transport equations in a spherical capillary porous body addressed to speciÿed initial and boundary conditions. It is shown that under certain restrictions, in the case of convective-type boundary conditions, the transcendental equation yields a countable number of complex conjugate roots. Here, a new computational scheme is employed, which evaluates real as well as a countable number of pairs of complex conjugate roots. A set of benchmark results is generated for the Luikov drying model, and in a way better than the alternative solutions proposed by Lobo et al. [19] for linear problems.