Influence of radial seepage on temperature distribution around a cylindrical cavity in a porous medium

✍ Scribed by Jim Brown; Alan Vardy; Zhaoyang Zeng

• Book ID: 104136485
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 1008 KB
• Volume: 41
• Category: Article
• ISSN: 0017-9310
• DOI: 10.1016/s0017-9310(97)00214-7

✦ Synopsis

Temperature distributions are obtained around a long cylindrical cavity in a permeable medium in the presence of steady radial seepage. Constant temperature and constant heat flux conditions are considered at the cavity surface. Transient solutions are derived as quadratures, yielding closed form solutions for particular seepage rates. Steady states are derived as limiting cases. Small and large time approximations are derived for the cavity temperature and flux. With inward seepage, the thermal radius of influence is restricted and steady state attained more rapidly. For outward seepage, the radius of influence becomes infinite and the steady temperatures uniform.