A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary

作者：Kulish Vladimir; Poletkin Kirill V^*

来源：International Journal of Heat and Mass Transfer, 2012, 55(23-24): 6595-6599.

DOI：10.1016/j.ijheatmasstransfer.2012.06.067

• Ultra-fast heat transfer
• Thermal waves
• Thin films
• Phase lagging

The paper presents generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary. The generalized relation between the local values of temperature and the corresponding heat flux has been achieved by the use of a novel technique that involves generalized derivatives (in particular, derivatives of non-integer orders). Confluent hyper-geometric functions, known as Whittaker%26apos;s functions, appear in the course of the solution procedure, upon applying the Laplace transform to the original transport equation. The relation is written in the integral form and provides a relationship between the local values of the temperature and heat flux.

• 出版日期2012-11
• 单位南阳理工学院