Heat transfer in fractal materials. (February 2016)

• Record Type: Journal Article
• Authors: Tarasov, Vasily E.
• Is Part Of: International journal of heat and mass transfer. Volume 93(2016:Feb.)
• Page Start: 427
• Page End: 430
• Publication Date: 2016-02
• Subjects: Fractal material -- Heat transfer equation -- Steady hast flow -- Non-integer dimensional space; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2015.09.086
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Heat transfer in fractal materials is described by models with non-integer dimensional spaces. Solutions of heat transfer equation of fractal materials are suggested. The steady heat flow in fractal pipe and rod are described. Abstract: Heat transfer in fractal materials is considered in the framework of continuous models with non-integer dimensional spaces. We use a recently proposed vector calculus in non-integer dimensional spaces to describe heat flow in fractal materials. Solutions of the steady heat flow in fractal pipe and rod are derived.