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FROM THE GUEST EDITOR, 2019, ISSUE 3

ABSTRACT
The heat flow is important to describe the complex freezing and heat transfer be-haviors in the biological and mining-rock materials. There are the mathematical models for the heat condition in the different operators (for more details, see [1]), such as Newton-Leibniz calculus, fractional calculus, local fractional calculus (also called the fractal calculus), and general fractional calculus. The heat-condition equation via the Newton-Leibniz calculus was presented in [2, 3]. The fractional-time and/or fractional-space heat-condition equation was discussed in [4, 5]. The local fractional heat-condition equation was given in [6, 7]. The general time-fractional heat-condition equations were suggested in [8, 9]. Due to the complex behaviors of the materials, it is still an open problem for the heat conduction. The fluid-flow is considered to present the process of the fluid dynamics of the liquid and gas in motion. A great many of the PDE in fluid mechanics, such as generalized Kuramoto-Sivashinsky [10], Korteweg-De Vries [11-13], advection-reaction-diffusion [14], Klein-Gordon [15, 16], and Navier-Stokes [17, 18] equations, were discussed based on the differential operators. Moreover, there are some mathematical coupling models for the solid liquid and gas involving the heat and fluid-flow. In view of the investigation, there is an open problem for the linear and non-linear heat and fluid-flow. In the special issue, we mainly considered the advanced computational methods for the linear and non-linear heat and fluid-flow and the topics on the heat-conduction and related problems in the mining-rock materials. We received the 160 manuscripts, and we selected 51 papers for publication as a regular volume. I would like to express thanks for Prof. Dr. Simeon Oka and Dr. Vukman Bakić to support and help to publish the special issue.
PUBLISHED ONLINE: 2019-07-20
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THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE 3, PAGES [0 - 0]
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© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence