scholarly journals A cooling process according to two-temperature theory of heat conduction

1974 ◽  
Vol 45 (1) ◽  
pp. 23-31 ◽  
Author(s):  
Tsuan Wu Ting
2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Anan Suebsomran ◽  
Suthep Butdee

This research aims to achieving the effective cooling parameter on the runout table (ROT) of strip steel in hot rolling process. The 2-dimensional transient heat conduction is developed including the external force convection and heat source due to translational motion. The material property, boundary, and initial condition are defined and bounded to model geometry. The strip velocity, cooling water temperature, and external fluid velocity are chosen for the influent parameters during cooling process at ROT. To find the optimality of cooling operating requirement, simulation study is conducted throughout this research. To reach the objective of optimal cooling consumption at ROT, temperature distribution in the strip steel during cooling governs by the form of heat transfer equation. To solve 2-dimensional transient heat conduction by numerical methods, the backward difference formula (BDF) applies to discretization of partial differentiation equation (PDE). The parallel sparse direct linear solver (PARDISO) and conjugate gradients method are comparatively applied to computation in linear algebraic equation. The simulation studies are divided into 12 case studies with three variations subjected to cooling conditions at ROT. From simulation results, the range of such three variations can be identified in relation to economic cooling system and desired quality of products.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ruth Estephania Gonzalez-Narvaez ◽  
Mariano López de Haro ◽  
Federico Vázquez

Abstract A non-Fourier thermal transport regime characterizes the heat conduction in solids with internal structure. Several thermodynamic theories attempt to explain the separation from the Fourier regime in such kind of systems. Here we develop a two-temperature model to describe the non-Fourier regime from the principles of non-equilibrium thermodynamics. The basic assumption is the existence of two well-separated length scales in the system, namely, one related with the matrix dimension (bulk) and the other with the characteristic length of the internal structure. Two Fourier type coupled transport equations are obtained for the temperatures which describe the heat conduction in each of the length scales. Recent experimental results from several groups on the thermal response of different structured materials are satisfactorily reproduced by using the coupling parameter as a fitting parameter. The similarities and differences of the present formalism with other theories are discussed.


1985 ◽  
Vol 19 (1) ◽  
pp. 3-8 ◽  
Author(s):  
T. K. Bose ◽  
D. Kannappan ◽  
R. V. Seeniraj

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