scholarly journals Numerical Simulation of One-Dimensional Fractional Nonsteady Heat Transfer Model Based on the Second Kind Chebyshev Wavelet

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Fuqiang Zhao ◽  
Jiaquan Xie ◽  
Qingxue Huang

In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The operational matrix of fractional-order integration is utilized to reduce the original problem to a system of linear algebraic equations, and then the numerical solutions obtained by our method are compared with those obtained by CAS wavelet method. Lastly, illustrated examples are included to demonstrate the validity and applicability of the technique.

2020 ◽  
pp. 146808742092158
Author(s):  
Alberto Broatch ◽  
Pablo Olmeda ◽  
Xandra Margot ◽  
Josep Gomez-Soriano

This article presents a study of the impact on engine efficiency of the heat loss reduction due to in-cylinder coating insulation. A numerical methodology based on one-dimensional heat transfer model is developed. Since there is no analytic solution for engines, the one-dimensional model was validated with the results of a simple “equivalent” problem, and then applied to different engine boundary conditions. Later on, the analysis of the effect of different coating properties on the heat transfer using the simplified one-dimensional heat transfer model is performed. After that, the model is coupled with a complete virtual engine that includes both thermodynamic and thermal modeling. Next, the thermal flows across the cylinder parts coated with the insulation material (piston and cylinder head) are predicted and the effect of the coating on engine indicated efficiency is analyzed in detail. The results show the gain limits, in terms of engine efficiency, that may be obtained with advanced coating solutions.


2017 ◽  
Vol 139 ◽  
pp. 49-54 ◽  
Author(s):  
Lahoucine Ouhsaine ◽  
Yassine Boukal ◽  
Mohammed El Ganaoui ◽  
Mohammed Darouach ◽  
Michel Zasadzinski ◽  
...  

Author(s):  
Matthew R. Hyre ◽  
Brenton L. Underwood

Recent advances in numerical simulation capabilities have made the modeling of glass container forming processes feasible. These forming models must include large free surface deformations, viscoelastic behavior, conjugate heat transfer, and complex contact phenomena between the glass and the forming molds. One of the most critical inputs to these models is the heat flux between the glass and mold. A simple one-dimensional heat transfer model was developed for use in conjunction with a complex three-dimensional forming model to determine the heat flow between the glass and forming mold. Initial comparisons to experimental results indicate the simple model captures the primary physics of heat flow during forming. This paper describes an experimental effort to determine the time varying contact conductance between molten glass and container forming molds. The experimental apparatus is capable of independently varying the glass pressure, glass temperature, mold temperature, and glass type. Initial validation of the experimentally determined contact conductance function in conjunction with the one-dimensional heat transfer model utilized within a glass forming model indicate good agreement between calculated and measured results. These forming models are now able to determine final glass container properties without having to resort to the trial-and-error process currently utilized in glass container production.


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