scholarly journals Modelling of Alumina Splat Solidification on Preheated Steel Substrate Using the Network Simulation Method

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1568
Author(s):  
Noelia González Morales ◽  
Juan Francisco Sánchez-Pérez ◽  
Jose Andres Moreno Nicolás ◽  
Andreas Killinger

A mathematical model, consisting of a set of differential equations, for the simulation of the alumina splat solidification on steel substrate is presented. The network simulation method is used to solve the problem, which provides the temperatures and the cooling rate in the splat and substrate with a high temporal and spatial resolution for different values of the preheated substrate temperature. The results of this calculation provide important information for the design of ceramic coatings. The model design is explained in depth and simulated in open source software. As expected, the temperature evolutions in several points of the splat, an important variable to know the type of phases and the effect of the manufacturing parameters on this process, coincide with the experimental results. The model is also checked by another experimental test with tin and a bigger splat, which enables the temperature to be measured during solidification. It is worth highlighting the study of the cooling rate, a fundamental parameter to determine the phase, whether amorphous, gamma or alpha. Furthermore, a sensitive study of the mesh was included in order to optimize the computational time.

2021 ◽  
Vol 60 (5) ◽  
pp. 4627-4637
Author(s):  
Juan Francisco Sánchez-Pérez ◽  
Carlos Mascaraque-Ramírez ◽  
Jose Andrés Moreno Nicolás ◽  
Enrique Castro ◽  
Manuel Cánovas

2019 ◽  
Author(s):  
P. Bruna ◽  
R. Prabhakaran ◽  
G. Bertotti ◽  
J. Straubhaar ◽  
R. Plateaux ◽  
...  

2003 ◽  
Vol 125 (6) ◽  
pp. 1178-1183 ◽  
Author(s):  
F. Alhama ◽  
J. Zueco and ◽  
C. F. Gonza´lez Ferna´ndez

This work addresses unsteady heat conduction in a plane wall subjected to a time-variable incident heat flux. Three different types of flux are studied (sinusoidal, triangular and step waveforms) and constant thermal properties are assumed for simplicity. First, the direct heat conduction problem is solved using the Network Simulation Method (NSM) and the collection of temperatures obtained at given instants is modified by introducing a random error. The resulting temperatures act as the input data for the inverse problem, which is also solved by a sequential approach using the NSM in a simple way. The solution is a continuous piece-wise function obtained step by step by minimizing the classical functional that compares the above input data with those obtained from the solution of the inverse problem. No prior information is used for the functional forms of the unknown heat flux. A piece-wise linear stretches of variable slope and length is used for each of the stretches of the solution. The sensitivity of the functional versus the slope of the line, at each step, is acceptable and the complete piece-wise solution is very close to the exact incident heat flux in all of the mentioned waveforms.


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