Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales

Joham Alvarez Montoya; Santiago Acevedo Sierra; Gustavo Suarez Guerrero; Juliana Andrea Niño Navia

doi:10.18687/LACCEI2019.1.1.89

Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales

Translated title of the contribution: Modeling of thermal distribution in a convergent-divergent nozzle used in aerospace systems

Joham Alvarez Montoya, Santiago Acevedo Sierra, Gustavo Suarez Guerrero, Juliana Andrea Niño Navia

Research output: Chapter in Book/Report/Conference proceeding › Conference and proceedings › peer-review

Abstract

A numerical mathematical model was developed to determine the behavior of thermal distribution in a convergent-divergent nozzle used in aerospace applications. This development was carried out by using the two-dimensional heat equation for describing the phenomenon, which was resolved by means of the finite difference method. In addition, it was considered insulated and flow boundary conditions, a structured mesh with, and a nodal density of 169. The methodology was implemented in MATLAB through an algorithm which allows variations in the geometry, nodal density, and inlet conditions. This methodology was validated using computational fluid dynamics (CFD). The validation demonstrated that the proposed methodology reduces the computational cost by having an execution time 1555 times less than CFD simulation time. The relative error between the methodology and the CFD results was 2,9 %. The proposed methodology would allow the preliminary design process of this type of nozzles by analyzing thermal distribution effectively and accurately.

Translated title of the contribution	Modeling of thermal distribution in a convergent-divergent nozzle used in aerospace systems
Original language	Spanish
Title of host publication	17th LACCEI International Multi-Conference for Engineering, Education, and Technology
Subtitle of host publication	"Industry, Innovation, and Infrastructure for Sustainable Cities and Communities", LACCEI 2019
Publisher	Latin American and Caribbean Consortium of Engineering Institutions
ISBN (Electronic)	9780999344361
DOIs	https://doi.org/10.18687/LACCEI2019.1.1.89
State	Published - 2019
Event	17th LACCEI International Multi-Conference for Engineering, Education, and Technology, LACCEI 2019 - Montego Bay, Jamaica Duration: 24 Jul 2019 → 26 Jul 2019

Publication series

Name	Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology
Volume	2019-July
ISSN (Electronic)	2414-6390

Conference

Conference	17th LACCEI International Multi-Conference for Engineering, Education, and Technology, LACCEI 2019
Country/Territory	Jamaica
City	Montego Bay
Period	24/07/19 → 26/07/19

Bibliographical note

Publisher Copyright:
© 2019 Latin American and Caribbean Consortium of Engineering Institutions. All rights reserved.

Access to Document

10.18687/LACCEI2019.1.1.89

Cite this

Montoya, J. A., Sierra, S. A., Guerrero, G. S., & Navia, J. A. N. (2019). Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales. In 17th LACCEI International Multi-Conference for Engineering, Education, and Technology: "Industry, Innovation, and Infrastructure for Sustainable Cities and Communities", LACCEI 2019 (Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology; Vol. 2019-July). Latin American and Caribbean Consortium of Engineering Institutions. https://doi.org/10.18687/LACCEI2019.1.1.89

Montoya, Joham Alvarez ; Sierra, Santiago Acevedo ; Guerrero, Gustavo Suarez et al. / Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales. 17th LACCEI International Multi-Conference for Engineering, Education, and Technology: "Industry, Innovation, and Infrastructure for Sustainable Cities and Communities", LACCEI 2019. Latin American and Caribbean Consortium of Engineering Institutions, 2019. (Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology).

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title = "Modelaci{\'o}n de la distribuci{\'o}n t{\'e}rmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales",

abstract = "A numerical mathematical model was developed to determine the behavior of thermal distribution in a convergent-divergent nozzle used in aerospace applications. This development was carried out by using the two-dimensional heat equation for describing the phenomenon, which was resolved by means of the finite difference method. In addition, it was considered insulated and flow boundary conditions, a structured mesh with, and a nodal density of 169. The methodology was implemented in MATLAB through an algorithm which allows variations in the geometry, nodal density, and inlet conditions. This methodology was validated using computational fluid dynamics (CFD). The validation demonstrated that the proposed methodology reduces the computational cost by having an execution time 1555 times less than CFD simulation time. The relative error between the methodology and the CFD results was 2,9 %. The proposed methodology would allow the preliminary design process of this type of nozzles by analyzing thermal distribution effectively and accurately.",

keywords = "Computer simulation, De Laval nozzle, Fluid mechanics, Mathematical modeling, Numerical methods, Two-dimensional heat equation",

author = "Montoya, {Joham Alvarez} and Sierra, {Santiago Acevedo} and Guerrero, {Gustavo Suarez} and Navia, {Juliana Andrea Ni{\~n}o}",

note = "Publisher Copyright: {\textcopyright} 2019 Latin American and Caribbean Consortium of Engineering Institutions. All rights reserved.; 17th LACCEI International Multi-Conference for Engineering, Education, and Technology, LACCEI 2019 ; Conference date: 24-07-2019 Through 26-07-2019",

year = "2019",

doi = "10.18687/LACCEI2019.1.1.89",

language = "Espa{\~n}ol",

series = "Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology",

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Montoya, JA, Sierra, SA, Guerrero, GS & Navia, JAN 2019, Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales. in 17th LACCEI International Multi-Conference for Engineering, Education, and Technology: "Industry, Innovation, and Infrastructure for Sustainable Cities and Communities", LACCEI 2019. Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology, vol. 2019-July, Latin American and Caribbean Consortium of Engineering Institutions, 17th LACCEI International Multi-Conference for Engineering, Education, and Technology, LACCEI 2019, Montego Bay, Jamaica, 24/07/19. https://doi.org/10.18687/LACCEI2019.1.1.89

Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales. / Montoya, Joham Alvarez; Sierra, Santiago Acevedo; Guerrero, Gustavo Suarez et al.
17th LACCEI International Multi-Conference for Engineering, Education, and Technology: "Industry, Innovation, and Infrastructure for Sustainable Cities and Communities", LACCEI 2019. Latin American and Caribbean Consortium of Engineering Institutions, 2019. (Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology; Vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference and proceedings › peer-review

TY - GEN

T1 - Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales

AU - Montoya, Joham Alvarez

AU - Sierra, Santiago Acevedo

AU - Guerrero, Gustavo Suarez

AU - Navia, Juliana Andrea Niño

PY - 2019

Y1 - 2019

N2 - A numerical mathematical model was developed to determine the behavior of thermal distribution in a convergent-divergent nozzle used in aerospace applications. This development was carried out by using the two-dimensional heat equation for describing the phenomenon, which was resolved by means of the finite difference method. In addition, it was considered insulated and flow boundary conditions, a structured mesh with, and a nodal density of 169. The methodology was implemented in MATLAB through an algorithm which allows variations in the geometry, nodal density, and inlet conditions. This methodology was validated using computational fluid dynamics (CFD). The validation demonstrated that the proposed methodology reduces the computational cost by having an execution time 1555 times less than CFD simulation time. The relative error between the methodology and the CFD results was 2,9 %. The proposed methodology would allow the preliminary design process of this type of nozzles by analyzing thermal distribution effectively and accurately.

AB - A numerical mathematical model was developed to determine the behavior of thermal distribution in a convergent-divergent nozzle used in aerospace applications. This development was carried out by using the two-dimensional heat equation for describing the phenomenon, which was resolved by means of the finite difference method. In addition, it was considered insulated and flow boundary conditions, a structured mesh with, and a nodal density of 169. The methodology was implemented in MATLAB through an algorithm which allows variations in the geometry, nodal density, and inlet conditions. This methodology was validated using computational fluid dynamics (CFD). The validation demonstrated that the proposed methodology reduces the computational cost by having an execution time 1555 times less than CFD simulation time. The relative error between the methodology and the CFD results was 2,9 %. The proposed methodology would allow the preliminary design process of this type of nozzles by analyzing thermal distribution effectively and accurately.

KW - Computer simulation

KW - De Laval nozzle

KW - Fluid mechanics

KW - Mathematical modeling

KW - Numerical methods

KW - Two-dimensional heat equation

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M3 - Ponencia publicada en las memorias del evento con ISBN

AN - SCOPUS:85073630206

T3 - Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology

BT - 17th LACCEI International Multi-Conference for Engineering, Education, and Technology

PB - Latin American and Caribbean Consortium of Engineering Institutions

T2 - 17th LACCEI International Multi-Conference for Engineering, Education, and Technology, LACCEI 2019

Y2 - 24 July 2019 through 26 July 2019

ER -

Montoya JA, Sierra SA, Guerrero GS, Navia JAN. Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales. In 17th LACCEI International Multi-Conference for Engineering, Education, and Technology: "Industry, Innovation, and Infrastructure for Sustainable Cities and Communities", LACCEI 2019. Latin American and Caribbean Consortium of Engineering Institutions. 2019. (Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology). doi: 10.18687/LACCEI2019.1.1.89

Modelación de la distribución térmica en una tobera convergente-divergente utilizada en sistemas aeroespaciales

Abstract

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