Developing a Mathematical Model to Predict the Behavior of a Supersonic Superheated Steam Flow inside a Laval Nozzle

The objective of the investigation was to mathematically correlate the behavior of a supersonic superheated steam flow inside a Laval nozzle, against the decision parameters. The decision parameters are the inlet temperature ranging from 374.3 K to 504.3 K and the inlet pressure from 40050.14 Pa to...

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Main Authors: H. Rezaei, S. Ovaysi, M. Rahimi
Format: Article
Language:English
Published: Iranian Association of Chemical Engineering (IAChE) 2020-06-01
Series:Iranian Journal of Chemical Engineering
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Online Access:https://www.ijche.com/article_119588_bdda07e301ca9ac9cf9492eac75222ce.pdf
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author H. Rezaei
S. Ovaysi
M. Rahimi
author_facet H. Rezaei
S. Ovaysi
M. Rahimi
author_sort H. Rezaei
collection DOAJ
description The objective of the investigation was to mathematically correlate the behavior of a supersonic superheated steam flow inside a Laval nozzle, against the decision parameters. The decision parameters are the inlet temperature ranging from 374.3 K to 504.3 K and the inlet pressure from 40050.14 Pa to 133375.7 Pa. Indeed, the outlet temperature, outlet pressure as well as the Mach number are mathematically correlated against the decision parameters. The numerical approach based on the Computational Fluid Dynamics (CFD) is selected to study the behavior of the supersonic superheated steam flow inside the nozzle. By examining the different temperature and pressure conditions of the inlet fluid, it was found that the closest distance from the starting point of condensation to the throat is at the highest pressure and lowest temperature. Conversely, the farthest distance from the starting point of condensation to the throat is at the lowest pressure and highest temperature. In addition, three mathematical correlations were developed. Due to the high accuracy of the mathematical correlations, the efficiency of the predictor models in predicting the outputs was proved.
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publisher Iranian Association of Chemical Engineering (IAChE)
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spelling doaj-art-6264bd6412f943e6bd10801a85e7082a2025-08-20T02:18:46ZengIranian Association of Chemical Engineering (IAChE)Iranian Journal of Chemical Engineering1735-53972008-23552020-06-01172566910.22034/ijche.2020.253425.1354119588Developing a Mathematical Model to Predict the Behavior of a Supersonic Superheated Steam Flow inside a Laval NozzleH. Rezaei0S. Ovaysi1M. Rahimi2Department of Chemical Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah, IranFaculty of Petroleum and Chemical Engineering, Razi University, Kermanshah, IranRazi UniversityThe objective of the investigation was to mathematically correlate the behavior of a supersonic superheated steam flow inside a Laval nozzle, against the decision parameters. The decision parameters are the inlet temperature ranging from 374.3 K to 504.3 K and the inlet pressure from 40050.14 Pa to 133375.7 Pa. Indeed, the outlet temperature, outlet pressure as well as the Mach number are mathematically correlated against the decision parameters. The numerical approach based on the Computational Fluid Dynamics (CFD) is selected to study the behavior of the supersonic superheated steam flow inside the nozzle. By examining the different temperature and pressure conditions of the inlet fluid, it was found that the closest distance from the starting point of condensation to the throat is at the highest pressure and lowest temperature. Conversely, the farthest distance from the starting point of condensation to the throat is at the lowest pressure and highest temperature. In addition, three mathematical correlations were developed. Due to the high accuracy of the mathematical correlations, the efficiency of the predictor models in predicting the outputs was proved.https://www.ijche.com/article_119588_bdda07e301ca9ac9cf9492eac75222ce.pdflaval nozzlemathematical correlationmach numberdecision parameterssupersonic flowsuperheated steam
spellingShingle H. Rezaei
S. Ovaysi
M. Rahimi
Developing a Mathematical Model to Predict the Behavior of a Supersonic Superheated Steam Flow inside a Laval Nozzle
Iranian Journal of Chemical Engineering
laval nozzle
mathematical correlation
mach number
decision parameters
supersonic flow
superheated steam
title Developing a Mathematical Model to Predict the Behavior of a Supersonic Superheated Steam Flow inside a Laval Nozzle
title_full Developing a Mathematical Model to Predict the Behavior of a Supersonic Superheated Steam Flow inside a Laval Nozzle
title_fullStr Developing a Mathematical Model to Predict the Behavior of a Supersonic Superheated Steam Flow inside a Laval Nozzle
title_full_unstemmed Developing a Mathematical Model to Predict the Behavior of a Supersonic Superheated Steam Flow inside a Laval Nozzle
title_short Developing a Mathematical Model to Predict the Behavior of a Supersonic Superheated Steam Flow inside a Laval Nozzle
title_sort developing a mathematical model to predict the behavior of a supersonic superheated steam flow inside a laval nozzle
topic laval nozzle
mathematical correlation
mach number
decision parameters
supersonic flow
superheated steam
url https://www.ijche.com/article_119588_bdda07e301ca9ac9cf9492eac75222ce.pdf
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AT mrahimi developingamathematicalmodeltopredictthebehaviorofasupersonicsuperheatedsteamflowinsidealavalnozzle