Falkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall
In this work, an important model in fluid dynamics is analyzed by a new hybrid neurocomputing algorithm. We have considered the Falkner–Skan (FS) with the stream-wise pressure gradient transfer of mass over a dynamic wall. To analyze the boundary flow of the FS model, we have utilized the global sea...
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2021
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oai:doaj.org-article:c74f938f10f748f484d02cc6873d68032021-11-25T17:29:44ZFalkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall10.3390/e231114481099-4300https://doaj.org/article/c74f938f10f748f484d02cc6873d68032021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1448https://doaj.org/toc/1099-4300In this work, an important model in fluid dynamics is analyzed by a new hybrid neurocomputing algorithm. We have considered the Falkner–Skan (FS) with the stream-wise pressure gradient transfer of mass over a dynamic wall. To analyze the boundary flow of the FS model, we have utilized the global search characteristic of a recently developed heuristic, the Sine Cosine Algorithm (SCA), and the local search characteristic of Sequential Quadratic Programming (SQP). Artificial neural network (ANN) architecture is utilized to construct a series solution of the mathematical model. We have called our technique the ANN-SCA-SQP algorithm. The dynamic of the FS system is observed by varying stream-wise pressure gradient mass transfer and dynamic wall. To validate the effectiveness of ANN-SCA-SQP algorithm, our solutions are compared with state-of-the-art reference solutions. We have repeated a hundred experiments to establish the robustness of our approach. Our experimental outcome validates the superiority of the ANN-SCA-SQP algorithm.Muhammad Fawad KhanMuhammad SulaimanCarlos Andrés Tavera RomeroAli AlkhathlanMDPI AGarticlefluid dynamicsnumerical methodscomputational sciencecomputational fluid dynamicsdifferential equationsFalkner–Skan systemScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1448, p 1448 (2021) |
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fluid dynamics numerical methods computational science computational fluid dynamics differential equations Falkner–Skan system Science Q Astrophysics QB460-466 Physics QC1-999 |
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fluid dynamics numerical methods computational science computational fluid dynamics differential equations Falkner–Skan system Science Q Astrophysics QB460-466 Physics QC1-999 Muhammad Fawad Khan Muhammad Sulaiman Carlos Andrés Tavera Romero Ali Alkhathlan Falkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall |
description |
In this work, an important model in fluid dynamics is analyzed by a new hybrid neurocomputing algorithm. We have considered the Falkner–Skan (FS) with the stream-wise pressure gradient transfer of mass over a dynamic wall. To analyze the boundary flow of the FS model, we have utilized the global search characteristic of a recently developed heuristic, the Sine Cosine Algorithm (SCA), and the local search characteristic of Sequential Quadratic Programming (SQP). Artificial neural network (ANN) architecture is utilized to construct a series solution of the mathematical model. We have called our technique the ANN-SCA-SQP algorithm. The dynamic of the FS system is observed by varying stream-wise pressure gradient mass transfer and dynamic wall. To validate the effectiveness of ANN-SCA-SQP algorithm, our solutions are compared with state-of-the-art reference solutions. We have repeated a hundred experiments to establish the robustness of our approach. Our experimental outcome validates the superiority of the ANN-SCA-SQP algorithm. |
format |
article |
author |
Muhammad Fawad Khan Muhammad Sulaiman Carlos Andrés Tavera Romero Ali Alkhathlan |
author_facet |
Muhammad Fawad Khan Muhammad Sulaiman Carlos Andrés Tavera Romero Ali Alkhathlan |
author_sort |
Muhammad Fawad Khan |
title |
Falkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall |
title_short |
Falkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall |
title_full |
Falkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall |
title_fullStr |
Falkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall |
title_full_unstemmed |
Falkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall |
title_sort |
falkner–skan flow with stream-wise pressure gradient and transfer of mass over a dynamic wall |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/c74f938f10f748f484d02cc6873d6803 |
work_keys_str_mv |
AT muhammadfawadkhan falknerskanflowwithstreamwisepressuregradientandtransferofmassoveradynamicwall AT muhammadsulaiman falknerskanflowwithstreamwisepressuregradientandtransferofmassoveradynamicwall AT carlosandrestaveraromero falknerskanflowwithstreamwisepressuregradientandtransferofmassoveradynamicwall AT alialkhathlan falknerskanflowwithstreamwisepressuregradientandtransferofmassoveradynamicwall |
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