Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet

The MHD two dimensional boundary layer flow of Casson nanofluid on an exponential stretching/shrinking sheet is considered with effects of radiation parameter, nanoparticles volume fractions (i.e. Fe 3 O 4 and Ti 6 Al 4 V ) and thermal convective boundary condition. The partial differential equation...

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Autores principales:	Hazoor Bux Lanjwani, Salman Saleem, Muhammad Saleem Chandio, Muhammad Imran Anwar, Nadeem Abbas
Formato:	article
Lenguaje:	EN
Publicado:	SAGE Publishing 2021
Materias:	Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/1ac6c71e793c404ea2447a7460f6cfb2
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spelling	oai:doaj.org-article:1ac6c71e793c404ea2447a7460f6cfb22021-11-15T00:33:29ZStability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet1687-814010.1177/16878140211059679https://doaj.org/article/1ac6c71e793c404ea2447a7460f6cfb22021-11-01T00:00:00Zhttps://doi.org/10.1177/16878140211059679https://doaj.org/toc/1687-8140The MHD two dimensional boundary layer flow of Casson nanofluid on an exponential stretching/shrinking sheet is considered with effects of radiation parameter, nanoparticles volume fractions (i.e. Fe 3 O 4 and Ti 6 Al 4 V ) and thermal convective boundary condition. The partial differential equations are transformed into ordinary differential equations by means of similarity transformations. The solutions of the transferred equations are achieved numerically with the help of shooting technique in Maple software. At different ranges of involved physical parameters, triple solutions are found. Therefore, stability analysis is performed by bvp4c in MATLAB to find the stable and physically reliable solution. Impacts of the physical parameter are presented through graphs and tables. Mainly, it is found that an increase in Casson and suction parameters decrease the corresponding velocity profiles while increase in Prandtl number, stretching/shrinking, and suction parameter decrease the temperature profiles. Furthermore, an increase in nanoparticles volumetric fraction, radiation and magnetic parameters as well as Biot number increase the temperature profiles and their thermal boundary layer thicknesses.Hazoor Bux LanjwaniSalman SaleemMuhammad Saleem ChandioMuhammad Imran AnwarNadeem AbbasSAGE PublishingarticleMechanical engineering and machineryTJ1-1570ENAdvances in Mechanical Engineering, Vol 13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mechanical engineering and machinery TJ1-1570
spellingShingle	Mechanical engineering and machinery TJ1-1570 Hazoor Bux Lanjwani Salman Saleem Muhammad Saleem Chandio Muhammad Imran Anwar Nadeem Abbas Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet
description	The MHD two dimensional boundary layer flow of Casson nanofluid on an exponential stretching/shrinking sheet is considered with effects of radiation parameter, nanoparticles volume fractions (i.e. Fe 3 O 4 and Ti 6 Al 4 V ) and thermal convective boundary condition. The partial differential equations are transformed into ordinary differential equations by means of similarity transformations. The solutions of the transferred equations are achieved numerically with the help of shooting technique in Maple software. At different ranges of involved physical parameters, triple solutions are found. Therefore, stability analysis is performed by bvp4c in MATLAB to find the stable and physically reliable solution. Impacts of the physical parameter are presented through graphs and tables. Mainly, it is found that an increase in Casson and suction parameters decrease the corresponding velocity profiles while increase in Prandtl number, stretching/shrinking, and suction parameter decrease the temperature profiles. Furthermore, an increase in nanoparticles volumetric fraction, radiation and magnetic parameters as well as Biot number increase the temperature profiles and their thermal boundary layer thicknesses.
format	article
author	Hazoor Bux Lanjwani Salman Saleem Muhammad Saleem Chandio Muhammad Imran Anwar Nadeem Abbas
author_facet	Hazoor Bux Lanjwani Salman Saleem Muhammad Saleem Chandio Muhammad Imran Anwar Nadeem Abbas
author_sort	Hazoor Bux Lanjwani
title	Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet
title_short	Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet
title_full	Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet
title_fullStr	Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet
title_full_unstemmed	Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet
title_sort	stability analysis of triple solutions of casson nanofluid past on a vertical exponentially stretching/shrinking sheet
publisher	SAGE Publishing
publishDate	2021
url	https://doaj.org/article/1ac6c71e793c404ea2447a7460f6cfb2
work_keys_str_mv	AT hazoorbuxlanjwani stabilityanalysisoftriplesolutionsofcassonnanofluidpastonaverticalexponentiallystretchingshrinkingsheet AT salmansaleem stabilityanalysisoftriplesolutionsofcassonnanofluidpastonaverticalexponentiallystretchingshrinkingsheet AT muhammadsaleemchandio stabilityanalysisoftriplesolutionsofcassonnanofluidpastonaverticalexponentiallystretchingshrinkingsheet AT muhammadimrananwar stabilityanalysisoftriplesolutionsofcassonnanofluidpastonaverticalexponentiallystretchingshrinkingsheet AT nadeemabbas stabilityanalysisoftriplesolutionsofcassonnanofluidpastonaverticalexponentiallystretchingshrinkingsheet
_version_	1718428968211709952

Stability analysis of triple solutions of Casson nanofluid past on a vertical exponentially stretching/shrinking sheet

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