On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds

Abstract It is a theoretical exportation for mass transpiration and thermal transportation of Casson nanofluid over an extending cylindrical surface. The Stagnation point flow through porous matrix is influenced by magnetic field of uniform strength. Appropriate similarity functions are availed to y...

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Autores principales:	Sohaib Abdal, Sajjad Hussain, Imran Siddique, Ali Ahmadian, Massimiliano Ferrara
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/be247e99b8e945c09d428d5320d6f710
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spelling	oai:doaj.org-article:be247e99b8e945c09d428d5320d6f7102021-12-02T14:37:21ZOn solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds10.1038/s41598-021-86953-12045-2322https://doaj.org/article/be247e99b8e945c09d428d5320d6f7102021-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-86953-1https://doaj.org/toc/2045-2322Abstract It is a theoretical exportation for mass transpiration and thermal transportation of Casson nanofluid over an extending cylindrical surface. The Stagnation point flow through porous matrix is influenced by magnetic field of uniform strength. Appropriate similarity functions are availed to yield the transmuted system of leading differential equations. Existence for the solution of momentum equation is proved for various values of Casson parameter $$\beta $$ β , magnetic parameter M, porosity parameter $$K_p$$ K p and Reynolds number Re in two situations of mass transpiration (suction/injuction). The core interest for this study aroused to address some analytical aspects. Therefore, existence of solution is proved and uniqueness of this results is discussed with evaluation of bounds for existence of solution. Results for skin friction factor are established to attain accuracy for large injection values. Thermal and concentration profiles are delineated numerically by applying Runge-Kutta method and shooting technique. The flow speed retards against M, $$\beta $$ β and $$K_p$$ K p for both situations of mass injection and suction. The thermal boundary layer improves with Brownian and thermopherotic diffusions.Sohaib AbdalSajjad HussainImran SiddiqueAli AhmadianMassimiliano FerraraNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-16 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Sohaib Abdal Sajjad Hussain Imran Siddique Ali Ahmadian Massimiliano Ferrara On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds
description	Abstract It is a theoretical exportation for mass transpiration and thermal transportation of Casson nanofluid over an extending cylindrical surface. The Stagnation point flow through porous matrix is influenced by magnetic field of uniform strength. Appropriate similarity functions are availed to yield the transmuted system of leading differential equations. Existence for the solution of momentum equation is proved for various values of Casson parameter $$\beta $$ β , magnetic parameter M, porosity parameter $$K_p$$ K p and Reynolds number Re in two situations of mass transpiration (suction/injuction). The core interest for this study aroused to address some analytical aspects. Therefore, existence of solution is proved and uniqueness of this results is discussed with evaluation of bounds for existence of solution. Results for skin friction factor are established to attain accuracy for large injection values. Thermal and concentration profiles are delineated numerically by applying Runge-Kutta method and shooting technique. The flow speed retards against M, $$\beta $$ β and $$K_p$$ K p for both situations of mass injection and suction. The thermal boundary layer improves with Brownian and thermopherotic diffusions.
format	article
author	Sohaib Abdal Sajjad Hussain Imran Siddique Ali Ahmadian Massimiliano Ferrara
author_facet	Sohaib Abdal Sajjad Hussain Imran Siddique Ali Ahmadian Massimiliano Ferrara
author_sort	Sohaib Abdal
title	On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds
title_short	On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds
title_full	On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds
title_fullStr	On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds
title_full_unstemmed	On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds
title_sort	on solution existence of mhd casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/be247e99b8e945c09d428d5320d6f710
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On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds

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