Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls

This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based s...
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Autor*in:	Amjad Ali [verfasserIn] Muhammad Umar [verfasserIn] Zaheer Abbas [verfasserIn] Gullnaz Shahzadi [verfasserIn] Zainab Bukhari [verfasserIn] Arshad Saleem [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	micropolar fluid constricted channel MHD pulsatile flow strouhal number flow pulsation parameter

Übergeordnetes Werk:	In: Mathematics - MDPI AG, 2013, 9(2021), 9, p 1000
Übergeordnetes Werk:	volume:9 ; year:2021 ; number:9, p 1000

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/math9091000

Katalog-ID:	DOAJ070617287

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allfields	10.3390/math9091000 doi (DE-627)DOAJ070617287 (DE-599)DOAJ322e5b1a4bca46ae8d82b08e2ad281f9 DE-627 ger DE-627 rakwb eng QA1-939 Amjad Ali verfasserin aut Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter. micropolar fluid constricted channel MHD pulsatile flow strouhal number flow pulsation parameter Mathematics Muhammad Umar verfasserin aut Zaheer Abbas verfasserin aut Gullnaz Shahzadi verfasserin aut Zainab Bukhari verfasserin aut Arshad Saleem verfasserin aut In Mathematics MDPI AG, 2013 9(2021), 9, p 1000 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:9, p 1000 https://doi.org/10.3390/math9091000 kostenfrei https://doaj.org/article/322e5b1a4bca46ae8d82b08e2ad281f9 kostenfrei https://www.mdpi.com/2227-7390/9/9/1000 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2021 9, p 1000
spelling	10.3390/math9091000 doi (DE-627)DOAJ070617287 (DE-599)DOAJ322e5b1a4bca46ae8d82b08e2ad281f9 DE-627 ger DE-627 rakwb eng QA1-939 Amjad Ali verfasserin aut Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter. micropolar fluid constricted channel MHD pulsatile flow strouhal number flow pulsation parameter Mathematics Muhammad Umar verfasserin aut Zaheer Abbas verfasserin aut Gullnaz Shahzadi verfasserin aut Zainab Bukhari verfasserin aut Arshad Saleem verfasserin aut In Mathematics MDPI AG, 2013 9(2021), 9, p 1000 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:9, p 1000 https://doi.org/10.3390/math9091000 kostenfrei https://doaj.org/article/322e5b1a4bca46ae8d82b08e2ad281f9 kostenfrei https://www.mdpi.com/2227-7390/9/9/1000 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2021 9, p 1000
allfields_unstemmed	10.3390/math9091000 doi (DE-627)DOAJ070617287 (DE-599)DOAJ322e5b1a4bca46ae8d82b08e2ad281f9 DE-627 ger DE-627 rakwb eng QA1-939 Amjad Ali verfasserin aut Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter. micropolar fluid constricted channel MHD pulsatile flow strouhal number flow pulsation parameter Mathematics Muhammad Umar verfasserin aut Zaheer Abbas verfasserin aut Gullnaz Shahzadi verfasserin aut Zainab Bukhari verfasserin aut Arshad Saleem verfasserin aut In Mathematics MDPI AG, 2013 9(2021), 9, p 1000 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:9, p 1000 https://doi.org/10.3390/math9091000 kostenfrei https://doaj.org/article/322e5b1a4bca46ae8d82b08e2ad281f9 kostenfrei https://www.mdpi.com/2227-7390/9/9/1000 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2021 9, p 1000
allfieldsGer	10.3390/math9091000 doi (DE-627)DOAJ070617287 (DE-599)DOAJ322e5b1a4bca46ae8d82b08e2ad281f9 DE-627 ger DE-627 rakwb eng QA1-939 Amjad Ali verfasserin aut Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter. micropolar fluid constricted channel MHD pulsatile flow strouhal number flow pulsation parameter Mathematics Muhammad Umar verfasserin aut Zaheer Abbas verfasserin aut Gullnaz Shahzadi verfasserin aut Zainab Bukhari verfasserin aut Arshad Saleem verfasserin aut In Mathematics MDPI AG, 2013 9(2021), 9, p 1000 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:9, p 1000 https://doi.org/10.3390/math9091000 kostenfrei https://doaj.org/article/322e5b1a4bca46ae8d82b08e2ad281f9 kostenfrei https://www.mdpi.com/2227-7390/9/9/1000 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2021 9, p 1000
allfieldsSound	10.3390/math9091000 doi (DE-627)DOAJ070617287 (DE-599)DOAJ322e5b1a4bca46ae8d82b08e2ad281f9 DE-627 ger DE-627 rakwb eng QA1-939 Amjad Ali verfasserin aut Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter. micropolar fluid constricted channel MHD pulsatile flow strouhal number flow pulsation parameter Mathematics Muhammad Umar verfasserin aut Zaheer Abbas verfasserin aut Gullnaz Shahzadi verfasserin aut Zainab Bukhari verfasserin aut Arshad Saleem verfasserin aut In Mathematics MDPI AG, 2013 9(2021), 9, p 1000 (DE-627)737287764 (DE-600)2704244-3 22277390 nnns volume:9 year:2021 number:9, p 1000 https://doi.org/10.3390/math9091000 kostenfrei https://doaj.org/article/322e5b1a4bca46ae8d82b08e2ad281f9 kostenfrei https://www.mdpi.com/2227-7390/9/9/1000 kostenfrei https://doaj.org/toc/2227-7390 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2021 9, p 1000
language	English
source	In Mathematics 9(2021), 9, p 1000 volume:9 year:2021 number:9, p 1000
sourceStr	In Mathematics 9(2021), 9, p 1000 volume:9 year:2021 number:9, p 1000
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	micropolar fluid constricted channel MHD pulsatile flow strouhal number flow pulsation parameter Mathematics
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container_title	Mathematics
authorswithroles_txt_mv	Amjad Ali @@aut@@ Muhammad Umar @@aut@@ Zaheer Abbas @@aut@@ Gullnaz Shahzadi @@aut@@ Zainab Bukhari @@aut@@ Arshad Saleem @@aut@@
publishDateDaySort_date	2021-01-01T00:00:00Z
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callnumber-first	Q - Science
author	Amjad Ali
spellingShingle	Amjad Ali misc QA1-939 misc micropolar fluid misc constricted channel misc MHD pulsatile flow misc strouhal number misc flow pulsation parameter misc Mathematics Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls
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topic_title	QA1-939 Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls micropolar fluid constricted channel MHD pulsatile flow strouhal number flow pulsation parameter
topic	misc QA1-939 misc micropolar fluid misc constricted channel misc MHD pulsatile flow misc strouhal number misc flow pulsation parameter misc Mathematics
topic_unstemmed	misc QA1-939 misc micropolar fluid misc constricted channel misc MHD pulsatile flow misc strouhal number misc flow pulsation parameter misc Mathematics
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title	Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls
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title_full	Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls
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author_browse	Amjad Ali Muhammad Umar Zaheer Abbas Gullnaz Shahzadi Zainab Bukhari Arshad Saleem
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title_sort	numerical investigation of mhd pulsatile flow of micropolar fluid in a channel with symmetrically constricted walls
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title_auth	Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls
abstract	This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter.
abstractGer	This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter.
abstract_unstemmed	This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter.
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title_short	Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls
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Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls

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