Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface

Because of the floating magnetic nanomaterial, ferrofluids have magneto-viscous properties, enabling controllable temperature changes as well as nano-structured fluid characteristics. The study’s purpose is to evolve and solve a theoretical model of bioconvection nanofluid flow with a magnetic dipol...

Full description

Bibliographic Details
Main Authors: Auwalu Hamisu Usman, Zahir Shah, Poom Kumam, Waris Khan, Usa Wannasingha Humphries
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Coatings
Subjects:
Online Access:https://www.mdpi.com/2079-6412/11/9/1129
id doaj-0f50a30db1a14a8e935319d3df4364fd
record_format Article
spelling doaj-0f50a30db1a14a8e935319d3df4364fd2021-09-25T23:56:33ZengMDPI AGCoatings2079-64122021-09-01111129112910.3390/coatings11091129Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone SurfaceAuwalu Hamisu Usman0Zahir Shah1Poom Kumam2Waris Khan3Usa Wannasingha Humphries4Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, ThailandDepartment of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, PakistanKMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandDepartment of Mathematics and Statistics, Hazara University Mansehra, Khyber Pakhtunkhwa 21120, PakistanDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, ThailandBecause of the floating magnetic nanomaterial, ferrofluids have magneto-viscous properties, enabling controllable temperature changes as well as nano-structured fluid characteristics. The study’s purpose is to evolve and solve a theoretical model of bioconvection nanofluid flow with a magnetic dipole effect in the presence of Curie temperature and using the Forchheimer-extended Darcy law subjected to a vertical cone surface. The model also includes the nonlinear thermal radiation, heat suction/injection, viscous dissipation, and chemical reaction effects. The developed model problem is transformed into nonlinear ordinary differentials, which have been solved using the homotopy analysis technique. In this problem, the behavior of function profiles are graphically depicted and explained for a variety of key parameters. For a given set of parameters, tables representthe expected numerical values and behaviors of physical quantities. The nanofluid velocity decreases as the ferrohydrodynamic, local inertia, and porosity parameters increase and decrease when the bioconvection Rayleigh number increases. Many key parameters improved the thermal boundary layer and temperature. The concentration is low when the chemical reaction parameter and Schmidt number rises. Furthermore, as the bioconvection constant, Peclet and Lewis numbers rise, so does the density of motile microorganisms.https://www.mdpi.com/2079-6412/11/9/1129ferromagneticnanofluidbioconvectionporous mediumheat suction/injectionmagnetic dipole
collection DOAJ
language English
format Article
sources DOAJ
author Auwalu Hamisu Usman
Zahir Shah
Poom Kumam
Waris Khan
Usa Wannasingha Humphries
spellingShingle Auwalu Hamisu Usman
Zahir Shah
Poom Kumam
Waris Khan
Usa Wannasingha Humphries
Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface
Coatings
ferromagnetic
nanofluid
bioconvection
porous medium
heat suction/injection
magnetic dipole
author_facet Auwalu Hamisu Usman
Zahir Shah
Poom Kumam
Waris Khan
Usa Wannasingha Humphries
author_sort Auwalu Hamisu Usman
title Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface
title_short Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface
title_full Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface
title_fullStr Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface
title_full_unstemmed Nanomechanical Concepts in Magnetically Guided Systems to Investigate the Magnetic Dipole Effect on Ferromagnetic Flow Past a Vertical Cone Surface
title_sort nanomechanical concepts in magnetically guided systems to investigate the magnetic dipole effect on ferromagnetic flow past a vertical cone surface
publisher MDPI AG
series Coatings
issn 2079-6412
publishDate 2021-09-01
description Because of the floating magnetic nanomaterial, ferrofluids have magneto-viscous properties, enabling controllable temperature changes as well as nano-structured fluid characteristics. The study’s purpose is to evolve and solve a theoretical model of bioconvection nanofluid flow with a magnetic dipole effect in the presence of Curie temperature and using the Forchheimer-extended Darcy law subjected to a vertical cone surface. The model also includes the nonlinear thermal radiation, heat suction/injection, viscous dissipation, and chemical reaction effects. The developed model problem is transformed into nonlinear ordinary differentials, which have been solved using the homotopy analysis technique. In this problem, the behavior of function profiles are graphically depicted and explained for a variety of key parameters. For a given set of parameters, tables representthe expected numerical values and behaviors of physical quantities. The nanofluid velocity decreases as the ferrohydrodynamic, local inertia, and porosity parameters increase and decrease when the bioconvection Rayleigh number increases. Many key parameters improved the thermal boundary layer and temperature. The concentration is low when the chemical reaction parameter and Schmidt number rises. Furthermore, as the bioconvection constant, Peclet and Lewis numbers rise, so does the density of motile microorganisms.
topic ferromagnetic
nanofluid
bioconvection
porous medium
heat suction/injection
magnetic dipole
url https://www.mdpi.com/2079-6412/11/9/1129
work_keys_str_mv AT auwaluhamisuusman nanomechanicalconceptsinmagneticallyguidedsystemstoinvestigatethemagneticdipoleeffectonferromagneticflowpastaverticalconesurface
AT zahirshah nanomechanicalconceptsinmagneticallyguidedsystemstoinvestigatethemagneticdipoleeffectonferromagneticflowpastaverticalconesurface
AT poomkumam nanomechanicalconceptsinmagneticallyguidedsystemstoinvestigatethemagneticdipoleeffectonferromagneticflowpastaverticalconesurface
AT wariskhan nanomechanicalconceptsinmagneticallyguidedsystemstoinvestigatethemagneticdipoleeffectonferromagneticflowpastaverticalconesurface
AT usawannasinghahumphries nanomechanicalconceptsinmagneticallyguidedsystemstoinvestigatethemagneticdipoleeffectonferromagneticflowpastaverticalconesurface
_version_ 1717367442623168512