Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region

The numerical investigations of hybrid ferrofluid flow with magnetohydrodynamic (MHD) and heat source/sink effects are examined in this research. The sheet is assumed to stretch or shrink exponentially near the stagnation region. Two dissimilar magnetic nanoparticles, namely cobalt ferrite, CoFe<...

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Autores principales: Nur Syazana Anuar, Norfifah Bachok, Ioan Pop
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Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:fa3867bf05ef44b988ab635f9c5743ff2021-11-25T18:17:17ZInfluence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region10.3390/math92229322227-7390https://doaj.org/article/fa3867bf05ef44b988ab635f9c5743ff2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2932https://doaj.org/toc/2227-7390The numerical investigations of hybrid ferrofluid flow with magnetohydrodynamic (MHD) and heat source/sink effects are examined in this research. The sheet is assumed to stretch or shrink exponentially near the stagnation region. Two dissimilar magnetic nanoparticles, namely cobalt ferrite, CoFe<sub>2</sub>O<sub>4</sub> and magnetite, Fe<sub>3</sub>O<sub>4</sub>, are considered with water as a based fluid. Utilizing the suitable similarity transformation, the governing equations are reduced to an ordinary differential equation (ODE). The converted ODEs are numerically solved with the aid of bvp4c solver from Matlab. The influences of varied parameters on velocity profile, skin friction coefficient, temperature profile and local Nusselt number are demonstrated graphically. The analysis evident the occurrence of non-unique solution for a shrinking sheet and it is confirmed from the analysis of stability that only the first solution is the stable solution. It is also found that for a stronger heat source, heat absorption is likely to happen at the sheet. Further, hybrid ferrofluid intensifies the heat transfer rate compared to ferrofluid. Moreover, the boundary layer separation is bound to happen faster with an increment of magnetic parameter, while it delays when CoFe<sub>2</sub>O<sub>4</sub> nanoparticle volume fraction increases.Nur Syazana AnuarNorfifah BachokIoan PopMDPI AGarticlehybrid ferrofluiddual solutionexponentially stretching/shrinkingstability analysisheat source/sinkMathematicsQA1-939ENMathematics, Vol 9, Iss 2932, p 2932 (2021)
institution DOAJ
collection DOAJ
language EN
topic hybrid ferrofluid
dual solution
exponentially stretching/shrinking
stability analysis
heat source/sink
Mathematics
QA1-939
spellingShingle hybrid ferrofluid
dual solution
exponentially stretching/shrinking
stability analysis
heat source/sink
Mathematics
QA1-939
Nur Syazana Anuar
Norfifah Bachok
Ioan Pop
Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region
description The numerical investigations of hybrid ferrofluid flow with magnetohydrodynamic (MHD) and heat source/sink effects are examined in this research. The sheet is assumed to stretch or shrink exponentially near the stagnation region. Two dissimilar magnetic nanoparticles, namely cobalt ferrite, CoFe<sub>2</sub>O<sub>4</sub> and magnetite, Fe<sub>3</sub>O<sub>4</sub>, are considered with water as a based fluid. Utilizing the suitable similarity transformation, the governing equations are reduced to an ordinary differential equation (ODE). The converted ODEs are numerically solved with the aid of bvp4c solver from Matlab. The influences of varied parameters on velocity profile, skin friction coefficient, temperature profile and local Nusselt number are demonstrated graphically. The analysis evident the occurrence of non-unique solution for a shrinking sheet and it is confirmed from the analysis of stability that only the first solution is the stable solution. It is also found that for a stronger heat source, heat absorption is likely to happen at the sheet. Further, hybrid ferrofluid intensifies the heat transfer rate compared to ferrofluid. Moreover, the boundary layer separation is bound to happen faster with an increment of magnetic parameter, while it delays when CoFe<sub>2</sub>O<sub>4</sub> nanoparticle volume fraction increases.
format article
author Nur Syazana Anuar
Norfifah Bachok
Ioan Pop
author_facet Nur Syazana Anuar
Norfifah Bachok
Ioan Pop
author_sort Nur Syazana Anuar
title Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region
title_short Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region
title_full Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region
title_fullStr Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region
title_full_unstemmed Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region
title_sort influence of mhd hybrid ferrofluid flow on exponentially stretching/shrinking surface with heat source/sink under stagnation point region
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/fa3867bf05ef44b988ab635f9c5743ff
work_keys_str_mv AT nursyazanaanuar influenceofmhdhybridferrofluidflowonexponentiallystretchingshrinkingsurfacewithheatsourcesinkunderstagnationpointregion
AT norfifahbachok influenceofmhdhybridferrofluidflowonexponentiallystretchingshrinkingsurfacewithheatsourcesinkunderstagnationpointregion
AT ioanpop influenceofmhdhybridferrofluidflowonexponentiallystretchingshrinkingsurfacewithheatsourcesinkunderstagnationpointregion
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