Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law

The effect of Stefan blowing on the Cattaneo–Christov characteristics of the Blasius–Rayleigh–Stokes flow of self-motive Ag-MgO/water hybrid nanofluids, with convective boundary conditions and a microorganism density, are examined in this study. Further, the impact of the transitive magnetic field,...

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Main Authors: Yingzi Jiang, Juan Zhang, Thabet Abdeljawad, Shafiq Ahmad, Muhammad Naveed Khan, Aysha Rehman, Abdulrazak H. Almaliki, Ahmed S. El-Shafay
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/12/3/439
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author Yingzi Jiang
Juan Zhang
Thabet Abdeljawad
Shafiq Ahmad
Muhammad Naveed Khan
Aysha Rehman
Abdulrazak H. Almaliki
Ahmed S. El-Shafay
author_facet Yingzi Jiang
Juan Zhang
Thabet Abdeljawad
Shafiq Ahmad
Muhammad Naveed Khan
Aysha Rehman
Abdulrazak H. Almaliki
Ahmed S. El-Shafay
author_sort Yingzi Jiang
collection DOAJ
description The effect of Stefan blowing on the Cattaneo–Christov characteristics of the Blasius–Rayleigh–Stokes flow of self-motive Ag-MgO/water hybrid nanofluids, with convective boundary conditions and a microorganism density, are examined in this study. Further, the impact of the transitive magnetic field, ablation/accretion, melting heat, and viscous dissipation effects are also discussed. By performing appropriate transformations, the mathematical models are turned into a couple of self-similarity equations. The bvp4c approach is used to solve the modified similarity equations numerically. The fluid flow, microorganism density, energy, and mass transfer features are investigated for dissimilar values of different variables including magnetic parameter, volume fraction parameter, Stefan blowing parameter, thermal and concentration Biot number, Eckert number, thermal and concentration relaxation parameter, bio-convection Lewis parameter, and Peclet number, to obtain a better understanding of the problem. The liquid velocity is improved for higher values of the volume fraction parameter and magnetic characteristic, due to the retardation effect. Further, a higher value of the Stefan blowing parameter improves the liquid momentum and velocity boundary layer thickness.
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spelling doaj.art-5f7c3604bd904cec8fec865148f6ffeb2023-11-23T17:20:49ZengMDPI AGNanomaterials2079-49912022-01-0112343910.3390/nano12030439Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s LawYingzi Jiang0Juan Zhang1Thabet Abdeljawad2Shafiq Ahmad3Muhammad Naveed Khan4Aysha Rehman5Abdulrazak H. Almaliki6Ahmed S. El-Shafay7School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, ChinaGuangdong ATV Vocational College for the Performing Arts, Dongguan 523710, ChinaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Quaid-I-Azam University, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-I-Azam University, Islamabad 44000, PakistanDepartment of Mathematics, University of Gujrat, Gujrat 50700, PakistanDepartment of Civil Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mechanical Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Alkharj 16273, Saudi ArabiaThe effect of Stefan blowing on the Cattaneo–Christov characteristics of the Blasius–Rayleigh–Stokes flow of self-motive Ag-MgO/water hybrid nanofluids, with convective boundary conditions and a microorganism density, are examined in this study. Further, the impact of the transitive magnetic field, ablation/accretion, melting heat, and viscous dissipation effects are also discussed. By performing appropriate transformations, the mathematical models are turned into a couple of self-similarity equations. The bvp4c approach is used to solve the modified similarity equations numerically. The fluid flow, microorganism density, energy, and mass transfer features are investigated for dissimilar values of different variables including magnetic parameter, volume fraction parameter, Stefan blowing parameter, thermal and concentration Biot number, Eckert number, thermal and concentration relaxation parameter, bio-convection Lewis parameter, and Peclet number, to obtain a better understanding of the problem. The liquid velocity is improved for higher values of the volume fraction parameter and magnetic characteristic, due to the retardation effect. Further, a higher value of the Stefan blowing parameter improves the liquid momentum and velocity boundary layer thickness.https://www.mdpi.com/2079-4991/12/3/439Blasius–Rayleigh–Stokes flowhybrid nanofluidgeneralized Fourier’s and Fick’s lawtransitive magnetic field
spellingShingle Yingzi Jiang
Juan Zhang
Thabet Abdeljawad
Shafiq Ahmad
Muhammad Naveed Khan
Aysha Rehman
Abdulrazak H. Almaliki
Ahmed S. El-Shafay
Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law
Nanomaterials
Blasius–Rayleigh–Stokes flow
hybrid nanofluid
generalized Fourier’s and Fick’s law
transitive magnetic field
title Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law
title_full Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law
title_fullStr Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law
title_full_unstemmed Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law
title_short Blasius–Rayleigh–Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier’s and Fick’s Law
title_sort blasius rayleigh stokes flow of hybrid nanomaterial liquid past a stretching surface with generalized fourier s and fick s law
topic Blasius–Rayleigh–Stokes flow
hybrid nanofluid
generalized Fourier’s and Fick’s law
transitive magnetic field
url https://www.mdpi.com/2079-4991/12/3/439
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