Analysis of Fractional Bioconvection with Hybrid Nanoparticles in Channel Flow

In this paper, MHD Brinkman-type fluid flow containing titanium dioxide and silver nanoparticle hybrid nanoparticles with generalized Mittag–Leffler kernel-based fractional derivative is investigated in the presence of bioconvection. The governing equations with dimensional analysis and fractional a...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2022; pp. 1 - 14
Main Authors Asjad, Muhammad Imran, Ikram, Muhammad Danish, Sarwar, Noman, Muhammad, Taseer, Sivasankaran, Sivanandam, Subaihi, Sami Ahmed Abdu
Format Journal Article
LanguageEnglish
Published New York Hindawi 23.08.2022
Hindawi Limited
Subjects
Brownian motion
Channel flow
Dimensional analysis
Fluid dynamics
Fluid flow
Fluid mechanics
Heat flux
Heat transfer
Investigations
Magnetic fields
Mathematical analysis
Microorganisms
Nanoparticles
Radiation
Silver
Thermal boundary layer
Thickness
Titanium dioxide
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Summary:In this paper, MHD Brinkman-type fluid flow containing titanium dioxide and silver nanoparticle hybrid nanoparticles with generalized Mittag–Leffler kernel-based fractional derivative is investigated in the presence of bioconvection. The governing equations with dimensional analysis and fractional approach are obtained by using the fractional Fourier’s law for heat flux and Fick’s law for diffusion. As a result, the bioconvection Rayleigh number, which is responsible for the declining in the fluid velocity and fractional parameters used to control the thermal and momentum boundary layers thickness of fluid properties. The obtained solutions can be beneficial for proper analysis of real data and provide a tool for testing possible approximate solutions where needed.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/8600591