The Modified Heat Flux Modeling in Nanoparticles (Fe 3 O 4 and Aggregation Nanoparticle) Based Fluid between Two Rotating Disks

Hussan Zeb, Hafiz Abdul Wahab, Umar Khan, Mohamed Ehab and Muhammad Yousaf Malik
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Hussan Zeb: Department of Mathematics & Statistics, Hazara University, Mansehra 21120, Pakistan
Hafiz Abdul Wahab: Department of Mathematics & Statistics, Hazara University, Mansehra 21120, Pakistan
Umar Khan: Department of Mathematics & Statistics, Hazara University, Mansehra 21120, Pakistan
Mohamed Ehab: Engineering Mathematics and Physics Department, Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt
Muhammad Yousaf Malik: Department of Mathematics, College of Sciences, King Khalid University Abha, Abha 61413, Saudi Arabia

Energies, 2022, vol. 15, issue 11, 1-19

Abstract: In this article, Cattaneo Christov heat transfer analysis in nanofluid (Ferro Fe 3 O 4 and Aggregation) flow between two parallel rotating disks with different velocities determined. The relaxation time, velocity slip, heat convective boundary condition, and heat generation are also presented. The governing partial differential equation (PDEs) model is converted into a set of nonlinear ordinary differential equations (ODEs) system by similarity variables. The solution is computed of the resulting ODEs system by using the Runge Kutta (Rk) method. Here a decline is noticed in the tangential velocity for nanoparticles (Fe 3 O 4 and Aggregation nanoparticle) for higher values of the porosity parameter ( λ 1 ), slip parameter γ 1 , magnetic parameter ( M ) and Reynolds number ( R e r ), while tangential velocity arises for higher values of rotation parameters (ß 1 ). This reduces the temperature field for nanoparticles by higher values of Eckert number (Ec), Prandtl number (Pr), Reynolds number ( R e r ), porosity parameter (λ 1 ), while increases for arising the values of thermal relaxation parameter λ 2 , and for both Biot numbers ( B 1 , B 2 ) nanoparticles (Fe 3 O 4 and Aggregation nanoparticle). Further we compute the characteristics of physical quantities, namely skin friction and Nusselt number are presented.

Keywords: (Ferro Fe 3 O 4 and Aggregation) nanoparticle; slip boundary condition; heat sources; two parallel rotating disks (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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