Magnetic Dipole Impact on the Hybrid Nanofluid Flow over an Extending Surface

Gul, Taza; Khan, Abbas; Bilal, Muhammad; Alreshidi, Nasser Aedh; Mukhtar, Safyan; Shah, Zahir; Kumam, Poom

doi:10.1038/s41598-020-65298-1

Cited by 86 publications

(53 citation statements)

References 37 publications

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“…n n j k . Equations(22)-(23) are a decoupled linear PDEs system where the terms subscripted by n or n are known from the previous iteration or updated from the current iteration level, respectively, and the terms subscripted by + n 1 are the current approximation. To solve the linearized system (22)-(23), we employed CSM in η-direction and the two-point implicit finite difference method 50 in ξ-direction.…”

mentioning

confidence: 99%

Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder

El‐Zahar

Rashad

Saad

et al. 2020

Sci Rep

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The goal of the current analysis is to scrutinize the magneto-mixed convective flow of aqueous-based hybrid-nanofluid comprising Alumina and Copper nanoparticles across a horizontal circular cylinder with convective boundary condition. The energy equation is modelled by interpolating the non-linear radiation phenomenon with the assisting and opposing flows. The original equations describing the magneto-hybrid nanofluid motion and energy are converted into non-dimensional equations and solved numerically using a new hybrid linearization-Chebyshev spectral method (HLCSM). HLCSM is a high order spectral semi-analytical numerical method that results in an analytical solution in η-direction and thereby the solution is valid in overall the η-domain, not only at the grid points. The impacts of diverse parameters on the allied apportionment are inspected, and the fallouts are described graphically in the investigation. The physical quantities of interest containing the drag coefficient and the heat transfer rate are predestined versus fundamental parameters, and their outcomes are elucidated. It is witnessed that both drag coefficient and Nusselt number have greater magnitude for Cu-water followed by hybrid nanofluid and Al2O3-water. Moreover, the value of the drag coefficient declines versus the enlarged solid volume fraction. To emphasize the originality of the current analysis, the outcomes are compared with quoted works, and excellent accord is achieved in this consideration.

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confidence: 99%

Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder

El‐Zahar

Rashad

Saad

et al. 2020

Sci Rep

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“…The series solution of the problem is obtained through the optimal HAM. The problem is solved through the HAM technique 46‐55 by utilizing Equations (12)–(14) with the limiting conditions (15). The trail solution is required for the HAM solution.…”

Section: Solution By Hammentioning

confidence: 99%

The magnetohydrodynamic flow of a nanofluid over a curved exponentially stretching surface

et al. 2021

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The magnetohydrodynamics flow of a nanofluid over an exponentially curved stretching surface is deeply focused in the current study. By using the assumption on the curved stretching surface, the governing equations are established. We obtain nonlinear partial differential equations by utilizing the boundary layer estimation on the Navier–Stokes condition. These equations are converted into nondimensional system ordinary differential equations, using a suitable similarity transformation. The governing system of equations is tackled through an analytical method. The impacts of different pertinent parameters involved in the governing equations are illustrated graphically, whereas the numerical values of R e s 1 2 C f , .25em R e s 1 2 S h s .25em , and R e s 1 2 N u are also tabulated. The velocity profile declines with an increase in values of magnetic parameter and porosity parameter. The temperature profile is increasing, when the value of a thermophoretic parameter and Brownian motion parameter increases. A higher activation energy displays a stronger concentration profile. The concentration profile decreases for increasing values of the Schmidt number. The concentration profile shows the inverse impact for increasing values of the thermophoretic parameter and Brownian motion parameter. The focus of this study was to examine the heat transfer rate of nanoparticles.

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“…The problem is explained through the HAM 60 – 63 method. The detail of HAM for current modeled problem is describes as follows: …”

Section: Solution By Hammentioning

confidence: 99%

Insight into the dynamics of second grade hybrid radiative nanofluid flow within the boundary layer subject to Lorentz force

Jawad

Saeed

Tassaddiq

et al. 2021

Sci Rep

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The magnetohydrodynamic hybrid second-grade nanofluid flow towards a stretching/shrinking sheet with thermal radiation is inspected in current work. Main concern of current investigation is to consider hybrid $$Al_{2} O_{3} - Cu$$ A l 2 O 3 - C u nanofluid which is perceived by hanging two dissimilar kinds of nanoparticles known as alumina and copper within the base fluid. The fluid motion is produced by non-linear stretching/shrinking sheet. The modeled equations which comprise of energy, motion and continuity equations are changed into dimensionless form using group of similar variables. To determine the solution of transformed problem, the Homotopy Analysis technique is used. The findings of this work revealed that the magnetic parameter improves the heat transfer rate. This work also ensures that there are non-unique solutions of modeled problem for shrinking case and a unique solution for stretching case. Higher values of $${\text{Re}}_{x}$$ Re x results in declining of flow field. Rise in $$M$$ M agrees to a decline in velocity distributions. Higher values of second order fluid parameter reduces the viscosity of fluid and accordingly velocity increases. Velocity profile is also a decreasing function of volume friction.

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Magnetic Dipole Impact on the Hybrid Nanofluid Flow over an Extending Surface

Cited by 86 publications

References 37 publications

Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder

Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder

The magnetohydrodynamic flow of a nanofluid over a curved exponentially stretching surface

Insight into the dynamics of second grade hybrid radiative nanofluid flow within the boundary layer subject to Lorentz force

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