Magnetohydrodynamic boundary layer flow of hybrid nanofluid with the thermophoresis and Brownian motion in an irregular channel: A numerical approach

Kalpana, G.; Madhura, K. R.; Kudenatti, Ramesh B.

doi:10.1016/j.jestch.2021.11.001

Cited by 18 publications

(11 citation statements)

References 37 publications

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“…where np1 and np2 stand for nanoparticle 1 and nanoparticle 2, respectively. The properties of the water (H 2 O), copper (Cu), and alumina (Al 2 O 3 ) particles are given below [4,5,10,17]: 2.3. Governing Equations.…”

Section: Theoretical Formulationmentioning

confidence: 99%

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Implicit Finite Difference Simulation of Hybrid Nanofluid along a Vertical Thin Cylinder with Sinusoidal Wall Heat Flux under the Effects of Magnetic Field

Khan,

Hossain,

Parvin

et al. 2023

Advances in Mathematical Physics

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A numerical analysis of magnetohydrodynamic natural convection along a thin vertical cylinder with a sinusoidal heat flux at the wall immersed in copper (Cu) and aluminum-oxide (Al2O3) hybrid nanofluids has been studied. A 2D vertical thin cylinder shape geometry has been considered with a radius of R. The fluid flow is considered laminar and incompressible with the Prandtl number of Pr = 6.2 and 10% concentration of hybrid nanoparticles. The nondimensional governing equations have been solved numerically by using the implicit finite difference method. An in-house FORTRAN 90 code is used for solving this problem and the code is validated with the available benchmark results. Numerical simulations have been performed for a wide range of governing parameters, Hartmann number from Ha = 0 to Ha = 4, nanoparticles volume fractions ϕ = 0.0 to ϕ = 0.1, and the amplitude of the wall heat flux ε = 0.0–0.3. The findings have been illustrated in terms of streamlines, isotherms, local skin friction coefficients, local Nusselt numbers, velocity, and temperature distributions. The flow field and temperature distribution within the boundary layer are deceased by the effects of the wall heat flux amplitudes. It is also noted that the rate of heat transfer increases with particle volume fraction and the amplitude of the wall heat flux. According to the findings, Nu increases by 24.72% as ϕ increases from 0 to 0.1 while ε = 0.3, and 27.66% while ε increases from 0.0 to 0.3 at 5% hybrid nanoparticles. The local skin frictions and Nusselt number diminish with the increment of the Hartman number due to the effects of the Lorenz force. The findings of this study can lead to a better understanding of the fundamental principles regarding the behavior of hybrid nanofluids under complex conditions, such as a vertical thin cylinder with a sinusoidal wall heat flux. Understanding the behavior of hybrid nanofluids in the presence of a magnetic field and a nonuniform wall heat flow can also lead to the development of innovative heat transfer enhancement strategies.

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Section: Theoretical Formulationmentioning

confidence: 99%

“…It has many potential applications, such as drug delivery, heat exchanger design, cooling, energy generation, etc. [5].…”

Section: Introductionmentioning

confidence: 99%

Implicit Finite Difference Simulation of Hybrid Nanofluid along a Vertical Thin Cylinder with Sinusoidal Wall Heat Flux under the Effects of Magnetic Field

Khan,

Hossain,

Parvin

et al. 2023

Advances in Mathematical Physics

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“…Rashid et al [21] demonstrated a homotopic solution to a hybrid nanofluid's chemically reactive magnetohydrodynamic flow across a rotating disc with Brownian motion and thermophoresis effects. Kalpana et al [22] used a computer method to study the magnetohydrodynamic boundary layer flow of a hybrid nanofluid exhibiting thermophoresis and Brownian motion in a nonuniform channel.…”

Section: Introductionmentioning

confidence: 99%

“…Kalpana et al. [22] used a computer method to study the magnetohydrodynamic boundary layer flow of a hybrid nanofluid exhibiting thermophoresis and Brownian motion in a nonuniform channel.…”

Section: Introductionmentioning

confidence: 99%

Electroosmotic microchannel flow of blood conveying copper and cupric nanoparticles: Ciliary motion experiencing entropy generation using backpropagated networks

Sharma,

Mishra

et al. 2024

Z Angew Math Mech

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A novel mathematical model for a hybrid (Cu–CuO/blood) Jeffrey nanofluid passing a vertical symmetric microchannel along with an electroosmosis pump is presented. The focuses on the advancement of mathematical modeling techniques, its comprehensive analysis of microfluidic system dynamics, and its potential to inform the optimal design of devices using nanofluids with broad applications in various fields. Arrhenius's law is used to analyze endothermic–exothermic reactions and activation energy. The governing partial differential equations of the fixed frame are transformed into ordinary differential equations of the wave frame using self‐similarity transformations. Low Reynolds number and long‐wavelength approximations helped to find solutions of the equations by applying a suitable BVP solver in MATLAB. The fluid's velocity, temperature, concentration, and electroosmosis properties are studied graphically. Two‐dimensional contour plots of fluid velocity and three‐dimensional surface plots of fluid properties are discussed. Physically significant quantities of mass transfer rate, skin friction coefficient, entropy generation, and heat transfer rate are studied using contour plots. Artificial neural network simulation using Bayesian regularization backpropagation algorithms is analyzed for training state, error histogram, fit, performance, and regression plots. Conclusively, the comprehensive analysis of the fluid dynamics, entropy generation, mass and heat transfer, and in the microchannel, coupled with the successful implementation of artificial neural network simulation, contributes to an improved understanding of the system's behavior. Entropy generation was raised for enhanced Brownian motion number and reduced values of thermophoresis, activation energy, and endothermic–exothermic reaction parameters. This study's results can be used to improve the efficiency and effectiveness of microfluidic devices used in fields as diverse as electrical cooling and medicine delivery.

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“…The results show that the applied MF and the PM simultaneously increase the HT rate. Kalpana et al 20 numerically studied the flow characteristics of a hybrid NF (Ag-TiO 2 -Water) in a channel in the presence of an MF. The results of their work showed that regarding the MF, the boundary layer became thinner and increased the HT rate.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of heat transfer of hybrid nanofluid in a porous sinusoidal channel with magnetic field and an alternating heat flux

Sheikhpour

Lavasani

Salehi

2023

Proceedings of the Institution of Mechanical Engineers, Part E:

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Recently, a great amount of research was done on wavy conduits due to the importance of heat and flow transfer in wavy channels and conduits, and their special use in various industries. The improvement of heat transfer in these ducts attracted the attention of many researchers, and experimental and numerical studies are devoted. The effect of the presence of a porous medium and magnetic field on forced convection heat transfer and a nanofluid flow in a complex wave-shaped channel with a special boundary condition (Non-uniform with respect to location) was studied for the first time. For this purpose, the heat transfer of a nanofluid in a two-dimensional sinusoidal channel containing a porous medium in the attendance of a magnetic field was analyzed. First, the nanoparticles were optimized using the design of the experiment method, and then modeling was performed using selected optimal particles. To improve heat transfer in a sinusoidal channel, the factors like the injection of optimized nanoparticles, porous medium, and magnetic field usage were used. The equations were discretized using the Fluent software with a finite volume method. The validation of problem outcomes was done using experimental and numerical studies. Porous medium in four different Darcys (10−5, 10−4, 10−3, and 10−2), and applying magnetic fields in four different Hartman (0, 4, 7, and 10) were examined. The results show that the channel wave, and magnetic field intensity improved heat transfer. Furthermore, using a porous medium with high Darcy can increase the Nusselt number. Hence, in the same conditions (Re = 500, Ha = 10) with Darcy number increasing from 10−5 to 10−2, Nu becomes equal to 5.011. This proposed system is an industrial-utility system that can increase heat transfer efficiency.

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Magnetohydrodynamic boundary layer flow of hybrid nanofluid with the thermophoresis and Brownian motion in an irregular channel: A numerical approach

Cited by 18 publications

References 37 publications

Implicit Finite Difference Simulation of Hybrid Nanofluid along a Vertical Thin Cylinder with Sinusoidal Wall Heat Flux under the Effects of Magnetic Field

Implicit Finite Difference Simulation of Hybrid Nanofluid along a Vertical Thin Cylinder with Sinusoidal Wall Heat Flux under the Effects of Magnetic Field

Electroosmotic microchannel flow of blood conveying copper and cupric nanoparticles: Ciliary motion experiencing entropy generation using backpropagated networks

Numerical analysis of heat transfer of hybrid nanofluid in a porous sinusoidal channel with magnetic field and an alternating heat flux

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