A numerical study of magnetohydrodynamic transport of nanofluids over a vertical stretching sheet with exponential temperature-dependent viscosity and buoyancy effects

Akbar, Noreen Sher; Tripathi, Dharmendra; Khan, Zafar Hayat; Bég, O. Anwar

doi:10.1016/j.cplett.2016.08.043

Cited by 95 publications

(43 citation statements)

References 51 publications

(39 reference statements)

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“…It is clear that with the increasing values of S 1 and S 2 , the decrement in temperature is possible so it can be controlled by controlling the values of the stratification parameters. Figures 8 and 9 show the impact of the viscosity parameter λ and Nb on the concentration and temperature profiles; by increasing the values of the Brownian motion parameter, the thermal boundary layer thickness increases in both cases while the effect is opposite in the concentration and temperature profiles, as in the presence of nanoparticles, the nanofluids have a better thermal conductivity compared to water as the base fluid [37]. From Figure 10, it can be seen that as the values of the thermophoresis parameter Nt increase, a remarkable increment in the concentration profile is seen, and this was found throughout the boundary layer.…”

Section: Resultsmentioning

confidence: 99%

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Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

2020

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In this mathematical study, magnetohydrodynamic, time-independent nanofluid flow over a stretching sheet by using the Cattaneo-Christov heat flux model is inspected. The impact of the thermal, solutal boundary and gravitational body forces with the effect of double stratification on the mass flow and heat transfer phenomena is also observed. The temperature-dependent viscosity impact on heat transfer through a moving sheet with capricious heat generation in nanofluids have studied, and the viscosity of the fluid is presumed to deviate as the inverse function of temperature. With the appropriate transformations, the system of partial differential equations is transformed into a system of nonlinear ordinary differential equations. By applying the variational finite element method, the transformed system of equations is solved. The properties of the several parameters for buoyancy, velocity, temperature, stratification, and Brownian motion parameters have examined. The enhancement in the concentration and thermal boundary layer thickness of the nanofluid sheet due to the increment in the viscosity parameter, also increased the temperature and concentration of nanoparticles. Moreover, the fluid temperature declined with the increasing values of thermal relaxation parameter. This displays that the Cattaneo-Christov heat flux model provides a better assessment of temperature distribution. Moreover, confirmation of the code and precision of the numerical method has inveterate with the valuation of the presented results with previous studies.

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Section: Resultsmentioning

confidence: 99%

“…Normally, the stream function ψ is stated as, u = ∂ψ ∂y and v = − ∂ψ ∂x . To solve the system of Equations (1)-(4) with boundary conditions (5), we substitute the similarity transformations as shown below [37];…”

Section: Problem Descriptionmentioning

confidence: 99%

Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

2020

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“…Sheikholeshlami et al [18] have described a semi-porous channel nanofluid flow with MHD effect. Akbar et al [19] have discussed nanofluid flow in the existence of buoyancy and viscosity effects with MHD from a straight up stretching sheet. Fakour et al [20] have investigated nanofluid through an erect channel.…”

Section: Introductionmentioning

confidence: 99%

Darcy-Forchheimer flow of MHD nanofluid thin film flow with Joule dissipation and Navier’s partial slip

et al. 2018

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In this paper investigation is carried out on two dimensional liquid film with heat generation/ absorption and variable heat transmission of nanofluid MHD flow on an unsteady stretching sheet. Flow of nanofluid phenomenon is model from the basic governing time-dependent equations. By the use of suitable similarity transformation, these basic equations are transformed to differential equations system. The nanofluid is supposed to slip along the boundary of the sheet. To find the solution of the transformed modeled equations Homotopy Analysis technique is used. A numerical survey is presented for the convergence of the implemented technique. Effects of variations of different influential parameters like Nu number and Cf x for fluid flow of liquid film with mass and heat transfer is observed. The effect of unsteadiness parameter S over thin film is explored analytically for different values. It is investigated that for large values of M that the nanofluid films velocity distribution decreases,where increase in the value of K 1 , a reduction in the porous medium permeability. Thickness of thermal boundary layer decreases with increasing values of S, while increase of radiation parameter,

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“…However, some interesting extensions of Crane'smodelforboundary layer flow of nanofluids have recently investigated, see examples [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. The first boundary layer flow model for nanofluids flow past stretching sheet was presented by Khan and Pop [16] which was extended for a convective boundary condition [17], nonlinear stretching sheet [18], unsteady stretching surface [19], micropolar nanofluid flow [20], magneto-convective non-Newtonian nanofluid slip flow over permeable stretching sheet [21], Non-aligned MHD stagnation point flow of variable viscosity nanofluids [22], Stagnation electrical MHD mixed convection [23], exponential temperature-dependent viscosity and buoyancy effects [24], thermo-diffusion and thermal radiation effects on Williamson nanofluid flow [25], magnetic dipole and radiation effects on viscous ferrofluid flow [26], transient ferromagnetic liquid flow [27], magnetohydrodynamic Oldroyd-B nanofluid [28], spherical and non-spherical nanoparticles effects [29], three dimensional free convective magnetohydrodynamics [30]. Moreover, some works [31][32][33][34] extended Khan and Pop's model for CNTs nanofluids where combined effects of slip and convective boundary conditions have been discussed [31], convective heat transfer in MHD slip flow has been studied [32], nonlinear stretching sheet with variable thickness has been considered…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Nanoparticles with Variable Viscosity over a Stretching Sheet

Akbar¹,

Tripathi²,

Khan³

2018

Numerical Simulations in Engineering and Science

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The effects of different types of base fluids on carbon nanotube (CNT) nanofluids flow over a circular stretching sheet are numerically analyzed. The nonlinear variation of radial velocity in radial direction is assumed at surface of stretching sheet. The temperature dependent fluid viscosity is taken into consideration. Two different types of flows (assisting flow and opposing flow) are discussed under the buoyant force effects. Single walled CNT and multi walled CNT are considered as nanoparticles for better thermal conductivity of the nanofluids. A set of similarity transformations to convert the partial differential equations into ordinary differential equations is hired. The non-linear ODEs are numerically solved by employing fourth order Runge-Kutta method. Discussions of numerical simulations for flow characteristics have been made appropriately. A comparative study for various type of base fluids like kerosene, engine oil and ethylene glycol is also presented. From the predicted simulation, it is observed that the variation in Nusselt number is maximum for engine oil and minimum for kerosene oil however, the variation in skin friction coefficient is largest for kerosene oil and least for engine oil. Furthermore, numerical results are also validated with achieving a good correlation with existing results.

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A numerical study of magnetohydrodynamic transport of nanofluids over a vertical stretching sheet with exponential temperature-dependent viscosity and buoyancy effects

Abstract: ABSTRACT

Cited by 95 publications

References 51 publications

Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

Darcy-Forchheimer flow of MHD nanofluid thin film flow with Joule dissipation and Navier’s partial slip

Numerical Simulation of Nanoparticles with Variable Viscosity over a Stretching Sheet

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