Magnetohydrodynamic fluid flow and heat transfer over a shrinking sheet under the influence of thermal slip

Ahmad, S.Y.; Yousaf, M.; Khan, Amir; Zaman, Gul

doi:10.1016/j.heliyon.2018.e00828

Cited by 16 publications

(12 citation statements)

References 23 publications

(22 reference statements)

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“…Equations governing the natural convective flow of electrically conducting Casson nanofluid under the influence of magnetic field are given in equations (1)(2)(3)(4). subject to the boundary conditions at 7 = 0: = 9 , = 0, −: ) = ℎ ) 2 ) − 5, # = # < !, (5)…”

Section: Governing Equationsmentioning

confidence: 99%

“…The study obtained an analytical solution using the Homotopy Analysis Method (HAM) and showed that thermal boundary layer thickness decreases with increasing Prandtl number. Ahmad et al [2] studied MHD flow with the presence of internal heat source and a numerical investigation indicated that the heat transfer can be reinforced by increasing Prandtl number. In fact, it was observed that increasing thermal slip retards the flow temperature.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

Kigio¹,

Nduku²,

Oke³

2021

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The numerous industrial and engineering applications of Casson nanofluid is due to the superiority of its thermophysical properties. Tomatoes paste, engine oil, soup etc., are examples of Casson fluid and when nanometer-sized particles are suspended in such Casson fluid, it becomes Casson nanofluid. This paper considers a natural convective magnetohydrodynamics flow of Cu-engine oil nanofluid across a convectively heated vertical plate. The effects of self-heating of the fluid (measured by the Eckert number), internal conductive resistance to external convective resistance (measured by the Biot number), magnetic field strength, volume fraction of the nanoparticles on the temperature and velocity of mass and heat transfer of Casson nanofluid is analysed. An appropriate model governing the flow of Casson nanofluid is formulated as a system of nonlinear partial differential equations. The natural convection boundary condition is included. To solve the problem, an appropriate similarity transformation is used to reformulate the system as a system of nonlinear ordinary differential equations. The shooting technique is used to convert the boundary problem to initial value problems before Runge-Kutta method, with the Gills constants, is used to solve the reformulated problem. The results are depicted as graphs. Flow velocity is found to increase as the base fluid becomes more Casson and as nanoparticle volume fraction increases. It is also found that increasing Eckert number, Biot number and magnetic field strength causes an increase in the flow temperature.

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Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

Kigio¹,

Nduku²,

Oke³

2021

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“…Here, u and v defines the velocity components along x and y-axis respectively (Λ₁) for elastic parameter, true(ν1true(badbreak=μρ0.25emtrue)ftrue) for kinematic viscosity, (ρf) for fluid density (Γ₁, Γ₂, Γ₃, Γ₄) for thermal and solutal expansion coefficients depending on linear and nonlinear form, respectively. Cattaneo-Christov heat and mass fluxes [40] are expressed in Eqs. (3) and (4)…”

Section: Modelmentioning

confidence: 99%

Activation energy and dual stratification effects for Walter-B fluid flow in view of Cattaneo-Christov double diffusionon

Ijaz

Ayub

2019

Heliyon

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The purpose of the present article is to explore the novel aspects of activation energy in nonlinearly convective flow of Walter-B nanofluid in view of Cattaneo-Christov double diffusion model over a permeable stretched sheet. Generalized forms of Fourier's and Fick's law are utilized through Cattaneo-Christov double diffusion. Walter-B nanomaterial model is used that describes the significant slip mechanism namely Brownian and thermophoresis diffusions. Double stratification, heat generation/absorption and chemical reaction are considered. Modified Arrhenius formula for activation energy is implemented. The acquired nonlinear system is cracked through homotopic analysis method. Effects of emanating variables are examined through graphs and tables. It is evident that temperature distribution and thermal boundary layer thickness is monotonically dwindling function of thermal stratification parameter , thermal relaxation time and upsurge for the thermophoresis parameter , heat generation/absorption parameter (B₁), Brownian motion parameter . Nanoparticle concentration is directly comparable to the activation energy of reaction and impact of thermal relaxation time is qualitatively opposite to that of thermophoretic force.

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“…Slip boundary conditions play an essential role in the velocity of the fluid surfaces and coasted surfaces. It is considered in some situations like perforated plates and wire nettings, as stated by Bilal [28]. MHD Newtonian fluid flow beyond a shrinking sheet subjected to the thermal slip was studied by Ahmad et al, [29].…”

Section: Introductionmentioning

confidence: 99%

Thermal Radiation in Nanofluid Penetrable Flow Bounded with Partial Slip Condition

Isa

Arifin

Bachok

2021

CFDL

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Thermal radiation enhances heat transfer, and it is used widely in manufacturing and materials processing applications. Thus, steady two-dimensional boundary layer flow over an exponentially porous shrinking sheet of nanofluids was considered in the influence of thermal radiation related to partial slip boundary conditions and suction. This paper aims to study the nanofluid penetrable flow over an exponentially shrinking sheet with thermal radiation and partial slip. The effects of silver (Ag) nanoparticles with two different types of base fluids named water and kerosene oil are investigated in this study. First, the governing equations and boundary conditions are transformed to a non-linear ordinary differential equation and then solved using bvp4c solver. Using Matlab software, it is found that the dual solution exists in some values from the suction parameter. Furthermore, we identified both nanoparticle volume fraction and suction parameter increase, leading to the rise in velocity profile. Moreover, the suction parameter increases both skin friction coefficient and Nusselt number increase.

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Magnetohydrodynamic fluid flow and heat transfer over a shrinking sheet under the influence of thermal slip

Cited by 16 publications

References 23 publications

Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

Activation energy and dual stratification effects for Walter-B fluid flow in view of Cattaneo-Christov double diffusionon

Thermal Radiation in Nanofluid Penetrable Flow Bounded with Partial Slip Condition

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