Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

Nadeem, S.; Haq, Rizwan Ul; Khan, Zafar Hayat

doi:10.1007/s13204-013-0235-8

Cited by 118 publications

(65 citation statements)

References 19 publications

(16 reference statements)

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“…The governing partial differential equations are first transformed into a system of ordinary differential equations before being solved numerically. The results are then compared with those obtained by Khan and Pop 6 and Nadeem et al 16 for some particular cases of the present study, to support their validity. This problem is relevant to several practical applications in the field of metallurgy, chemical engineering, etc.…”

Section: Introductionsupporting

confidence: 80%

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Magnetohydrodynamic Flow of a Non-Newtonian Nanofluid Over an Impermeable Surface with Heat Generation/Absorption

Ramesh¹,

Chamkha²,

Gireesha³

2014

J Nanofluids

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An analysis has been carried out to study the magnetohydrodynamic boundary layer flow and heat transfer characteristics of a non-Newtonian nanofluid over a flat sheet in the presence of heat generation/absorption. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformations and then tackled numerically using the RungeKutta-Fehlberg-45 method. The velocity, temperature and nanoparticle concentration profiles are analyzed with respect to the involved parameters, namely, Prandtl number Pr, magnetic parameter M, source/sink parameter A, Brownian motion parameter N b , thermophoresis parameter N t and Lewis number Le. It is found that the temperature of the fluid increases with the increase in heat source parameter and decreases with heat sink parameter.

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Section: Introductionsupporting

confidence: 80%

“…In this paper, we present an analysis which may be regarded as an extension of the work of Nadeem et al 16 by considering the effects of MHD and heat generation or absorption. The governing partial differential equations are first transformed into a system of ordinary differential equations before being solved numerically.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Flow of a Non-Newtonian Nanofluid Over an Impermeable Surface with Heat Generation/Absorption

Ramesh¹,

Chamkha²,

Gireesha³

2014

J Nanofluids

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“…He also depicted the collaborative effects of temperature-dependent viscosity. A few recent studies exploring the the characteristics of nanofluids may be found in [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Effect of Slip Conditions and Entropy Generation Analysis with an Effective Prandtl Number Model on a Nanofluid Flow through a Stretching Sheet

Rashidi

Abbas

2017

Entropy

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This article describes the impact of slip conditions on nanofluid flow through a stretching sheet. Nanofluids are very helpful to enhance the convective heat transfer in a boundary layer flow. Prandtl number also play a major role in controlling the thermal and momentum boundary layers. For this purpose, we have considered a model for effective Prandtl number which is borrowed by means of experimental analysis on a nano boundary layer, steady, two-dimensional incompressible flow through a stretching sheet. We have considered γAl 2 O 3 -H 2 O and Al 2 O 3 -C 2 H 6 O 2 nanoparticles for the governing flow problem. An entropy generation analysis is also presented with the help of the second law of thermodynamics. A numerical technique known as Successive Taylor Series Linearization Method (STSLM) is used to solve the obtained governing nonlinear boundary layer equations. The numerical and graphical results are discussed for two cases i.e., (i) effective Prandtl number and (ii) without effective Prandtl number. From graphical results, it is observed that the velocity profile and temperature profile increases in the absence of effective Prandtl number while both expressions become larger in the presence of Prandtl number. Further, numerical comparison has been presented with previously published results to validate the current methodology and results.

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“…In the recent years, boundary layer flow of non-Newtonian fluids over a stretching surface has received special attention from the researchers (Ellahi et al 2012;Nadeem et al, 2014;Bose et al, 2015;Akbar et al, 2016;Sahoo, 2010). This is because of their advanced industrial, engineering science and technological applications such as glass fibber, wire drawing, paper production, extrusion of plastic sheet, hot rolling, drawing of plastic films and many others.…”

Section: Introductionmentioning

confidence: 99%

Soret and Dufour Effects on MHD Radiative Heat and Mass Transfer Flow of a Jeffrey Fluid Over a Stretching Sheet

Narayana¹,

Babu²,

Venkateswarlu³

2017

Frontiers in Heat and Mass Transfer

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This paper studies the combined effects of Soret (thermal-diffusion) and Dufour (diffusion-thermo) on magnetohydrodynamics (MHD) boundary layer flow of a Jeffrey fluid past a stretching surface with chemical reaction and heat source. Using the similarity transformations, the governing equations are transformed into a set of non-linear ordinary differential equations (ODE's). The resulting equations are then solved numerically by using the shooting method along with Runge-Kutta fourth order integration scheme. Numerical results for the velocity, temperature and concentration distributions as well as the skin-friction coefficient, Nusselt number and Sherwood number are discussed in detail and displayed graphically for various physical parameters. The results indicate that the influence of Soret and Dufour numbers are significantly active in the study of nonNewtonian fluid flows. The accuracy of the numerical method is tested by comparing with previously published work as a limiting case (for viscous flow) and the results are found to be in excellent agreement.

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Numerical solution of non-Newtonian nanofluid flow over a stretching sheet

Cited by 118 publications

References 19 publications

Magnetohydrodynamic Flow of a Non-Newtonian Nanofluid Over an Impermeable Surface with Heat Generation/Absorption

Magnetohydrodynamic Flow of a Non-Newtonian Nanofluid Over an Impermeable Surface with Heat Generation/Absorption

Effect of Slip Conditions and Entropy Generation Analysis with an Effective Prandtl Number Model on a Nanofluid Flow through a Stretching Sheet

Soret and Dufour Effects on MHD Radiative Heat and Mass Transfer Flow of a Jeffrey Fluid Over a Stretching Sheet

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