Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid

Zaimi, Khairy; Ishak, Anuar Mohd; Pop, Ioan

doi:10.1038/srep04404

Cited by 109 publications

(59 citation statements)

References 42 publications

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“…Important work on the boundary layer flow of a nanofluid over a stretching sheet has been reported by Khan and Pop [8], Rana and Bhargava [9] conducted similar research for a nonlinear stretching sheet, Mabood et al [10] reported MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet. Numerous researchers [11][12][13][14][15][16] reported related studies for linear/nonlinear stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Radiation effects on Williamson nanofluid flow over a heated surface with magnetohydrodynamics

Mabood¹,

Ibrahim²,

Lorenzini³

et al. 2017

IJHT

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An analysis is performed for magnetohydrodynamics (MHD) Williamson nanofluid flow over a continuously moving heated surface with thermal radiation and heat source. The governing partial differential equations are transformed into self-similar ordinary differential equations using similarity transformations. The obtained self-similar equations are solved by finite difference method using quasilinearization technique. Mathematical analysis of various physical parameters is presented in graphs. The impact of physical parameters on skin-friction coefficient, reduced Nusselt and Sherwood numbers are shown in tabular and graphical form. Furthermore, comparison of the present analysis is made with the previously existing literature and an appreciable agreement in the values is observed for the limiting case.

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Section: Introductionmentioning

confidence: 99%

Radiation effects on Williamson nanofluid flow over a heated surface with magnetohydrodynamics

Mabood¹,

Ibrahim²,

Lorenzini³

et al. 2017

IJHT

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“…Rana and Bhargava [24] used finite element and finite difference methods for nonlinear stretching sheet problem. Zaimi et al [25] extended the work of Rana and Bhargava and they studied heat transfer and steady boundary layer flow of a nanofluid over a stretching/shrinking sheet. Effect of heat generation or absorption on nanofluid flow over a vertical plate was discussed by Ghalambaz and Noghrehabadi [26].…”

Section: Introductionmentioning

confidence: 95%

MHD flow of dusty nanofluid over a stretching surface with volume fraction of dust particles

Sandeep

Sulochana

2016

Ain Shams Engineering Journal

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In this study we analyzed the momentum and heat transfer behavior of MHD nanofluid embedded with conducting dust particles past a stretching surface in the presence of volume fraction of dust particles. The governing equations of the flow and heat transfer are transformed into nonlinear ordinary differential equations by using similarity transformation and then solved numerically using Runge-Kutta based shooting technique. The effect of non-dimensional governing parameters on velocity and temperature profiles of the flow are discussed and presented through graphs. Additionally friction factor and the Nusselt number have also been computed. Under some special conditions, numerical results obtained by the present study were compared with the existed studies. The result of the present study proves to be highly satisfactory. The results indicate that an increase in the interaction between the fluid and particle phase enhances the heat transfer rate and reduces the friction factor. Ó 2015 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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“…The non-linear coupled equations (11) and (12) along with boundary conditions (13) Rana and Bhargava (2012) and Zaimi et al (2014) figure 2, we can see that two different classes (types) of boundary layers. In the first class, the velocity of fluid inside the boundary layer decreases from the surface towards the edge of the layer ( 1   ) and in the second type the fluid velocity increases from the surface towards the edge ( 1   ).…”

Section: Numerical Solutionmentioning

confidence: 99%

Casson Fluid Flow near the Stagnation Point over a Stretching Sheet with Variable Thickness and Radiation

Ramesh¹,

Prasannakumara²,

Gireesha

et al. 2016

JAFM

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The stagnation-point flow of an incompressible non-Newtonian fluid over a non-isothermal stretching sheet is investigated. Mathematical analysis is presented for a Casson fluid by taking into the account of variable thickness and thermal radiation. The coupled partial differential equations governing the flow and heat transfer are transformed into non-linear coupled ordinary differential equations by a similarity transformation.The transformed equations are then solved numerically by Runge-Kutta-Fehlberg method along with shooting technique. The effects of pertinent parameters such as the Casson fluid parameter, wall thickness parameter, velocity power index, velocity ratio parameter, Prandtl number and radiation parameter have been discussed. Comparison of the present results with known numerical results is shown and a good agreement is observed.

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Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid

Cited by 109 publications

References 42 publications

Radiation effects on Williamson nanofluid flow over a heated surface with magnetohydrodynamics

Radiation effects on Williamson nanofluid flow over a heated surface with magnetohydrodynamics

MHD flow of dusty nanofluid over a stretching surface with volume fraction of dust particles

Casson Fluid Flow near the Stagnation Point over a Stretching Sheet with Variable Thickness and Radiation

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