Nonlinear Radiation Heat Transfer Effects in the Natural Convective Boundary Layer Flow of Nanofluid Past a Vertical Plate: A Numerical Study

Mustafa, M.; Mushtaq, Ammar; Hayat, Tasawar; Ahmad, Bashir

doi:10.1371/journal.pone.0103946

Cited by 75 publications

(37 citation statements)

References 51 publications

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“…Mustafa et.al. [19] Runge-Kutta fourth -fifth order method with shooting technique to explore the steady boundary layer flow of nanofluid past a vertical plate with nonlinear radiation. Numerical solution for steady boundary layer flow of dusty fluid over a radiating stretching surface embedded in a thermally stratified porous medium in the presence of uniform heat source was studied by Gireesha et.al.…”

Section: Vidyanadha Babu and M Suryanarayana Reddymentioning

confidence: 99%

Effects of Thermal Radiation and Viscous Dissipation on Powell-Eyring Nanofluid with Variable Thickness

et.al.¹

2017

IJMPERD

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Section: Vidyanadha Babu and M Suryanarayana Reddymentioning

confidence: 99%

Effects of Thermal Radiation and Viscous Dissipation on Powell-Eyring Nanofluid with Variable Thickness

et.al.¹

2017

IJMPERD

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“…Kumar et al [11] discussed the effects of non-linear thermal radiation on Williamson fluid on a stretching surface. Mushtaq et al [12] analyzed the impacts of non-linear thermal radiation on the flow of nanofluid. A glance at the recently published literature shows that various aspects of convective heat transfer flow with magnetic field and thermal radiation have been investigated by several researchers [13][14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic flow of a Carreau fluid in a curved channel with non-linear thermal radiation

2019

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The study depicts the variations in the hydromagnetics flow of a Careau fluid in a semi permeable curved channel with convective boundary condition. Furthermore, Rosseland approximation is also considered to analyze the non-linear thermal radiation effects. Curvilinear co-ordinates system has been adopted for the mathematical modeling of the flow equations. The attained set of governing equation are then converted into non-linear dimensionless differential equations, by making use of similarity variables which are later treated by shooting method. In addition, the Newton's Raphson method is also incepted to improve the accuracy of the obtained numerical result. The velocity field and temperature distributions are affected by various involved parameter which are presented in graphs and in table form. It is noticed that the velocity profiles are influenced by the change in the Weissenberg number

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“…Ishak, 13 Samyuktha et al, 14 Rasool et al, 15 and Pantokratoras et al 16 extended the linearized Rosseland approximation to a nonlinear form for both small and large temperature differences. Studies that use the nonlinear Rosseland approximation include Mustafa et al 17 and Javed et al 18 A chemical reaction may be homogeneous or heterogeneous, or both, depending on its occurrence at an interface or in a single-phase volume reaction. Homogeneous and heterogeneous reactions occur in biochemical systems, combustion, and catalysis.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous–heterogeneous reactions in flow past a horizontal circular cylinder with an induced magnetic field and nonlinear thermal radiation

Oyelakin

Sibanda

2019

Heat Trans

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In this study, we investigate the steady, two-dimensional, incompressible viscous boundary layer flow of an electrically conducting Casson fluid over a horizontal circular cylinder. The cylinder is impermeable and the flow is assumed to be subject to homogeneous-heterogeneous reactions. The homogeneous-heterogeneous reactions are also assumed to have unequal diffusion coefficients. The novelty in this study is in the consideration of a nonlinear radiative flux together with Joule heating and an induced magnetic field. The magnetodynamic pressure gradient in induced magnetic flows is important as it gives insights into the boundary layer characteristics. The flow velocity and the magnetic field in the free stream are assumed to be uniform and directed vertically over the cylinder. The partial differential equations are solved using the bivariate spectral quasi-linearization method. An analysis and comparison of results with existing literature are provided. Among the findings, we show, inter alia, that the reactants dominate while the autocatalysts have a negligible impact on the flow progression. The skin friction coefficient decreases with an increase in the Casson parameter and increases when the Joule heating parameter is increased. The rate of heat transfer increases with increasing the Casson parameter and decreases when the Joule heating parameter is increased.bivariate spectral quasi-linearization method, homogeneous-heterogeneous, induced magnetic field, nonlinear radiative flux, unequal diffusivities

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Nonlinear Radiation Heat Transfer Effects in the Natural Convective Boundary Layer Flow of Nanofluid Past a Vertical Plate: A Numerical Study

Cited by 75 publications

References 51 publications

Effects of Thermal Radiation and Viscous Dissipation on Powell-Eyring Nanofluid with Variable Thickness

Effects of Thermal Radiation and Viscous Dissipation on Powell-Eyring Nanofluid with Variable Thickness

Hydromagnetic flow of a Carreau fluid in a curved channel with non-linear thermal radiation

Homogeneous–heterogeneous reactions in flow past a horizontal circular cylinder with an induced magnetic field and nonlinear thermal radiation

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