Optimized analytical solution for oblique flow of a Casson-nano fluid with convective boundary conditions

Nadeem, S.; Mehmood, Rashid; Akbar, Noreen Sher

doi:10.1016/j.ijthermalsci.2013.12.001

Cited by 130 publications

(62 citation statements)

References 27 publications

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“…The Casson fluid model was discovered by Casson in 1959 for the prediction of the flow behavior of pigmentoil suspensions [26]. Boundary layer flow of Casson fluid and Casson nanofluid flow over different geometries was considered by many authors [27][28][29][30]. Mustafa et al [27] analytically discussed the unsteady boundary layer flow of a Casson fluid over a moving flat plate using the homotopy analysis method (HAM).…”

Section: Introductionmentioning

confidence: 99%

“…Mustafa et al [27] analytically discussed the unsteady boundary layer flow of a Casson fluid over a moving flat plate using the homotopy analysis method (HAM). Nadeem et al [28] examined the analytical solution of convective boundary conditions for the steady stagnationpoint flow of a Casson nanofluid. Makanda et al [29] studied the numerical solution of MHD Casson fluid flow over an unsteady stretching surface saturated in a porous medium with a chemical reaction effect.…”

Section: Introductionmentioning

confidence: 99%

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The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Afify

2017

Mathematical Problems in Engineering

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The impacts of multiple slips with viscous dissipation on the boundary layer flow and heat transfer of a non-Newtonian nanofluid over a stretching surface have been investigated numerically. The Casson fluid model is applied to characterize the non-Newtonian fluid behavior. Physical mechanisms responsible for Brownian motion and thermophoresis with chemical reaction are accounted for in the model. The governing nonlinear boundary layer equations through appropriate transformations are reduced into a set of nonlinear ordinary differential equations, which are solved numerically using a shooting method with fourth-order Runge-Kutta integration scheme. Comparisons of the numerical method with the existing results in the literature are made and an excellent agreement is obtained. The heat transfer rate is enhanced with generative chemical reaction and concentration slip parameter, whereas the reverse trend is observed with destructive chemical reaction and thermal slip parameter. It is also noticed that the mass transfer rate is boosted with destructive chemical reaction and thermal slip parameter. Further, the opposite influence is found with generative chemical reaction and concentration slip parameter.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Afify

2017

Mathematical Problems in Engineering

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“…We obtain the solution for f pζq from solving Equation (31) and Equations (10) and (11) are now linear; therefore we will apply Chebyshev pseudo-spectral method directly, and by doing so we get BH " S,…”

Section: Methodsmentioning

confidence: 99%

Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface

Bhatti

Abbas

Rashidi

et al. 2016

Entropy

130

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Abstract:In this article, entropy generation of an Eyring-Powell nanofluid through a permeable stretching surface has been investigated. The impact of magnetohydrodynamics (MHD) and nonlinear thermal radiation are also taken into account. The governing flow problem is modeled with the help of similarity transformation variables. The resulting nonlinear ordinary differential equations are solved numerically with the combination of the Successive linearization method and Chebyshev spectral collocation method. The impact of all the emerging parameters such as Hartmann number, Prandtl number, radiation parameter, Lewis number, thermophoresis parameter, Brownian motion parameter, Reynolds number, fluid parameter, and Brinkmann number are discussed with the help of graphs and tables. It is observed that the influence of the magnetic field opposes the flow. Moreover, entropy generation profile behaves as an increasing function of all the physical parameters.

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“…Mukhopadhyay [31] discussed the combined effects of suction/blowing and thermal radiation on Casson fluid flow and heat transfer past an unsteady stretching surface. Nadeem et al [32] obtained analytical solution for oblique flow of Casson nanofluid, while Haq et al [33] studied the Casson nanofluid flow past a shrinking sheet. Mustafa and Khan [34] presented a model for Casson nanofluid flow towards a nonlinear stretching sheet in the presence of magnetic field.…”

Section: Introductionmentioning

confidence: 99%

MHD slip flow and heat transfer of Casson nanofluid over an exponentially stretching permeable sheet

Ghosh¹,

Mukhopadhyay²

2017

Int. J. Automot. Mech. Eng.

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The aim of the present paper is to discuss the boundary layer flow induced in a nanofluid due to a stretching permeable sheet in the presence of a magnetic field. Instead of no-slip boundary conditions, slips at the boundary have been considered. Casson fluid model was used to characterise the non-Newtonian fluid behaviour. The effects of Brownian motion and thermophoresis on heat and mass transfer were considered. Using similarity transformations, the governing partial differential equations were transformed into ordinary ones. The self-similar equations were then solved numerically using shooting technique with fourth order Runge-Kutta method. The solutions for velocity, temperature and concentration fields depended on the pertinent parameters. It was observed that the velocity decreased but the temperature and nanoparticle volume fraction increased with the increase of Casson fluid parameter. With the increase in velocity slip parameter as well as magnetic parameter, fluid velocity decreased. Due to increase in thermal slip, temperature decreased and with the increase in mass slip parameter, concentration also decreased. Temperature was found to increase but the nanoparticle volume fraction decreased due to the Brownian motion. On the other hand, temperature and nanoparticle volume fraction were both found to increase with the increase of thermophorosis parameter as well as with the increasing strength of magnetic parameter. Thus, velocity slip at the boundary and magnetic parameter acted as flow controlling parameters. It is believed that this type of investigation is very much helpful for the manufacturing of complex fluids and also for cleaning oil from surfaces.

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Optimized analytical solution for oblique flow of a Casson-nano fluid with convective boundary conditions

Cited by 130 publications

References 27 publications

The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface

MHD slip flow and heat transfer of Casson nanofluid over an exponentially stretching permeable sheet

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