Effects of thermal radiation and Ohmic dissipation on MHD Casson nanofluid flow over a vertical non-linear stretching surface using scaling group transformation

Pal, Dulal; Roy, Netai; Vajravelu, K.

doi:10.1016/j.ijmecsci.2016.06.002

Cited by 61 publications

(22 citation statements)

References 37 publications

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“…To make the position of origin unchanged, the lower plate is stretched linearly with the velocity u 0 = ax (a > 0) by two equal and opposite forces. The rheological model of an isotropic Casson fluid is given by [30]…”

Section: Basic Governing Equationsmentioning

confidence: 99%

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Anomalous diffusion in rotating Casson fluid through a porous medium

Liu

Zheng

Lin

et al. 2019

Physica A: Statistical Mechanics and its Applications

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This paper investigates the space-fractional anomalous diffusion in unsteady Casson fluid through a porous medium, based on an uncoupled continuous time random walk. The influences of binary chemical reaction and activation energy between two horizontal rotating parallel plates are taken into account. The governing equations of motion are reduced to a set of nonlinear differential equations by time derivatives discretization and generalized transformation, which are solved by bvp4c and implicit finite difference method (IFDM). Stability and convergence of IFDM are proved and some numerical comparisons to the previous study are presented with excellent agreement. The effects of involved physical parameters such as fractional derivative parameter, rotation parameter and time parameter are presented and analyzed through graphs. Results indicate that the increase of fractional derivative parameter triggers concentration increase near the lower plate, while it causes a reduction near the upper plate. It is worth mentioning that the decrease of heat transfer rate on the plate is seen with the higher time parameter.

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Section: Basic Governing Equationsmentioning

confidence: 99%

“…, N τ . Forward difference approximation is utilized for advection term and classical L2 approximation is used to diffusion term [34] in (30). The φ n (0) of the boundary condition (32) is discretized by forward difference approximation of φ n (0) = (φ n 1 − φ n 0 )/h + O(h).…”

Section: Solution Of Convection Anomalous Diffusion Problem By Ifdm 3mentioning

confidence: 99%

Anomalous diffusion in rotating Casson fluid through a porous medium

Liu

Zheng

Lin

et al. 2019

Physica A: Statistical Mechanics and its Applications

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“…The 3D flow of water-based SWNT and MWCNT nanofluids due to slendering nonlinear stretching sheet with slip effects were covered by Hayat et al [11]. Many researchers [7,12,15,21,23,[26][27][28]34,35] investigated the different flow problems over a stretching surface.…”

Section: Introductionmentioning

confidence: 99%

Influence of Soret and Dufour effects on unsteady 3D MHD slip flow of Carreau nanofluid over a slendering stretchable sheet with chemical reaction

Reddy

Chamkha

2019

NAMC

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This paper presents a numerical exploration on the unsteady three-dimensional hydromagnetic flow of Carreau nanofluid over a slendering stretchable sheet in the presence of thermal radiation and chemical reaction. Furthermore, the effects of velocity slip, thermal slip, solutal slip, Soret and Dufour are taken into account. The prevailing time-dependent partial differential equations are metamorphosed into a system of coupled nonlinear ordinary differential equations by using the appropriate similarity transformations. The resultant nonlinear coupled differential equations are solved numerically by using the Runge–Kutta fourth-order method along with shooting scheme. The sway of sundry parameters on velocity, temperature, concentration, shear stress, temperature gradient and concentration gradient has been premeditated, and numerical results are presented graphically and in tabular form. Comparison amid the previously published results, and the current numerical results are made for the limiting cases, which are found to be in a virtuous agreement.

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“…HAM method was employed and the influences of various pertinent parameters were examined on the flow and temperature fields. Recently, MHD flow of Casson nanofluid was analyzed over a non-linear stretching surface where thermal radiation and Ohmic dissipation are included in the study [20].…”

Section: Introductionmentioning

confidence: 99%

Flow and convective heat transfer of Casson fluid between squeezing porous disks in the presence of thermal radiation, viscous dissipation, and variable heat source/sink

Ahmadpour

Nasiri

Khazayinejad

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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In the present study, the combined effect of non-uniform heat source/sink, suction/injection, thermal radiation, and viscous dissipation is investigated on the unsteady squeezing flow and heat transfer of non-Newtonian Casson fluids. By means of a suitable similarity transformation, the governing equations are converted to a set of non-linear ordinary differential equations which are solved analytically applying Homotopy perturbation method. In addition, convergence of the derived solution is examined by comparing the analytical solution with a corresponding numerical solution obtained by the fourthorder Runge-Kutta method. An excellent agreement is observed between the analytical and numerical results. The influences of relevant parameters on the velocity and temperature fields, skin friction coefficient, and local Nusselt number are demonstrated in details. The results reveal that temperature is an increasing function of the heat generation parameter. Furthermore, the velocity and temperature profiles grow with increase the suction parameter.

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Effects of thermal radiation and Ohmic dissipation on MHD Casson nanofluid flow over a vertical non-linear stretching surface using scaling group transformation

Cited by 61 publications

References 37 publications

Anomalous diffusion in rotating Casson fluid through a porous medium

Anomalous diffusion in rotating Casson fluid through a porous medium

Influence of Soret and Dufour effects on unsteady 3D MHD slip flow of Carreau nanofluid over a slendering stretchable sheet with chemical reaction

Flow and convective heat transfer of Casson fluid between squeezing porous disks in the presence of thermal radiation, viscous dissipation, and variable heat source/sink

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