Numerical study of the onset of chemical reaction and heat source on dissipative MHD stagnation point flow of Casson nanofluid over a nonlinear stretching sheet with velocity slip and convective boundary conditions

Ibrahim, S. Mohammed; Kumar, P. Vijaya; Lorenzini, Giulio; Lorenzini, Enrico; Mabood, Fazle

doi:10.1134/s1810232817020096

Cited by 52 publications

(32 citation statements)

References 29 publications

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“…For validation purpose numerical outcomes of the proposed numerical technique along with exact solution which can be are used in the previous section by correlating with the literature survey outcomes. Mainly the outcomes of skin friction coefficient which are obtained by the proposed methods are compared with Oyelakin et al [11] and Ibrahim et al [12] by varying the Casson fluid parameter values and without magnetic parameter and suction/injection parameter effects and shown in the Table 1. By this examination it very well may be seen that there exist a decent understanding between the acquired outcomes and earlier studies.…”

Section: Validation Of the Outcomesmentioning

confidence: 99%

Exact and Numerical Solutions for MHD Boundary Layer Flow of Casson Fluid Over a Stretching Sheet

2019

IJEAT

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The present examination is considered to research the steady, boundary layer flow of Casson fluid over a stretching sheet by taking into consideration of suction and injection effects. External magnetic field which is uniform is act on the present model. In fact the nonlinear differential equations are derived from the present flow by utilizing the appropriate transformations. Thereafter exact and numerical solutions are obtained. Impacts of flow influenced parameters of present study for instance Casson fluid parameter, magnetic parameter, suction and injection are analyzed by means of graphs and tables. After that, numerical outcomes which are get hold of by the convergent technique i.e. fourth order Runge-Kutta method with shooting technique and exact solutions are validated by comparing the existing literature. From this comparison there exist a good correlation between present analysis and literature. The outcomes demonstrate that mainly, velocity of the fluid is diminished for increasing estimations of Casson fluid parameter and impact of parameter of magnetic field.

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Section: Validation Of the Outcomesmentioning

confidence: 99%

Exact and Numerical Solutions for MHD Boundary Layer Flow of Casson Fluid Over a Stretching Sheet

2019

IJEAT

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“…If the initial approximations, auxiliary linear operators and non-zero auxiliary parameters are chosen in such a way that the series (25) to (28)…”

Section: Hammentioning

confidence: 99%

“…The obtained model was solved by HAM. It has been evinced that this technique is a magnificent approach in dealing with various problems [26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

The study of three dimensional radiative MHD Casson nanofluid over an exponential porous stretching sheet with heat source under convective boundary conditions

Kumar¹,

Ibrahim²,

Lorenzini³

2018

IJHT

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The aspire of this study is to analyse the magnetohydrodynamic (MHD) three dimensional flow of nanofluid induced by an exponentially stretching sheet in the presence of radiation and heat source. Casson fluid model is espoused in this discussion. The repercussion of porous matrix on the Casson nanofluid is also considered. Analysis is carried out when the surface shows convective condition. Brownian motion and thermophoresis effects are considered. Governing equations are evolved and converted into ordinary differential equations using similarity transformations. We adopted homotopy analysis method (HAM) to pick up the solutions. Impact of various parameters is displayed through graphs and tables and discussed in detail. Dual solutions are established by taking Casson and Newtonian fluids. A comparison is made and the correspondence between the acquired and previous results reveals that they are in good correlation.

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“…In the articulations of fluid-like as suspension, emulsion foams, and polymer solution, Abbas et al [20] deliberated the consequences of radiation in the existence of a uniform magnetic field of nano-fluid on the curved stretching surface by integrating the slip effect. In recent times, Makinde et al [21] deliberated a numerical study of the effects of radiation on chemically reacting MHD nano-fluid prejudiced by the heat source/sink, and the collective heat and mass transfer analysis aimed at mixed convection flow over the vertical surface, with radiation and chemical reaction explained by Ibrahim et al [22]. Prasannakumara et al [23] deliberated the velocity slip effects, temperature jump, solutal slip, and thermal radiation, on steady flow, and the transfer of heat and mass of incompressible Jeffrey nano-fluid over the horizontal stretching surface.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Thermo-Diffusion and Multi-Slip Effects on MHD Unsteady Flow of Casson Nano-Fluid over a Shrinking/Stretching Sheet with Radiation and Heat Source

et al. 2019

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In this article, we probe the multiple-slip effects on magnetohydrodynamic unsteady Casson nano-fluid flow over a penetrable stretching sheet, sheet entrenched in a porous medium with thermo-diffusion effect, and injection/suction in the presence of heat source. The flow is engendered due to the unsteady time-dependent stretching sheet retained inside the porous medium. The leading non-linear partial differential equations are transmuted in the system of coupled nonlinear ordinary differential equations by using appropriate transformations, then the transformed equations are solved by using the variational finite element method numerically. The velocity, temperature, solutal concentration, and nano-particles concentration, as well as the rate of heat transfer, the skin friction coefficient, and Sherwood number for solutal concentration, are presented for several physical parameters. Next, the effects of these various physical parameters are conferred with graphs and tables. The exact values of flow velocity, skin friction, and Nusselt number are compared with a numerical solution acquired with the finite element method (FEM), and also with numerical results accessible in literature. In the end, we rationalize the convergence of the finite element numerical solution, and the calculations are carried out by reducing the mesh size. Appl. Sci. 2019, 9, 5217 2 of 21 partial velocity slip can occur on the stretching boundary. In an assortment of industry procedures, the influences of slip can crop-up at the boundary of pipes, surfaces, and walls. The Navier Stoke velocity slip conditions are customary to approach in the study of slip phenomenon.There are hundreds of applications in industries and engineering, and magneto-hydrodynamic fluid flows through stretching sheet have achieved much importance in recent days, according to Mabbod et al. [3]. Applications as well as the liquid coating on the photographic films, boundary layers throughout the liquid film in the concentration procedure, and the aerodynamic excrescence of plastic sheets exist. With this, the extensive range of applications of magnetohydrodynamic flow that can be found in copious fields like in electronic cooling process, in boilers, heat lagging, and metal extrusion, geothermal system, nuclear process, micro-magnetohydrodynamic pumps, underground water system, in energy storage units, biological conveyance, and in the thermal energy procedure has played a very important role. Unsteady flow due to the stretching sheet has been scrutinized by Pop and Na [4]. Afterward, Sheridan et al. [5] investigated the significance of variable wall temperature and variable heat flux in the boundary layer flow over the unsteady stretching surface with similarity transformation. An unsteady stagnation point flow of the viscous fluid caused by a stretching sheet under the influence of slip condition has been reported by Bhattacharyya et al. [6]. The impact of the magnetic field on the two-dimensional flow of nano-fluid with and without slip condition was conferred b...

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Numerical study of the onset of chemical reaction and heat source on dissipative MHD stagnation point flow of Casson nanofluid over a nonlinear stretching sheet with velocity slip and convective boundary conditions

Cited by 52 publications

References 29 publications

Exact and Numerical Solutions for MHD Boundary Layer Flow of Casson Fluid Over a Stretching Sheet

Exact and Numerical Solutions for MHD Boundary Layer Flow of Casson Fluid Over a Stretching Sheet

The study of three dimensional radiative MHD Casson nanofluid over an exponential porous stretching sheet with heat source under convective boundary conditions

Finite Element Analysis of Thermo-Diffusion and Multi-Slip Effects on MHD Unsteady Flow of Casson Nano-Fluid over a Shrinking/Stretching Sheet with Radiation and Heat Source

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