Combined effects of Brownian motion and thermophoresis parameters on three-dimensional (3D) Casson nanofluid flow across the porous layers slendering sheet in a suspension of graphene nanoparticles

Durgaprasad, P.; Varma, S. V. K.; Hoque, Mohammad Mainul; Raju, C. S. K.

doi:10.1007/s00521-018-3451-z

Cited by 41 publications

(17 citation statements)

References 41 publications

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“…The physical configuration is given in Figure 1. The resulting boundary layer equations are (Eid and Mahny [11], Sarojamma et al [12] and Durgaprasad et al [18])…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The 3-D flow of non-Newtonian fluids via the stretching surface also has the majority of applications in civil engineering, solar energy and peristalsis blood flow through the valves. In a suspension of graphene nanoparticles, Durgaprasad et al [18] studied the combined effects of Brownian motion and thermophoresis parameters on Casson's three-dimensional nanofluid flow across porous layers slendering sheets. Raju et al [19] investigated the flow of heat and mass transfer in Williamson-Casson 3-D fluids over a stretching surface with non-uniform heat sink/source.…”

Section: Introductionmentioning

confidence: 99%

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Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

Ganga¹,

Charles²,

Nadeem³

2021

J. Appl. Math. Comput. Mech.

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The three-dimensional magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid over a stretching surface set into a porous medium with variable thermal conductivity and heat generation/absorption has been researched. Conservation laws of mass, momentum and energy are changed into ordinary differential equations, which are numerically dealt with by applying the fourth order Runge-Kutta integration scheme in relationship with shooting procedure. The dimensionless velocity, temperature, skin friction coefficient and the local Nusselt number inside the boundary layer are processed and examined through tables and illustrations for various physical parameters. The numerical outcomes obtained for the specific case are sensible in great concurrence with the existing results. Results indicate that momentum boundary layer reduces for the Hartman number and Casson fluid parameter. Temperature is found as an enlightened function for the heat generation and thermal conductivity parameter.

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“…The physical configuration is given in Figure 1. The resulting boundary layer equations are (Eid and Mahny [11], Sarojamma et al [12] and Durgaprasad et al [18])…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

Ganga¹,

Charles²,

Nadeem³

2021

J. Appl. Math. Comput. Mech.

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“…Whilst, the combined impacts of hydro-magnetic and heat source (sink) on unstable convective heat and mass transfer of a power-law nanofluid through a permeable stretch plate are addressed by Eid and Mahny 28 . Durgaprasad et al 29 Hassan analyzed the 3-D Casson nanofluid flow using the Buongiorno model across a slender surface of a porous regime. Prasad et al 30 screened over a semi-infinite plate with an analytical approximation on MHD flow of nanofluid.…”

Section: N Bmentioning

confidence: 99%

3-D electromagnetic radiative non-Newtonian nanofluid flow with Joule heating and higher-order reactions in porous materials

Alaidrous

Eid

2020

Sci Rep

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The aim of this work is to discuss the effect of mth-order reactions on the magnetic flow of hyperbolic tangent nanofluid through extending surface in a porous material with thermal radiation, several slips, Joule heating, and viscous dissipation. In order to convert non-linear partial differential governing equations into ordinary ones, a technique of similarity transformations has been implemented and then solved using the OHAM (optimal homotopy analytical method). The outcomes of novel effective parameters on the non-dimensional interesting physical quantities are established utilizing the tabular and pictorial outlines. After a comparison with previous literature studies, the results were finely compliant. The study explores that the reduced Nusselt number is diminished for the escalating values of radiation, porosity, and source (sink) parameters. It is found that the order of the chemical reaction m = 2 is dominant in concentration as well as mass transfer in both destructive and generative reactions. When m reinforces for a destructive reaction, mass transfer is reduced with 34.7% and is stabled after η = 3. In the being of the destructive reaction and Joule heating, the nanofluid's temperature is enhanced. Abbreviations a, b Constants (-) B 0 Magnetic parameter C Concentration (mol/m 3) c p Specific heat C ∞ Free stream concentration (mol/m 3) C w Constant-wall concentration (mol/m 3) D B Brownian diffusion (m 2 /s) D T Thermophoresis diffusion (m 2 /s) Ec Eckert number (-) f , g Dimensionless stream functions (-) f w Suction/injection parameter (-) k Thermal conductivity (W/mK) K Porous medium permeability (-) K 1 Porous medium parameter (-) k c Chemical reaction (-) k * Mean-absorption factor Le Lewis number (-) M Magnetic parameter (-) m Order of reactions (-) n Power-law index (-)

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“…Hussain et al [21] explored the series solution of Casson nanoliquid flow owing to linearly stretchable surface under viscous dissipation effect. More studies are carried out for Casson nanoliquid flow due to stretchable surface by many researchers [22][23][24][25][26][27], under the influences of various mechanisms like: Joule heating, porous medium, convective heat transport, hydromagnetic flow, slip conditions, thermal radiation, inclined surface, etc. Chamkha et al [28] discussed the similarity solution for unsteady nanofluid flow because of moveable surface in the expanse of boundary layer, under the inspiration of chemical reaction through porous media with suction/injection parameters.…”

Section: Introductionmentioning

confidence: 99%

Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi-directionally stretchable surface in a porous medium

2020

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In this communication, bidirectional flow of Casson nanomaterial driven by an unsteady moveable surface in the region of boundary layer is analyzed. Moreover, the significances of porous space, magnetic field, prescribed surface temperature (PST), and prescribed surface heat flux are also incorporated. Furthermore, the aspects of Brownian motion and thermophoresis are also comprised through Buongiorno nanofluid model. Governing equations are firstly transformed into system of ordinary differential equations by using a suitable combination of variables, and then computational assessment is made through Keller-Box method. Graphical illustrations for temperature distribution, concentration distribution, local Nusselt number and local Sherwood number against escalating amounts of pertinent parameters are presented. It is observed that escalating amounts of unsteady parameter and temperature controlled indices reduce the temperature distribution, as well as the concentration distribution. It is also observed that increasing amounts of Casson parameter enhances the rate of heat transfer, and reduces the rate of mass transfer for PST case. Finally, a comparison benchmark for limited case has been presented to validate the present methodology. Keywords Casson nanofluid • Eckert number • Keller-Box method • MHD • Porous medium • Prescribed heat sources • Unsteady bi-directional stretching List of symbols a, b, c Stretching rates (s −1) B o Magnitude of magnetic force (kg s −2 A −1) C Concentration (kg m −3) c f Specific heat of liquid (m 2 s −2 K −1) c p Specific heat of nanomaterial (m 2 s −2 K −1) C ∞ Ambient concentration (kg m −3) C w Surface concentration (kg m −3) C fx , C fy Skin-friction coefficients (-) D B Brownian coefficient (m 2 s −1) D T Thermophoresis coefficient (m 2 s −1) Ec x , Ec y Eckert numbers (-) f , g Similarity functions for velocity (-) h j Step size for grids (m) j Suffix (-)

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Combined effects of Brownian motion and thermophoresis parameters on three-dimensional (3D) Casson nanofluid flow across the porous layers slendering sheet in a suspension of graphene nanoparticles

Cited by 41 publications

References 41 publications

Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

3-D electromagnetic radiative non-Newtonian nanofluid flow with Joule heating and higher-order reactions in porous materials

Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi-directionally stretchable surface in a porous medium

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