MHD Flow and Heat Transfer of Nanofluids through a Porous Media Due to a Stretching Sheet with Viscous Dissipation and Chemical Reaction Effects

Yirga, Yohannes; Shankar, Bandari

doi:10.1080/15502287.2015.1048385

Cited by 38 publications

(31 citation statements)

References 37 publications

(38 reference statements)

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“…The finite element method has been implemented on the system of Equations (15) - (18) to obtain the numerical solution under the boundary conditions that are given in Equations (19) and (20). The FEM has been instigated to the study of various problems in computational fluid dynamics and extremely efficient methods to solve assorted nonlinear problems [41][42][43][44].…”

Section: Implementation Of Methodsmentioning

confidence: 99%

“…Liaqat et al [19] examined the effect of viscous dissipation and the various sorts of magnetic nano-particles, ferromagnetic and ferrimagnetic, on micropolar fluid flow and heat transfer through the stretching sheet. Yirga and Tesfay [20] deliberated about the heat, and mass transference study of nano-fluid over the porous stretching sheet. The authors revealed that Ag water nano-fluid has larger skin friction as associated with Cu water nano-fluid.…”

Section: Introductionmentioning

confidence: 99%

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The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

et al. 2020

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The present work examines the effect of different magnetic nanoparticles and the heat transfer phenomena over the stretching sheet with thermal stratification and slips effect. The mixture of water (H 2 O) and ethylene glycol (C 2 H 6 O 2 ) is used as base fluid whereas the paramagnetic, diamagnetic, and ferromagnetic ferrites are taken as nanoparticles. In the presence of ferrite nanoparticles, the magnetic dipole has a significant effect in controlling the rate of heat transfer and the thermal boundary layers. By using suitable similarity transformations, the system of partial differential equations is transformed into nonlinear ordinary differential equations. The numerical solution of resulting equations is found out by using the variational finite element method. The effect of numerous emerging parameters on velocity, temperature, and micro-rotation velocity are represented graphically and analyzed numerically. It has been noticed that comparatively the diamagnetic ferrites have gained maximum thermal conductivity relative to the other nanoparticles. It was also observed that the thermal conduction of nanoparticles increases with the variation of volume fraction. Moreover, with increasing values of thermal stratification the thermal boundary layer thickness decreases and the heat transfer rate increases at the surface. Furthermore, the validation of code and the accuracy of the numerical technique has been confirmed by the assessment of current results with earlier studies.

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Section: Implementation Of Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

et al. 2020

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“…Accordingly, Pop and Yasin et al remarked that energy dissipation and Joule heating in fluid dynamic has a great significance for the design of energy‐conversion systems and energy‐efficient circuits. Furthermore, the impact of Joule heating, viscous dissipation, and heat generation of fluid like Oldroyd B and Casson nanofluid has been discussed by Kumar et al, Reddy et al, Ajayi et al, and Yohannes and Shankar . A modified homogeneous‐heterogeneous reaction for MHD stagnation flow with viscous dissipation and Joule heating was investigated by Khan et al Still further, Hayat et al examined by entropy generation in magnetohydrodynamic radiative flow due to rotating disk in presence of viscous dissipation and Joule heating.…”

Section: Introductionmentioning

confidence: 99%

Melting and viscous dissipation effect on upper‐convected Maxwell and Williamson nanofluid

Ibrahim

Negera

2020

Engineering Reports

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This article mainly addresses the influence of the viscous dissipation, melting, and chemical reaction on Williamson and Maxwell nanofluids over a stretching sheet embedded in porous media. The system of partial differential equations which is obtained by conservation principles, is transformed by means of an appropriate similarity transformation into a system of ordinary differential equations. The numerical results are obtained by employing the Keller box method. The impacts of different germane parameters on velocity profiles, thermal and concentration fields, Nusselt number, skin friction coefficient, and Sherwood number are selected by means of graphical and tabular representations. Our numerical solution detects that the dimensionless melting parameter highly affects the velocity boundary layer of a Williamson nanofluid when compared with an upper-convected Maxwell nanofluid. Moreover, the velocity, temperature, and concentration distributions decrease for both fluids when the permeability parameter increases. Furthermore, the temperature distribution increases with an increase of the Eckert number.

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“…It is worth mentioning that both of proposed nanofluid models were recently used by Kuznetsov and Nield (2010) Khan and Pop (2010); Vajravelu et al (2011);Chamkha and Rashad (2012); Qasim et al (2013); Anwar et al (2014) in their papers. For example, Yirga and Shankar (2015) carried out an analysis of the effects of viscous dissipation and chemical reactions on the magnetohydrodynamics flow and heat transfer of nanofluid through a porous media using Tiwari and Das model. They showed that, the increasing of nanoparticles volume fraction leads to increase the thermal boundary layer thickness and decrease the velocity boundary layer thickness for both considered water based nanofluid, copper and silver.…”

Section: Introductionmentioning

confidence: 99%

G-Jitter Effects on the Mixed Convection Flow of Nanofluid Past an Inclined Stretching Sheet

Rawi¹,

Kasim²,

Isa³

et al. 2017

Frontiers in Heat and Mass Transfer

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Mixed convection flows of nanofluid past an inclined stretching sheet with g-jitter effect is studied in this paper. Water based nanofluid containing copper, copper oxide, aluminium oxide and silver nanoparticles are concerned. Coupled nonlinear partial differential equations are solved using Kellerbox method. The effect of solid nanoparticles volume fraction parameter, frequency of oscillation and inclination angle parameter is observed to reduce the skin friction and heat transfer coefficients whereas mixed convection parameter increases both skin friction and heat transfer coefficients. Present study also shows that, the heat transfer coefficient is highest for silver nanofluid.

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MHD Flow and Heat Transfer of Nanofluids through a Porous Media Due to a Stretching Sheet with Viscous Dissipation and Chemical Reaction Effects

Cited by 38 publications

References 37 publications

The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

Melting and viscous dissipation effect on upper‐convected Maxwell and Williamson nanofluid

G-Jitter Effects on the Mixed Convection Flow of Nanofluid Past an Inclined Stretching Sheet

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