Magnetohydrodynamic three-dimensional flow of nanofluids with slip and thermal radiation over a nonlinear stretching sheet: a numerical study

Mahanthesh, B.; Gireesha, B.J.; Gorla, Rama Subba Reddy; Makinde, Oluwole Daniel

doi:10.1007/s00521-016-2742-5

Cited by 81 publications

(45 citation statements)

References 39 publications

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“…Nonetheless, the effect of thermal radiation has been excluded from this study. Furthermore, the case of shrinking sheet in the presence of suction with stability analysis has been determined for dual (upper and lower branch) solutions which have not been considered by Mahanthesh et al [35]. Therefore, it is believed that the results retrieved from this study are new and differ from those reported by Mahanthesh et al [35].…”

Section: Introductionmentioning

confidence: 71%

“…However, flow of MHD was disregarded in their studies. Nevertheless, the study of mixed convection flow of nanofluids under the influence of magnetic field was indeed investigated by Yazdi et al [32], Haroun et al [33], Mustafa et al [34], as well as Mahanthesh et al [35], to name a few.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, increasing interest to study the effect of slip conditions on both flow and heat transfer of nanofluids with various physical conditions has been noted [36][37][38][39]. Recently, Mahanthesh et al [35] examined the combined effects of MHD, thermal radiation, velocity slip, and thermal slip on three-dimensional mixed convection flow of nanofluids over a nonlinear stretching sheet. Motivated by the above mentioned studies, the objective of this present study is to extend the work of Mahanthesh et al [35] on the steady three-dimensional MHD mixed convection flow over a nonlinear stretching/shrinking sheet with suction and slip conditions using two different types of water-based nanofluids, namely Cu-water and Ag-water nanofluids, through the use of mathematical nanofluid model, which has been proposed by Tiwari and Das [24].…”

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Magnetohydrodynamic Mixed Convection Flow of Nanofluids over a Nonlinearly Permeable Stretching/Shrinking Sheet with Velocity and Thermal Slip

Jamaludin

Pop

2018

Applied Sciences

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In this paper, the steady three-dimensional magnetohydrodynamic (MHD) mixed convection flow of nanofluids over a permeable vertical stretching/shrinking sheet with slip conditions is investigated in a numerical manner. As such, two types of nanofluids, Cu-water and Ag-water, had been considered. A similarity transformation was employed to reduce the governing equations to ordinary differential equations, which were then solved numerically using the MATLAB (Matlab R2015a, MathWorks, Natick, MA, USA, 1984) programme bvp4c. The numerical solutions derived from the ordinary differential equations subjected to the associated boundary conditions, were obtained to represent the values of the mixed convection parameter. Dual (upper and lower branch) solutions were discovered in the opposing flow region of the mixed convection parameter. A stability analysis was carried out to prove that the upper branch solution was indeed stable, while the lower branch solution was unstable. The significant effects of the governing parameters on the reduced skin friction coefficients, the reduced local Nusselt number, as well as the velocity and temperature profiles, were presented graphically and discussed in detail.

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Section: Introductionmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Magnetohydrodynamic Mixed Convection Flow of Nanofluids over a Nonlinearly Permeable Stretching/Shrinking Sheet with Velocity and Thermal Slip

Jamaludin

Pop

2018

Applied Sciences

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“…Sarojamma et al presented flow of a micropolar nanofluid through a vertical channel with porous collapsible walls. Mahanthesh et al present a numerical study of MHD three‐dimensional flow of nanofluids with slip and radiation effects. These studies, however, did not consider the combined effects of momentum slip, thermal slip, variable viscosity, magnetic field, and thermal conductivity on MHD convection of a micropolar fluid from a vertically translating plate .…”

Section: Introductionmentioning

confidence: 99%

Influence of variable viscosity and thermal conductivity, hydrodynamic, and thermal slips on magnetohydrodynamic micropolar flow: A numerical study

Rahman

Uddin

Bég

et al. 2019

Heat Trans. Asian Res.

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Thermophysical and wall-slip effects arise in many areas of nuclear technology. Motivated by such applications, in this article, the collective influence of variableviscosity, thermal conductivity, velocity and thermal slip effects on a steady two-dimensional magnetohydrodynamic micropolar fluid over a stretching sheet is analyzed numerically. The governing nonlinear partial differential equations have been converted into a system of nonlinear ordinary differential equations using suitable coordinate transformations. The numerical solutions of the problem are expressed in the form of nondimensional velocity and temperature profiles and discussed from their graphical representations. The Nachtsheim-Swigert shooting iteration technique together with the sixth-order Runge-Kutta integration scheme has been applied for the numerical solution. A comparison with the existing results has been done, and an excellent agreement is found. Further validation with the Adomian decomposition method is included for the general model. Interesting features in the heat and momentum characteristics are explored. It is found that a greater thermal slip and thermal conductivity elevate thermal boundary layer thickness. Increasing Prandtl number enhances the Nusselt number at the wall but reduces wall couple stress (microrotation gradient). Temperatures are enhanced with both the magnetic field and viscosity parameter. Increasing momentum (hydrodynamic) slip is found to accelerate the flow and elevate temperatures.boundary layers, magnetic field, micropolar fluids, nuclear thermal transport, numerical solutions, thermal slip, variable thermal conductivity, velocity slip | INTRODUCTIONHeat transfer is a fundamental aspect of many nuclear engineering transport processes. It may arise in any of the three familiar modes (conduction, convection, and radiation) and indeed these modes often arise simultaneously. Interesting applications include phase change saturated nucleation (see Uesawa et al 1 ), transient electrically conducting convection flows of liquid sodium, 2 nuclear propulsion systems cooling, 3 conjugate thermal transport, 4 supercritical thermal convection in rod bundles, 5 heat emission in turbulent flows of mercury, sodium, lead-bismuth, and sodium-potassium liquid metals, 6 and hybrid electrolysis systems exploiting nuclear energy. 7 Electromagnetic flows also arise in nuclear power systems wherein magnetic fields are deployed to control high-temperature electrically conducting plasmas from damaging, for example, channel walls. Magnetohydrodynamics (MHDs) concern the interaction between electrically conducting liquids and applied magnetic fields. It has extensive applications in emergency heat removal in fast reactors, 8 molten metal pumps for rapid removal of heat from cores, 9 and feeder wall thinning mechanisms in flow-assisted corrosion of alloys in nuclear reactor channels. 10 Although often the working fluids in nuclear reactor systems are air and water, many non-Newtonian liquids are increasingly being deployed. Such fl...

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“…Further, few researchers [Khan and Pop (2010), Rana andBhargava (2011), Sarkara et al (2012), Sher et al (2013), Trimbitas et al (2014), Hayat et al (2014), Reddy et al (2015), Raju et al (2016)] explained the flow of nanofluid over dissimilar geometries, such as elongated surface, a vertical plate, thin needle, circular cylinder, flat plate under various boundary conditions. Mahanthesh et al (2016) elaborated numerically the impact of MHD and thermal slip mechanism on the 3D flow of nanofluid past a linear and nonlinear elongated surface. They provided the nice comparison between linear and nonlinear stretching surface using different nanoparticles with water as the base fluid.…”

Section: Introductionmentioning

confidence: 99%

Impact of Thermal Radiation and Chemical Reaction on Unsteady 2d Flow of Magnetic-Nanofluids Over an Elongated Plate Embedded With Ferrous Nanoparticles

Sulochana¹,

Ashwinkumar²,

Samrat³

2018

Frontiers in Heat and Mass Transfer

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This study reports the flow, thermal and concentration attributes of magnetic-nanofluids past an elongated plate with thermal radiation and chemical reaction. The flow considered is two-dimensional and time-dependent. The pressure gradient and ohmic heating terms are neglected in this analysis. The flow governing PDEs are transformed into ODEs using appropriate conversions. Further, the set of ODEs are solved analytically using perturbation technique. The flow quantities such as velocity, thermal and concentration fields are discussed under the influence of various pertinent parameters namely volume fraction of nanoparticle, magnetic field, stretching parameter, Soret number, radiation and chemical reaction with the assistance of graphical representations. Moreover, wall friction, reduce Nusselt and Sherwood numbers are calculated and deployed in tabular forms. Dual nature is observed for water-based Fe3O4 nanofluid and Ethylene glycol based Fe3O4 nanofluid. The results indicate that water-based ferrofluids are highly influenced as compared with Ethylene Glycol based ferrofluids. Also, the nanoparticle volume fraction plays a vital role in controlling the wall friction and heat transfer performance. Also, Soret parameter has a tendency to integrate high density particles in a boundary to raise the thickness of a surface.

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Magnetohydrodynamic three-dimensional flow of nanofluids with slip and thermal radiation over a nonlinear stretching sheet: a numerical study

Cited by 81 publications

References 39 publications

Three-Dimensional Magnetohydrodynamic Mixed Convection Flow of Nanofluids over a Nonlinearly Permeable Stretching/Shrinking Sheet with Velocity and Thermal Slip

Three-Dimensional Magnetohydrodynamic Mixed Convection Flow of Nanofluids over a Nonlinearly Permeable Stretching/Shrinking Sheet with Velocity and Thermal Slip

Influence of variable viscosity and thermal conductivity, hydrodynamic, and thermal slips on magnetohydrodynamic micropolar flow: A numerical study

Impact of Thermal Radiation and Chemical Reaction on Unsteady 2d Flow of Magnetic-Nanofluids Over an Elongated Plate Embedded With Ferrous Nanoparticles

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