Thermal Stratification Effects on Hiemenz Flow of Nanofluid Over a Porous Wedge Sheet in the Presence of Suction/Injection Due to Solar Energy: Lie Group Transformation

Kandasamy, R.; Muhaimin, I.; Ram, Neetu; Prabhu, K. K. Sivagnana

doi:10.1007/s11242-012-0011-3

Cited by 16 publications

(5 citation statements)

References 37 publications

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“…Furthermore, they showed that the flow is accelerated with increasing permeability of the porous medium. Further studies of nanofluid convection transport in porous media have been reported by Kandasamy et al [26] for suction/injection and thermal stratification effects, by Gorla and Chamkha [27] for non-isothermal effects, by Yasin et al [28] for heat generation effects, by Kuznetsov [29] for non-oscillatory and oscillatory bioconvection and by Memari et al [30] for viscous dissipation effects. Bég et al [31] used a homotopy analysis method to simulate nanofluid free convection from a spherical body in a Darcian porous medium.…”

Section: Introductionmentioning

confidence: 92%

Lie group analysis and numerical solutions for non-Newtonian nanofluid flow in a porous medium with internal heat generation

Uddin

Yusoff

Bég³

et al. 2013

Phys. Scr.

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A mathematical model is presented and analysed for steady two-dimensional non-isothermal boundary layer flow from a heated horizontal surface which is embedded in a porous medium saturated with a non-Newtonian power-law nanofluid. It is assumed that the wall temperature and nanoparticle volume fraction vary nonlinearly with the axial distance. By applying appropriate group transformations, the governing transport equations are reduced to a system of coupled, nonlinear ordinary differential equations with associated boundary conditions. The reduced equations are then solved numerically using the Runge-Kutta-Fehlberg fourth-fifth-order numerical method with Maple 13 software. The effects of several thermophysical parameters including rheological power-law index, non-isothermal index, Lewis number, Brownian motion parameter, thermophoresis parameter, buoyancy ratio and internal heat generation/absorption parameter on the non-dimensional velocity, temperature, nanoparticle volume fraction (concentration) and also on the friction factor, heat and mass transfer rates are investigated. A comparison of the present results with the existing published results shows excellent agreement, verifying the accuracy of the present numerical code. The study finds applications in nano biopolymeric manufacturing processes and also thermal enhancement of energy systems employing rheological working fluids.

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Section: Introductionmentioning

confidence: 92%

Lie group analysis and numerical solutions for non-Newtonian nanofluid flow in a porous medium with internal heat generation

Uddin

Yusoff

Bég³

et al. 2013

Phys. Scr.

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“…In the context of porous media studies, the Darcy drag force model which represents the bulk matrix effect on fluid transport is the most popular although it is limited to low-speed viscousdominated flows. Numerous articles have utilized this model for porous media nanofluid modeling including Nield and Kuznetsov [20], Uddin et al [21], Hady et al [22], and others [23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling of Radiative Hydromagnetic Thermosolutal Nanofluid Convection Slip Flow in Saturated Porous Media

Uddin

Bég²,

Ismail

2014

Mathematical Problems in Engineering

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High temperature thermal processing of nanomaterials is an active area of research. Many techniques are being investigated to manipulate properties of nanomaterials for medical implementation. In this paper, we investigate thermal radiation processing of a nanomaterial fluid sheet extruded in porous media. A mathematical model is developed using a Darcy drag force model. Instead of using linear radiative heat flux, the nonlinear radiative heat flux in the Rosseland approximation is taken into account which makes the present study more meaningful and practically useful. Velocity slip and thermal and mass convective boundary conditions are incorporated in the model. The Buongiornio nanofluid model is adopted wherein Brownian motion and thermophoresis effects are present. The boundary layer conservation equations are transformed using appropriate similarity variables and the resulting nonlinear boundary value problem is solved usingMaple 14which uses the Runge-Kutta-Fehlberg fourth fifth order numerical method. Solutions are validated with previous nonmagnetic and nonradiative computations from the literature, demonstrating excellent agreement. The influence of Darcy number, magnetic field parameter, hydrodynamic slip parameter, convection-conduction parameter, convection-diffusion parameter, and conduction-radiation parameter on the dimensionless velocity, temperature, and nanoparticle concentration fields is examined in detail. Interesting patterns of relevance are observed to improve manufacturing of nanofluids.

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“…It was assumed that the use of nanofluids increased the volumetric absorptions, so direct steam nanofluids collectors could improve the quality and conversion efficiency of the light into steam. In another study, Kandasamy and co-workers ( Kandasamy et al, 2012 ) investigated about the Hiemenz flow of Cunanofluid on a porous wedge plate. It plays a vital role in the volumetric absorptions of the incident solar radiations and the transfer of the thermal energy to the fluid.…”

Section: Nanofluids Applications In Solar Energymentioning

confidence: 99%

Hybrid Nanofluids as Renewable and Sustainable Colloidal Suspensions for Potential Photovoltaic/Thermal and Solar Energy Applications

et al. 2021

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The comparative utilization of solar thermal or photovoltaic systems has significantly increased to fulfill the requirement of electricity and heat since few decades. These hybrid systems produce both thermal and electrical energy simultaneously. In recent times, increasing interest is being redirected by researchers in exploiting variety of nanoparticles mixed with miscellaneous base fluids (hybrid nanofluid) for these hybrid systems. This new class of colloidal suspensions has many fascinating advantages as compared to conventional types of nanofluids because of their modified and superior rheological and thermophysical properties which makes them appealing for solar energy devices. Here, we have attempted to deliver an extensive overview of the synthetic methodologies of hybrid nanofluids and their potential in PV/T and solar thermal energy systems. A detailed comparison between conventional types of nanofluids and hybrid nanofluids has been carried out to present in-depth understanding of the advantages of the hybrid nanofluids. The documented reports reveal that enhanced thermal properties of hybrid nanofluids promise the increased performance of solar thermal PV/T systems. Additionally, the unique properties such as nanoparticles concentration and type of base fluid, etc. greatly influence the behavior of hybrid nanofluidic systems. Finally, the outlook, suggestions, and challenges for future research directions are discussed.

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Thermal Stratification Effects on Hiemenz Flow of Nanofluid Over a Porous Wedge Sheet in the Presence of Suction/Injection Due to Solar Energy: Lie Group Transformation

Cited by 16 publications

References 37 publications

Lie group analysis and numerical solutions for non-Newtonian nanofluid flow in a porous medium with internal heat generation

Lie group analysis and numerical solutions for non-Newtonian nanofluid flow in a porous medium with internal heat generation

Mathematical Modelling of Radiative Hydromagnetic Thermosolutal Nanofluid Convection Slip Flow in Saturated Porous Media

Hybrid Nanofluids as Renewable and Sustainable Colloidal Suspensions for Potential Photovoltaic/Thermal and Solar Energy Applications

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