The effect of conjugate heat transfer on MHD mixed convection about a vertical slender hollow cylinder

Kaya, Ahmet

doi:10.1016/j.cnsns.2010.08.021

Cited by 20 publications

(13 citation statements)

References 24 publications

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“…Secondly, in order to verify the accuracy of the numerical solutions, the validity of the present numerical code has been checked for a limiting case. Table 2 demonstrates that excellent correlation has been achieved with the earlier results of Kaya [9], Takhar et al [49] and Chang [5] for Nusselt number (−θ (0, 0)) for the case of pure water with Ri = 0 and p = 0 for different values of Prandtl number (Pr).…”

Section: Validation Of Finite Element Methods Solutionssupporting

confidence: 72%

“…ξ = 2. Temperature (figure 4(b)) is conversely found to be suppressed with increasing Richardson number (Ri) since acceleration of the flow will oppose thermal diffusion and this will reduce bulk temperatures in the boundary layer regime, as also observed by Kaya [9], and thermal boundary layer thickness will be decreased. In all cases, nanofluid temperature profiles are clearly observed to possess greater values than for the pure water case, demonstrating the greater thermal capabilities of nanofluids [20].…”

Section: Effect Of Richardson Numbersupporting

confidence: 52%

“…Hsiao and Hsu [8] reported on conjugate mixed convection heat transfer in second-grade viscoelastic fluid flow from a horizontal flat-plate fin. The effect of conjugate heat transfer on magneto-hydrodynamic mixed convection about a vertical slender hollow cylinder has recently been investigated by Kaya [9].…”

Section: Introductionmentioning

confidence: 99%

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Finite element modeling of conjugate mixed convection flow of Al₂O₃–water nanofluid from an inclined slender hollow cylinder

Rana¹,

Bhargava²,

Bég³

2013

Phys. Scr.

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Steady laminar mixed convection flow and heat transfer characteristics of Al 2 O 3 -water nanofluid about a vertical slender hollow cylinder are investigated numerically, under the effect of wall conduction. The transformed, non-dimensional, nonlinear governing equations (obtained with the Boussinesq approximation) are solved, using a robust, extensively validated, Galerkin finite element method for spherical-shaped nanoparticles with volume fraction ranging up to 4%, with associated boundary conditions. Nine-node quadrilateral finite elements are employed. Experimental models for thermal conductivity and viscosity incorporating Brownian motion terms have been taken into consideration. The influence of physical parameters, namely wall conduction parameter, Richardson number (buoyancy parameter) and nanoparticle volume fraction, on velocity profile, temperature profile and on Nusselt number is shown graphically. Excellent validation of the present numerical results has been achieved with earlier published results. Both skin friction coefficient and Nusselt number are enhanced with increasing Richardson number. With increasing inclination angle there is a decrease in average Nusselt number. Furthermore, average Nusselt number and interfacial temperature are both reduced with nanoparticle diameter. The flow is accelerated with increasing Richardson number whereas the bulk temperature is found to be suppressed. The study has important applications in thermal enhancement of solar energy systems.

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Section: Validation Of Finite Element Methods Solutionssupporting

confidence: 72%

Section: Effect Of Richardson Numbersupporting

confidence: 52%

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Finite element modeling of conjugate mixed convection flow of Al₂O₃–water nanofluid from an inclined slender hollow cylinder

Rana¹,

Bhargava²,

Bég³

2013

Phys. Scr.

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“…MHD flow about a narrow vertical cylinder has several important applications in physics, medicine, and engineering [15][16][17] combined with energy transfer and mass transfer. In recent years, several researchers have been interested in studying heat and mass transfer in the MHD flow of nanofluids about a narrow vertical cylinder.…”

Section: Introductionmentioning

confidence: 99%

A study of convective nanofluid flow over a rough slender cylinder under the influence of magnetic field and species diffusion

2021

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The present work explores the analysis of magnetohydrodynamics nonlinear mixed conv ective nanofluid flow over a vertical slender cylinder in the presence of surface roughness. The application of the present study can be found in the process of coating wires. In fact, during such a process, thin wires in the slender cylinder need to be cooled, and also heat and mass transfer rates need to be controlled through nanofluid and liquid hydrogen to yield better results. By employing nonsimilar transformations, the partial differential equations governing the flow problem are reduced to dimensionless equations. Furthermore, the Quasilinearization technique and implicit finite difference scheme are used to solve the dimensionless governing equations. The novelty of the analysis is the impacts of surface roughness, diffusion of liquid hydrogen, and the presence of nonlinear mixed convective flow over a slender cylinder. The numerical results reveal that the energy transport strength and surface drag coefficient enhance with the roughness parameter values. The nanoparticle volume fraction profile reduces, while nanoparticle Sherwood number enhances with increasing values of velocity ratio parameter. The presence of nanoparticles in the conventional fluid diminishes the energy transfer value significantly for both smooth and rough surfaces. The velocity of the

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“…Kaya [13] investigated mixed convection heat transfer about a thin vertical plate with magneto and CHT effects in a porous medium. Kaya [14] studied the effect of CHT on MHD mixed convection about a vertical slender hollow cylinder. Mamun et al [15] studied the effects of conduction and viscous dissipation on natural convection flow of an incompressible, viscous and electrically conducting fluid with a transverse magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Overlapping Multi-Domain Spectral Method for Conjugate Problems of Conduction and MHD Free Convection Flow of Nanofluids over Flat Plates

Mkhatshwa

Motsa

Sibanda

2019

MCA

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An efficient overlapping multi-domain spectral method is used in the analysis of conjugate problems of heat conduction in solid walls coupled with laminar magnetohydrodynamic (MHD) free convective boundary layer flow of copper (Cu) water and silver (Ag) water nanofluids over vertical and horizontal flat plates. The combined effects of heat generation and thermal radiation on the flow has been analyzed by imposing a magnetic field along the direction of the flow to control the motion of electrically conducting fluid in nanoscale systems. We have assumed that the nanoparticle volume fraction at the wall may be actively controlled. The dimensionless flow equations are solved numerically using an overlapping multi-domain bivariate spectral quasilinearisation method. The effects of relevant parameters on the fluid properties are shown graphically and discussed in detail. Furthermore, the variations of the skin friction coefficient, surface temperature and the rate of heat transfer are shown in graphs and tables. The findings show that the surface temperature is enhanced due to the presence of nanoparticles in the base fluid and the inclusion of the thermal radiation, heat generation and transverse magnetic field in the system. An increase in the nanoparticle volume fraction, heat generation, thermal radiation, and magnetic field parameter enhances the nanofluid velocity and temperature while reducing the heat transfer rate. The results also indicate that the Ag-water nanofluid has higher skin friction and surface temperature than the Cu-water nanofluid, while the opposite behaviour is observed in the case of the rate of heat transfer. The computed numerical results are compared with previously published results and found to be in good agreement.

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The effect of conjugate heat transfer on MHD mixed convection about a vertical slender hollow cylinder

Cited by 20 publications

References 24 publications

Finite element modeling of conjugate mixed convection flow of Al₂O₃–water nanofluid from an inclined slender hollow cylinder

Finite element modeling of conjugate mixed convection flow of Al₂O₃–water nanofluid from an inclined slender hollow cylinder

A study of convective nanofluid flow over a rough slender cylinder under the influence of magnetic field and species diffusion

Overlapping Multi-Domain Spectral Method for Conjugate Problems of Conduction and MHD Free Convection Flow of Nanofluids over Flat Plates

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The effect of conjugate heat transfer on MHD mixed convection about a vertical slender hollow cylinder

Cited by 20 publications

References 24 publications

Finite element modeling of conjugate mixed convection flow of Al2O3–water nanofluid from an inclined slender hollow cylinder

Finite element modeling of conjugate mixed convection flow of Al2O3–water nanofluid from an inclined slender hollow cylinder

A study of convective nanofluid flow over a rough slender cylinder under the influence of magnetic field and species diffusion

Overlapping Multi-Domain Spectral Method for Conjugate Problems of Conduction and MHD Free Convection Flow of Nanofluids over Flat Plates

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Product

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About

Finite element modeling of conjugate mixed convection flow of Al₂O₃–water nanofluid from an inclined slender hollow cylinder

Finite element modeling of conjugate mixed convection flow of Al₂O₃–water nanofluid from an inclined slender hollow cylinder