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Showing papers on "Natural convection published in 2019"


Journal ArticleDOI
TL;DR: In this paper, the authors studied free convective flow and heat transfer of a suspension of nano-encapsulated phase change materials (NEPCMs) in an enclosure and found that the enhancement of heat transfer is highly dependent on the non-dimensional fusion temperature, θf, and very good performance can be achieved in the range of ¼ < θ f < 0.

240 citations



Journal ArticleDOI
TL;DR: In this article, the authors used a triangular wave form of conductive corrugated partition for free convection in a cavity with a corrugation partition which have different fluids on different parts of the partition was numerically examined.

178 citations


Journal ArticleDOI
25 May 2019-Energies
TL;DR: In this article, the authors focused on using graphene oxide (GO) with the Φ = 0.2, 0.4 and 0.6 wt.% dispersed in paraffin, as phase change materials (PCMs) to improve the productivity of a solar still for desalination applications.
Abstract: Solar-driven water desalination technologies are rapidly developing with various links to other renewable sources. However, the efficiency of such systems severely depends on the design parameters. The present study focused on using graphene oxide (GO) with the Φ = 0.2, 0.4 and 0.6 wt.% dispersed in paraffin, as phase-change materials (PCMs), to improve the productivity of a solar still for desalination applications. The outcomes showed that by adding more graphene oxide to paraffin, the melting temperature got reduced. Solar still with GO/paraffin showed 25% productivity improvement in comparison with the solar still with only PCM. The obtained Nusselt number during the melting time also represented that free convection heat transfer into the melted region of the solar still has been enhanced by adding dispersed GO to the PCM, compared to the base paraffin. Also, increasing the hot wall temperature augments the Nusselt number. Finally, an empirical equation was derived to correlate the average Nusselt number as a function of Rayleigh number (Ra), the Stefan number (Ste), the subcooling factor (Sb), and the Fourier number (Fo). The obtained correlation depicted that Nusselt number enhancement has a reverse relation with Fourier number.

149 citations


Journal ArticleDOI
TL;DR: In this article, the effect of the Brownian motion on the effective thermal conductivity and viscosity of nanofluid was investigated in a baffled U-shaped enclosure in the presence of a magnetic field.

147 citations


Journal ArticleDOI
TL;DR: In this paper, the effect of radiation on the convection heat transfer rate and the nanofluid entropy generation within a diagonal rectangular chamber is investigated numerically in the presence of a magnetic field.
Abstract: In this paper, the effect of the presence of radiation on the convection heat transfer rate and the nanofluid entropy generation within a diagonal rectangular chamber is investigated numerically in the presence of a magnetic field. The governing equations have been solved via finite volume method using the simple algorithm. In this paper, the effects of Rayleigh number, Hartmann number, magnetic field angle changes, chamber angle changes, entropy parameter, radiation parameter and volume percent of nanoparticles on the entropy generation and heat transfer have been investigated. The results show that with increasing Rayleigh number and decreasing the Hartmann number, the Nusselt number and entropy generation increase and the Bejan number decreases. By increasing the angle of the magnetic field, the heat transfer rate and the entropy generation are reduced and the Bejan number increases. By increasing the angle of the chamber at high Rayleigh numbers, the heat transfer rate increases, or by adding 6% of the nanoparticles to the base fluid, the heat transfer rate increases by 9.3% and the entropy generation increases by 15.5% in the absence of radiation. This increase in the Rd = 3 radiation parameter is 5.4% and 6.2%, respectively. It was also observed that the Nusselt number and the entropy generation increased, and with increasing the radiation parameter, the Bejan number decreased. Increasing the heat transfer rate is more significant at higher Rayleigh numbers by increasing the radiation parameter.

138 citations


Journal ArticleDOI
TL;DR: In this article, the influence of magnetic field on entropy generation and natural convection inside an enclosure filled with a hybrid nanofluid and having a conducting wavy solid block is investigated.
Abstract: The purpose of this paper is to study the influence of magnetic field on entropy generation and natural convection inside an enclosure filled with a hybrid nanofluid and having a conducting wavy solid block. Also, the effect of fluid–solid thermal conductivity ratio is investigated.,The governing equations that are formulated in the dimensionless form are discretized via finite volume method. The velocity–pressure coupling is assured by the SIMPLE algorithm. Heat transfer balance is used to verify the convergence. The validation of the numerical results was performed by comparing qualitatively and quantitatively the results with previously published investigations.,The results indicate that the magnetic field and the conductivity ratio of the wavy solid block can significantly affect the dynamic and thermal field and, consequently, the heat transfer rate and entropy generation because of heat transfer, fluid friction and magnetic force.,To the best of the authors’ knowledge, the present numerical study is the first attempt to use hybrid nanofluid for studying the entropy generation because of magnetohydrodynamic natural convective flow in a square cavity with the presence of a wavy circular conductive cylinder. Irreversibilities due to magnetic effect are taken into account. The effect of fluid–solid thermal conductivity ratio is considered.

136 citations


Journal ArticleDOI
TL;DR: In this article, the impacts of local thermal non-equilibrium model and Al 2 O 3 -water nanofluid on natural convection heat transfer in a porous cavity consisting of a bottom heated wavy wall and an inner solid cylinder are investigated.

127 citations


Journal ArticleDOI
TL;DR: In this paper, the free convection of copper-water-based nanofluid filling a triangular cavity with semicircular bottom wall was analyzed by inspecting the impacts of Rayleigh number, Hartman number, aspect ratio and the volume fraction of the Cu nanoparticles.
Abstract: This study provides numerical analysis of the free convection of copper–water-based nanofluid filling a triangular cavity with semicircular bottom wall. The cavity sidewalls are maintained at cold temperature, while the semicircular wall is maintained at hot temperature. The other wall segments are thermally insulated. To control the energy transport within the cavity, a uniform magnetic field is applied horizontally. The physical domain is discretized according to the control volume finite element method which has been used to solve the governing equations. The physical and geometrical aspects of the current problem are investigated by inspecting the impacts of Rayleigh number, Hartman number, aspect ratio and the volume fraction of the Cu nanoparticles. Decreasing the radius of the hot semicircle enlarges the average Nusselt number at the absence of the magnetic field. When the magnetic field is applied, this effect is conversed within Ra ≤ 104. This conversed impact does not hold up when Ra is raised to 105. The numerical results are correlated in a sophisticated correlation of the average Nusselt number with other parameters.

126 citations


Journal ArticleDOI
TL;DR: In this paper, the effects of different parameters, namely the magnetic number (Mnf=100-5000), the strength ratio of the two magnetic sources (γr= 0.2-5), Hartmann number (Ha = 0-50), and porosity coefficient (e ǫ = 0.1-09), on natural convective heat transfer inside a porous cavity have been examined.

124 citations


Journal ArticleDOI
TL;DR: In this paper, a double multi relaxation time (MRT) Lattice Boltzmann method (LBM) has been used to simulate magnetohydrodynamics (MHD) natural convection in a porous media.

Journal ArticleDOI
TL;DR: In this article, the impact of Brownian motion on the thermal conductivity of a nanofluid in a wavy cavity was studied numerically using the control volume finite element method, and the effect of various controlling parameters such as the Rayleigh number, wavy contraction ratio, Hartmann number and undulation number were examined on the contour maps of the streamlines and the isotherms.
Abstract: In this work, magneto-hydrodynamic natural convection of a nanofluid in a wavy cavity considering Brownian motion is studied numerically using the control volume finite element method. The effective viscosity and thermal conductivity of the nanofluid are defined by the correlation in which the impact of Brownian motion on the thermal conductivity is considered. The considered wavy cavity is heated from the left side and it cooled from the right side. Also, the top and bottom walls of the considered wavy cavity are assumed adiabatic. The impacts of various controlling parameters such as the Rayleigh number, wavy contraction ratio, Hartmann number and undulation number are examined on the contour maps of the streamlines and the isotherms. Further, the average and local Nusselt numbers are calculated and presented graphically and discussed. The findings narrate that the strength of the convective flow has a direct relationship with the Rayleigh number and also it has a reverse relationship with the wavy contraction ratio.

Journal ArticleDOI
TL;DR: In this paper, a numerical analysis of MHD hybrid nanofluid natural convection heat transfer within the T-shaped cavity heated from the bottom and cooled from the upper chamber walls is presented.

Journal ArticleDOI
TL;DR: In this paper, the authors analyzed the conjugate free convection inside a porous square cavity occupied with Ag-MgO hybrid nanofluid using the local thermal non-equilibrium (LTNE) model.
Abstract: Current investigation aims to analyze the conjugate free convection inside a porous square cavity occupied with Ag–MgO hybrid nanofluid using the local thermal non-equilibrium (LTNE) model. Hybrid nanofluids are a novel kind of enhanced working fluids, engineered with enhanced thermo-physical and chemical properties. Two solid walls located between the horizontal bounds in two sides of cavity play the role of a conductive interface between the hot and cold walls, and moreover, the top and bottom bounds have been insulated. The governing differential equations are obtained by Darcy model and then for better representation of the results, converted into a dimensionless form. The finite element method is utilized to solve the governing equations. To evaluate the correctness and accuracy of the results, comparisons have been performed between the outcomes of this work and the previously published results. The results indicate that using the hybrid nanoparticles decreases the flow strength and the heat transfer rate. The heat transfer rate augments when Rk rises and the flow strength augments when Ra grows. Enhancing the porosity increases strongly the size and strength of the vortex composed inside the porous medium. When Kr is low, the heat transfer rate is low and by increasing Kr, thermal fields become closer to each other. The effect of hybrid nanoparticles on thermal fields with the thinner solid walls is more than that the thicker ones. An increment in H eventuates the enhancement of heat transfer and hence, the thermal boundary layer thickness. By increasing the volume fraction of the hybrid nanoparticles, Nuhnf and Nus decrease in constant Ra. Besides, increase in Ra enhances the Nuhnf and Nus. For a certain d, the reduction of Nus due to using the hybrid nanoparticles is more than that for Nuhnf. The increment of d lessens Nuhnf for all values of Kr and has not specific trends for Nus. Utilizing hybrid nanoparticles decreases Nus (except d = 0.4), rises Nus when Kr 42. In constant d, increment of H, respectively, decreases and boosts Nuhnf and Nus. For all values of d, increment of e declines Nuhnf. In low value of d, the increase in e reduces Nus, whereas at higher values, Nus has continuously enhancing trend. For different values of d, the increase in e scrimps Nuhnf. The increment of d and also e, and H are, respectively, decreases and increases the heat transfer rate.

Journal ArticleDOI
TL;DR: In this paper, a two-dimensional numerical model based on finite volume method (FVM) was developed with considering natural convection and the calculation results were validated with experimental data.

Journal ArticleDOI
TL;DR: In this article, the authors perused the natural convection in the cavity containing inclined elliptical heater under shape factor of nanoparticles and magnetic field and found that the heat transfer grows via mounting nanofluid volume fraction.
Abstract: The objective of the present study is to peruse the natural convection in the cavity containing inclined elliptical heater under shape factor of nanoparticles and magnetic field. The control volume-based finite element method is used for solving conservation equations. Numerical results show very good grid independency and very good compromise with other works. The result shows the heat transfer grows via mounting nanofluid volume fraction. The increment of Ra number also leads the heat transfer to ascend. Heat transfer of nanofluid with three different shapes of nanoparticles is studied, and results show the platelet nanoparticle is better than the other ones. The influence of magnetic field on heat transfer is also investigated and discussed. The obtained outcomes represent that at a certain Rayleigh number, the average Nusselt number descends with the ascendant of Hartmann number. Finally, the new correlation is reported for calculating the Nu number in these geometries.

Journal ArticleDOI
TL;DR: In this paper, the authors investigate the heat transfer and entropy generation characteristics of water-based hybrid nanofluid in natural convection flow inside a concentric horizontal annulus.
Abstract: This paper aims to numerically investigate the heat transfer and entropy generation characteristics of water-based hybrid nanofluid in natural convection flow inside a concentric horizontal annulus.,The hybrid nanofluid is prepared by suspending tetramethylammonium hydroxide-coated Fe3O4 (magnetite) nanoparticles and gum arabic (GA)-coated carbon nanotubes (CNTs) in water. The effects of nanoparticle volume concentration and Rayleigh number on the streamlines, isotherms, average Nusselt number and the thermal, frictional and total entropy generation rates are investigated comprehensively.,Results show the advantageous effect of hybrid nanofluid on the average Nusselt number. Furthermore, the study of entropy generation shows the increment of both frictional and thermal entropy generation rates by increasing Fe3O4 and CNT concentrations at various Rayleigh numbers. Increasing Rayleigh number from 103 to 105, at Fe3O4 concentration of 0.9 per cent and CNT concentration of 1.35 per cent, increases the average Nusselt number, thermal entropy generation rate and frictional entropy generation rate by 224.95, 224.65 and 155.25 per cent, respectively. Moreover, increasing the Fe3O4 concentration from 0.5 to 0.9 per cent, at Rayleigh number of 105 and CNT concentration of 1.35 per cent, intensifies the average Nusselt number, thermal entropy generation rate and frictional entropy generation rate by 18.36, 22.78 and 72.7 per cent, respectively.,To the best knowledge of the authors, there are not any archival publications considering the detailed behaviour of the natural convective heat transfer and entropy generation of hybrid nanofluid in a concentric annulus.

Journal ArticleDOI
TL;DR: In this article, the effect of the inclination angle of finned enclosures on the development of buoyancy-driven convection flows is investigated, and the results showed that the melting time reduces by decreasing the inclination angles of the enclosure due to the intensification of the natural convection flow and increase in the number of vortices in the liquid PCM.

Journal ArticleDOI
TL;DR: In this paper, a mathematical model is presented to investigate the natural convection boundary-layer flow of a water-based nanofluid containing gyrotactic microorganisms over a truncated cone with convective boundary condition at the surface.
Abstract: A mathematical model is presented to investigate the natural convection boundary-layer flow of a water-based nanofluid containing gyrotactic microorganisms over a truncated cone with convective boundary condition at the surface. The governing partial differential equations are converted into ordinary differential equations by using suitable transformations. These equations are solved numerically using RKF7 with shooting method. Several comparisons with previously published works are reported and the results are found to be in excellent agreement. The numerical results are obtained and discussed for nanoparticle concentration, density of motile microorganisms profiles as well as the local skin-friction coefficient local Nusselt number, the local Sherwood number, the local density number of the motile microorganisms. It is found that density number of motile microorganisms, Sherwood number, Nusselt number and skin friction increase along the surface.

Journal ArticleDOI
TL;DR: Outcomes revels that considering higher magnetic forces results in greater conduction mechanism and permeability can enhance the temperature gradient.
Abstract: In the present research, aluminum oxide- water (Al2O3-H2O) nanofluid free convection due to magnetic forces through a permeable cubic domain with ellipse shaped obstacle has been reported. Lattice Boltzmann approach is involved to depict the impacts of magnetic, buoyancy forces and permeability on nanoparticles migration. To predict properties of Al2O3- water nanofluid, Brownian motion impact has been involved. Outcomes revels that considering higher magnetic forces results in greater conduction mechanism. Permeability can enhance the temperature gradient.

Journal ArticleDOI
TL;DR: In this article, the role of natural convection and thermal radiation on thermo-hydrodynamics of nanofluid heat transfer in an annulus between a wavy circular cylinder and a rhombus enclosure subject to a uniform magnetic field is investigated.

Journal ArticleDOI
TL;DR: In this article, the effects of a hybrid nanofluid in a square cavity that is divided into two equal parts by a vertical flexible partition in the presence of a magnetic field are investigated.
Abstract: The aim of the present study is to investigate the effects of a hybrid nanofluid in a square cavity that is divided into two equal parts by a vertical flexible partition in the presence of a magnetic field. A numerical method called the Galerkin finite element method is utilized to solve the governing equations. The effects of different parameters, namely the Rayleigh number (106 ≤ Ra ≤ 108) and the Hartmann number (0.0 ≤ Ha ≤ 200) as well as the effects of nanoparticles concentration (0.0 ≤ φ ≤ 0.02) and magnetic field orientation (0 ≤ γ ≤ π), on the flow and heat transfer fields for the cases of pure fluid, nanofluid and hybrid nanofluid are investigated. The results indicate that the streamline patterns change remarkably and the convective heat transfer augments with increasing values of the Rayleigh number. Additionally, the maximum stress imposed on the flexible partition resulting from the interaction of the partition and pure fluid is more than those caused by the nanofluid and the hybrid nanofluid. Furthermore, the increase in the magnetic field strength decreases the fluid velocity in the cavity, which declines the fluid thermal mixing and heat transfer effects.

Book
10 Jul 2019
TL;DR: In this paper, the authors describe a thermal convection with LTNE and LTNE with double diffusive convection in a Porous Layer with Solid Partitions. But they do not discuss the effect of LTNE on the dynamics of the Porous Media.
Abstract: Introduction.- Thermal Convection with LTNE.- Rotating Convection with LTNE.- Double Diffusive Convection with LTNE.- Vertical Porous Convection with LTNE.- Penetrative Convection.- LTNE and Multi-layers.- Other Convection/Microfluidic Scenarios.- Convection with Slip Boundary Conditions.- Convection in a Porous Layer with Solid Partitions.- Convection with Produting Baffles.- Anisotropic Inertia Effect.- Bidispersive Porous Media.- Resonance in Thermal Convection.- Thermal Convection in Nanofluids.- References.

Journal ArticleDOI
TL;DR: In this paper, the impact of changing different parameters and nanoparticles shape, named Bricks, Cylinders, Platelets and Blades on temperature and velocity distribution has been explored.
Abstract: In this article, natural convection 3D magneto hydrodynamic flow and heat transfer of MoS2–Ag/ ethylene glycol-water (50–50%) hybrid Nano fluid along a vertical stretching surface in the attendance of variable thermal conductivity, non-linear thermal radiation and nanoparticle shape factor has been analyzed using Runge–Kutta Fehlberg fifth order (RKF 5) numerical method. The impact of changing different parameters and nanoparticles shape, named Bricks, Cylinders, Platelets and Blades on temperature and velocity distribution has been explored. Outputs demonstrate Lorentz force produced by increasing Hartman number (Ha) causes reduction in velocity profile. Increasing thermal radiation and shape factor caused increase in temperature profile and Nusselt number (Nu). The impact of hybrid nanoparticles on increasing Nusselt number is more than nanoparticle. Furthermore, validation of obtained results indicates the high accuracy of solving method employed in this paper.

Journal ArticleDOI
TL;DR: In this paper, the impact of Brownian motion on the thermal conductivity of nanofluid is studied numerically using Control Volume Finite Element Method (CVFEM).

Journal ArticleDOI
TL;DR: By employing the finite element method, thermophoresis and Brownian diffusion are studied numerically relating to the natural convection in a wavy cavity that is filled with an Al 2 O 3 -water nanofluid possessing a central heat-conducting solid block that is influenced by the local heater located on the bottom wall as mentioned in this paper.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the effect of inclined uniform magnetic field on convection heat transfer of copper-water nanofluid in a porous gap between hot internal rectangular cylinder and cold external circular cylinder.
Abstract: Natural convection heat transfer of copper–water nanofluid in a porous gap between hot internal rectangular cylinder and cold external circular cylinder under the effect of inclined uniform magnetic field has been investigated. Domain of interest is a porous sector, where horizontal and vertical adiabatic borders are the external circular cylinder radii. Governing equations formulated in dimensionless stream function, vorticity and temperature variables using the Brinkman-extended Darcy model for the porous medium, single-phase nanofluid model with Brinkman correlation for the nanofluid viscosity and Hamilton and Crosser model for the nanofluid thermal conductivity have been solved numerically by the control volume finite element method. Effects of the Rayleigh number, Hartmann number, Darcy number, magnetic field inclination angle, nanoparticles volume fraction, nanoparticles shape factor, nanoparticles material, nanofluid thermal conductivity and dynamic viscosity models and nanofluid electrical conductivity correlation on streamlines, isotherms, local and average Nusselt numbers have been studied. Obtained results have shown the heat transfer enhancement with the Rayleigh number, Darcy number, nanoparticles volume fraction and nanoparticles shape factor, while the heat transfer rate reduces with the Hartmann number and magnetic field inclination angle. At the same time, the average Nusselt number increases at about 16% when nanoparticles volume fraction rises from 0 till 4% for Ra = 105, Ha = 25, while for Ha = 0 one can find the heat transfer rate augmentation at about 9% for the same conditions. In the case of different nanofluid thermal conductivity and dynamic viscosity models, it has been found that KKL model reflects the heat transfer rate reduction with nanoparticles volume fraction, while for the Hamilton–Crosser–Brinkman model, the heat transfer rate increases. Comparison between the Maxwell correlation for the nanofluid electrical conductivity and the base fluid electrical conductivity illustrates an intensification of the convective heat transfer rate for high values of the Rayleigh number (Ra ≥ 104) in the case of Maxwell correlation for the nanofluid electrical conductivity. At the same time, the effect of the nanoparticles volume fraction becomes more significant when nanofluid electrical conductivity is a function of nanoparticles volume fraction.


Journal ArticleDOI
TL;DR: In this article, the authors analyzed the impact of natural convection on the melting process of shell-and-tube extended fin systems with a common tube height and found that large fin lengths lead to increased heat transfer enhancement.

Journal ArticleDOI
TL;DR: In this article, the effect of phase change materials (PCM) deployment on the performance of an air-cooled photovoltaic system is investigated, experimentally, in a setup provided in which the PVT is equipped with a sheet of PCM.
Abstract: Nowadays, solar energy is harvested in two different ways including the extraction of thermal energy in solar collectors and electrical energy generation in photovoltaic panels. The Photovoltaic panels convert a small fraction of absorbed solar radiation into electrical energy and waste the rest in the form of thermal energy that results in increasing the panel temperature and decreasing the electrical efficiency. Photovoltaic thermal systems (PVT) equipped with phase-change materials (PCM) are capable of benefiting from the storage when phase change happens. In this manuscript, the effect of PCMs deployment on the performance of an air-cooled photovoltaic system is investigated, experimentally. As such, the effect of PCM is deliberated in a setup provided in which the PVT is equipped with a sheet of PCM. Herein, the first case considers a natural convection and the other three cases regard three different forced air convection. The experimental results indicate that using PCM sheets of six millimeters thick leads to reducing the panel temperature to 4.3, 3.4, 3.6 and 3.7 °C in average in a natural flow mode, forced high-velocity, medium and low velocity, respectively. Moreover, decreasing the temperature results in increasing the outlet power and electrical efficiency. Accordingly, it is concluded that using PCMs leads to a significant increase in natural and forced convection situations.