Figure 3 - uploaded by B. J. Gireesha
Content may be subject to copyright.
Isotherms for (a) / = 0.01, (b) / = 0.05, (c) / = 0.1 and (d) / = 0.3 (top to bottom) and Ra = 10, 200, 500, 1000 (left to right).
Source publication
The present paper deals with the magnetohydrodynamic boundary layer flow of a free convection heat transfer in an inclined square cavity filled with nanofluid-saturated porous medium. The effects of different nanoparticles Cu, Al2O3, TiO2 and SiO2 are considered. The top and bottom horizontal walls of cavity are considered adiabatic, while the vert...
Contexts in source publication
Context 1
... dimensionless boundary conditions are The dimensionless partial differential equations (6) and (7) Fig. 3 (continued) 8 B.C. Shekar et al. Fig. 4 (continued) 10 B.C. Shekar et ...
Context 2
... 436 Rayleigh number, the heat transfer in the cavity is charac- 437 terised by a thermally stratified core region and two thin 438 boundary layers on the vertical walls. The effect of nanoparti- 439 cle volume fraction is to decrease the rate of heat transfer. For 440 the higher values of /, the effect of Rayleigh number is very 441 meager. From Fig. 3(d) it can be seen that the isotherms are 442 almost vertically straight for Ra = 10 and slight changes for 443 Ra = ...
Similar publications
This paper scrutinizes the effect of viscous dissipation on unsteady two-dimensional boundary layer flow of Williamson nanofluid over a stretching/Shrinking wedge. To express the boundary condition in concentration problem the passive control concept used. The governing PDEs are converted to ODEs by means of a similarity transformation before being...
This paper numerically investigates the viscous dissipation effect on the boundary layer flow of an electrically-conducting viscoelastic fluid (Walter’s B liquid) past a nonlinear stretching sheet. The partial differential equations governing the flow problem are transformed into ordinary differential equations through similarity variables. The tra...
Natural convection boundary layer flow over a solid sphere in micropolar nanofluid with prescribed wall temperature is studied. Copper (Cu) and alumina (Al2O3) in water-based micropolar nanofluid has been considered. Tiwari and Das’s nanofluid model with realistic empirical correlations are considered to analyze the nanoparticles effects on natural...
The aim of this study is to investigate the effects of thermal radiation and chemical reactions on magnetohydrodynamic hyperbolic tangent liquid, which includes nanoparticles on a stretched surface while taking into account Brownian motion and thermophoresis. The nonlinear partial differential equations governing the system are converted into nonli...
In this study, we examine the combined effects of thermal radiation, chemical reaction on MHD
hydromagnetic boundary layer flow over a vertical cone filled with nanofluid saturated porous medium under
variable properties. The governing flow, heat and mass transfer equations are transformed into ordinary
differential equations using similarity varia...
Citations
... Numerous studies have explored the use of nanofluids in various geometries like shell, rotating channel, and surfaces under different effects such as magnetic, thermal radiation, and viscoelastic effects, with or without the presence of a porous medium. For instance, Balla et al. [4] used the finite element method to investigate the natural convection nanofluid flow inside an inclined porous square cavity with four different nanoparticles in the presence of a magnetic field. They concluded that heat transfer enhances with the increase of the inclination angle, reaching a maximum at θ=45°. ...
... Physical parameters were compared on MHD flows with hall current effects Das et al., [16] using Laplace technique. Chandra Shekar et al., [17] have put more interest on the study of nanofluids past a porous square cavity. Adnan et al., [18] have completedanarithmeticalexamination on the nanodiamond materials. ...
The main aim of this article is to analyze the flow properties of energy and mass transport flow of ethylene glycol (C2H6O2) based nanofluid over an infinite porous plate. A constant velocity U0 is applied to the plate, and warmth and attention are unspecified to fluctuate harmonically as of a steady denote at the shield through occasion. Three kinds of fluid nanoparticles namely Cu-C2H6O2, CuO-C2H6O2 as well as TiO2-C2H6O2 nano fluids are used. Through graphs and tables, the impacts of different fluid flow parameters are examined. The new parameters added in this analysis are thermal radiation and the angle of inclination. The objective of this work is to derive exact solution by perturbation method and analyze the variations in the flow. The diffusion thermo parameter as well as the radiation absorption parameter have been observed to improve the speed, the hotness, plus the resistance between skin cells. An examination of the skin friction coefficient numerically in detail for the engineering industry. This development has main consequences for Particles of nanoscale. The solid particles have an elevated conductivity, which accounts for this of Cu, CuO than those of TiO2. In addition, by means of an augment in the substance response constraint, it is seen so as to the solutal border layer thickness decreases.
... Neild and Bejan [26] presented a board literature review about convection in porous media. Balla et al. [27] investigated the flow and heat transfer of the MHD boundary layer in a nanofluid-filled inclined porous square cavity. Their results are obtained for different values of the Rayleigh number, inclination angle, magnetic field and nanofluid volume fraction. ...
Laminar mixed convection heat transfer in a vented square cavity separated by a porous layer filled with different nanofluids (Fe3O4, Cu, Ag and Al2O3) has been investigated numerically. The governing equations of mixed convection flow for a Newtonian nanofluid are assumed to be two-dimensional, steady and laminar. These equations are solved numerically by using the finite volume technique. The effects of significant parameters such as the Reynolds number (10 ≤ Re ≤ 1000), Grashof number (e3 ≤ Gr ≤ e6), nanoparticle volume fraction (0.1 ≤ φ ≤ 0.6), porous layer thickness (0 ≤ γ ≤ 1) and porous layer position (0.1 ≤ δ ≤ 0.9) are studied. Numerical simulation details are visualized in terms of streamline, isotherm contours, and average Nusselt number along the heated source. It has been shown that variations in Reynolds and Darcy numbers have an impact on the flow pattern and heat transfer within a cavity. For higher Reynolds (Re > 100), Grashof (Gr > e5) numbers and nanoparticles volume fractions the heat transfer rate is enhanced and it is optimal at lower values of Darcy number (Da = 10 −5). In addition, it is noticed that the porous layer thickness and location have a significant effect on the control of the heat transfer rate inside the cavity. Furthermore, it is worth noticing that Ag nanoparticles presented the largest heated transfer rate compared to other nanoparticles.
... In a 3D porous type enclosure subjected to cross GsCT, Ouzaouit et al., [24] observed thermosolutal convection. Balla et al., [25] used numerical analysis to investigate the effects of the cavity's inclination angle on the flow in the case of the magnetohydrodynamic natural convection of a porous saturated medium supplied with nanofluid in a square type cavity. The same author reexamined the same issue. ...
In the current study, cross-temperature and concentration gradients are used to model the in a binary fluid contained in an angled square cavity. Using a method, the , , and conservation equations were numerically solved. The inclined cavity under equal solutal buoyancy and thermal forces was the subject of the study . Since the horizontal components of the thermal and singular volume forces were equal but opposed to one another, an equilibrium solution for this situation that corresponds to the rest state of the immobile fluid is feasible. However, this equilibrium solution becomes unstable above a specific critical value of the , leading to vertical density stratification inside the enclosure. The results are shown using the and as well as the and for the flow intensity. The existence of the commencement of convection is demonstrated in this work, and both natural and anti-natural flow solutions are obtained. Subcritical convection has also been seen for the natural solution when the is more or less than unity. For the start of supercritical and subcritical convection, the number's critical values are identified. As the climbed, so did the flow's intensity and the rates at which heat and mass were transferred. Reducing flow intensity and accelerating mass transfer are the results of raising the . Different flow patterns are shown for an aspect ratio of 4, and the existence interval of the oscillatory solutions is calculated.
... In this case, magnifying the Hartmann number diminishes the circulation's strength and enlarges the curves of streamlines outwards, resulting in straightening of curves along the side walls. Balla et al. [7] scrutinized the features of magnetohydrodynamic free convective nanofluid flow within a porous enclosure of square shape, observing that the flow strength declines for augmenting the magnetic parameter. In addition, the augmentations in the strength of the magnetic field increase the isotherm's magnitudes. ...
A mathematical model is presented to analyze the mixed convective magnetohydrodynamic (MHD) flow of two different nanofluids within a cavity saturated with porous media. The Tiwari–Das model, along with Maxwell and Brinkman formulations, is adopted to feature the characteristics of the considered nanofluids. The two different working fluids of this investigation are considered aluminum oxide (Al2O3)-water and copper (Cu)-water nanofluids. The impacts of viscous dissipation, internal heat generation/absorption, magnetic field, and Joule heating are examined in this model. The robust, well-tested Marker And Cell (MAC) algorithm is utilized to numerically solve the transformed, dimensionless, nonlinear coupled two-dimensional momentum and energy conservation equations with the prescribed wall boundary conditions. The comparative study finds an upright accordance with the literature. The effect of various pertinent parameters on the rate of heat transfer, isotherms and streamlines contour distributions in the enclosure is graphically displayed. With an increment in nanoparticles volume fraction, the velocity and heat transfer inside the rectangular enclosure are increased. The Al2O3-water nanofluid and Cu-water nanofluid in order have 6.40% and 6.96% higher average heat transfer rate when 5% Al2O3/Cu nanoparticles are suspended into water. This kind of simulation may be useful in electromagnetic nanomaterials processing and hybrid fuel cells.
... Bondareva [35] analyzed the natural convection in a square cavity with a local heat source and an inclined magnetic field. Balla et al. [36,37] investigated double-diffusion natural convection in a tilted cavity occupied with nanofluid. Various nanoparticles are examined in the latter paper, including Cu, Al 2 O 3 , TiO 2 and SiO 2 . ...
In this article, we investigate the bioconvection in an inclined cavity comprising oxytactic microorganisms and nanofluid in the presence of Soret and Dufour in the porous medium. The governed nonlinear partial differential equations (PDE) of the model are reduced to a system of non-dimensional PDE. Further, a modified set of non-dimensional PDE with dimensionless parameters and boundary conditions are solved using the finite element method. The effects of relevant quantities on the streamlines, temperature gradient, iso-concentration of solute, nanoparticles and microorganisms concentration are examined in detail. The main conclusion is that the average Nusselt number and average Sherwood numbers of oxygen concentration and microorganisms are boosted with the inclination angle (ω=0∘−90∘).
... Kandasamy et al. [20] discussed MHD mixed convection nanofluid flow under a convective boundary condition. Chandrasekhar Balla et al. [21] pointed out MHD boundary layer flow in an inclined porous square cavity. Nalini et al. [22] reported on nanofluid over stretching sheet under uniform transverse strength of magnetic in the process of chemical reaction. ...
In hot and dry climates, evaporative cooling of the air by water spray can be applied in several requirements, such as evaporative condensers which the airflow is precooled by the water spray before it reaches the condenser. The interaction between water droplets and the air is a complicated two-phase flow that is affected by the several parameters. Here, an Eulerian-Lagrangian 3D model was developed to investigate the influence of important parameters on spray cooling performance in a rectangular duct. The evaluated parameters include the number of nozzles, inlet air flow rate, and spray water flow rate. The results represented that growth in the number of nozzles causes a reduction in the spray cooling efficiency. Thi s is due to decrease of droplets retention time within the duct by increasing the number of nozzles at a constant total spray flow rate in the cases. The maximum and minimum spray cooling efficiency belong to the cases with one nozzle at water flow rate of 20 l/h and four nozzle at water flow rate of 5 l/h, respectively. The difference between spray cooling efficiency at 3 and 4 number of nozzles is less than 1.8%. Moreover, increasing the air flow rate from 0.5 l/h to 2 l/h (by 300%) makes a decrease in the spray cooling efficiency up to 58.6%.
... In some applications, such as magnetic storage media, magnetic sensors, and cooling systems, the presence of a magnetic field is unavoidable, so some researchers noticed that adding nanoparticles significantly enhances the heat transfer [9][10][11][12]. Balla et al. [9] considered the effects of different nanoparticles in an inclined square cavity, which was affected by the magnetic field. ...
... In some applications, such as magnetic storage media, magnetic sensors, and cooling systems, the presence of a magnetic field is unavoidable, so some researchers noticed that adding nanoparticles significantly enhances the heat transfer [9][10][11][12]. Balla et al. [9] considered the effects of different nanoparticles in an inclined square cavity, which was affected by the magnetic field. Mohebbi and Rashidi [10] proved that energy transference intensifies with growth of the volume fraction of Al 2 O 3 particles in an L-shaped chamber. ...
In this study, the energy transference of a hybrid Al2O3-Cu-H2O nanosuspension within a lid-driven heated square chamber is simulated. The domain is affected by a horizontal magnetic field. The vertical sidewalls are insulated and the horizontal borders of the chamber are held at different fixed temperatures. A fourth-order accuracy compact method is applied to work out the vorticity-stream function view of incompressible Oberbeck–Boussinesq equations. The method used is validated against previous numerical and experimental works and good agreement is shown. The flow patterns, Nusselt numbers, and velocity profiles are studied for different Richardson numbers, Hartmann numbers, and the solid volume fraction of hybrid nanoparticles. Flow field and heat convection are highly affected by the magnetic field and volume fraction of each type of nanoparticles in a hybrid nanofluid. The results show an improvement of heat transfer using nanoparticles. To achieve a higher heat transmission rate by using the hybrid nanofluid, flow parameters like Richardson number and Hartmann number should be considered.
... They studied the flow behaviors in various shaped porous cavities with different types of boundary conditions. Balla et al. [26] focused on the analysis of the MHD boundary layer natural convective flow of various nanofluids by heating the left wall of the inclined porous cavity. It is noted that the Cu-water nanofluid provides a higher heat transfer rate and TiO 2 -water nanofluid provides a lesser heat transfer rate. ...
The present study focuses on non-linear natural convection effects on heat and fluid flow, which occurs in a porous cavity of square-shaped fill up with the Cu-water nanofluid under magnetic field effect. The ruling flow equations are utilized to describe the flow patterns inside a cavity due to the heated thermal wall boundary at the bottom. The Successive Over Relaxation method and implicit algorithm are employed to solve the ruling dimensionless equations. The solutions obtained by the numerical computation helps in understand the fluid/heat flow variation within the cavity. Streamfunction/Streamlines, Isotherms, Heatfunction/Heatlines are rendered to describe the heat and nanofluid flow in a cavity for various dimensionless parameters: \(\lambda\) (non-linear temperature parameter), \(Ha\) (Hartmann number), \(Ra\) (Rayleigh number), \(Da\) (Darcy number) and \(\phi\) (nanoparticle volume fraction). The Nusselt number (heat transfer) increases for increasing \(\lambda \) because of the incorporation in the non-linear convection effects, which improves the convection flow velocity. However, the damping effects of convection on applying a magnetic field (Lorentz force) cause a reduction in the convective heat transfer.
... Sheremet et al. [25] explained the influence of thermophoresis and Brownian motion on natural convection and heat transfer characteristics of nanofluid filled with porous media inside square cavity along left wavy wall and flat at right wall. Balla et al. [26] studied behavior of streamlines and isothermal lines of Cu, SiO 2 , TiO 2 , Al 2 O 3 type nanofluid flow inside an inclined cavity with magnetic field and angle of inclination. Mehmood et al. [27] perceived mixed convection of nanofluid filled with alumina nanoparticles and water as based fluid inside a lid-driven square cavity subjected to a magnetic field. ...
Numerical investigation on natural convection heat transfer of Tiwari-Das model nano-fluid inside a square cavity with thermal radiation and magnetic field is carried out in this analysis. Ethylene Glycol EG ð Þis considered as base fluid and TiO 2 (Titanium Oxide) considered as nanopar-ticles for the present investigation. The side horizontal walls of cavity are assumed to be adiabatic and isothermal conditions on both sides walls are considered in this analysis. The finite difference method is implemented to solve the governing non-linear partial differential equations representing momentum and temperature equations. The sway of volume fraction parameterð0:01 / 0:09Þ, magnetic field parameterð1:0 M 3:0Þ, Rayleigh number ð100 Ra 1000Þ, radiation parameter ð0:1 R 0:9Þ, Reynolds number ð0:1 Re 0:5Þ and Prandtl number ð5:2 Pr 7:2Þ on TiO 2 À EG nanofluid flow and heat transfer is illustrated through graphs. Furthermore, the codes of average Nusselt number with dissimilar values of pertinent parameters are also calculated and results are depicted through graphs. The result shows that, temperature of TiO 2 À EG nanofluid escalates inside the cavity with higher values of (M). Higher heat can be transferred from hot wall to cold wall when radiation parameter (R) intensifies. Ó 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
