Simulation of unsteady natural convection flow of a Casson viscoplastic fluid in a square enclosure utilizing a MAC algorithm

Devi, T. Sarala; Lakshmi, C. Venkata; Venkatadri, K.; Prasad, V. Ramachandra; Bég, O. Anwar; Reddy, M. Suryanarayana

doi:10.1002/htj.21690

Cited by 26 publications

(11 citation statements)

References 24 publications

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“…4 and are the cavity's inclination angle v = 0 in case (I) and v ¼ p 4 in case (II). The average heat transfer rate is computed for four combinations of ternary nanofluids: Source: Wan et al, 2001;De Vahl Davis, 1983;Devi et al, 2020 In case (I), in the absence of the magnetic field parameter (Ha = 0), the primary and secondary circulation cells are formed horizontally within the cavity. The primary circulation cells are densely formed at the bottom of the cavity, while some secondary cells are formed in the upper part of the cavity, as portrayed in Figure 4(a) (I).…”

Section: Resultsmentioning

confidence: 99%

“…We modified the current flow model to the Wan et al (2001) model, and then the accuracy was checked by streamlines, isotherms and U and V velocity profiles, which showed good agreement. Further, the obtained average Nusselt number results are numerically compared with Wan et al (2001), De Vahl Davis (1983) and Devi et al (2020) analysis, as shown in Table 5. It shows good accuracy with their results.…”

Section: Marker and Cell Procedures And Validationmentioning

confidence: 99%

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Numerical computation on MHD natural convective ternary nanofluid flow and heat transfer in a porous square cavity: Marker-and-cell technique

Thirumalaisamy

Reddy

2023

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Purpose The analysis of fluid flow and thermal transport performance inside the cavity has found numerous applications in various engineering fields, such as nuclear reactors and solar collectors. Nowadays, researchers are concentrating on improving heat transfer by using ternary nanofluids. With this motivation, the present study analyzes the natural convective flow and heat transfer efficiency of ternary nanofluids in different types of porous square cavities. Design/methodology/approach The cavity inclination angle is fixed ω = 0 in case (I) and ω=π4 in case (II). The traditional fluid is water, and Fe3O4+MWCNT+Cu/H2O is treated as a working fluid. Ternary nanofluid's thermophysical properties are considered, according to the Tiwari–Das model. The marker-and-cell numerical scheme is adopted to solve the transformed dimensionless mathematical model with associated initial–boundary conditions. Findings The average heat transfer rate is computed for four combinations of ternary nanofluids: Fe3O4(25%)+MWCNT(25%)+Cu(50%),Fe3O4(50%)+MWCNT(25%)+Cu(25%),Fe3O4(33.3%)+MWCNT(33.3%)+Cu(33.3%) and Fe3O4(25%)+MWCNT(50%)+Cu(25%) under the influence of various physical factors such as volume fraction of nanoparticles, inclined magnetic field, cavity inclination angle, porous medium, internal heat generation/absorption and thermal radiation. The transport phenomena within the square cavity are graphically displayed via streamlines, isotherms, local and average Nusselt number profiles with adequate physical interpretations. Practical implications The purpose of this study is to determine whether the ternary nanofluids may be used to achieve the high thermal transmission in nuclear power systems, generators and electronic device applications. Social implications The current analysis is useful to improve the thermal features of nuclear reactors, solar collectors, energy storage and hybrid fuel cells. Originality/value To the best of the authors’ knowledge, no research has been carried out related to the magneto-hydrodynamic natural convective Fe3O4+MWCNT+Cu/H2O ternary nanofluid flow and heat transmission filled in porous square cavities with an inclined cavity angle. The computational outcomes revealed that the average heat transfer depends not only on the nanoparticle’s volume concentration but also on the existence of heat source and sink.

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Section: Resultsmentioning

confidence: 99%

Section: Marker and Cell Procedures And Validationmentioning

confidence: 99%

Numerical computation on MHD natural convective ternary nanofluid flow and heat transfer in a porous square cavity: Marker-and-cell technique

Thirumalaisamy

Reddy

2023

HFF

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“…Based on the discussed assumptions, the dimensional coupled partial differential equations are (the conservation of mass, momentum, and thermal transport equations) expressed in the Cartesian form as follows 11,35‐38

\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0,

ρ (\frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y}) = - \frac{\partial p}{\partial x} + (μ + κ) (\frac{\partial^{2} u}{\partial x^{2}} + \frac{\partial^{2} u}{\partial y^{2}}) + κ \frac{\partial N}{\partial y},

ρ (\frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + v \frac{\partial v}{\partial y}) = - \frac{\partial p}{\partial y} + (μ + κ) (\frac{\partial^{2} v}{\partial x^{2}} + \frac{\partial^{2} v}{\partial y^{2}}) - κ \frac{\partial N}{\partial x} - \frac{σ}{ρ} B_{0}^{2} v + g β (T - T_{c}),

ρ j (\frac{\partial N}{\partial t} + u \frac{\partial N}{\partial x} + v \frac{\partial N}{\partial y}) = γ (\frac{\partial^{2} N}{∂<...>})

…”

Section: Problem Formulation and Governing Equationsmentioning

confidence: 99%

Numerical simulation of natural convection heat transfer from a heated square cylinder in a square cavity filled with micropolar fluid

2021

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A numerical investigation has been performed to visualize the magnetohydrodynamic natural convective heat transfer from a heated square cylinder situated within a square enclosure subjected to nonuniform temperature distributions on the left wall. The flow inside the enclosure is unsteady, incompressible, and laminar and the working fluid is micropolar fluid with constant Prandtl number (Pr = 7). The governing equations of the flow problem are the conservation of mass, energy, and linear momentum, as well as the angular momentum equations. Governing equations formulated in dimensionless velocity and pressure form has been solved by Marker and Cell method with second‐order accuracy finite difference scheme. Comprehensive verification of the utilized numerical method and mathematical model has shown a good agreement with numerical data of other authors. The results are discussed in terms of the distribution of streamlines and isotherms and surface‐averaged Nusselt number, for combinations of Rayleigh number, Ra (103–106), Vortex viscosity parameter, K (0–5), and Ha parameter (0–50). It has been shown that an increase in the vortex viscosity parameter leads to attenuation of the convective flow and heat transfer inside the cavity.

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“…Aneeta Razaq et al 13 discussed Cattaneo-Christov heat flux and thermal transport processes. Khan et al 14 In this article, the influence of the diffusion-thermo and thermo-diffusion on double diffusive free convection in a square chamber filled with fluids, non-Darcy porous medium are investigated the resulting nondimensional partial differential equation of the boundary value problem is solved by the Marker and Cell (MAC) method [16][17][18] and the finite difference forward and backward scheme along a staggered grid system. The Dufour effect is the energy flow caused by concentration gradients, while the Soret effect is the mass flux caused by temperature gradients.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer characteristics of thermo‐diffusion (Soret) and diffusion‐thermo (Dufour) effects in a square cavity containing a non‐Darcy porous medium

Krishnamoorthy,

Ramachandra Prasad

2024

Heat Trans

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The impact of the double‐diffusive natural convection of water in a square enclosure with diffusion‐thermo and thermo‐diffusion around the non‐Darcy porous medium is studied numerically. The top and bottom side walls of the cavity are maintained at constant temperatures, while the vertical left and right walls are considered to be cold. Water is considered the working fluid. The resulting nondimensional partial differential equation is solved by the Marker and Cell (MAC) method by using a staggered grid system. The Dufour and Soret effects processes will be a significantly essential role in the double‐diffusive velocity flow processes. For different values of the relevant parameters, the fluid flow velocity, temperature, and concentration are presented for various Rayleigh numbers, Prandtl numbers, non‐Darcy, thermo‐diffusion, and diffusion‐thermo. The streamlines, isotherms, and iso‐concentration contours are obtained using the MATLAB software. Finally, it is observed that the Nusselt numbers increased with non‐Darcy, thermo‐diffusion, and Rayleigh numbers and decreased with diffusion‐thermo effects.

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Simulation of unsteady natural convection flow of a Casson viscoplastic fluid in a square enclosure utilizing a MAC algorithm

Cited by 26 publications

References 24 publications

Numerical computation on MHD natural convective ternary nanofluid flow and heat transfer in a porous square cavity: Marker-and-cell technique

Numerical computation on MHD natural convective ternary nanofluid flow and heat transfer in a porous square cavity: Marker-and-cell technique

Numerical simulation of natural convection heat transfer from a heated square cylinder in a square cavity filled with micropolar fluid

Heat transfer characteristics of thermo‐diffusion (Soret) and diffusion‐thermo (Dufour) effects in a square cavity containing a non‐Darcy porous medium

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