Mathematical Modelling of MHD Double – Diffusive Natural Convection Flow in a Square Enclosure

Venkatadri, K.; Mohiddin, S. Gouse; Reddy, M. Suryanarayana

doi:10.5098/hmt.9.33

Cited by 5 publications

(4 citation statements)

References 22 publications

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“…A similar analysis has been conducted by Valencia and Frederick 17 with partially active walls. The role of partially heated verticals on heat transfer in air of square enclosure has been reported by Kane et al 18 Recent studies of natural or mixed convection in a square cavity filled with different fluids and with different supplementary effects (eg, magnetic body forces, lid‐driven boundary, etc) have been presented in References 19–25 …”

Section: Introductionmentioning

confidence: 91%

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

Devi

Lakshmi

Venkatadri³

et al. 2020

Heat Trans

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Non-Newtonian fluids are increasingly being deployed in energy systems and materials processing. Motivated by these developments, in the current study, a numerical simulation is performed on twodimensional, unsteady buoyancy-driven flow in a square cavity filled with non-Newtonian fluid (Casson liquid). The enclosure geometry features vertical isothermal walls (with one at higher temperature than the other) and thermally insulated horizontal walls. The conservation equations for mass, momentum, and energy are normalized via appropriate transformations and the resulting dimensionless partial differential boundary value problem is solved computationally with a marker and cell algorithm, which features a finite difference scheme along with a staggered grid system. The projection method is employed to evaluate the pressure term. Extensive visualizations of the impact of emerging physical parameters (Rayleigh number and Casson viscoplastic parameter) on streamline and isotherm distributions in the cavity are presented for fixed Prandtl number. Nusselt number, that is, heat transfer rate, is increased with rising values of the Casson viscoplastic fluid parameter for any value of Rayleigh number. The density of streamlines increases with increasing values of Casson viscoplastic fluid parameter upto 1. Overall, the Casson fluid parameter plays a vital role in controlling the convective heat transfer within the enclosure. The computations are relevant to hybrid solar collectors, materials fabrication (polymer melts), etc. K E Y W O R D S finite difference scheme, flow visualization, free convection, isotherms, non-Newtonian (Casson) fluid, projection method, square enclosure, unsteady flow

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Section: Introductionmentioning

confidence: 91%

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

Devi

Lakshmi

Venkatadri³

et al. 2020

Heat Trans

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“…The finite difference scheme is implemented for the advection terms and a 2 nd order central difference scheme is utilized for diffusion term and the second order central differencing schemes are used (see [26][27][28][29][30][31][32][33][34]). We adopt a uniform mesh size 80×80 in the present computations which successfully achieves mesh-independent results.…”

Section: Numerical Solution and Validationmentioning

confidence: 99%

Effect of Various Tilted Positions of a Thin Fin on Natural Convection of Laminar Viscous Flow in a Square Cavity

Fazuruddin¹,

Sreekanth²,

Raju³

2021

IJHT

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An exhaustive numerical investigation is carried out to analyze the role of an isothermal heated thin fin on fluid flow and temperature distribution visualization in an enclosure. Natural convection within square enclosures finds remarkable pragmatic applications. In the present study, a finite difference approach is performed on two-dimensional laminar flow inside an enclosure with cold side walls and adiabatic horizontal walls. The fluid flow equations are reconstructed into vorticity - stream function formulation and these equations are employed utilizing the finite-difference strategy with incremental time steps. The parametric study includes a wide scope of Rayleigh number, Ra, and inclination angle ϴ of the thin fin. The effect of different Rayleigh numbers ranging Ra = 104-106 with Pr=0.71 for all the inclination angles from 0°-360° with uniform rotational length of angle 450 of an inclined heated fin on fluid flow and heat transfer have been investigated. The heat transfer rate within the enclosure is measured by means of local and average Nusselt numbers. Regardless of inclination angles of the thin fin, a slight enhancement in the average Nusselt number is observed when Rayleigh number increased for both the cases of the horizontal and vertical position of the thin fin. When the fin has inclined no change in average Nusselt number is noticed for distinct Rayleigh numbers.

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“…The flow field examiners are conducted pioneer work past few decades on fluid flow characteristics inside the cavity with various numerical techniques by using appropriate numerical grid system [14][15][16]. Several numerical investigators have been investigating the fluid flow behavior within the top lid driven cavity for moderate Reynolds number (Re) values.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Slip effect on Lid-Driven Cavity Flow Problem for High Reynolds Number: Vorticity – Stream Function Approach

Fazuruddin¹,

Sreekanth²,

Raju³

2021

MMEP

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Incompressible 2-D Navier-stokes equations for various values of Reynolds number with and without partial slip conditions are studied numerically. The Lid-Driven cavity (LDC) with uniform driven lid problem is employed with vorticity - Stream function (VSF) approach. The uniform mesh grid is used in finite difference approximation for solving the governing Navier-stokes equations and developed MATLAB code. The numerical method is validated with benchmark results. The present work is focused on the analysis of lid driven cavity flow of incompressible fluid with partial slip conditions (imposed on side walls of the cavity). The fluid flow patterns are studied with wide range of Reynolds number and slip parameters.

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Mathematical Modelling of MHD Double – Diffusive Natural Convection Flow in a Square Enclosure

Cited by 5 publications

References 22 publications

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

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

Effect of Various Tilted Positions of a Thin Fin on Natural Convection of Laminar Viscous Flow in a Square Cavity

Numerical Simulation of Slip effect on Lid-Driven Cavity Flow Problem for High Reynolds Number: Vorticity – Stream Function Approach

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