Laminar combined magnetoconvection in a wavy enclosure with the effect of heat conducting cylinder

Nasrin, Rehena

doi:10.1016/j.icheatmasstransfer.2011.06.005

Cited by 15 publications

(3 citation statements)

References 25 publications

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“…Basak et al [9] explored mixed convective flow in a lid-driven cavity with a porous substance. Nasrin [10] numerically investigated the mixed convective flow and heat transport in a lid-driven cavity with a sinusoidal wall. Saha et al [11] investigated various dimensionless groups.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convective Heat Transfer Analysis by Heatlines on a Lid‐Driven Cavity Having Heated Wavy Wall Containing Tilted Square Obstacle

Ali

Alim

Karim

2023

Mathematical Problems in Engineering

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The current problem studies the mixed convective heat transport by heatlines in lid-driven cavity having wavy heated walls with two diamond-shaped obstacles. The left and right vertical walls are both cold, whereas the top wall is adiabatic, and the bottom wavy wall is heated. The relevant governing equation has been calculated through using the finite element method as well as the Galerkin weighted residual approach. The implications of the Reynolds number 10 ≤ R e ≤ 500 , Richardson number 0.01 ≤ R i ≤ 10 , Hartman number 0 ≤ H a ≤ 100 , Prandtl number 0.015 ≤ P r ≤ 10 , Undulations number 1 ≤ N ≤ 4 , and inner diamond shape obstacle are depicted by the streamlines, isotherms, and the heatlines. The convection heat transfer is observed to be fully developed at a high Prandtl number, whereas heat conduction happens at poor Pr. In particular, the undulations number has the greatest effect on the streamlines and isotherm contrast to a flat area. The Nusselt numbers increase as the Reynolds and Prandtl numbers rise as well. The isotherm, streamlines, heatlines, Nusselt number, and fluid flow are shown graphically for several relevant dimensionless parameters. The result demonstrates that a single oscillation of a heated wall with such a poor Richardson number is optimal heat transport in the cavity. The presence of undulations minimizes the cavity area; the case N = 3 makes quicker fluid motions and better heat transfer in the present research. Additionally, the interior obstacle size reduces the amount of space it takes up within the wavy cavity, and it was observed that the obstacle with diamond size D = 0.15 is better than that with any other size.

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Section: Introductionmentioning

confidence: 99%

Mixed Convective Heat Transfer Analysis by Heatlines on a Lid‐Driven Cavity Having Heated Wavy Wall Containing Tilted Square Obstacle

Ali

Alim

Karim

2023

Mathematical Problems in Engineering

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“…The results illustrated that the average Nusselt number (Nu) at the heated surface increased with an increase of the number of waves as well as the Reynolds number, while decreased with increasing Hartmann number. Nasrin [17] made a numerical study of the flow characteristics on combined magnetoconvection in a lid-driven differentially heated square enclosure. This problem was solved by using finite element method of the partial differential equations, which were the heat transfer and stream function in Cartesian coordinates.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles

Hussein¹,

Hussain²

2015

Journal of Thermal Engineering

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A numerical study is presented for mixed convection flow of air (Pr=0.71) within a parallel motion two sided lid-driven parallelogrammic cavity in the presence of magnetic field. The left and right lid-driven sidewalls of the parallelogrammic cavity are maintained at isothermal hot and cold temperatures respectively and slide from bottom to top in upward parallel direction with a uniform lid-driven velocity. A magnetic field of strength (Box) is subjected in the horizontal direction. The horizontal walls of the cavity are considered thermally insulated. The finite volume method has been used to solve the governing Navier-Stokes and energy conservation equations of the fluid medium in the parallelogrammic cavity in order to investigate the effect of magnetic field on the flow and heat transfer for various values of Richardson number, skew angle and Hartmann number. The values of the governing parameters are the Hartmann number (0 ≤ Ha ≤ 75), Richardson number (0.01≤ Ri ≤100) and skew angle (-60° ≤ Φ ≤ 60°). The present numerical approach is found to be consistent and the results is presented in terms of streamlines and isotherm contours in addition with the average Nusselt number. It is found that as the Hartmann number increases the circulation of the rotating vortices is reduced and the conduction mode of heat transfer is dominant. Also, it is found that both Richardson number and direction of two sided lid-driven sidewalls affect the heat transfer and fluid flow in the parallelogrammic cavity. NOMENCLATURE BoxMagnetic induction in x-direction (Tesla) g Gravitational acceleration (m/s 2 ) Gr Grashof number H Height of the parallelogrammic cavity (m) Ha Hartmann number k Thermal conductivity of fluid (W/m.K) n Normal direction with respect to the left sidewall Nu Averge Nusselt number P Dimensionless pressure p Pressure (N/m 2 ) Pr Prandtl number Re Reynolds number Ri Richardson numberν Kinematic viscosity of the fluid (m 2 /s) µ Dynamic viscosity of the fluid (kg.s/m) ρ Density of the fluid (kg/m 3 ) σ Fluid electrical conductivity (W/m. K

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“…Their findings were that the corrugated lid-driven cavity could be considered as an effective heat transfer mechanism at larger wavy surface amplitudes and low Richardson number. Very recently Nasrin [9] conducted combined magnetoconvection in a wavy enclosure with the effect of heat conducting cylinder, where finite element method was used to simulate the governing equations. At the same year, Nasrin [10] performed aspect ratio effect of vertical lid driven chamber having a centered conducting solid on mixed magnetoconvection.…”

Section: Introductionmentioning

confidence: 99%

Joule Heating Effect on MHD Combined Convection in a Wavy Chamber Having Conducting Square Cylinder

Nasrin

2011

J. Sci. Res.

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The current simulation is focused on MHD combined convection flow and heat transfer characteristics in a square lid driven chamber. At the centre of this chamber a heat conducting solid square cylinder is located. Galerkin weighted residual finite element method is used to solve the governing equations of mass, momentum and energy. The left vertical wall of the chamber is mechanically lid driven and having temperature T cold and velocity V 0 . But the right wall is sinusoidal wavy pattern and contains more temperature

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Laminar combined magnetoconvection in a wavy enclosure with the effect of heat conducting cylinder

Cited by 15 publications

References 25 publications

Mixed Convective Heat Transfer Analysis by Heatlines on a Lid‐Driven Cavity Having Heated Wavy Wall Containing Tilted Square Obstacle

Mixed Convective Heat Transfer Analysis by Heatlines on a Lid‐Driven Cavity Having Heated Wavy Wall Containing Tilted Square Obstacle

Characteristics of Magnetohydrodynamic Mixed Convection in a Parallel Motion Two-Sided Lid-Driven Differentially Heated Parallelogrammic Cavity with Various Skew Angles

Joule Heating Effect on MHD Combined Convection in a Wavy Chamber Having Conducting Square Cylinder

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