Numerical study on the conjugate effect of joule heating and magnato-hydrodynamics mixed convection in an obstructed lid-driven square cavity

Rahman, M. M.; Алим, М. А.; Sarker, M. M. A.

doi:10.1016/j.icheatmasstransfer.2009.12.012

Cited by 107 publications

(41 citation statements)

References 17 publications

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“…The dimensionless equations describing the flow under Boussinesq approximation according to [11] are as follows:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The momentum and energy balance equations are the combination of mixed ellipticparabolic system of partial differential equations that have been solved by using the Galerkin weighted residual finite element technique of Rahman et al [11]. The basic unknowns for the above differential equations are the velocity components U, V, the temperature θ and the pressure P. The velocity components, the temperature profile and linear interpolation for the pressure distribution according to their highest derivative orders in the differential Eqs.…”

Section: Computational Proceduresmentioning

confidence: 99%

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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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“…The dimensionless equations describing the flow under Boussinesq approximation according to [11] are as follows:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Computational Proceduresmentioning

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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“…Fluid flow and heat transfer characteristics are examined in the domain of the Reynolds number, Grashof number and the dimensionless lid oscillation frequency. Rahman et al [5] investigated numerically the conjugate effect of joule heating and magnetic force, acting normal to the left vertical wall of an obstructed lid-driven cavity saturated with an electrically conducting fluid. Saha et al [6] have performed the numerical simulation of the mixed convection flow and heat transfer in a lid-driven cavity with wavy bottom surface.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study of Mixed Convection in Square Lid-Driven with Internal Elliptic Body and Constant Flux Heat Source on the Bottom Wall

et al. 2017

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The mixed convection in square lid-driven with internal elliptic body and constant flux heat source on the bottom wall is numerically simulated in this paper following a finite element method approach. The left moving wall and right moving wall are cold. The upper wall is insulated and so is the lower wall with heat flux located in the middle. The magnetic field of strength B is applied parallel to x-axis. Result is presented for different Richardson numbers (0.01 ≤ Ri ≤ 10) when Grashof numbers are (10 ≤ Gr ≤ 50) and Prandtl number is taken as Pr = 0.733 for all computations. The influence of the Richardson number on heat source surface is being investigated in this paper. Results are presented in the form of streamline and isotherm plots as well as the variation of the maximum temperature and Nusselt number at the heat source surface under different conditions. A detailed analysis of flow pattern shows that the mixed convection is based on the parameters Richardson number (Ri), Grashof number (Gr) and Reynolds number (Re).

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“…To control the convective heat transfer characteristics in various systems external magnetic field may be imposed in various systems [14][15][16][17][18]. Öztop et al [19] studied the effect of magnetic field in a top sided lid-driven enclosure with a corner heater.…”

Section: Introductionmentioning

confidence: 99%

Natural Convection and Entropy Generation in Nanofluid Filled Entrapped Trapezoidal Cavities under the Influence of Magnetic Field

Selimefendigil

Öztop

Abu‐Hamdeh

2016

Entropy

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Abstract:In this article, entropy generation due to natural convection in entrapped trapezoidal cavities filled with nanofluid under the influence of magnetic field was numerically investigated. The upper (lower) enclosure is filled with CuO-water (Al 2 O 3 -water) nanofluid. The top and bottom horizontal walls of the trapezoidal enclosures are maintained at constant hot temperature while other inclined walls of the enclosures are at constant cold temperature. Different combinations of Hartmann numbers are imposed on the upper and lower trapezoidal cavities. Numerical simulations are conducted for different values of Rayleigh numbers, Hartmann number and solid volume fraction of the nanofluid by using the finite element method. In the upper and lower trapezoidal cavities magnetic fields with different combinations of Hartmann numbers are imposed. It is observed that the averaged heat transfer reduction with magnetic field is more pronounced at the highest value of the Rayleigh number. When there is no magnetic field in the lower cavity, the averaged Nusselt number enhances as the value of the Hartmann number of the upper cavity increases. The heat transfer enhancement rates with nanofluids which are in the range of 10% and 12% are not affected by the presence of the magnetic field. Second law analysis of the system for various values of Hartmann number and nanoparticle volume fractions of upper and lower trapezoidal domains is performed.

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Numerical study on the conjugate effect of joule heating and magnato-hydrodynamics mixed convection in an obstructed lid-driven square cavity

Cited by 107 publications

References 17 publications

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

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

A Numerical Study of Mixed Convection in Square Lid-Driven with Internal Elliptic Body and Constant Flux Heat Source on the Bottom Wall

Natural Convection and Entropy Generation in Nanofluid Filled Entrapped Trapezoidal Cavities under the Influence of Magnetic Field

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