Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s)

Roy, S.; Basak, Tanmay

doi:10.1016/j.ijengsci.2005.01.002

Cited by 154 publications

(90 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The coefficients in element matrices are in the form of the integrals over the element area as Using reduced integration technique of Reddy [12] and Newton-Raphson method of Roy and Basak [13], the set of non-linear algebraic Eqs. (6) - (9) are transferred into linear algebraic equations.…”

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.

View full text Add to dashboard Cite

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

show abstract

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.

View full text Add to dashboard Cite

show abstract

“…Lyican and Bayazitoglu [3] performed an analytical study of natural convective heat transfer within trapezoidal enclosure. Roy and Basak [4] studied Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s). Kuyper and Hoogendoorn [5] investigated Laminar natural convection flow in trapezoidal enclosures to study the influence of the inclination angle on the flow and the dependence of the average Nusselt numbers on the Rayleigh number.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of MHD Natural Convection in a Rectangular Cavity and Partially Heated Wall

Alam¹,

Mollah²,

Alim³

et al. 2017

EAS

View full text Add to dashboard Cite

Abstract:In this paper numerical study is presented of two-dimensional laminar steady-state on megneto-hydrodynamics (MHD) free convection for heat flow patterns within rectangular enclosures. A finite element analysis is performed to investigate the effects of uniform heating and is also used for solving the Navier-Stokes and Energy balance equations. The horizontal bottom wall is divided into three sections. The middle section of the horizontal bottom wall was kept temperature at T h and the other two parts of the horizontal bottom wall were kept thermal insulation while the left and right vertical walls and the top wall of the cavity were maintained constant temperature Tc with T h >T c . Parametric studies of the fluid flow and heat transfer in the enclosure are performed for magnetic parameter Hartmann number (Ha = 0, 50, 100), Rayleigh number (Ra = 10 3 -10 6 ) and Prandtl number Pr=0.71. The streamlines, isotherms, average Nusselt number at the hot wall and velocity profiles and temperature distribution of the fluid in the enclosure are presented for the parameters. The numerical results indicated that the Hartmann number and Rayleigh number have strong influence on the streamlines and isotherms. Also the mentioned parameters have significant effect on average Nusselt number at the hot wall and average temperature of the fluid in the enclosure.

show abstract

“…Published works in the literature concern mainly the laminar flows in cavities with weak aspect ratios ( < 10) (Roy and Basak 2005;Basak et al 2006;Saeid and Yaacob 2006;Sathiyamoorthy et al 2007;Deng and Chang 2008;Basak et al 2011;Aswatha et al 2011;Aswatha et al 2012;Anandalakshmi and Basak 2013) or with a high value of ( = 40 ) (El Moutaouakil et al (2014b)). Overall, the objective of these works is to study the effect of non-uniform boundary conditions and control parameters on the flow and convective heat transfer characteristics in the cavity.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Turbulent Natural Convection by an Elliptic Relaxation Model in Tall Vertical Cavities with Linear Temperatures on Sidewalls

Moutaouakil

Zrikem

Abdelbaki

2017

JAFM

View full text Add to dashboard Cite

Turbulent natural convection of air is studied, by the elliptic-relaxation model − , in a tall vertical cavity whose hot and cold walls are maintained at linear temperatures of slopes and , respectively. The average temperatures of the active walls are located at mid-height of the cavity. Four situations are analyzed, corresponding to = = (case I ), = − = (case II ), = 0 and = (case III ), = and = 0 (case IV). These boundary conditions may be more representative or used to control heat transfer for certain systems. The effects of the slope (−1 ≤ ≤ 1), the aspect ratio of the cavity (10 ≤ ≤ 80) and the average Rayleigh number (5 × 10 ≤ ≤ 10 ) on the streamlines, isotherms, contours of the turbulent kinetic energy, heatlines, local and average Nusselt numbers are investigated. It is shown that the local and average heat transfers of cases III and IV can be deducted from those of cases I and II. The obtained dynamic and thermal fields as well as local and average heat transfers of the studied cases are quite different of those of the classical case corresponding to = 0. A simplified procedure for calculating the average Nusselt number is also developed for each case.

show abstract

Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s)

Cited by 154 publications

References 14 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

Finite Element Analysis of MHD Natural Convection in a Rectangular Cavity and Partially Heated Wall

Analysis of Turbulent Natural Convection by an Elliptic Relaxation Model in Tall Vertical Cavities with Linear Temperatures on Sidewalls

Contact Info

Product

Resources

About