Numerical Study of Free Convection Heat Transfer in a Square Cavity with a Fin Attached to Its Cold Wall

Jani, Saeid; Amini, Meysam; Mahmoodi, Mostafa

doi:10.1615/heattransres.2011002695

Cited by 13 publications

(5 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this study, a numerical technique based on the Galerkin weighted residual approach of finite element formulation is used to solve the non-dimensional linked similarity partial differential equations ( 12) through (15) with boundary conditions ( 16) through (21). For some fundamental differential equations for which an exact analytical solution is not feasible, the finite element method (FEM) is a mathematical technique to discover an approximate solution.…”

Section: Numerical Solutionmentioning

confidence: 99%

“…Many researchers have developed numerically and experimentally mixed convection flow and heat transfer in various geometrical enclosures and also research works are ongoing for better experiment. Because of its practical application in engineering and technology such as dynamics of lakes, reservoirs and cooling pond, nuclear reactors, solar energy storage, oil extraction, crystal growth, cooling of electronic devices and heat exchanger, different types of geometry of enclosures have been modeled by the researchers (Aydin 1999;Basak et al 2010;Jani et al 2013). For a square chamber heated by a touching apex partition, mixed convection was deliberated by Iwatsu et al (1993).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Magnetohydrodynamic Mixed Convection in a Vertical Rectangular Cavity with Semi-circular Heat Source and Circular Obstacle

Akhtar,

Hossain,

Alim

et al. 2023

Int. J. Appl. Comput. Math

View full text Add to dashboard Cite

A study of MHD mixed convection in a vertical rectangular cavity with semi-circular heat source and circular obstacles is accomplished numerically. A semi-circular heat source is placed at the middle of the bottom wall of the cavity and the top wall of the cavity is kept isothermally cooled while other walls are considered adiabatic. Moreover, a hollow circular cylinder is also placed as an obstruction at the center of the cavity. Finite element method is applied to determine a numerical solution of the non-linear coupled equations. Computations have been carried out for the flow and thermal fields inside the cavity which inclusively depends on the applied magnetic field parameter called Hartmann number (Ha) and other dimensionless numbers such as Reynolds number (Re), Richardson number (Ri) and Prandtl number (Pr). From this analysis it is observed that the fluid flow in the cavity is noticeably slowed down by the increase in Ha, heat transfer rate is significantly increased for increasing Re and Ri, but it decreased for increasing the values of Pr and Ha. In addition, the average temperature within the cavity shows opposite behaviors for variations in physical parameters studied except for Ha.

show abstract

Section: Numerical Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Mixed Convection in a Vertical Rectangular Cavity with Semi-circular Heat Source and Circular Obstacle

Akhtar,

Hossain,

Alim

et al. 2023

Int. J. Appl. Comput. Math

View full text Add to dashboard Cite

show abstract

“…Most researchers have used a certain pressure velocity schemes to derive an equation for pressure. S Jani et al, [3] studied fluid flow and natural convection heat transfer in a differentially heated square cavity with a fin attached to its cold wall. The governing equations were written in terms of the primitive variables and solved numerically using the finite volume method and the SIMPLER algorithm.…”

Section: Review Of Previously Related Studiesmentioning

confidence: 99%

Pressure-Velocity Coupling Schemes for Bouyancy Driven Flow in a Differentially Heated Cavity Using F.V.M and Matlab

Mberia

Karanja

Kimathi

2021

JAMCS

View full text Add to dashboard Cite

Numerical analysis of fluid flow is anchored on the laws of conservation. A challenge in solving the momentum equation arises due to the unavailability of an explicit pressure equation. To avoid solving the pressure term most researchers have eliminated it by cross differentiating the x and the y two dimensional momentum equations and subtracting them. This method introduces more variables to be solved in comparison to the primitive variables and is restricted to two-dimensional flows as streamlines do not exist in three-dimension. This method thus presents a serious limitation in analysis of fluid flow. In this study an equation for computing pressure has been developed using pressure - velocity coupling and used in solving the governing equations. The performance of three pressure velocity schemes namely; the Semi Implicit Method for Pressure linked Equation (SIMPLE), SIMPLE Revised (SIMPLER) and SIMPLE Consistent (SIMPLEC) for laminar buoyancy driven flow has been tested in order to establish the scheme that gives results consistent with bench mark data. The equations governing the flow are solved iteratively using finite volume method together with the central difference interpolating scheme. The solutions are presented for Rayleigh numbers of 103, 104, and 105. This resulted in the velocity profiles for the SIMPLE, SIMPLER, and SIMPLEC algorithm for a Rayleigh number of 104 and 105 converging to the same path. At a Rayleigh number of 103 however, SIMPLER algorithm undergoes a degradation in convergence with grid refinement at the baffle region. Results predicted by using the SIMPLEC algorithm are thus able to effectively compute the velocity of fluid flow in a differentially heated square enclosure with baffles for both low and higher Rayleigh numbers irrespective of the grid size.

show abstract

“…The MHD-oriented research field has become an important branch of fluid dynamics. The study of MHD flow applies to many industrial and engineering systems, such as nuclear reactors, heat exchangers [1], home ventilation systems, cooling of electronic equipment, solar energy collectors, nuclear reactors, chemical processing equipment, geothermal reservoirs, magnetic behavior of plasmas in fusion reactors, petroleum industries [2], boundary layer control in aerodynamics, crystal growth, and ship propulsion [3], to name a few [4,5].…”

Section: Introductionmentioning

confidence: 99%

Modeling the Natural Convection Flow in a Square Porous Enclosure Filled with a Micropolar Nanofluid under Magnetohydrodynamic Conditions

et al. 2020

View full text Add to dashboard Cite

The laminar, natural convective flow of a micropolar nanofluid in the presence of a magnetic field in a square porous enclosure was studied. The micropolar nanofluid is considered to be an electrically conductive fluid. The governing equations of the flow problem are the conservation of mass, energy, and linear momentum, as well as the angular momentum and the induction equations. In the proposed model, the Darcy–Brinkman momentum equations with buoyancy and advective inertia are used. Experimentally obtained forms of the dynamic viscosity, the thermal conductivity, and the electric conductivity are employed. A meshless point collocation method has been applied to numerically solve the flow and transport equations in their vorticity-stream function formulation. The effects of characteristic dimensionless parameters, such as the Rayleigh and Hartmann numbers, for a range of porosity and solid volume fraction of Al2O3 particles in a water-based micropolar nanofluid on the flow and heat transfer in the cavity are investigated. The results indicate that the intensity of the magnetic field significantly affects both the flow and the temperature distributions. Moreover, the addition of nanoparticles deteriorates the heat-transfer efficiency under specific conditions.

show abstract

Numerical Study of Free Convection Heat Transfer in a Square Cavity with a Fin Attached to Its Cold Wall

Cited by 13 publications

References 0 publications

Magnetohydrodynamic Mixed Convection in a Vertical Rectangular Cavity with Semi-circular Heat Source and Circular Obstacle

Magnetohydrodynamic Mixed Convection in a Vertical Rectangular Cavity with Semi-circular Heat Source and Circular Obstacle

Pressure-Velocity Coupling Schemes for Bouyancy Driven Flow in a Differentially Heated Cavity Using F.V.M and Matlab

Modeling the Natural Convection Flow in a Square Porous Enclosure Filled with a Micropolar Nanofluid under Magnetohydrodynamic Conditions

Contact Info

Product

Resources

About