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2 Journal of Theoretical and Applied Mechanics

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Numerical analysis of the effects of changeable transverse and longitudinal pitches and porous media inserts on heat transfer from an elliptic tube bundle

Razzaghi H., Layeghi M., Goodarzi S., Lotfizadeh H.

Journal of Theoretical and Applied Mechanics

2014

Vol. 52 nr 3

767--780

In this paper, effects of changeable transverse and longitudinal pitches and porous media inserts on overall heat transfer from an elliptic tube bundle are studied numerically. Go- verning equations used for the analysis of fluid flow inside the porous media inserts are Darcy-Brinkman-Forchheimer equations, and for the fluid flow without porous inserts are classical Navier-Stokes equations. A finite volume code is used to solve the governing equ- ations. The tube bundle consists of 10 rows of elliptical tubes 3.17 cm in major diameter and 1.4 cm in minor diameter in a staggered arrangement. Aluminum foams are used as porous media inserts between the tubes with three different porosities. It is shown that the use of the aluminum foam enhances heat transfer significantly (more than 50% in some cases). However, the pressure drop increases as the Reynolds number grows. The differences among various cases are also discussed. Finally, it is shown that the overall heat transfer efficiency increases more effectively by increasing the transverse pitch with respect to the longitudinal and diagonal pitches while the flow regime remains laminar.

Lattice Boltzmann simulation of natural convection flow around a horizontal cylinder located beneath an insulation plate

Mehrizi A. A., Farhadi M., Afrouzi H. H., Shayamehr S., Lotfizadeh H.

Journal of Theoretical and Applied Mechanics

2013

Vol. 51 nr 3

729--739

In this paper, two-dimensional heat transfer solution of natural convection around an isothermal cylinder located beneath an insulation wall is studied. The effects of distance ratio of the cylinder to the wall as well as the impact of the dimensionless Rayleigh number in the flow and heat transfer are taken into account. Solving the flow equations for L/D ratio with values 0.5, 0.7, and 1.5 and the Rayleigh number ranging from 1000 to 40000 is carried out. The results are compared with the experimental data which present a good agreement. The results indicate that the effect of weakened natural convection flow in the cylinder commences when decreasing L/D ratio from the value 1.5 to 0.5 leading to a decline in heat transfer and the Nusselt number. This process occurs in all values of the Rayleigh number. For the ratio number greater than 1.5, the impact of adiabatic wall is neglected, and there is no significant influence on the natural convection flow. Increasing the angle from 0◦to180◦results in a fall in the Nusselt number which is as a consequence of growth in the distances of isothermal lines.