A numerical study of natural convection in concentric and eccentric horizontal cylindrical annuli with mixed boundary conditions

Application issues of the streamline, heatline and massline for conjugate heat and mass transfer

“…For the former method, the velocity should be obtained from the known distributions of streamfunction or vorticity [8,9]. The velocity and vorticity were also solved integrally [1,3].…”

“…Not only can the heatlines provide a convenient instantaneous visualization of the heat flow, the value of the Nusselt number is also given. Ho and Lin [8] presented heatlines for steady laminar two-dimensional natural convection in concentric and eccentric horizontal cylindrical annuli with mixed boundary conditions. Afterwards, Ho and Lin [9] examined steady laminar natural convection of cold water in a vertical annulus with a constant-heat-flux heated inner wall and an isothermally cooled outer wall, vividly visualizing by means of contour maps of heatlines and streamlines.…”

Numerical investigation of laminar natural convective heat transfer from a horizontal triangular cylinder to its concentric cylindrical enclosure

“…The experimental data reported in these two papers has frequently been referred to as benchmarking results. Since then, a great number of numerical efforts have been made to investigate the steady laminar natural convective heat transfer within horizontal concentric and eccentric circular annuli for different boundary conditions, i.e., isothermal [3][4][5][6][7][8][9][10], constant heat flux [11,12], and mixed boundary conditions [13,14]. The effects of radius ratios, eccentricities, Prandtl numbers [15], and temperature-dependent fluid properties [16] on natural convection have also been studied.…”

Transient Natural Convection in an Annulus with Thermal Radiation

“…To obtain the solutions of Equations ( (1) and (2)) subject to the conditions (4) in dimensionless form, the following appropriate dimensionless quantities are introduce to the problem:…”

“…[3] investigated natural convection of gasses in a horizontal annulus, where the inner cylinder is heated by the application of a constant heat flux and the outer cylinder is isothermally cooled. [4] conducted an investigation on natural convection in concentric and eccentric horizontal cylindrical annuli with mixed boundary conditions. In [5], natural convection in a narrow horizontal cylindrical annulus for fluid of 0.3 Pr ≤ been investigated.…”