Two-dimensional steady flow over a semi-circular cylinder: drag coefficient and Nusselt number

Abstract

The governing differential equations (continuity, momentum and thermal energy) describing the twodimensional steady flow of incompressible fluids have been solved numerically for the transverse flow over a semicircular cylinder with its base aligned parallel to the flow. Based on the limited time-dependent simulations, the flow is shown to be steady up to Reynolds number of 120. Reported herein are extensive numerical results on the detailed flow and temperature fields characterized in terms of streamlines, iso-vorticity contours, surface pressure distribution, isotherms and local Nusselt number variation on the surface of bluff body. Also, included here are the values of macroscopic parameters like drag and lift coefficients and Nusselt number over the following ranges of governing dimensionless groups: 0.01 Re B120; 1 B Pr B 500 with the maximum value of Peclet number B4,000. Finally, the present numerical results are correlated using simple equations thereby enabling the interpolation of the present results for the intermediate values of the Reynolds and Prandtl numbers.

Forced convection and entropy generation past a series of porous bodies with internal heat generation

“…´-1.85 10 . 4 It can be observed from figures 12-13 that a high entropy region (in the shape of a mushroom head) is present in the upstream region of the square body, and two tails in the downstream region. The region between the subsequent porous bodies has negligible entropy generation.…”

“…For the purpose of this grid sensitivity test, Da is fixed at -10 . 4 The analysis is carried out at = Re 20 and = Pr 1. Nu avg has been computed at the walls of all the four bodies, for each mesh structure, as represented in table 1.…”

“…It was also observed that the length of the vortices increased as Re became larger. Gode et al [4] investigated two-dimensional flow over a semi-circular solid cylinder. They investigated the flow separation and wake structures downstream of the cylinder and developed correlations between Nu , avg Re and Pr.…”

Unsteady Mixed Convection from Two Isothermal Semicircular Cylinders in Tandem Arrangement

“…Although the majority of these studies have focused on studying the cross-flow past bluff bodies such as cylinders of circular [1][2][3][4][5][6], elliptic [7][8][9][10], rectangular [11][12][13][14][15] and square cross-sections [16][17][18][19][20], there are fewer studies on the semicircular cylinder geometry [21][22][23][24]. Gode et al [25] studied numerically the momentum and heat transfer characteristics of a two-dimensional (2D), incompressible and steady flow over a semicircular cylinder and pointed out that the wake ceases to be steady somewhere in the range of 120 ≤ Re ≤ 130. Boisaubert and Texier [26] performed solid tracer visualizations to assess the effect of a splitter plate on the near-wake development of a semicircular cylinder for Reynolds numbers of Re ¼ 200 and 400 and three splitter plate configurations.…”

Transition to periodic unsteady and effects of Prandtl and Richardson numbers on the flow across a confined heated trapezoidal prism

“…The bulk of the heat transfer occurs from the front curved surface of the semi-circular cylinder. Similarly, Gode et al [11] examined the steady flow over a semi-circular cylinder with its base aligned parallel to the flow. The flow separates from the curved surface of the semicircular cylinder at Re of about 20-22.…”