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Numerical study on laminar flow over three side-by-side cylinders

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Abstract

The present study has numerically investigated two-dimensional flow over three circular cylinders in an equidistant side-by-side arrangement at a low Reynolds number. For the study, numerical simulations are performed, using the immersed boundary method, in the range ofg* < 5 at Re=100, whereg* is the spacing between two adjacent cylinder surfaces divided by the cylinder diameter. Results show that the flow characteristics significantly depend on the gap spacing and a total of five kinds of wake patterns are observed over the range: modulationsynchronized (g*≥2), inphase-synchronized(g*≈l.5), flip-flopping (0.3<g*≲1.2), deflected (g*≈0.3), and single bluff-body patterns (g*<0.3). Moreover, the parallel and symmetric modes are also observed depending ong* in the regime of the flip-flopping pattern. The corresponding flow fields and statistics are presented to verify the observations.

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Abbreviations

Cd, Cl:

drag and lift coefficients

d :

cylinder diameter

g, g*(=g/d) :

gap spacing

M, N :

spatial resolution

p :

pressure

Re :

Reynolds number

St :

Strouhal number

t :

time

ui, (u, v):

velocity components

u∞:

free-stream vlocity

xi, (x, y):

Cartesian coordinates

Δ:

increment

—:

time-average

’:

fluctuation

γms :

root mean square

i :

indices (l, 2, 3)

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Correspondence to Sangmo Kang.

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Kang, S. Numerical study on laminar flow over three side-by-side cylinders. KSME International Journal 18, 1869–1879 (2004). https://doi.org/10.1007/BF02984335

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  • DOI: https://doi.org/10.1007/BF02984335

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