A simple solution of the problem of inviscid flow past two circular cylinders is presented. The two cylinders may be of different diameters and located at any distance from each other. The solutions of the two main cases, namely, when the flow is perpendicular to the center-to-center line and when the flow is parallel to it (tandem cylinders), lead to a solution of the problem when the flow is in an arbitrary direction.

1.
Alassar
,
R. S.
,
Badr
,
H. M.
, and
Allayla
,
R.
, 2000, “
Viscous Flow Over a Sphere With Fluctuations in the Free-Stream Velocity
,”
Comput. Mech.
0178-7675,
26
(
5
), pp.
409
418
.
2.
Badr
,
H. M.
, 1994, “
Oscillating Inviscid Flow Over Elliptic Cylinders With Flat Plates and Circular Cylinders as Special Cases
,”
Ocean Eng.
0029-8018,
21
(
1
), pp.
105
113
.
3.
Alassar
,
R. S.
, and
Badr
,
H. M.
, 1999, “
Oscillating Flow Over Oblate Spheroids
,”
Acta Mech.
0001-5970,
137
(
3–4
), pp.
237
254
.
4.
Alassar
,
R. S.
, and
Badr
,
H. M.
, 1999, “
Oscillating Viscous Flow Over Prolate Spheroids
,”
Trans. Can. Soc. Mech. Eng.
0315-8977,
23
(
1A
), pp.
83
93
.
5.
Alassar
,
R. S.
, and
Badr
,
H. M.
, 1997, “
Analytical Solution of Oscillating Inviscid Flow Over Oblate Spheroids With Spheres and Flat Disks as Special Cases
,”
Ocean Eng.
0029-8018,
24
(
3
), pp.
217
225
.
6.
Hicks
,
W. M.
, 1880, “
On the Motion of Two Spheres in a Fluid
,”
Philos. Trans. R. Soc. London
0962-8428,
171
, pp.
455
492
.
7.
Basset
,
A. B.
, 1886, “
On the Motion of Two Spheres in a Liquid, and Allied Problems
,”
Proc. London Math. Soc.
0024-6115,
s1–18
, pp.
369
378
.
8.
Herman
,
R. A.
, 1887, “
On the Motion of Two Spheres in Fluid and Allied Problems
,”
Q. J. Math.
0033-5606,
22
, pp.
204
231
.
9.
Lamb
,
H.
, 1932,
Hydrodynamics
, 6th ed.,
Cambridge University Press
,
Cambridge, UK
, Chap. 6.
10.
Rouse
,
H.
, 1976,
Advanced Mechanics of Fluids
,
Krieger Publishing Company
,
Malabar, FL
, Chap. 3.
11.
Bentwich
,
M.
, 1978, “
Exact Solution for 2-Sphere Problem in Axisymmetrical Potential Flow
,”
ASME Trans. J. Appl. Mech.
0021-8936,
45
, pp.
463
468
.
12.
Sun
,
R.
, and
Chwang
,
A. T.
, 2001, “
Hydrodynamic Interaction Between a Slightly Distorted Sphere and a Fixed Sphere
,”
Theor. Comput. Fluid Dyn.
0935-4964,
15
, pp.
11
22
.
13.
Bjerknes
,
V. F. K.
, 1906,
Fields of Force
,
Columbia University Press
,
New York
.
14.
Lagally
,
M.
, 1929, “
The Frictionless Current in the Outer Areas of Double Circuits
,”
Z. Angew. Math. Mech.
0044-2267,
9
, pp.
299
305
.
15.
Lagally
M.
, 1931, “
The Frictionless Flow in the Region Around Two Circles
,” N.A.C.A. Technical Memorandum No. 626.
16.
Wang
,
Q. X.
, 2004, “
Interaction of Two Circular Cylinders in Inviscid Flow
,”
Phys. Fluids
1070-6631,
16
(
12
), pp.
4412
4425
.
17.
Crowdy
,
D. G.
,
Surana
,
A.
, and
Yick
,
K. -Y.
, 2007, “
The Irrotational Motion Generated by Two Planar Stirrers in Inviscid Fluid
,”
Phys. Fluids
1070-6631,
19
, p.
018103
.
18.
Crowdy
,
D. G.
, 2006, “
Analytical Solution for Uniform Potential Flow Past Multiple Cylinders
,”
Eur. J. Mech. B/Fluids
0997-7546,
25
, pp.
459
470
.
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