This paper deals with the problem of boundary layer growth on two circular cylinders in a flow with large Reynolds and Strouhal numbers. Analytic solutions for the stream function of the inner and outer flow field are obtained to the second order by using the method of matched asymptotic expansions. The dependence of the movement of the detachment points and the drag coefficients of the two cylinders on (i) the distance between them, (ii) the ratio of their radii, (iii) the Reynolds number and (iv) the acceleration parameter of the flow is investigated. The results obtained indicate that the mutual hydrodynamic interaction between two cylinders leads to some new relations and findings.