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A parabolized Navier-Stokes analysis of wake/boundary-layer flow along a cable in tow

Barnette, Daniel

A parabolized Navier-Stokes analysis of a turbulent, compressible, wake/boundary-layer flow field for a cable in tow is discussed. It is assumed that the cable is being towed by a missile-like configuration whose total drag coefficient is known. The cable is assumed to be perfectly aligned with the missile axis and is subjected to its wake. Modeled in the analysis is the far wake behind the missile, coupled with the turbulent boundary layer growth along the cable. An analytical starting solution for a parabolized Navier-Stokes code is presented. The starting solution is applicable downstream of the towing body's near wake and, therefore, circumvents the complex task of computing the towing body's flow field. An algebraic wake/boundary-layer turbulence model is used to simulate turbulent flow in both the decaying wake and growing boundary layer along the cable. Results are presented for a towing-body freestream Mach number of 5 and a Reynolds number of 36.0 x 106 per ft at select distances along a thin cable.