per second for 8 sec. These data were immediately analyzed by a computer to obtain 

 the individual components of mean velocity, turbulence fluctuation, and Reynolds 

 stress on a real time basis. 



A traversing system with a streamlined strut was mounted on a guide plate that 

 permitted the traverse to be locked in various stationary positions parallel to the 

 longitudinal model axis. 



DISPLACEMENT BODY METHOD 

 The theoretical method evaluated in this report is an initial attempt at ex- 

 tending to three-dimensions the displacement body concept described by Wang and 

 Huang and by Huang et al., ' for axisymmetric bodies. The pressure distribution 

 is calculated using the XYZ Potential Flow (XYZPF) computer code of Dawson and 

 Dean. The input offsets to the XYZPF code are given in Table 1. The boundary- 

 layer flow over the body is calculated by using the differential method of Cebeci, 

 Chang, and Kaups (denoted C K) . The flow in the wake is modeled only in the near 



wake region of 0.93 <_ x/L <_ 1.05. 



2 11 



The C K method consists of using Keller's two-point finite difference method 



and Cebeci and Stewartson's procedure for computing flows in which the transverse 

 velocity component contains regions of reverse flow to solve three-dimensional 

 boundary-layer equations. The governing equations for three-dimensional incom- 

 pressible laminar and turbulent flows are given by 

 Continuity Equation 



I- (uh„ sin 9) + I- (wh, sin 0) + |- (vh-h_ sin 6) = (la) 



ox Z dz i dy i / 



x-Momentum Equation 



u8u.w9u. 9u „ 2 ^"5",tr2 'H'.t^ 



■7— -K 1- ■:;— - -;:; 1- V t; K^u cot 8 + K_w esc 9 + Ki„uw 



h^ dx h„ dz dy 1 2 12 



2 - 

 esc 



9 9(p/p) , cot 9 CSC 9 9(p/p) , 8 (^bi.^^^] (it) 



, 8x h 8z 8y \ 9y / 



