Desai and Lieber 



range < Re < 2 0, where Re is the Reynolds number based on the 

 cylinder radius. Corresponding to the two transformations, there are 

 two sets of programs. Solutions are evaluated specifically for the fol- 

 lowing discrete values of Re: 0.05, 0.125, 0.1875, 0.25, 0.50, 0.75, 1.0, 

 2.0, 2.1, 2.3, 2.4, 2.5, 2.75, 4.00, 7.5, 10.0, 15.0, and 20.0. These yield 

 meaningful results. 



The computed results for solution constants Y1(J), drag, pressure dis- 

 tribution around the cylinder, and a measure of error in certain sim- 

 plifying assumptions, are presented in a series of graphs. Plots of 

 streamline fields for the above values of Reynolds number are obtained 

 and they show that a vortex can be obtained as a sumi of at least the 

 first two harmonics in 9 of the stream function, and hence need not be 

 viewed as a singularity in the flow field. Further, the critical Reynolds 

 number at which separation begins is found thereby to be Re = 2.3. 

 These results are discussed in detail with reference to the existing 

 theoretical and experimental work. They are shown to be in accord 

 with the experimental work. 



SYMBOLS 



r, r 



This superscript designates dimensional quantities 



Radial coordinate 

 B, e Angular coordinate , • 



t, t Time coordinate •-- 



0, Stream function 

 u, u Radial velocity component 

 v, v Tangential velocity component 

 00, o) Vorticity field 

 p, p Pressure field 



h, h Physically infinite distance for whole flow field 

 , e^ Error in measuring the radial velocity 



Error in measuring the tangential velocity 



Error in measuring the pressure 

 E Rate of energy dissipation 



n Vorticity vector 



-> 



V Velocity vector 



490 



■ V ' V 



-p' "p 



