102 



Prof. A. R. Richardson 



In such cases the velocity of the stream from surface to 

 bed is not monotonic, but rises to a maximum at some point 

 below the surface. 



The following table has been calculated for the values 

 a. = '9, B = l'll, <£ = 0, and represents the distribution of 

 velocity across AB in fig. 4. 



■9«f/ 



Q 







•479 



•05 

 •499 



•1 

 •516 



•15 

 •529 



•2 



•25 



•3 

 •527 



•35 

 •499 



•4 

 •440 



•45 



•288 



•536 



•536 



II. Flow over a Weir. 

 Take the origin at 0, the sharp edge of the weir (fig. 5). 



Fig. 5. 



f = 



f = Q 



Let i/r = be the stream-line from the edge, 



^=Q be the upper stream-line ; Q being the quantity 

 of fluid flowing over the notch in unit time. 

 Let v be the speed of the liquid at a place on the upper 

 stream surface where # = H. 

 Then over ^fr = Q, 



g 2 + 2w=r + 2gH, 



and using equation (1) 



,2_ ,,2 



^{CK*+»Q)}»* 



GK# 



iQ) ^Kr>-)]'. 



(i) 



