Chapter 09:Differential Analysis of Fluid Flow

Example 9.9-11,Page No:437

In [1]:
import math

#Variable Decleration
V=1 #Velocity of water in the channel in m/s
w=2 #Width of the channel in m
psi_wall=0 #Streamline at the wall m^2/s
psi_dividing=V #Streamline at the dividing m^2/s
delta=0.21
psi_18=1.8 #Streamline at 1.8 in m^2/s
psi_16=1.6 #Streamline at 1.6 in m^2/s

#Calculations
#Volumetric Flow rate per unit width
V_dot_by_w=psi_dividing-psi_wall #Volumertic Flow rate per unit width in m^2/s
V_dot=V_dot_by_w*w #Volumetric flow Rate in m^3/s

#Estimation of the velocity at A
V_A=(psi_18-psi_16)/delta #Velocity at point A in m/s

#Result
print "The velocity at point A is",round(V_A,2),"m/s"
The velocity at point A is 0.95 m/s