blob: 874c56af33485785fb5b1c7b944632c9146400b1 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
|
//Fluid System By Shiv Kumar
//Chapter 6 - Kaplan and Propeller Turbines
//Example 6.9
//To Determine Runner Vane Angles at the hub and at the Outer Periphery
clc
clear
//Given:
P=22500; //Power Available at Shaft, KW
H=20; //Head, m
N=150; //Rotational Speed, rpm
eta_H=95/100; //Hydraulic Efficiency
eta_0=88/100; //Overall Efficiency
D=4.5; //Outer Diameter of Runner, m
d=2; //Diameter of Hub, m
Vw=0; //As there is no exit whirl
//Data Required:
rho=1000; //Density of Water, Kg/m^3
g=9.81; //Acceleration due to gravity, m/s^2
//Computations
//Runner Vane Angles at Hub
uo=%pi*d*N/60; //m/s
ui=uo;
Q=P*10^3/(rho*g*H*eta_0); //Discharge, m^3/s
Vwi=eta_H*g*H/ui; //m/s
Vfi=Q/((%pi/4)*(D^2-d^2)) // m/s
Vfo=Vfi;
Beta_i=180-atand(Vfi/(ui-Vwi)); //Degrees
Beta_o=atand(Vfo/uo); //Degrees
//Result1
printf("Runner Vane Angles at the Hub \n\t")
printf("Beta_i=%.2f Degrees\n\t",Beta_i) //The answer vary due to round off error
printf("Beta_o=%.2f Degrees\n\n",Beta_o) //The answer vary due to round off error
// Runner Vane Angles at outer periphery
uo=%pi*D*N/60; //m/s
ui=uo;
Vwi=eta_H*g*H/ui; //m/s
Beta_i=180-atand(Vfi/(ui-Vwi)); //Degrees
Beta_o=atand(Vfo/uo); //Degrees
//Result2
printf("Runner Vane Angles at the Outer periphery \n\t")
printf("Beta_i=%.2f Degrees\n\t",Beta_i) //The answer vary due to round off error
printf("Beta_o=%.2f Degrees\n\n",Beta_o) //The answer vary due to round off error
|
