Answer:
I don't where you live, but I named few around the world. Some are Virgi..nia Tech, Unive..rsity of Flor..dia, and Oklah..oma Stat..e Univ..ersity.
We can find the change in the enthalpy through the tables A5 for Saturated water, pressure table.
For 1bar=1000kPa:
![T_{sat}=179.88\°c](https://tex.z-dn.net/?f=T_%7Bsat%7D%3D179.88%5C%C2%B0c)
![H_{fg} = 2014.6kJ/kg](https://tex.z-dn.net/?f=H_%7Bfg%7D%20%3D%202014.6kJ%2Fkg)
![c_p=4.18 kJkg^{-1}{K^{-1}](https://tex.z-dn.net/?f=c_p%3D4.18%20kJkg%5E%7B-1%7D%7BK%5E%7B-1%7D)
![\nu_g = 0.19436m^3/kg](https://tex.z-dn.net/?f=%5Cnu_g%20%3D%200.19436m%5E3%2Fkg)
Replacing,
![\Delta h = h_{fg}+c_p(T_{sat}-T_{inlet})](https://tex.z-dn.net/?f=%5CDelta%20h%20%3D%20h_%7Bfg%7D%2Bc_p%28T_%7Bsat%7D-T_%7Binlet%7D%29)
![\Delta h = 2014.6+4.18(179.88-24)](https://tex.z-dn.net/?f=%5CDelta%20h%20%3D%202014.6%2B4.18%28179.88-24%29)
![\Delta h=2666.17kJ/kg](https://tex.z-dn.net/?f=%5CDelta%20h%3D2666.17kJ%2Fkg)
With the specific volume we know can calculate the mass flow, that is
![\dot{m}=\frac{\frac{15000}{3600}}{0.19436}](https://tex.z-dn.net/?f=%5Cdot%7Bm%7D%3D%5Cfrac%7B%5Cfrac%7B15000%7D%7B3600%7D%7D%7B0.19436%7D)
![\dot{m} = 21.4378kg/s](https://tex.z-dn.net/?f=%5Cdot%7Bm%7D%20%3D%2021.4378kg%2Fs)
Then the heat required in input is,
![Q=\dot{m}\Delta h](https://tex.z-dn.net/?f=Q%3D%5Cdot%7Bm%7D%5CDelta%20h)
![Q=21.4378*2666.17](https://tex.z-dn.net/?f=Q%3D21.4378%2A2666.17)
![Q=57157.036kW](https://tex.z-dn.net/?f=Q%3D57157.036kW)
With the same value required of 15000m^3/h, we can calculate the velocity of the water, that is given by,
![V= \frac{\dotV}{A}](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B%5CdotV%7D%7BA%7D)
![V = \frac{\frac{15000}{3600}}{\pi /4 *(0.15)^2}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%5Cfrac%7B15000%7D%7B3600%7D%7D%7B%5Cpi%20%2F4%20%2A%280.15%29%5E2%7D)
![V=235.79m/s](https://tex.z-dn.net/?f=V%3D235.79m%2Fs)
Finally we can apply the steady flow energy equation, that is
![\dot{m}(h_1+\frac{V^2}{2000})+Q = \dot{m}h_2](https://tex.z-dn.net/?f=%5Cdot%7Bm%7D%28h_1%2B%5Cfrac%7BV%5E2%7D%7B2000%7D%29%2BQ%20%3D%20%5Cdot%7Bm%7Dh_2)
Re-arrange for Q,
![Q=\dot{m}(h_2-h_1-\frac{V^2}{2000})](https://tex.z-dn.net/?f=Q%3D%5Cdot%7Bm%7D%28h_2-h_1-%5Cfrac%7BV%5E2%7D%7B2000%7D%29)
![Q=\dot{m}(\Delta h-\frac{V^2}{2000})](https://tex.z-dn.net/?f=Q%3D%5Cdot%7Bm%7D%28%5CDelta%20h-%5Cfrac%7BV%5E2%7D%7B2000%7D%29)
![Q= (21.4378)(2666.17-\frac{235.79^2}{2000})](https://tex.z-dn.net/?f=Q%3D%20%2821.4378%29%282666.17-%5Cfrac%7B235.79%5E2%7D%7B2000%7D%29)
![Q= 56560.88kW](https://tex.z-dn.net/?f=Q%3D%2056560.88kW)
We can note that consider the Kinetic Energy will decrease the heat input.
Answer:
Quadrants are counter-clockwise because angles are measured counter-clockwise; and angles are measured counter-clockwise so that Cross Product of unit vector in X direction with that in the Y direction has to be the unit vector in the Z direction (coming towards us from the origin).
Explanation: