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probablyacommunist
11.03.2020 •
Engineering
Air flows steadily through a turbine that produces 3.5x 105 ft-lbf/s of work. Using the data below at the inlet and outlet, where the inlet is 10 feet below the outlet, please calculate the heat transferred in units of BTU/hr. You may assume steady flow and ignore viscous work.
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Ответ:
The heat transfer rate through the turbine is
.
Explanation:
Express the final form of the overall energy equation.
Here, the rate of heat addition to the control volume is
, shaft work rate is
, rate of accumulation of energy inside control volume is
, rate of work accomplished in viscous effects at the surface is
, and the net energy efflux from the control volume is
Write the following assumption.
There is no viscous work in the system,![\frac{\delta W_{\mu}}{d t}=0\\](/tpl/images/0543/5935/771d6.png)
Steady state flow of the system,![\frac{\partial}{\partial t} \iiint_{c, v} e \rho d V=0](/tpl/images/0543/5935/cc444.png)
Use the assumption condition in Equation (1).
Integrate the above equation.
Here, internal energy at entry section is
internal energy at exit section is
volumetric flow rate is Q, inlet fluid density is
, outlet fluid density is
, specific energy is e, exit velocity is
, inlet velocity is
, inlet pressure is
, outlet pressure is
, acceleration due to gravity is g and distance between inlet and outlet is z.
Calculate the cross section area at entry section.
Here, inlet diameter of pipe is![d_{1}](/tpl/images/0543/5935/7e590.png)
Substitute 0.962 ft for![d_{1}](/tpl/images/0543/5935/7e590.png)
Calculate the heat transfer rate through the turbine.
Substitute![0.08101 \mathrm{b}_{m} / \mathrm{ft}^{3} \text { for } \rho_{2}, 0.05341 \mathrm{b}_{m} / \mathrm{ft}^{3} \text { for } \rho_{1}, 0.726 \mathrm{ft}^{2} \text { for } A_{1}, 244 \mathrm{ft} / \mathrm{s} \text { for } v_{2}](/tpl/images/0543/5935/ef840.png)
Hence, the heat transfer rate through the turbine is
.
Ответ:
-6
Step-by-step explanation:
y is going -6
x is going up 1
so slope is -6