Thermodynamic Otta Rankin System Project you know what it is lolI will put 3 days because I prefer to have it early to checkplease finish the first one first ENES232 Project #1
Due: May 8, 2019
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In an ideal Rankine cycle with reheat, superheated steam vapor enters the turbine at 10 MPa and
480 °C, while the condenser pressure is 6 kPa. Steam expands through the first-stage turbine to
0.7 MPa and then is reheated to 480 °C. All answers should have 4 significant digits. Without
using special software (Excel and calculators are acceptable.), perform the following tasks:
1. Calculate the total heat addition, net work of the cycle, heat extraction through condenser,
and thermal efficiency of this ideal Rankine cycle with reheat. [50]
2. From scratch, calculate the same quantities assuming that the pump and each turbine
stage have an isentropic efficiency of 80%. [50]
3. Draw the T-s diagrams for both cycles on the same plot. [50]
4. Draw the p-v diagrams for both cycles on the same plot. [50]
5. For a pressure of 7 bar right after the first stage turbine in the ideal Rankine cycle, create
two plots: thermal efficiency as a function of the reheat temperature from 200 °C to
500 °C; and the net work, heat addition, and heat extraction on the same graph as a
function of the reheat temperature from 200 °C to 500 °C. [35]
6. Is there a local maximum or minimum thermal efficiency for 200 °C < Treheat < 500 °C?
Explain why or why not? If so, what is it, at what reheat temperature does it occur, and
how does one determine such an efficiency? [15]
7. What did you learn from this exercise? [5]
Work by yourself. Fill out this page and include it in your report. For extra credit:
Use a software program (Matlab, Mathcad, or thermodynamics analysis programs, but
not Excel) to check your answers. Email me your attached programs and results. (10)
Type up cover page and report. (20)
Name: _____________________________
Number of hours spent on project: ______
Evaluation (For instructor use only; do not write in this area.)
Element
Ideal
Real
T-s
p-v
Plots
Max/Min
SW
TY
?
Score
/250
ENES232 Extra Credit Project #1
Due: May 8, 2019
2
In an ideal Otto cycle, before the compression process, the pressure is 14.7 psi and the
temperature is 530 °R. Without using special software (Excel and calculators are acceptable.),
perform the following tasks:
1. Calculate the thermal efficiency and the mean effective pressure for a compression ratio
of 8 and a maximum cycle temperature of 2000 °R. Specific heat is not constant. [50]
2. Draw the T-s and p-v diagrams for this cycle. [50]
3. For compression ratios of 4, 6, 8, 10, and 12, calculate in a table and plot thermal
efficiency and mean effective pressure as a function of maximum cycle temperatures
from 1000 °R to 4000 °R in increments of 1000 °R. [90]
4. Is there a local maximum or minimum thermal efficiency for any compression ratio in the
temperature range 1000 °R < Tcycle,max < 4000 °R? If so, what is it, at what maximum
cycle temperature does it occur, and how would you determine it? [10]
5. Is there a local maximum or minimum mean effective pressure for any compression ratio
in the temperature range 1000 °R < Tcycle,max < 4000 °R? If so, what is it, at what
maximum cycle temperature does it occur, and how would you determine it? [10]
6. Is there a value of the maximum cycle temperature, in which the mean effective pressure
is least dependent on compression ratio? If so, how would you determine the best
estimate for this value? [10]
7. What conclusions can you draw from your results? [10]
Work by yourself. Fill out this page and include it in your report. For extra credit:
Use a software program (Matlab, Mathcad, or thermodynamics analysis programs, but
not Excel) to check your answers. Email me your attached programs and results. (10)
Type up cover page and report. (20)
Name: _____________________________
Number of hours spent on project: ______
Evaluation (For instructor use only; do not write in this area.)
Element
?, mep
T-s
p-v
Plots
Max/Min ?
Max/Min mep
Conclusions
SW
TY
?
Score
/100
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