Question
In: Statistics and Probability
Cooling method for gas turbines. Refer to the Journal of Engineering for Gas Turbines and Power (January 2005) study of a high-pressure inlet fogging method for a gas turbine engine
Cooling method for gas turbines. Refer to the Journal of Engineering for Gas Turbines and Power (January 2005) study of a high-pressure inlet fogging method for a gas turbine engine, Exercise 4.13 (p. 188). Recall that you fit a first order model for heat rate (y) as a function of speed (x1), inlet temperature (x2), exhaust temperature (x3), cycle pressure ratio (x4), and air flowrate(x5) to data saved in the GASTURBINE file.
(a) Researchers hypothesize that the linear relationship between heat rate (y) and temperature (both inlet and exhaust) depends on air flow rate. Write a model for heat rate that incorporates the researchers’ theories.
(b) Use statistical software to fit the interaction model, part a, to the data in the GASTURBINE file. Give the least squares prediction equation.
(c) Conduct a test (at α = .05) to determine whether inlet temperature and air flow rate interact to effect heat rate.
(d) Conduct a test (at α = .05) to determine whether exhaust temperature and air flow rate interact to effect heat rate.
(e) Practically interpret the results of the tests, parts c and d.
Solutions
orchestra answered 2 years agoRelated Solutions
A study was conducted on a high-pressure inlet fogging method for a gas turbine engine. Researchers...
A study was conducted on a high-pressure inlet fogging method
for a gas turbine engine. Researchers considered two models.
Partial output is provided below.
Source
Df
SS
MS
F
Regression
5
148526859
29705372
94
Error
61
19370350
317547
Total
???
167897208
Source
Df
SS
MS
F
Regression
???
142586570
47528857
???
Error
63
25310639
401756
Total
???
167897208
Answer the following questions rounding off at the nearest
integer.
The number of observations collected for the study is equal
to
The...
A study was conducted on a high-pressure inlet fogging method for a gas turbine engine. Researchers...
A study was conducted on a high-pressure inlet fogging method
for a gas turbine engine. Researchers considered two models.
Partial output is provided below.
Source
Df
SS
MS
F
Regression
5
148526859
29705372
94
Error
61
19370350
317547
Total
???
167897208
Source
Df
SS
MS
F
Regression
???
142586570
47528857
???
Error
63
25310639
401756
Total
???
167897208
Answer the following questions rounding off at the nearest
integer.
1. The number of observations collected for the study is equal
to...
The temperature and pressure of the steam at the inlet of a high pressure turbine is...
The temperature and pressure of the steam at the inlet of a high pressure turbine is 500 ° C, respectively. It is 12 MPa and 300 ° C and 3MPa at its outlet. If the mass flow of steam is 400 kg / h, how much is the isentropic efficiency of the turbine?
In a marine gas turbine unit a high-pressure turbine drives the compressor, and a low-pressure turbine...
In a marine gas turbine unit a high-pressure turbine drives the
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suitable gearing. The overall pressure ratio is 4/1, and the
maximum temperature is 650⁰C. The isentropic efficiencies of the
compressor, High Pressure turbine, and Low Pressure turbine are
0.8, 0.83 and 0.85 respectively, and the mechanical efficiency of
both shafts is 98%.
Calculate the pressure entering the Low Pressure turbine when
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Turbines in electric power stations are driven by high pressure steam produced by boiling water in...
Turbines in electric power stations are driven by high pressure
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Before use, boilers are tested by filling them with water, and
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A gas turbine power plant operates on a Brayton cycles has a pressure ratio of 7....
A gas turbine power plant operates on a Brayton cycles
has a pressure ratio of 7. Air enters the
compressor at 300 K. The energy in the form of heat is transferred
to the air in the amount of 950
kJ/kg. Using a variable specific heat for air and assuming the
compressor isentropic efficiency is
83 percent and turbine isentropic efficiency is 85 percent.
Determine the followings:
(i) The highest temperature in the cycle [5 marks]
(ii) The net work...
Steam enters the high-pressure turbine of a steam power plant that operates on the ideal reheat...
Steam enters the high-pressure turbine of a steam power plant
that operates on the ideal reheat Rankine cycle at 6 MPa and 500°C
and leaves as saturated vapor. Steam is then reheated to 400°C
before it expands to a pressure of 10 kPa. Heat is transferred to
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A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1200 kPa.
A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1200 kPa. The working fluid is air, which enters the compressor at 300K at a rate of 150 m3/min and leaves the turbine at 773K. Using variable specific heats for air and assuming a compressor isentropic efficiency of 82 percent and a turbine isentropic efficiency of 88 percent, determine:
(a) the net power output
(b) the back work ratio
(c) the thermal efficiency
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