NOTE: include a copy of your equations and equations/code with your plots 1. (50 points) A...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
NOTE: include a copy of your equations and equations/code with your plots 1. (50 points) A non-afterburning turbojet is being designed for operation at an altitude of 15 km and a Mach number of 1.8. The maximum stagnation temperature at the inlet of the turbine is 1500 K. The fuel is a jet fuel having a LHV of 43124 kJ/kg and fst is 0.06. The following efficiencies apply at this Mach number: na = 0.9 nc = 0.9 1b = 0.98 1b = 0.97 nt = 0.92 1₂ = 0.98 Use a gamma value of 1.4 up to the burner, and a value of 1.3 for the rest of the engine. Assume R is 0.287 kJ/kgK throughout the engine. Plot the specific thrust, TSFC, nth, np, and no as a function of re, the total pressure ratio across the compressor. Is there an optimum re that minimizes TSFC? Is there an optimum re that maximizes specific thrust? Consider a range of re from 2 to 60. Assume the exhaust is ideally expanded. Also plot the nozzle area ratio as a function of re. 2. (50 points) Add an afterburner to the above situation. The maximum stagnation temperature downstream of the afterburner is 2000 K. The afterburner combustion efficiency mab is 0.95 and the total pressure ratio rab is 0.97. All other efficiencies remain the same. Use a gamma value of 1.4 up to the primary burner, and a value of 1.3 for the rest of the engine. Assume R is 0.287 kJ/kgK throughout the engine. Plot the specific thrust, TSFC, nth, np, and no as a function of re, the total pressure ratio across the compressor. Consider a range of re from 2 to 60. Assume the exhaust is ideally expanded. Also plot the nozzle area ratio as a function of re. Comment on the changes that occur due to the addition of the afterburner (i.e. compare the plots to that of problem 1). Note that the overall fuel-to-air ratio can not exceed the stoichiometric value (fb+fab ≤fst). Our stagnation relations for pressure and temperature assume constant specific heats. To attain a more accurate solution, we need to use the temperature dependent specific heats and specific heat ratios tabulated in appendix II from the book. Consider air at static conditions of 300 K and 1 atm. Construct a model to compute T/T and P/P as a function of Mach number from zero to four accounting for variable specific heats (i.e. use the values in the tables for air, and construct it as lookup function in your model), and compare to the results achieved using constant specific heats (i.e. our regular stagnation relations). A reminder, the stagnation process is modeled as isentropic, adiabatic, and no work. Plots the difference as a function of Mach number in terms of the absolute value of the relative error: abs P van ablespecificheats P P P constantspecific heats constantspecificheats abs T vansblespecificheats T constantspecific heats constantspecifichents NOTE: include a copy of your equations and equations/code with your plots 1. (50 points) A non-afterburning turbojet is being designed for operation at an altitude of 15 km and a Mach number of 1.8. The maximum stagnation temperature at the inlet of the turbine is 1500 K. The fuel is a jet fuel having a LHV of 43124 kJ/kg and fst is 0.06. The following efficiencies apply at this Mach number: na = 0.9 nc = 0.9 1b = 0.98 1b = 0.97 nt = 0.92 1₂ = 0.98 Use a gamma value of 1.4 up to the burner, and a value of 1.3 for the rest of the engine. Assume R is 0.287 kJ/kgK throughout the engine. Plot the specific thrust, TSFC, nth, np, and no as a function of re, the total pressure ratio across the compressor. Is there an optimum re that minimizes TSFC? Is there an optimum re that maximizes specific thrust? Consider a range of re from 2 to 60. Assume the exhaust is ideally expanded. Also plot the nozzle area ratio as a function of re. 2. (50 points) Add an afterburner to the above situation. The maximum stagnation temperature downstream of the afterburner is 2000 K. The afterburner combustion efficiency mab is 0.95 and the total pressure ratio rab is 0.97. All other efficiencies remain the same. Use a gamma value of 1.4 up to the primary burner, and a value of 1.3 for the rest of the engine. Assume R is 0.287 kJ/kgK throughout the engine. Plot the specific thrust, TSFC, nth, np, and no as a function of re, the total pressure ratio across the compressor. Consider a range of re from 2 to 60. Assume the exhaust is ideally expanded. Also plot the nozzle area ratio as a function of re. Comment on the changes that occur due to the addition of the afterburner (i.e. compare the plots to that of problem 1). Note that the overall fuel-to-air ratio can not exceed the stoichiometric value (fb+fab ≤fst). Our stagnation relations for pressure and temperature assume constant specific heats. To attain a more accurate solution, we need to use the temperature dependent specific heats and specific heat ratios tabulated in appendix II from the book. Consider air at static conditions of 300 K and 1 atm. Construct a model to compute T/T and P/P as a function of Mach number from zero to four accounting for variable specific heats (i.e. use the values in the tables for air, and construct it as lookup function in your model), and compare to the results achieved using constant specific heats (i.e. our regular stagnation relations). A reminder, the stagnation process is modeled as isentropic, adiabatic, and no work. Plots the difference as a function of Mach number in terms of the absolute value of the relative error: abs P van ablespecificheats P P P constantspecific heats constantspecificheats abs T vansblespecificheats T constantspecific heats constantspecifichents
Expert Answer:
Answer rating: 100% (QA)
Salution A non afterburing turbojet is being designed is the nonafferbaty for 2 calculate ... View the full answer
Related Book For
Quantitative Methods for Business
ISBN: 978-0324651751
11th Edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey cam
Posted Date:
Students also viewed these physics questions
-
For the set of data points provided below, u 0.3 1.5 4.2 6.3 7.2 V 129.3 -50.7 27.5 3.4 70.9 a) Determine the polynomial in the Newton's form that passes through the points. b) Plot the polynomial...
-
A gas turbine cycle has two stages of compression, with an intercooler between the stages. Air enters the first stage at 100 kPa, 300 K. The pressure ratio across each compressor stage is 5 to 1, and...
-
A gas turbine cycle has two stages of compression, with an intercooler between the stages. Air enters the first stage at 100 kPa, 300 K. The pressure ratio across each compressor stage is 5 to 1, and...
-
Prepare journal entries to record each of the following sales transactions for the sales company. The company uses a perpetual inventory system and the gross method. 1. April 1st Sold for $3,000,...
-
How are the three financial statements shown in this chapter connected?
-
Prove the following conditions using an arbitrage argument. In your proof, show the initial positive cash flow when the condition is violated and prove that there are no liabilities at expiration: a....
-
Coola Vents Ltd has prepared a fixed budget performance report for the year ended 30 June 2025 as follows. Required (a) Convert the fixed budget performance report prepared by Coola Vents Ltd to a...
-
Nixon Communications is trying to estimate the first-year operating cash flow (at t = 1) for a proposed project. The financial staff has collected the following information: Projected sales $10...
-
Silver Company makes a product that is very popular as a Mother's Day gift. Thus, peak sales occur in May of each year, as shown in the company's sales budget for the second quarter given below:...
-
Say-on-pay votes by shareholders are now quite common. Occasionally, shareholders' non-binding votes do not approve executive compensation. For example, in 2013, share holders of Barrick Gold Corp....
-
If the MPC is 0.8 and government purchases decreases by $4,301, holding all else constant, real GDP will change by _____ according to the multiplier effect (assuming no crowding out).
-
Is it ethical for retailers to use video cameras in their stores to study the behavior of their customers? Explain.
-
A Perfect Relationship, yet Zero Correlation. Consider the quadratic relationship \(y=x^{2}\), with data a. Produce a rough graph for this dataset. b. Check that the correlation coefficient is...
-
Most marketing industry codes of ethics are for self-regulation. What are the penalties that can be imposed in case these codes are breached?
-
Explain how market researchers can ensure that their research is in the interest of society.
-
Consider the composite tube shown in Figure P13.2. Which segment of the tube should have the highest heat transfer coefficient, \(h\) ? The highest friction factor, \(C f\) ? Why? FIGURE P13.2 d d2>...
-
To address social determinants of health in a community, it is important to build successful alliances and partnerships. Through these partnerships, social determinant initiatives can help create a...
-
Controls can be identified based on their function. The functions are preventive, detective, and corrective. A. True B. False
-
Consider the following linear program: Min 2A + 2B s.t. 1A + 3B 12 3A + 1B 13 1A - 1B = 3 A, B 0 a. Show the feasible region. b. What are the extreme points of the feasible region? c. Find the...
-
Jackson Hole Manufacturing is a small manufacturer of plastic products used in the automotive and computer industries. One of its major contracts is with a large computer company and involves the...
-
In the Willow Brook National Bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per...
-
Explain, in a way that is understandable to a non-accountant, the following terms: a. asset b. liability c. income d. revenue e. expense f. equity.
-
Why is it necessary to define an expense in terms of changes in an asset (or vice versa) rather than defining the terms independently?
-
The historical cost convention looks backwards but the going concern convention looks forwards. a. Does traditional financial accounting, using the historical cost convention, make the going concern...
Study smarter with the SolutionInn App