MP4583 Advanced Engineering Systems Assignment – School Of Engineering – University Of Central Lancashire, UK
Learning outcomes –
LO1 – To develop and enhance research, investigative, evaluative and problemsolving abilities.
LO2 – To develop a rigorous approach to the inclusion of modelling limitations in the analysis and synthesis of systems.
LO3 – To investigate factors influencing the design and performance of a suitably complex engineering system.
LO4 – To integrate the fundamental principles associated with engineering systems.
Indicative Exercise – You are to submit a report, such that it addresses all the questions.
Exercise I – What is a shockwave? Using suitable sketches, describe the following:
i. A normal shockwave
ii. An oblique shockwave
iii. An attached shockwave
iv. A detached shockwave
Exercise II – Using the relevant isentropic assumptions, show that speed of sound is:
c = √(γRT) = √(γP/ρ)
Exercise III – Derive the respective expressions for the ratios of static to stagnation state properties of an isentropic flow over the immersed solid object in Fig. 1, as function of the approaching flow Mach number, M1.
Exercise IV – Gas is delivered from the gas chest via a duct in Fig. 2. A section downstream the duct, the flow is known to experience a normal shockwave.
Without any derivations and using the regular notations in Fig. 2, list the relevant equations (Table 1) for the state ratios, ψn/ψ0n, as a function of Mn.
Table 1: Flow equations in a duct with shockwave
State ratio2 
ψ1/ψ01 
ψ1/ψ2 
ψ2/ψ02 
ψ01/ψ02 
Class of flow3 




As a function of: 
M1 
M1 
M2 
M1 or M2 
Pressure 




Temperature 




Density 




Mach 

M2 = M2(M1) = ? 


Exercise V – Describe a pitottube and discuss its applications.
Exercise Vi – Briefly compare the use of pitottube in the following applications, referring to the appropriate equations and sketching the flow zones:
i. Subsonic flows
ii. Supersonic flow
Exercise VII – Figure 3 shows schematics of a pitot tubes in different flows. By the Bernoulli equation of an incompressible flow, the speed of the flow is obtained using ub = √(2(P0P1)/ ρ). What is the percentage error in using the Bernoulli’s equation in the following conditions?
Seminar – Prepare a 10 minutes slides seminar on any one of the following topics:
1. Turbulence modelling in Supersonic flows
2. Pneumatic Control systems
3. Compressible flows in Nature
4. Aerothermodynamics in Space vehicle in atmospheric reentry
5. Prandtl Meyer Flow
6. The supersonic jet age: The race and the science
7. Fluid Logic Control Systems
8. Hypersonic machines
9. Microfluidics
10. Shockwaves
Your audience is typical of those you will find in a TEDTalk. As an indicative guide (in no order), your slides must give an appropriate introduction to the topic, areas of applications, some theoretical and numerical considerations or methods, classical and contemporary issues, the future, some academic results/data presentation, conclusions or commentaries.
You must cite and list a minimum of 10 good quality references (using the IEEE format). These are journals, conference papers and textbooks. Websites/forums do not count as high quality references but may be used when citing pictures.
This report has an indicative 1,500 word count. Use IEEE citation standard.
MP4583 Advanced Engineering Systems Assignment – School Of Engineering – University Of Central Lancashire, UK
Learning outcomes –
LO1 – To develop and enhance research, investigative, evaluative and problemsolving abilities.
LO2 – To develop a rigorous approach to the inclusion of modelling limitations in the analysis and synthesis of systems.
LO3 – To investigate factors influencing the design and performance of a suitably complex engineering system.
LO4 – To integrate the fundamental principles associated with engineering systems.
Indicative Exercise – You are to submit a report, such that it addresses all the questions.
Exercise I – What is a shockwave? Using suitable sketches, describe the following:
i. A normal shockwave
ii. An oblique shockwave
iii. An attached shockwave
iv. A detached shockwave
Exercise II – Using the relevant isentropic assumptions, show that speed of sound is:
c = √(γRT) = √(γP/ρ)
Exercise III – Derive the respective expressions for the ratios of static to stagnation state properties of an isentropic flow over the immersed solid object in Fig. 1, as function of the approaching flow Mach number, M1.
Exercise IV – Gas is delivered from the gas chest via a duct in Fig. 2. A section downstream the duct, the flow is known to experience a normal shockwave.
Without any derivations and using the regular notations in Fig. 2, list the relevant equations (Table 1) for the state ratios, ψn/ψ0n, as a function of Mn.
Table 1: Flow equations in a duct with shockwave
State ratio2 
ψ1/ψ01 
ψ1/ψ2 
ψ2/ψ02 
ψ01/ψ02 
Class of flow3 




As a function of: 
M1 
M1 
M2 
M1 or M2 
Pressure 




Temperature 




Density 




Mach 

M2 = M2(M1) = ? 


Exercise V – Describe a pitottube and discuss its applications.
Exercise Vi – Briefly compare the use of pitottube in the following applications, referring to the appropriate equations and sketching the flow zones:
i. Subsonic flows
ii. Supersonic flow
Exercise VII – Figure 3 shows schematics of a pitot tubes in different flows. By the Bernoulli equation of an incompressible flow, the speed of the flow is obtained using ub = √(2(P0P1)/ ρ). What is the percentage error in using the Bernoulli’s equation in the following conditions?
Seminar – Prepare a 10 minutes slides seminar on any one of the following topics:
1. Turbulence modelling in Supersonic flows
2. Pneumatic Control systems
3. Compressible flows in Nature
4. Aerothermodynamics in Space vehicle in atmospheric reentry
5. Prandtl Meyer Flow
6. The supersonic jet age: The race and the science
7. Fluid Logic Control Systems
8. Hypersonic machines
9. Microfluidics
10. Shockwaves
Your audience is typical of those you will find in a TEDTalk. As an indicative guide (in no order), your slides must give an appropriate introduction to the topic, areas of applications, some theoretical and numerical considerations or methods, classical and contemporary issues, the future, some academic results/data presentation, conclusions or commentaries.
You must cite and list a minimum of 10 good quality references (using the IEEE format). These are journals, conference papers and textbooks. Websites/forums do not count as high quality references but may be used when citing pictures.
This report has an indicative 1,500 word count. Use IEEE citation standard.
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