Dynamics of Fluids and Structures

Semester 2, 2020

Staff

- Michael MacDonald
- Rajnish Sharma
- Vladislav Sorokin (director, coordinator)

Extra teaching assistants

Laboratory staff: Sarath Pathirana

Teaching schedule

LECTURES

Tuesday, Wednesday, Thursday, 9 - 10 AM, in 405-460

TUTORIALS

Thursday 1-2 PM (405-236/405-240, 405-222, 405-336); OR Friday 9-10 AM (405-236/405-240, 405-222, 405-336);

Note: Room allocations may change from those given.

Calendar notes

3D rigid body dynamics - inertia tensor, Euler's equations, gyroscopic motion. Vibration of single and two degree of freedom systems. Applications to vibration engineering. Introductory acoustics and spectral analysis. Mass, linear momentum, angular momentum and energy equations. Application to internal and external flows, boundary layers, pumps, turbines and lifting bodies. Experimental and numerical methods, dimensional analysis, similarity, and flow measurement.

Prerequisite: MECHENG 211, 222

## Intended learning outcomes |
## Related graduate attributes |
## Related assessments |
---|---|---|

Pumps, turbines: Classify pumps and turbines. Apply dimensional analysis methods to the analysis of pump performance and scaling. Apply conservation laws to determine pumping requirements to help in the selection of pumps. Predict pump performance and match pumps to piping systems. |
ENGA01: engineering knowledge (4) ENGA02: problem analysis (3) ENGA03: design and solution development (3) ENGK01: theory of natural sciences (4) ENGK02: mathematical modelling (4) ENGK03: abstraction and formulation (4) ENGK04: specialist knowledge (1) ENGK05: engineering design (3) ENGK06: engineering practice (1) ENGP01: depth of knowledge required (4) UOA_1: Disciplinary Knowledge and Practice (3) |
Exam Lab A |

External flows, lifting bodies: Predict flow characteristics around bodies immersed in a flow field, and flow patterns / streamlines. Define and explain boundary layer separation. Analyse fluid dynamic / aerodynamic forces acting on bodies. |
ENGA01: engineering knowledge (4) ENGA02: problem analysis (3) ENGA04: investigation (1) ENGK01: theory of natural sciences (4) ENGK02: mathematical modelling (4) ENGK03: abstraction and formulation (4) ENGK05: engineering design (3) ENGP01: depth of knowledge required (4) ENGP03: depth of analysis required (3) ENGP05: extent of applicable codes (3) UOA_1: Disciplinary Knowledge and Practice (3) UOA_3: Solution Seeking (3) |
Project A Exam |

Angular momentum equation: Describe and analyse rotational fluid motion. |
ENGA01: engineering knowledge (4) ENGA03: design and solution development (3) ENGA04: investigation (1) ENGK01: theory of natural sciences (4) ENGK02: mathematical modelling (4) ENGK03: abstraction and formulation (4) ENGP01: depth of knowledge required (4) ENGP05: extent of applicable codes (3) UOA_2: Critical Thinking (2) UOA_3: Solution Seeking (3) UOA_5: Independence and Integrity (1) |
Exam |

Dimensional analysis and similarity, mass, energy and momentum equations: Describe variables that govern fluid flow problems. Analyse fluid flow problems using mass, energy and momentum equations. Perform dimensional analysis and describe important non dimensional numbers. Apply the principles of similarity to develop scaling laws and design model scale experiments. |
ENGA01: engineering knowledge (4) ENGA02: problem analysis (3) ENGA03: design and solution development (3) ENGA04: investigation (1) ENGA05: modern tool usage (1) ENGK01: theory of natural sciences (4) ENGK02: mathematical modelling (4) ENGK03: abstraction and formulation (4) ENGK05: engineering design (3) ENGP01: depth of knowledge required (4) ENGP02: range of conflicting requirements (1) ENGP03: depth of analysis required (3) ENGP05: extent of applicable codes (3) UOA_2: Critical Thinking (2) UOA_3: Solution Seeking (3) UOA_5: Independence and Integrity (1) |
Project A Exam Lab A |

Turbulence, logarithmic overlap law, pipe losses and networks, Bernoulli obstruction theory: Analyse pipe flow problems, piping networks. Estimate losses in pipes and ducts using empirical correlations. Sketch and explain laminar and turbulent boundary layer profiles. |
ENGA01: engineering knowledge (4) ENGA02: problem analysis (3) ENGK01: theory of natural sciences (4) ENGK02: mathematical modelling (4) ENGK03: abstraction and formulation (4) ENGK04: specialist knowledge (1) ENGK05: engineering design (3) ENGK06: engineering practice (1) ENGP01: depth of knowledge required (4) ENGP02: range of conflicting requirements (1) ENGP03: depth of analysis required (3) ENGP05: extent of applicable codes (3) UOA_1: Disciplinary Knowledge and Practice (3) UOA_2: Critical Thinking (2) UOA_3: Solution Seeking (3) |
Project A Exam Lab A |

Dynamics, vibration and machinery: Predict and describe forces associated with static imbalance and dynamic imbalance. Predict balance mass placements required to correct the imbalances. Evaluate the force transmission and displacement transmission through a vibration isolation system. Predict the steady state whirl amplitude of a statically imbalanced rotor mounted on a flexible shaft. |
ENGA01: engineering knowledge (4) ENGA02: problem analysis (3) ENGA03: design and solution development (3) ENGA05: modern tool usage (1) ENGK01: theory of natural sciences (4) ENGK02: mathematical modelling (4) ENGK03: abstraction and formulation (4) ENGK04: specialist knowledge (1) ENGK05: engineering design (3) ENGK06: engineering practice (1) ENGP01: depth of knowledge required (4) ENGP02: range of conflicting requirements (1) ENGP03: depth of analysis required (3) ENGP05: extent of applicable codes (3) UOA_1: Disciplinary Knowledge and Practice (3) UOA_2: Critical Thinking (2) UOA_3: Solution Seeking (3) |
Project B Exam |

Vibration of single and multiple degrees of freedom systems: Formulate and solve equations of motions of SDOF systems using the energy method. Identify the effective mass, effective stiffness and natural frequency of SDOF systems. Calculate the forced response of such a system using complex exponential notation. Formulate and solve equations of motion of MDOF systems. Evaluate the natural frequencies and mode shapes of a vibrating MDOF system. Predict the forced response of a MDOF system. |
ENGA01: engineering knowledge (4) ENGA02: problem analysis (3) ENGA03: design and solution development (3) ENGA05: modern tool usage (1) ENGK01: theory of natural sciences (4) ENGK02: mathematical modelling (4) ENGK03: abstraction and formulation (4) ENGK04: specialist knowledge (1) ENGK05: engineering design (3) ENGK06: engineering practice (1) ENGP01: depth of knowledge required (4) ENGP02: range of conflicting requirements (1) ENGP03: depth of analysis required (3) ENGP05: extent of applicable codes (3) UOA_1: Disciplinary Knowledge and Practice (3) UOA_2: Critical Thinking (2) UOA_3: Solution Seeking (3) |
Project B Exam Lab B |

Rigid body dynamics in 3D: Calculate the angular momentum of a rotating 3D rigid body using the inertia tensor. Predict the moments associated with the rotation of a 3D rigid body using Euler's equations. Apply the steady state precession equation to quantify simple gyroscopic behaviour. |
ENGA01: engineering knowledge (4) ENGA02: problem analysis (3) ENGA04: investigation (1) ENGK01: theory of natural sciences (4) ENGK02: mathematical modelling (4) ENGK03: abstraction and formulation (4) ENGP01: depth of knowledge required (4) ENGP03: depth of analysis required (3) UOA_1: Disciplinary Knowledge and Practice (3) UOA_3: Solution Seeking (3) |
Exam |

Coursework

Coursework (50%):

Project A (20%) Week 8, Monday 5pm

Project B (20%) Week 11, Friday 5 pm

Lab A (5%) Weeks 3-4, 405-122, 405-136, check your individual allocated time on SSO

Lab B (5%) Weeks 9-10, 405-236, 405-240 check your individual allocated time on SSO

Exam rules

Exam (50%) 3 hours, closed book, restricted calculators

Inclusive learning

Students are urged to discuss privately any impairment-related requirements face-to-face and/or in written form with the course convenor/lecturer and/or tutor.

Other assessment rules

No description given

Academic integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting his or her learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the world-wide web. A student's assessed work may be reviewed against electronic source material using computerised detection mechanisms. Upon reasonable request, students may be required to provide an electronic version of their work for computerised review.

All students enrolled at the University of Auckland are required to complete a compulsory Academic Integrity course, usually in their first semester/year of enrolment. The University of Auckland’s full guidelines on procedures and penalties for academic dishonesty are available here.

Actions shared/based on previous feedback

The course involves two parts, fluid dynamics and structural dynamics, each for 6 weeks. Content in both parts is quite diverse and includes many aspects of dynamics relevant for mechanical and mechatronics engineering students. This year (2020) some amendments to the fluid part of the course are introduced as compared to the previous iteration of the course. This part of the course now includes differential approach to solve fluid dynamics problems. Also numerical analysis tools are introduced, including CFD analysis. More examples for external fluid flow are included.

Assessments of the course are changed and new Projects A and B are introduced instead of tests A and B.

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