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Fluid Mechanics is the study of systems which allow for a macroscopic description in some continuum limit. It is not limited to the study of liquids such as water but includes our atmosphere and even car traffic. Whether a system can be treated as a fluid, depends on the spatial scales involved. Fluid mechanics presents a cornerstone of applied mathematics and comprises a whole gamut of different mathematical techniques, depending on the question we ask of the system under consideration. The course will discuss applications from engineering, physics and mathematics. ò How and in what situations a system which is not necessarily liquid can be described as a fluid ò The link between an Eulerian description of a fluid and a Lagrangian description of a fluid ò The basic variables used to describe flows; the need for continuity, momentum and energy equations; simple forms of these equations; geometric and physical simplifying assumptions; streamlines and stream functions; incompressibility and irrotationality; simple examples of irrotational flows. By the end of this unit, students will have received a basic understanding into fluid mechanics and have acquired general methodology which they can apply in their further studies in mathematics and/or in their chosen discipline.

Classes

Three 1 hour lectures and one 1 hour tutorial per week.

Assessment

Assignment 1 (10%), Assignment 2 (10%), Assignment 3 (10%), Exam (70%)

Assumed knowledge

(MATH2961 and MATH2965) or (MATH2921 and MATH2922)

(A mark of 65 or greater in 12cp of MATH2XXX units of study) or [12cp from (MATH3061 orMATH3066 or MATH3063 or MATH3076 or MATH3078 or MATH3961 or MATH3962 or MATH3963 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)]

ProhibitionsMATH3974

Faculty: Science

Semester 1

25 Feb 2019

Department/School: Mathematics and Statistics Academic Operations

Study Mode: Normal (lecture/lab/tutorial) day

Census Date: 31 Mar 2019

Unit of study level: Honours

Credit points: 6.0

EFTSL: 0.125

Available for study abroad and exchange: No

Faculty/department permission required? No

Location

Camperdown

More details

Unit of Study coordinator: Prof Georg Gottwald

HECS Band: 2

Leadership for good starts here

ABN: 15 211 513 464

CRICOS Number: 00026A

TEQSA: PRV12057