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.
Three 1 hour lectures and one 1 hour tutorial per week.
Assignment 1 (10%), Assignment 2 (10%), Assignment 3 (10%), Exam (70%)
(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)]Prohibitions