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 or MATH3961 or MATH3962 or MATH3963 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3978 or MATH3979)]Prohibitions