Mathematical Methods and Fluid Mechanics: Block 2

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Block 2 again contains a further 4 units and starts by investigating the motion of a fluid that is assumed to be incompressible (its volume cannot be reduced) and inviscid (there is no internal friction).Unit 5 Kinematics of fluids introduces the equations of streamlines and pathlines, develops the concept of a stream function as a method of describing fluid flows, and formulates Euler's equation of motion for an inviscid fluid.Unit 6 Bernoulli's equation analyses an important equation arising from integrals of Euler's equation for the flow of an inviscid fluid. It relates pressure, speed and potential energy, and is presented in various forms. Bernoulli's equation is used to investigate phenomena such as flows through pipes and apertures, through channels and over weirs.Unit 7 Vorticity discusses two important mathematical tools for modelling fluid flow, the vorticity vector (describing local angular velocity) and circulation.