Department of Physics, Unit Catalogue 2011/12 

Credits:  3 
Level:  Honours (FHEQ level 6) 
Period: 
Semester 2 
Assessment:  EX 100% 
Supplementary Assessment:  Mandatory extra work (where allowed by programme regulations) 
Requisites:  Before taking this unit you must take PH20019 
Description:  Aims: The aim of this unit is to introduce students to the fundamental concepts and equations of fluid dynamics. Learning Outcomes: After taking this unit the student should be able to: * analyse a twodimensional flow in terms of displacement, local rotation and local shearing; * derive the continuity and Euler equations; * perform a dimensional analysis of the NavierStokes equation and interpret the Reynolds number; * explain and interpret mathematically the terms: steady and nonsteady flow, incompressible flow, irrotational flow, potential flow, laminar flow; * derive and use Bernoulli's equation; * solve simple potential flow and laminar viscous flow problems. Skills: Numeracy T/F A, Problem Solving T/F A. Content: Introduction to fluid dynamics: Definitions; steady and nonsteady flows, streamlines and pathlines. Equations of motion for a fluid: Continuity equation, incompressible flows. Local nature of fluid motion; displacement, rotation and shear. Forces on a fluid; pressure gradient, gravity, viscosity. Acceleration of a fluid packet, rate of change of the velocity pattern. NavierStokes equations. Boundary conditions. Dedimensionalisation of the NavierStokes equations; Reynolds Number. Nonviscous flow: Bernoulli's equation. Circulation theorem. Irrotational flow. Properties of potential flows. Examples including vortex flow, flow past a cylinder, waves on deep water. Viscous flow: Laminar flow; flows in pipes and channels. Boundary layer flow. Separation and the transition to turbulence. Drag on a moving object. 
Programme availability: 
PH30087 is Optional on the following programmes:Department of Mathematical Sciences
