
Academic Year:  2018/9  
Owning Department/School:  Department of Physics  
Credits:  6 [equivalent to 12 CATS credits]  
Notional Study Hours:  120  
Level:  Honours (FHEQ level 6)  
Period: 
 
Assessment Summary:  EX 100%  
Assessment Detail: 
 
Supplementary Assessment: 
 
Requisites:  Before taking this module you must ( take PH20019 OR take PH20107 ) AND ( take PH10103 OR take PH20076 OR take PH20106 OR take PH20114 )  
Description:  Aims: The aim of this unit is to introduce students to the fundamental concepts and equations of fluid dynamics in a physical and astrophysical setting. 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; * interpret and apply the special relativistic equations of hydrodynamics for perfect fluids; * 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, as well as selected common applications in astrophysics; * derive and apply the wave equations for sound waves from the equations of hydrodynamics; * derive and apply the shockjump conditions, relativistic and nonrelativistic; * derive the basic equations of ideal magnetohydrodynamics by merging the equations of hydrodynamics with Maxwell's equations. Skills: Numeracy T/F A, Problem Solving T/F A. Content: Introduction to fluid dynamics: Definitions; steady and nonsteady flows; streamlines and pathlines; equation of state. 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; Reynolds Number Nonviscous flow: Bernoulli's equation; Circulation theorem; irrotational flow. 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. Advanced topics: Equations of ideal magnetohydrodynamics; fluid dynamics in special relativity; shock waves and sound waves. Astrophysics applications: Stars in hydrostatic equilibrium and the virial theorem; stellar winds; (relativistic) astrophysical explosions and shock waves; spherical accretion flow.  Before taking this module you must ( take PH20019 OR take PH20107 ) AND ( take PH10103 OR take PH20076 OR take PH20106 OR take PH20114 ) 
Programme availability: 
PH30108 is Compulsory on the following programmes:Department of Physics
PH30108 is Optional on the following programmes:Department of Physics

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