
Academic Year:  2018/9  
Owning Department/School:  Department of Mathematical Sciences  
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 MA20223
In taking this module you cannot take MA40065  
Description:  Aims: To describe the general theory of continuum mechanics, introduce inviscid fluid mechanics and waves. Learning Outcomes: Students should be able to explain the basic concepts of continuum mechanics such as stress, deformation and constitutive relations, be able to formulate balance laws. Skills: Numeracy T/F, A Problem Solving T/F, A Written Communication F (on problem sheets). Content: Cartesian Tensors: Orthogonal transformations, rotation of axes, transformations of components, symmetry and skew symmetry. Isotropic tensors. Kinematics: Transformation of line elements, deformation gradient, Green strain. Linear strain measure. Displacement, velocity, velocity gradient, strainrate and spin tensor. Stress: Cauchy stress; relation between traction vector and stress tensor. Global Balance Laws: Equations of motion, simple constitutive laws. Inviscid Fluids: Particle paths and streamlines, Reynold's transport theorem, Euler's equations of motion, Bernoulli's equation. Vorticity, circulation and Kelvin's Theorem. Irrotational incompressible flow; velocity potential, stream function in twodimensional flow. Further topics to be chosen from the following. Complex potential: line sources and vortices. Method of images, Circle theorem, Blasius's Theorem. Conformal mappings, flow past a wing. Water waves, including effects of finite depth and surface tension. Dispersion, simple introduction to group velocity.  Before taking this module you must take MA20223
In taking this module you cannot take MA40065 
Programme availability: 
MA30253 is Compulsory on the following programmes:Department of Physics
MA30253 is Optional on the following programmes:Department of Mathematical Sciences

Notes:
