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 Academic Year: | 2017/8 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 6 [equivalent to 12 CATS credits] |
| Notional Study Hours: | 120 |
| Level: | Honours (FHEQ level 6) |
| Period: |
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| Assessment Summary: | EX 100% |
| Assessment Detail: |
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| Supplementary Assessment: |
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| 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, strain-rate 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 two-dimensional 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. |
| Programme availability: |
MA30253 is Optional on the following programmes:Department of Mathematical Sciences
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Notes:
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