Applications of continuum mechanics to problems in biomechanics, fluid mechanics and solid mechanics. Including topics such as large deformation elasticity theory applied to soft tissues, inviscid flow theory, compressible flows, viscous flows, meteorology, oceanography, coastal ocean modelling, mixing in rivers and estuaries. Fracture, composite materials and geomechanics.
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By the end of this course, students will be able to: Demonstrate an understanding and an ability to apply in the solution of practical problems: Flow through porous media, knowledge of engineering applications, e.g. geotechnical engineering, tectonics, biomechanics, reservoir engineering, infiltration of modern synthetic materials; the fundamental physics and concepts of porous media flow, basic principles and field equations, in the context of single phase and multiphase mixture theory; flow equations for incompressible (liquid) and compressible (gas) flows, and relevant finite deformation structural models for the solid skeleton; Analytical and computational modelling; practical mathematical models of an advanced composite material manufacturing process. (Capability 1, 2 and 3) Demonstrate an understanding and an ability to apply in the solution of practical problems: unstable flows, complex fluid systems, the oceans or atmosphere, long term prediction; smooth laminar flows turning into chaotic turbulent flows, applications in aeronautics and building design; linear stability analysis, sudden and dramatic change to a new state; thermal convection, with applications to heat transport in natural systems; instabilities associated with two strata fluid flow, applications to cloud formations, oceans and estuaries; areas where hydrodynamic stability is important, extension of linear theory. (Capability 1, 2 and 3)