This is an introductory course to statistical modelling focusing in part on simulation based inference and Bayesian methods. A prerequisite for this course is basic knowledge of probability and a year of calculus. Helpful but not necessary for successful study would be if students have already taken an introductory course in statisitcs or regression analysis. As a programming tool we shall use and learn statistical package R.
Topics will include: Review of basic probability concepts (events, sample spaces, concept of random variable, distributions, expectation and variance, central limit theorem); Likelihood based inference; Priors, posteriors, predictive models. Bayesian inference in simple hierarchical models; Basic sampling techniques; Markov Chain Monte Carlo and Gibbs sampling; Bayesian hierarchical models for regression analysis.
Renewable Energy
Module
Code
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Module Title
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ECTS
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Taught/Examined in Semester
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Examination Arrangements
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ME223
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Thermodynamics & Fluid Mechanics
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5
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1
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2 hour exam
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Introduction to the fundamental aspects of thermo fluid mechanics in engineering. Basic language, scope and applications; thermo fluid systems, system boundaries; control volume concept; concepts of mass, momentum, heat, work, energy and entropy in thermo fluid systems, control volumes & cycles; conservation laws; physical & thermodynamic properties, behaviours and models of substances; fluid forces, statics and dynamics; relating velocity & pressure; problem-solving techniques, applications.
This module introduces all engineering students to the essential fundamental aspects of thermo fluids engineering. The module covers: physical and thermodynamic properties and models for fluids and solids; identification of systems and system boundaries; mass, momentum, energy and entropy storage and transfers; application of the laws of conservation of mass, momentum, energy and entropy to thermo fluid systems and cycles; fluid statics and dynamics; problem-solving techniques.
Module
Code
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Module Title
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ECTS
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Taught/Examined in Semester
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Examination Arrangements
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ME301
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Fluid Dynamics
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5
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1
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2 hour exam
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Governing differential equations of flow – continuity, momentum and energy; Navier-Stokes equation. Simplified concepts, stream function and potential flows. Dimensional analysis and similarity; dimensionless groups; modelling and experimental fluid mechanics. Laminar, transitional and turbulent flows; Reynolds number regimes in internal and external flows; the time-averaged equations. The speed of sound, acoustics and compressible flow regimes. Internal compressible flows; steady adiabatic and isentropic flows; effects of area changes; normal-shock waves; converging and diverging nozzle flows. Viscous flow in ducts; frictional pressure losses; component losses; diffusers; flow metering. Viscous external flows; boundary layers; external forces on immersed bodies – drag, lift. Idealised plane-flows; elemental solutions, superposition, images. Unsteady flows; vortex shedding, aero acoustics and forcing; added mass.
Module
Code
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Module Title
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ECTS
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Taught/Examined in Semester
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Examination Arrangements
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ME352
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Mechanical Vibrations
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5
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1
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CA, 2 x 2 hour exams
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