Fluid Mechanics (Chemical) 4 (CHEE10004)
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This course builds on previous treatment of fluid mechanics in SCEE08003 Fluid Mechanics 2 and CHEE09013 Heat, Mass and Momentum Transfer 3. It presents fundamental concepts in fluid mechanics as a basis for chemical engineering design. Simplifications which allow analytical solutions to the 3D Navier Stokes and continuity equations are explored, including low Reynolds number flows and inviscid, irrotational flow. The use of inviscid flow coupled with boundary layer theory to model high Re flows is presented, together with current ideas on the nature of turbulence, including turbulence spectra and decay of turbulence. Turbulence models are used to predict dispersion in mixed flows and free jets. Models for predicting pressure drops in two-phase, liquid-gas flows are discussed.
LecturesLect 1: Basics of fluid mechanics, continuum mechanics, reference frames, coordinate systems Lect 2 & 3: Governing equations of flow: Continuity and Navier-Stokes equationLect 4: Analytical solutions of simple flow problemsLect 5: Similarity, scaling and dynamic similarity in flowsLect 6: Fundamental properties of flows: Vorticity and circulation Lect 7: Fundamental properties of flows: StreamfunctionsLect 8: Fundamental properties of flows: Potential flow (Cauchy-Riemann analysis) Lect 9: Fundamental properties of flows: Drag and liftLect 10: Boundary layer theory: Prandtl's boundary layer equationsLect 11: Boundary layer theory: von Kármán momentum integral momentum balanceLect 12: Turbulent flows: Basics, boundary layer transition and Reynold's averaged Navier-Stokes equations (RANS)Lect 13: Turbulent flows: Turbulent channel flow example, closure laws, regions of boundary layer and laws of the wallLect 14: Turbulent flows: Energy of turbulence and its decayLect 15: Turbulent flows: The energy cascade, Kolmogorov's hypotheses and the lengthscale and energy spectraLect 16: Turbulent flows applications: Free turbulent jets - self-studyLect 17: Turbulent flows applications: Mixing in stirred tanks - self-studyLect 18: Two-phase flows: Gas-liquid flow regimes in horizontal and vertical pipes Lect 19: Two-phase flows: Homogeneous and Separated flow models for two-phase flowsLect 20: Two-phase flows: Lockhart-Martinelli method for determining two-phase pressure dropTutorialsTutorial 1: Introduction and crucial basics (based on Fluids 2 and HMMT 3)Tutorial 2a: Governing equations of flow: Analytical solutionsTutorial 2b: Governing equations of flow: Dynamic similitude, strain rate tensor and vorticityTutorial 2c: Governing equations of flow: Streamfunctions, velocity potentials, drag and liftTutorial 3: Boundary layer theoryTutorial 4a: Turbulent flows: Reynolds averaging, closure relations and laws of the wallTutorial 4b: Turbulent flows: Grid turbulence and decay to Kolmogorov length scalesTutorial 4c: Turbulent flows: Laws of the wall and free turbulent jetsTutorial 5: Mixing in stirred tanks and two-phase flows
Written Exam 100%, Coursework 0%, Practical Exam 0%
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