Momentum Transfer in Fluids

ABOUT THE COURSE: The objective of this course is to introduce the students to the fundamental concepts of momentum transfer operation as it applies to fluids. The course will start at the basics and move towards applications normally encountered in Chemical Engineering applications. The course will be built around the concepts of flow physics including hydrostatic forces, conservation of mass and momentum using differential and integral approaches, concept of boundary layers, skin friction as well as measuring devices. More importantly, the course will treat the fluid flow process as a unit operation similar to heat, mass, and charge transfer operation, which is easily understandable by the participants from different backgrounds. The inviscid flow and the use of complex potential and streamlines will be demonstrated, drawing analogy with electrical field lines, so that the participants can relate the concepts with other physical processes. Turbulence and turbulent flows will be introduced.INTENDED AUDIENCE: 2nd year UG students of Chemical Engineering / Petroleum Engineering / Environmental Engineering / Biomedical Engineering / Energy Engineering / Pharmacy / Biotechnology / Materials Engineering / Nuclear Engineering / Mechanical Engineering / Civil Engineering / Aeronautical Engineering Practicing professional dealing with above disciplinesPREREQUISITES: Physics and Mathematics at UG 1st year levelINDUSTRY SUPPORT: Core companies engaged in processes associated with the disciplines referred above for routine production and maintenanceDesign / Consultancy / R&D establishments

Week 1: Continuum hypothesis, Eulerian and Lagrangian descriptions, Differential analysis: mass balance, Forces on fluids, Normal and shear stresses,Week 2:Fluid statics - pressure distribution, Forces on submerged bodies (planar and curved), Buoyancy, Rigid body motionWeek 3:Kinematic decomposition of flow motion, Vorticity and Circulation, Euler's equationWeek 4:Stream function, Potential flow, Complex Velocity Potential, Elemental flows, Superposition of elemental flows, Stagnation point and Body StreamlineWeek 5:Extension of continuity and stream function to follow in porous media, Reynold’s Analogy.Week 6:System and control volume approaches, Reynolds transport theoremWeek 7:Differential analysis: momentum balance; Navier-Stokes equationWeek 8:Unidirectional flow, Viscous flow, Stokes law, Skin drag and pressure dragWeek 9:Application of Bernoulli equation, Head loss in pipe flow, Moody diagram, pumps, Flow through converging and diverging nozzles, Flow measurementWeek 10:Boundary layer theory, Blasius solution, Drag and lift forcesWeek 11:Similitude analysis, Compressible flows, Blowers and compressorsWeek 12:Transportation of fluids, pumps, selection and operation issues; Turbulence