Advanced Fluid Mechanics with Engineering Applications

Advanced Fluid Mechanics with Engineering Applications
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Learn the fundamental principles underlying fluid dynamics; including the kinematics of deformation, hydrostatics & buoyancy, inviscid flow, the application of Bernoullis theorems, as well as applications of control volume analysis for more complex problems of engineering interest and in the end understand Autodesk CFD computational fluid dynamics simulation software that engineers and analysts use to intelligently predict how liquids and gases will perform. The subject of Fluid Mechanics has a wide scope and is of prime importance in several fields of engineering and science. The present course emphasizes the fundamental underlying fluid mechanical principles and the application of those principles to solve real-life problems. Special attention is given to deriving all the governing equations starting from the fundamental principle. There is a well-balanced coverage of physical concepts, mathematical operations along with examples and exercise problems of practical importance. After completion of the course, the students will have a strong fundamental understanding of the Principles of Fluid Mechanics and will be able to apply the Principles to analyze fluid mechanical systems. This course is of relevance to engineers and scientists across a wide range of mechanical chemical and process industries who must understand, analyze and optimize flow processes and fluids handling problems. Applications are drawn from hydraulics, aero & hydrodynamics as well as the chemical process industries. COURSEOUTLINELecture-1 Introduction to FluidThe subject of Fluid MechanicsLaws in the scientific studyEngineering approach of problem-solvingFluid definitionNewtons law of viscosityNewtonian and Non-Newtonian fluidProblems based on Newtons law of ViscosityLecture-2 Continuity EquationPrinciple of conservation of massDifferential and Integral approachEulerian and Lagrangian approachInventory EquationDerivation of Continuity equation-Differential approachConservation and Non-Conservation forms of ContinuityMaterial derivativeScalar and Vector fieldAcceleration fieldLecture-3 Momentum EquationNewtons Second law of motionBody forceSurface forceMomentum Equation in differential formStokes postulateNavier-Stokes EquationLecture-4 Application of Navier Stokes equationN-S equation as governing equation of fluid flowApplication of N-S equation for a steady and laminar fluid flow between two fixed infinitely long plates. Velocity profileVolume flow rate calculation from the velocity profileLocal velocity, average velocity, maximum velocityCalculating Reynolds Number from the Velocity profileLecture-5 Application of Navier Stokes equation - Couette flowThe physical meaning of N-S equationFully developed flowApplication of N-S equation for a steady and laminar fluid flow between one fixed and one moving plate-Couette FlowApplications of Couette flowLecture-6 Reynolds Transport Theorem DerivationControl Mass (A System) and Control VolumeLagrangian and Eulerian ApproachExtensive and Intensive propertyDerivation of Reynolds Transport Theorem (RTT)Interpretation of net flux term of RTTLecture-7 Reynolds Transport Theorem - Continuity EquationReynolds Transport Theorem (RTT)Deriving Continuity Equation using RTTMass flow rate, volume flow rate, and Average speedDifferential and Integral form of Continuity EquationLecture-8 RTT-Continuity Equation NumericalsContinuity Equation in Integral formSolving numerical problems using Continuity EquationLecture-9 RTT- Linear Momentum EquationReynolds Transport Theorem (RTT)Deriving Momentum Equation using RTTResultant Forces acting on a CVMomentum accumulation in a CVMomentum flow through a CVLecture-10 RTT- Angular Momentum EquationReynolds Transport Theorem (RTT)Deriving Angular Momentum Equation using RTTProblem-based on Linear and Angular MomentumRTT for Moving and Deforming CVLecture-11 Kinematics of Flow-Flow typesFluid Flow Visualization- ClassicsStreamlinePath-lineStreak-lineTime-lineSoftware for flow visualization (2dflowvis)Lecture-12 Kinematics of Flow- Irrotational FlowThe motion of fluid ElementTransformation of a fluid elementAngular velocity vectorVorticity VectorIrrotational flow fieldLecture-13 Kinematics of Flow- Stream functionVisualizing velocity field-Java AppletVisualizing velocity field- MapleStream functionChange in the value of stream functionProblem on the stream functionStream function in polar coordinatesLecture-14 Kinematics of Flow- CirculationCirculationRelationship between Circulation and VorticityStokes theoremProblem on CirculationThe physical meaning of Divergence of a vectorCirculation and Divergence in Java AppletLecture-15 Potential Flow- Velocity potential functionVelocity Potential function, Potential flowRelationship between and Flow netVelocity potential function in cylindrical coordinatesVelocity Potential function in Java AppletLecture-16 Potential Flow- Basic potential flowsUniform flowSource and Sink flowVortex flowStream function and Velocity potential function for basic flowsLecture-17 Potential Flow- Superposition of potenti