Description

Dive deep into the intricate world of Fluid Mechanics and experience the awe-inspiring symphony of fluidic behavior that powers our natural and engineered systems. From the foundational concepts of Newton’s laws applied to fluids to the complex calculations needed for engineering problem-solving, this course offers a comprehensive understanding of fluid motion and its critical role in both natural phenomena and man-made inventions. Grasp the nuances of continuity equations, momentum conservation, and the beauty of Navier-Stokes’ equations, as they govern fluid flow.Embark on a journey through the intricacies of turbomachines, exploring their classifications, working principles, and applications. Delve into the dynamics of boundary layers, from their genesis to their effect on the bodies in flow. Engage in the fascinating realm of external flow, uncovering the principles behind drag, lift, and the magnificent designs of airfoils. Finally, stands at the forefront of technological advancement with an introduction to Computational Fluid Dynamics (CFD), exploring the realm of numerical simulations that push the boundaries of engineering capabilities.This course isn’t just about learning theories but bridging the chasm between theory and real-world application. By the end, you will not only understand the mathematics behind fluid motion but will gain a profound appreciation for its relevance in shaping the world around us. Whether you aspire to design advanced aerostructures, engineer efficient transportation systems, or merely satiate an academic curiosity, this course is a key milestone in your journey of discovery and innovation.Reference books for this course:Fluid Mechanics by Yunus A. Cengel, John M. CimbalaFundamentals of Fluid Mechanics, 6th Edition By MunsonCOURSE OUTLINELecture-1 Introduction to FluidThe subject of Fluid MechanicsLaws in the scientific studyEngineering approach of problem-solvingFluid definitionNewton’s law of viscosityNewtonian and Non-Newtonian fluidProblems based on Newton’s law of ViscosityLecture-2 Continuity EquationPrinciple of conservation of massDifferential and Integral approachEulerian and LaGrange’s approachInventory EquationDerivation of Continuity equation-Differential approachConservation and Non-Conservation Forms of ContinuityMaterial derivativeScalar and Vector fieldAcceleration fieldLecture-3 Momentum EquationNewton’s 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 the 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 the 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-lineTimelineSoftware 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 the stream functionProblem with the stream functionStream function in polar coordinatesLecture-14 Kinematics of Flow- CirculationCirculationRelationship between Circulation and VorticityStoke’s theoremProblem on CirculationThe physical meaning of Divergence of a vectorCirculation and Divergence in Java AppletLecture-15 Potential Flow- Velocity potential functionVelocity Potential function, φPotential flowRelationship between ψ and φFlow 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 potential flows-ISuperposition of basic potential flowsDoubletHalf bodyLecture-18 Potential Flow- Superposition of Potential flow-IIFlow around a cylinderFlow around a cylinder-Velocity and pressure distributionFlow around a cylinder-Drag and LiftRankine bodyProblem with Rankine BodyLecture-19 Potential Flow- Superposition of Potential flow-IIISuperposition of basic potential flowsFlow around a cylinder with circulationMagnus EffectProblem- Flow around a cylinder with circulationLecture-20 Turbo-machine- Fluid MachinesFluid machines classificationPositive Displacement machinesTurbo-machinesComparison of PDPs and Roto-dynamic pumpsTurbo-machine ClassificationsScope of Turbo-machinesLecture-21 Turbo-machine- Euler’s EquationOne-dimensional flow through an impellerVelocity triangleEuler’s equation of turbo-machineLecture-22 Turbo-machine- Blade AnglesVelocity triangleVelocity triangle at inlet-assumptionsEffect of blade angle on the headTypical Characteristic curve of a centrifugal pumpEffect of blade angle on Characteristic curveLecture-23 Turbo-machine- Performance-IProblem-Centrifugal blowerStatic, Friction, and System headPump LossesPump EfficiencyPump Performance Characteristic curvesLecture-24 Turbo-machine- Performance-IIPump System CurvePumps in Series and ParallelPump Affinity lawsPump specific speedLecture-25 Turbo-machine- TurbineTurbineSchematics of hydraulic turbinesVelocity triangles of TurbineImpulse TurbineReaction TurbineDegree of ReactionLecture-26 Turbo-machine- Turbine PerformancePump and Turbine EfficienciesGeneral Energy EquationProblem-TurbineAffinity laws for TurbineTurbine specific speedLecture-27 Boundary layer- ConceptClassification of flowsOne-dimensional and multi-dimensional flowSteady and Unsteady flowUniform and Non-Uniform flowInviscid and Viscous flowAttached and Flow SeparationLaminar and Turbulent flowPrandtl-Boundary layer conceptGrowth of boundary layer thicknessLecture-28 Boundary Layer- Order Analysis over Flat PlateOrder of Magnitude or Scale AnalysisOrder of Magnitude Analysis over a flat plateBoundary layer thickness as a function of Reynold’s NumberWall shear stress using Scale AnalysisSkin friction coefficient using Scale AnalysisLecture-29 Boundary layer- Blasius solutionLaminar boundary layer on a flat plateBlasius solutionWall shear stress using Blasius solutionFriction coefficient using Blasius solutionProblem- Using Blasius’s solutionLecture-30 Boundary layer- turbulent flow over a flat plateTurbulent flowGoverning Equations in Turbulent FlowBoundary layer in turbulent flowThe velocity profile in laminar and turbulent flowVelocity distribution in the turbulent boundary layerLaw of wallLecture-31 Boundary layer- Displacement and Momentum thicknessDisturbance or Boundary layer thicknessDisplacement thicknessDisplacement thickness using Blasius solutionMomentum thicknessMomentum thickness using Blasius SolutionThe relative amount of displacement and momentum thickness for laminar flow over a flat plateLecture-32 Boundary layer- Approximate solutionControl Volume analysis for Boundary layerVon Karman SolutionVon Karman Integral equationAn approximate solution to Laminar boundary layer over a flat plateLecture-33 Boundary layer- Skin Friction CoefficientFriction Coefficient for laminar boundary layerLocal and Average skin friction coefficientFriction Coefficient for Turbulent boundary layerFriction Coefficient for Mixed boundary layerProblem- Mixed boundary layer over a flat plateLecture 34 Introduction to EES-Parametric and plottingLecture-35 External flow- IntroductionExternal flow- ApplicationForces and Moments on arbitrary shape bodyExternal Flow over a flat plate and cylinderExternal flow- Low and High Reynolds’s Number flowsIntroduction to Open channel flowExternal flow characteristicsLecture-36 External Flow-Drag and LiftThe resultant force on a bodyDrag and lift ForcesDrag CoefficientProblem-Drag coefficientPressure and Shear stress distributionLecture-37 External flow- Drag Coefficient-1Drag and Lift Forces-Alternate MethodThe drag coefficient for slender bodiesProblem-Drag coefficientFactors affecting drag coefficientLecture-38 External flow- Drag Coefficient-2The drag coefficient for common geometriesDraftingFairingDrag reduction in natureDrag reduction in other applicationsExperimental measurement of drag coefficientLecture-39 External flow- Drag in VehiclesDrag Coefficient of cars-HistoryDrag and Rolling Resistance on a VehiclePower required to drive a vehicleProblem-Power-Drag and Rolling ResistanceDrag Reduction in VehiclesLecture-40 External Flow-Introduction to AirfoilWhat is Airfoil?Airfoil typesAirfoil NomenclatureAircraft terminologiesAirfoil-Potential flow theoryMinimum Flight VelocityLecture-41 External Flow-Airfoil PerformanceLift and Drag on AirfoilAirfoil-Boundary layer theoryAirfoil-Flow separationEffect of angle of attackPerformance of different AerofoilAirfoil with flapAirfoil at different Mach NumberLecture-42 CFD- IntroductionWhat is CFD?CFD Scope and ApplicationsRole of CFD in EngineeringHow CFD worksPractical Steps of Solving Problems in CFDLecture-43 CFD- Finite Difference MethodNumerical TechniquesFinite difference MethodForward, Backward and Central DifferenceMixed DerivativesProblem- Finite Difference MethodSolving problems in CFD using ANSYS-CFXLecture 44 CFD-Geometry and MeshLecture 45 CFD-Pre-Solver Solution Post Process (CFX)Unlock the secrets of the fluid world and propel your understanding to new heights. Enroll today and embark on an unparalleled journey into the heart of Fluid Mechanics!