FLUID MECHANICS - KTH
SG2214 Fluid MechanicsAnders DahlkildLuca BrandtTeachersFLUID MECHANICSAnders DahlkildLecturesLuca BrandtRecitationsIman LashgariRecitationsDepartment of MechanicsKTHwww.mech.kth.sePhoto: Rochester Institute of TechnologyFluid Mechanics, SG2214Fluid Mechanics: SG2214Fluid Mechanics: SG2214Course requirements (7.5 cr.) INL 1 (3 cr.)– 3 sets of home work problems (for 10 p. on written exam)– 1 laboration TEN1 (4.5 cr.)– 1 written exam (50 p.)The lab is scheduled ONCE a yearFluid Mechanics, SG2214(week 41)Book: Kundu & Cohen (5:th ed.)– E-book via KTH Social/Course home page– useful also in SG2218 Turbulence andSG2221 Wave motions and Hydrodynamic stabilityFluid Mechanics, SG2214“An in-depth introduction to fluid mechanics, with an emphasis of understandingfluid phenomena using the Navier-Stokes equations, the single set of partialdifferential equations governing all fluid flow”.1. Introduction, tensors,kinematics2. Conservation laws3. Laminar viscous flow4. Vorticity dynamics5. 2D irrotational flow6. Laminar boundary layers7. Introduction to turbulent flow- Fluid Mechanics, SG22141
Fluid MechanicsWhy Fluid Mechanics ?Fluid Engineers basic tools Atmosphere, OceanExperimental testing AerodynamicsComputational FluidDynamicsTheoretical estimates Energy conversion Transport of heat/other Numerous industrialprocessesFluid Mechanics, SG2214Fluid Mechanics, SG2214Fluid MechanicsFluid MechanicsDefinition of fluidNewton’s law of motion forsolid bodyFFsolid fluidG An elastic solid deforms afinite amount under theaction of a shear force, andreturns to its original shapeas F is withdrawn.A fluid deforms continuouslyunder the action of a shear force,however small.Fluid Mechanics, SG2214rGFluid Mechanics, SG22142
Fluid MechanicsFluid MechanicsContinuum hypothesis:Newton’s law of motion in fluid for:1. Open fix control volume(integral form) Momentum principleDiscrete molecular structure of matter is disregarded.Replaced by continuous distribution of matter.V2. Infinitesimal fluid element(differential form) Navier-Stokes equationsdVFluid Mechanics, SG2214Fluid Mechanics, SG2214Fluid MechanicsFluid MechanicsNewtons law of frictionyvvyuwuuw u(y)xxzFluid Mechanics, SG2214Fluid Mechanics, SG22143
Fluid MechanicsDifferent regimes of flow:Viscous flow: circular cylinderReynolds number p L2ma L2Stokes flow:Slow flow or large viscosity p L2ma L2From An Album of Fluid Motion Fluid Mechanics, SG2214Fluid Mechanics, SG2214Example: circular cylinderViscous flow: rotating tank Increasing viscosity Re Increasing Re From An Album of Fluid Motion Fluid Mechanics, SG2214Fluid Mechanics, SG22144
Thermal convectionHeated wallVorticies and vorticity: trailing-line vorticesCooled wallFrom www.efluids.comFrom www.efluids.comFluid Mechanics, SG2214Fluid Mechanics, SG2214Vorticies: wing tip vortexVorticies: hurricanes and tornadosFrom www.efluids.comFrom www.efluids.comFluid Mechanics, SG2214Fluid Mechanics, SG22145
Irrotational flow: 2D flow around airfoilBoundary layers LL From An Album of Fluid Motion From An Album of Fluid Motion Fluid Mechanics, SG2214Flow separationFluid Mechanics, SG2214Turbulent separationLaminar flow separatesfaster than turbulent flowAttached flowLaminar flowFrom An Album of Fluid Motion Turbulent flowSeparated flowFrom An Album of Fluid Motion From An Album of Fluid Motion Fluid Mechanics, SG2214Fluid Mechanics, SG22146
Surface waves: potential flow with free surfaceSG2221: Wave motions and hydrodynamic stability, 7.5 cr.Flow instability: von Karman vortex streetFrom www.eng.vt.edu/fluids/msc/galleryPerry, Chang & Lim, JFM 116From An Album of Fluid Motion From www.efluids.comFluid Mechanics, SG2214Fluid Mechanics, SG2214Flow instability: vortex breakdownTurbulence: jets and boundary layersFrom www.efluids.comFrom An Album of Fluid Motion From An Album of Fluid Motion Mount St Helen eruption, from www.efluids.comFrom www.efluids.comFrom www.efluids.comFluid Mechanics, SG2214Fluid Mechanics, SG22147
SG2218 Turbulence, 7.5 cr.Compressible flow: shock-wavesFrom www.efluids.comFrom www.efluids.comFluid Mechanics, SG2214Fluid Mechanics, SG2214Turbulent flow over high-lift profiles using RANSSG2215 Compressible Flow, 7.5 cr.Photo: NASA's Dryden Flight Research CenterTurbulent kinetic energy and streamlinesFluid Mechanics, SG2214Total pressure loss p-p0Fluid Mechanics, SG22148
SG2212 Computational Fluid dynamics, 7.5 cr.SG2224 Applied Computational Fluid Dynamics, 5 cr.Incompressible fluid elementFluid Mechanics, SG2214Fluid Mechanics, SG2214Navier-Stokes equationsVector formCartesian tensor formi 1,2,3VelocityDynamic viscosity μ GradientoperatorDensity PressurepLaplaceoperatorFluid Mechanics, SG22149
Fluid Mechanics Fluid Engineers basic tools Experimental testing Computational Fluid Theoretical estimates Dynamics Fluid Mechanics, SG2214 Fluid Mechanics Definition of fluid F solid F fluid A fluid deforms continuously under the action of a s
Fluid Mechanics 63 Chapter 6 Fluid Mechanics _ 6.0 Introduction Fluid mechanics is a branch of applied mechanics concerned with the static and dynamics of fluid - both liquids and gases. . Solution The relative density of fluid is defined as the rate of its density to the density of water. Thus, the relative density of oil is 850/1000 0.85.
Applied Fluid Mechanics 1. The Nature of Fluid and the Study of Fluid Mechanics 2. Viscosity of Fluid 3. Pressure Measurement 4. Forces Due to Static Fluid 5. Buoyancy and Stability 6. Flow of Fluid and Bernoulli's Equation 7. General Energy Equation 8. Reynolds Number, Laminar Flow, Turbulent Flow and Energy Losses Due to Friction
Fundamentals of Fluid Mechanics. 1 F. UNDAMENTALS OF . F. LUID . M. ECHANICS . 1.1 A. SSUMPTIONS . 1. Fluid is a continuum 2. Fluid is inviscid 3. Fluid is adiabatic 4. Fluid is a perfect gas 5. Fluid is a constant-density fluid 6. Discontinuities (shocks, waves, vortex sheets) are treated as separate and serve as boundaries for continuous .
Analysis of Performance Measures That Affect NBA . Salaries. SIMON LOUIVION : FELICIA PETTERSSON. Degree Projects in Applied Mathematics and Industrial Economics: Degree Programme in : Industrial Engineering and Management : KTH : Royal Institute of Technology year 2017 Supervisors at KTH: Henrik Hult, Kristina Nyström . Examiner at KTH: Henrik Hult. TRITA-MAT-K 2017:15 ISRN-KTH/MAT/K--17/15 .
By navigating to KTH intra IT website (https://intra.kth.se/it), then choosing \MS Dreamspark Pre- mium" (or followthis link), press the \Microsoft Dreamspark Premium" login button. 2 Log in using your KTH credentials, then search for Microsoft Visual Studio. At the time of writing this tutorial, the product was presented on the rst page.
L M A B CVT Revision: December 2006 2007 Sentra CVT FLUID PFP:KLE50 Checking CVT Fluid UCS005XN FLUID LEVEL CHECK Fluid level should be checked with the fluid warmed up to 50 to 80 C (122 to 176 F). 1. Check for fluid leakage. 2. With the engine warmed up, drive the vehicle to warm up the CVT fluid. When ambient temperature is 20 C (68 F .
Chapter 06 Fluid Mechanics _ 6.0 Introduction Fluid mechanics is a branch of applied mechanics concerned with the static and dynamics of fluid - both liquids and gases. The analysis of the behavior of fluids is based on the fundamental laws of mechanics, which relate continuity of
another language. A “Secondary Section” is a named appendix or a front-matter section of the Docu-ment that deals exclusively with the relationship of the publishers or authors of the Document to the Document’s overall subject (or to related matters) and contains noth-ing that could fall directly within that overall subject. (For example .
