EML 5709 Syllabus |
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© Leon van Dommelen |
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8 Class Schedule
Class times: MWF 11:00-11:50 in A125 CEB (A building).
Normally, homeworks cover last week's material and are due on
Wednesdays. Exceptions occur.
The below schedule is subject to change. Coverage shown is that of
an earlier year, not necessarily this year.
- 08/26/19 M
Fire alarm. Syllabus. Pick up DVDs. Definition of a continuum.
Density and velocity.
- 08/28/19 W
[1 Kinematics: Kinematics of point ..., to jelly fish
2-16]
Knudsen number. Lagrangian stagnation point flow. Material
derivative. Particle paths. Velocity and acceleration.
- 08/30/19 F
[2 Kinematics: The material derivative, to Stokes 37-49]
Pressure force per unit volume. Pressure and velocity fields.
Eulerian stagnation point flow. Euler equations.
- 09/02/19 M LABOR DAY
- 09/04/19 W Due: HW 1.
[3 Kinematics: Flowlines ..., to Onera 59-78]
Particle paths in Eulerian coordinates. Elementary displacements in
Cartesian, cylindrical, and spherical coordinates. Streamlines and
streaklines.
- 09/06/19 F
[4 The Deformation of Continuous Media
movie on
the class movie page]
Finish streaklines. Particle deformation. Solid body rotation.
- 09/09/19 M
[5 Kinematics: Compressible and incompressible flow, to Newton
50-58]
Vorticity. Strain rate picture.
- 09/11/19 W Due HW 2.
[6 Dynamics: Newton's second law of motion 142-153]
Finding principal strains and principal directions as eigenvalues
and eigenvectors of the strain rate tensor. Rate of relative volume
expansion. Continuity for incompressible fluids.
- 09/13/19 F
[7 Dynamics: Navier-Stokes equations 154-167]
Continuity equation for compressible fluids. Molecular basis of
stresses. Viscosity. Coefficient of viscosity.
- 09/16/19 M
[8 Dynamics: Boundary conditions 173-190]
Stress tensor. Finding stresses on arbitrarily oriented surfaces.
Need for symmetry of the stress tensor for normal fluids. Newtonian
fluids. Reasons for fluids to be Newtonian.
- 09/18/19 W Due HW 3.
[9 Dynamics: Reynolds Number: 191-199]
Newtonian stress tensor. Navier Stokes equations.
- 09/20/19 F
[10 Control volumes: intro 866-877]
Hydrostatics. Boundary conditions. No slip boundary
condition. Justification of the condition. Kinetic pressure. Start
of energy equation.
- 09/23/19 M
[11 Control Volumes: Conservation of mass 881-893]
Heat conduction. Fourier's law. Energy equation. Second law form.
Dissipation.
- 09/25/19 W Due: HW 4.
[12 Control Volumes: Balance of momentum 894-904]
Material regions. Surface and body forces. Start of control
volumes. Mass conservation and mass fluxes. Momentum conservation
and momentum fluxes.
- 09/27/19 F
[13 Control Volumes: Pressure jet 932-935 (list drag
coefficients) and cylinder wake virtual jets 936-938 (explain the
error in the drag coefficients)]
Control volumes. Complete equations. Surface forces. Pipe nozzle.
- 09/30/19 M
[14 Control Volumes: Conservation of energy 939-946]
Control volume analysis of drag in an infinite fluid.
- 10/02/19 W Due: HW 5.
[15 Dynamics: Low Reynolds number 219-228]
Displacement thickness. Momentum thickness.
- 10/04/19 F
[16 Dynamics: Forces: 245-251]
Finite volume example: mass.
- 10/07/19 M
[17 Dynamics: Reynolds number Gallery 200-218]
Finite volume example: momentum. Example incompressible flow field
involving a duct. Streamline curvature and pressure.
Unidirectional flow: plane Poiseuille flow.
- 10/09/19 W Due: HW 6.
[18 Dynamics: Forces: 252-260]
Plane Poiseuille flow.
- 10/11/19 F
[19 Dynamics: 168-172 (CFD) and 261-269 (drag)]
Head loss. Major head loss. Minor head loss.
- 10/14/19 M
[20 Dynamics: Stokes flow 229-244]
Review.
- 10/16/19 W Due: HW 7.
[21 Similarity: Dimensionless numbers: 521-533]
Review.
- 10/18/19 F
Midterm Exam
- 10/21/19 M
[22 Similarity: Forces: 495-508]
Stokes 2nd problem. Application to more general impulsively started
flows.
- 10/23/19 W Due: HW 7-8.
[23 Similarity: Forces: 509-520]
Stokes 2nd problem.
- 10/25/19 F
[24 Dynamics: Potential flow: 270-281]
Stokes 2nd problem finished. Kelvin theorem.
- 10/28/19 M
[25 Dynamics: Potential flow: 282-287]
Bathtub vortices. Kutta-Joukowski law. Stokes theorem.
Persistence of irrotational flow.
- 10/30/19 W Due: HW 9.
[26 Boundary Layers: 612-621]
Vortex tubes. Biot-Savart law. Straight line vortices.
- 11/01/19 F
[27 Boundary Layers: 603-611]
Helmholtz theorems. Trailing vorticity system of wings. Trailing
vortices. Induced drag. Ground effect. Mirror vortices.
- 11/04/19 M
[28 Boundary Layers: 622-624, 628-637]
Potential flow and its Bernoulli law. Ideal flow around a cylinder.
- 11/06/19 W Due HW 10.
[29 Boundary Layers: 638-650]
Streamfunction. Complex variables.
- 11/08/19 F
[30 Boundary Layers: 651-661]
Overview of complex variable solutions. Basic ideal flows.
Superposition. Rankine bodies.
- 11/11/19 M VETERANS DAY
- 11/13/19 W Due: HW 11.
[31 Boundary Layers: 662-675]
Cylinder. Overview of conformal mappings: Joukowski mapping.
Ellipses. Flat plate airfoils.
Kutta condition. Lift coefficient. Joukowski airfoils.
- 11/15/19 F
[32 Boundary Layers: 676-686]
Homework 7 (unidirectional flows) review. Lift coefficient for thin
airfoils.
- 11/18/19 M
[33 Turbulence: 697-709]
Boundary layer coordinates. Boundary layer separation. Boundary
layer equations.
- 11/20/19 W Due: HW 12.
[34 Turbulence: 710-715, 720-726]
Matching with the potential flow. Blasius boundary layer.
Similarity.
- 11/22/19 F
[35 Turbulence: 727-739]
Blasius solution. Wall shear.
- 11/25/19 M
[36 Turbulence: 799-806]
Drag coefficient. Displacement thickness.
- 11/27/19 W THANKSGIVING
- 11/29/19 F THANKSGIVING
- 12/02/19 M
Scaling and nondimensional numbers. Reynolds number independence
of the boundary layer equations. Sychev-Smith-Chernyshenko theory.
- 12/04/19 W Due HW 13.
Review.
- 12/06/19 F Review.
- 12/12/19 Thursday 7:30-9:30 am;
FINAL EXAM (in the usual classroom).
- 12/17/19 4:00 pm: Grades due online FSU (Available next day)