7 Schedule

Class times: MWF 12:55-1:45 in A226 CEB (A building).

Tentative outline and homeworks (keep checking for changes):

08/29/05 M
08/31/05 W
09/02/05 F Due: 1.4
09/05/05 M LABOR DAY
09/07/05 W Due: 4.4
09/09/05 F Due: 4.1
09/12/05 M
09/14/05 W Due: 4.9
09/16/05 F Due: 4.8, 4.5 and explain, 4.2
09/19/05 M Due: 4.7 plus discrepancy with 4.2
09/21/05 W
09/23/05 F
09/26/05 M Due: Write the continuity equation for a Cartesian finite volume
09/28/05 W Due: 5.2
09/30/05 F Due: 5.3
10/03/05 M 5.1
10/05/05 W 5.11, 5.12
10/07/05 F Due: 5.6
10/10/05 M Mid Term Exam
10/12/05 W Due: 6.1
10/14/05 F Due: 6.5 (Last day to drop)
10/17/05 M Due:
10/19/05 W Due: 7.9. In particular, use equivalent steps as we used in class for a duct to find this flow. You can assume that the pipe wall can be approximated as a flat wall.
10/21/05 F Due: 7.10, 7.1 using the same steps as used in class to solve duct flow.
10/24/05 M Due: 7.6
10/26/05 W Due: 7.4
10/28/05 F Due: Consider the below graph for the minor head losses due to sudden changes in pipe diameter:
$\epsffile{figures/hl.eps}$
Discus the following issues as well as possible from the sort of flow you would expect.
1. How come the head loss become zero for an area ratio equal to 1?
2. Why would the head loss be exactly one for a large expansion? Coincidence?
3. Why would the head loss be less than one if the expansion is less? If the expansion is less, is not the pipe wall in the expanded pipe closer to the flow, so should the friction with the wall not be more??
4. Why is there a head loss for a sudden contraction? The mechanism cannot be the same as for the sudden expansion, surely? Or can it?
(FSU Homecoming)
10/31/05 M Due: 7.18
11/02/05 W Due: 7.16
11/04/05 F Due: 7.14. Additionally, examine whether the velocity profiles are similar.
11/07/05 M Due: 13.7
11/09/05 W Due: Derive the streamfunction of ideal stagnation point flow. From it, determine the mathematical form of the streamlines. Also 18.1
11/11/05 F VETERANS DAY
11/14/05 M Due: 18.8
11/16/05 W Due: Velocity and streamlines of vortex flow. What is the circulation and vorticity?
11/18/05 F Due: Find the velocity and pressure at the surface of a cylinder in an ideal flow.
11/21/05 M Due: 18.5, assuming $p\asymp p_{\mbox{\scriptsize ref}}$ at large and , not the impossible $p+\frac12\rho U_\infty^2 =$ constant.
11/23/05 W Due: Compute the Reynolds number of your car and of a passenger plane flying somewhat below the speed of sound. List your assumptions. What is the flow velocity of water in a pipe of 10 cm diameter if the Reynolds number is one?
11/25/05 F THANKSGIVING
11/28/05 M Due: 8.14. Also, identify the boundary layer variables for the case of a circular cylinder with the cylindrical coordinates $r,\theta, v_r,v_\theta$ . Write the exact Navier-Stokes equations for this example in terms of the boundary layer coordinates, and compare with the boundary layer approximation. Argue that in a thin boundary layer, the differences between the two can be ignored.
11/30/05 W Due: Write the full boundary layer problem to be solved for unsteady boundary layer flow around a circular cylinder (partial differential equations and boundary conditions), being specific about the values of all variables involved.
12/02/05 F Due: Find the drag force on a plate of length 0.5 m that is moving flush through air at a speed 0.5 m/s. Also determine what the viscous stress $\tau_{yy}$ normal to the plate surface is.
12/05/05 M Due: Find the pressure changes in the entrance flow of a two dimensional duct due to the thin wall boundary layers.
12/07/05 W Due:
12/09/05 F Due: Compare the value of speed of sound time molecular mean free path $\lambda$ for standard air with the kinematic viscosity $\nu$ .
12/16/03: Final Friday 7:30-9:30 am (ignore FAMU schedule).