### Fluid Mechanics

#### ME 31000 / 4 Cr. (3 Class, 2 Lab)

Continua, velocity fields, fluid statics, basic conservation laws for systems and control volumes, dimensional analysis. Euler and Bernoulli equations, viscous flows, boundary layers, flows in channels and around submerged bodies, and one-dimensional gas dynamics.

**Available Online:** No

**Credit by Exam:** No

**Laptop required:** No

**Prerequisites/Co-requisites:**

P: ME 20000, MATH 26600, ME 27400.

##### Textbooks

Munson, Young, Okiishi and Huebsch, Fundamentals of Fluid Mechanics, Seventh Edition, John Wiley & Sons, 2012.

##### Goals

To teach students the basic knowledge of fluid statics and fluid dynamics for cases of non-viscous and viscous fluids and for cases of incompressible as well as compressible flow.

##### Outcomes

**After completion of this course, the students should be able to:**

- Describe the scope of fluid mechanics [a].
- Calculate the hydrostatic forces, pressures and moments on planar and curved submerged and floating surfaces [a, k].
- Decide when it is appropriate to use ideal flow concepts and the Bernoulli equation [a].
- Construct an appropriate control volume for a given engineering system and apply the principles of conservation of mass, momentum, and energy to this control volume in differential and integral forms [a].
- Present data or governing equations in non-dimensional form and apply dimensional analysis [a].
- Solve for internal flow in pipes and channels through simple solutions of the Navier-Stokes equations, the Moody chart and the head-loss equation [a].
- Solve for external (laminar and turbulent boundary layer) flows, evaluate lift and drag, know when there is possibility of flow separation [a].
- Describe the propagation of sound; apply the basic equations of 1D, steady compressible flow and isentropic flow with area change to solve for unknown properties using appropriate property relations [a, k]

Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.

##### Topics

**Topics**

- Fundamental concepts - continuum model, characteristics of fluids (2 periods)
- Fluid statics - hydrostatic pressure, forces on submerged surfaces (3 periods)
- Flow fields and fundamental laws- systems and control volumes, conservation of mass, momentum equation and the first law of thermodynamics (5 periods)
- Differential analysis of fluid flow, incompressible inviscid flow (4 periods)
- Dimensional analysis and similitude (2 periods)
- Flow in conduits and pipes - fully developed flow in pipes, minor losses, pipeline problems (4 periods)
- Boundary layers and flow over objects (4 periods)
- Introduction to compressible flow - speed of sound, stagnation properties (2 periods)
- Steady state, one-dimensional compressible flow - basic equations for isentropic flow, adiabatic flow with friction (2 periods)
- Tests (3 periods)

##### Laboratory Outcomes

After completion of this course, the students should be able to:

- Measure static pressure in fluid flows [b, a4]
- Measure hydrostatic fluid forces and verify experimental results with theory [b, a4]
- Measure head losses in pipe flows and apply the Bernoulli equation and control volume concepts to analyze data [b, a4]
- Work in teams and write individual laboratory reports to document experiments and analyses [b, d, g, k4]

Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.

##### Laboratory Experiments

- Hydro-static Force and Center Pressure
- Jet Reaction
- Friction Factor of the Hose
- Pipe Flow from Open Tank
- Wind Tunnel
- Pressure Losses
- The Fluid Circuit System
- Falling Sphere Viscometer Expirement
- Water Tunnel, Delta Wing Effects
- Orifice and Jet Apparatus

##### Design Tools

CAE tool for modeling, design and analysis (eg. I-DEAS, Pro/ENGINEER)