# ENGRMAE 130A Introduction to Fluid Mechanics (2016-2017)

#### ENGRMAE 130A Introduction to Fluid Mechanics

**ENGRMAE 130A Introduction to Fluid Mechanics (Credit Units: 4)** Fundamental concepts; fluid statics; fluid dynamics; Bernoulli's equation; control-volume analysis; basic flow equations of conservation of mass, momentum, and energy; differential analysis; potential flow; viscous incompressible flow. Prerequisite: PHYSICS 7C, MATH 2D, MATH 2E, MATH 3D, ENGRMAE 30, ENGRMAE 80 and ENGRMAE 91; each with a grade of C- or better. Aerospace Engineering, Civil Engineering, Materials Science Engineering, and Mechanical Engineering majors have first consideration for enrollment. . Only one course from ENGRMAE 130A, CBEMS 125A, ENGRCEE 170 may be taken for credit. (Design units: 0)

1. Knowledge of basic properties of fluids: density, viscosity, surface tension, vapor pressure, ideal gas law, their definitions, variation with temperature and pressure, use of tables. Dimensional analysis.

2. Understanding the concept of pressure as a point function and the basic equation of hydrostatics: balance of pressure gradient with gravity and general body forces. Pressure measurement, gage pressure and absolution pressure, manometers.

3. Use of the equation of hydrostatics to determine pressure distributions over arbitrary wetted surfaces, including fluids with rigid-body rotation. Understanding the physical origin of buoyancy and being able to calculate buoyancy forces in fluids at rest and also in solid-body motion.

4. Understanding and ability to apply the one-dimensional continuity equation and Bernoulli’s equation to solve flow problems

5. Understanding Fluid Kinematics: Eulerian and Lagrangian Flow descriptions, one, two, three-dimensional flows, steady, unsteady flows, streamlines, streaklines, and pathlines, calculation of fluid acceleration, material derivative. Control volume and System Representation: Reynolds transport equations. Conservative and Differential form of the flow equations.

6. Use Control Volume Analysis: mass, momentum, and energy equations to solve practical flow problems.

7. Differential form of the basic fluid dynamic equations: mass, momentum, and energy equations, Bernoulli’s equation. Stream functions, irrotational flow, potential function, souces, doublets, and vorties.

- Newtonian Mechanics
- Applied Vector Calculus and Differential Equations

- Introduction and Fundamentals
- Fluid Statics
- Fluid Dynamics
- Fluid Kinematics
- Control Volume Analysis
- The Differential Equations of Fluid Motion
- Potential Flow, using Complex Potential
- Vorticity Dynamics, Kelvin-Hemholtz Instability
- Tensor Notation
- Constitutive Relations
- Viscous Incompressible Flow

Meets for 3 hours of lecture and 1 hour of discussion each week for 10 weeks.

Computer-based plotting and visualization recommended.

None.

Contributes toward the Mechanical Engineering Topics courses. Contributes toward the Aerospace Engineering Topics courses.

- Homework: 12.5%
- Quizzes: 12.5%
- Midterm Exam: 35%
- Final: 40%
- Total: 100%

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 4.0 credit units

Engineering Science: 4.0 credit units

Engineering Design: 0.0 credit units