# ENGRMAE 130A Introduction to Fluid Mechanics (2011-2012)

#### 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, Mathematics 2D, Mathematics 2E, MAE30, and MAE80, each with a grade of C- or better. 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. (EAC a)

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. (EAC a, EAC-9 ME-2)

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. (EAC e)

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

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. (EAC a, EAC-9 ME-1)

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

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. (EAC e)

- 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