CE 230-Engineering Fluid Mechanics

Lecture # 15 & 16

Fluid flow

Flowing fluids

Static versus flowing fluid

Objectives of the part of course

Basic concepts and definitions

Types of flow

Steady versus unsteady

Uniform versus no uniform

1-D versus multi-D

Laminar versus turbulent

Development of flow pattern

Why not solve problem?

Flow visualization analog and experimental methods

Streamlines, streaklines and pathlines

Pathlines

Uniform flow

Non-uniform flow

Velocity distribution in a pipe- laminar vs turbulent flow

Volume flow rate, Q

Q = ΔV/ Δt = dV/dt

Calculating Q if velocity is constant

Q=∫ v.dA

Mass flow rate

Example 5.3

Find flow rate and average velocity in the 5 m wide channel.Given: d = 2 m and maximum velocity = 3 m/s.

Example

Find flow rate and average velocity in the triangular channel.Given: maximum velocity = 6 ft/s.

Material derivative and Acceleration

Total acceleration

Local acceleration

Convective acceleration

Example (p 4-26)

2)/5.01(2

LxtV

Determine local, convective and total accelaration at x=0.5L and t= 3 s