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