THERMO-FLUIDS II
(a.k.a. ME212)
Instructors: Dr. Luca Biancofiore
Email: luca@bilkent.edu.tr
Office: EA130
Chapter 9: Internal flows
Textbook: Introduction to Thermal and Fluids Engineering
D. A. Kaminski and M. K. Jensen
Introduction
Differential analysis of Fluid flow
Continuity equation
Momentum equation
Viscous flow → Navier-Stokes equations
Laminar or Turbulent flow
Head loss (pipes, turbomachines)
To find the friction factor in the head loss formula for non-circular
V2
conduit hL = f DLh 2gm we can use the Moody chart for turbulent flows
and this table for laminar ones.
Exercise 9.3
A vertical conduit with a triangular cross-section carries liquid
ethylene glycol at 0o C. All three sides of the conduit are length
of 0.82cm and the conduit has a height of 2 m. If the fluid flows
upward at 0.7m/s find the pressure change between the inlet
and the outlet. Assume fully developed flow.
Exercise 9.5
Exercise 9.6
Final example - 1
Final example - 2
The end
Chapter 9 is terminated.
Keep tuned for External Flows in Chapter 10!