Skip to main content

Consortium for Mathematics and its Applications

Product ID: 99210
Supplementary Print
Undergraduate

Viscous Fluid (UMAP)

Author: Philip M. Tuchinsky


This module uses Poiseuille's Law to compute total flow of fluid through a pipe, sets up a moderately complicated integral sum, and calculates it in three ways. The result is also used to find the viscosity of certain fluids. Students replace a simple integral, reduce simple Riemann-Stieltjes integrals to Riemann integrals and calculate the latter, discuss how well Poiseuille's Law models a specified viscous fluid flow situation, describe a lab procedure for finding the coefficicent of viscosity of a fluid, and identify local vs. global information.

Table of Contents:

1. LAMINAR FLOW

2. POISEUILLE'S LAW

3. WHEN DOES THIS LAW HOLD?

4. THE VELOCITY OF FLOW AND THE AMOUNT OF FLOW

5. THE TOTAL FLOW THROUGH A PIPE OF RADIUS R

6. THE RIEMANN INTEGRAL

7. THE RIEMANN-STIETJES INTEGRAL

8. DISCRETE SUMMATION

9. INTEGRATION: LOCAL DATA YIELDS GLOBAL RESULTS

10. CALCULATION OF VISCOSITY

11. EXERCISES

12. REFERENCE

13. SOLUTIONS OR HINTS TO EXERCISES

©1983 by COMAP, Inc.
UMAP Module
22 pages

Mathematics Topics:

Calculus

Application Areas:

Engineering & Construction , Physical Sciences

Prerequisites:

Recognition of an integral as a limit of Riemann sums; calculating integrals; comfort with summation results like 1+2+3+...+n = n(n+1)/2

You must have a Full Membership to download this resource.

If you're already a member, login here.

Not yet a member?