9873

Laminar Flow between Two Eccentric Tubes

This Demonstration plots the contour lines of the dimensionless velocity of a fully developed laminar flow between two eccentric tubes. The dimensionless radius of the outer tube is 1. Using the sliders, you can specify the inner tube radius, eccentricity, the number of collocation points on the other radius, and the number of terms in the series solution.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

Annular tubes are frequently used in double-pipe heat exchangers. The position of the internal tube has a big influence on the friction coefficient and heat transfer. White (1974) reported results about the annular channel developed by Piercy, Hooper and Winny (1933) on the basis of harmonic functions and conformal transformations. Sparrow, Loeffler, and Hubbard (1961) explored a hybrid method based on separation of variables and numerical collocation of one of the boundary conditions. This Demonstration explores similar methods to plot the velocity field of a fully developed laminar flow between two eccentric tubes.
References:
N. A. V. Piercy, M. S. Hooper, and H. F. Winny, "Viscous Flow through Pipes with Cores," Phil. Mag., Series 7, 15, 1933 pp. 647-676.
E. M. Sparrow, A. L. Loeffler, and H. A. Hubbard, "Heat Transfer to Longitudinal Laminar Flow between Cylinders," J. Heat Transfer, 83, 1961 pp. 415-422.
F. M. White, Viscous Fluid Flow, New York: McGraw-Hill, Inc., 1974.

RELATED LINKS

    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+