Technical Brief

On Viscous Flow in Semi-Elliptic Ducts

[+] Author and Article Information
C. Y. Wang

Department of Mathematics and Mechanical Engineering,
Michigan State University,
East Lansing, MI 48824
e-mail: cywang@mth.msu.edu

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 2, 2015; final manuscript received June 10, 2015; published online August 6, 2015. Assoc. Editor: John Abraham.

J. Fluids Eng 137(11), 114502 (Aug 06, 2015) (4 pages) Paper No: FE-15-1233; doi: 10.1115/1.4030898 History: Received April 02, 2015

The exact series solutions for the laminar flow in a semi-elliptic duct are presented. The present work studies the semi-elliptic duct with the minor axis as the straight wall, which complements that of Alassar and Abushoshah who used the major axis. Properties of the two types of semi-elliptic ducts are given, including the asymptotic Poiseuille numbers.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 1

(a) The wide semi-ellipse with the major axis as the flat side. (b) The deep semi-ellipse with the minor axis as the flat side.

Grahic Jump Location
Fig. 2

Constant velocity lines for wide semi-ellipse, b = 0.5. From outside: w = 0, 0.005, 0.01, 0.015, 0.02, and 0.025.

Grahic Jump Location
Fig. 3

Constant velocity lines for “deep” semi-ellipse, b = 0.5. From outside: w = 0, 0.01, 0.02, 0.03, 0.04, and 0.05.

Grahic Jump Location
Fig. 4

Constant velocity lines for deep semi-ellipse, b = 0.2. From outside: w = 0, 0.0025, 0.005, 0.0075, 0.01, 0.0125, and 0.015. The maximum shear is at x = 0.347 and y = ±0.188 on the curved wall.




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In