Viscous flow in simple curved gaps. I - An asymptotic theory. II - Viscous stress and shape functionThe present asymptotic theory for generalized incompressible two-dimensional steady flow in curved channels has been constructed in the limit when gas thickness approaches zero with its lateral dimensions fixed; successive asymptotic solution terms are analytically generated by quadratures. In the second part of this work, the curvature of the gap treated is arbitrary. It is established that each term in the series solution of velocity and pressure is the product of a scale factor and a universal shape functions. Various interaction modes between the volume rate-of-flow, curvature, and its variations, are identified and quantitatively characterized.
Document ID
19900028337
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Fan, D.-N. (Howard University Washington, DC, United States)
Tong, W. (Minnesota, University Minneapolis, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: Heat Transfer and Fluid Mechanics Institute Meeting