Design of Two-Dimensional Channels With Prescribed Velocity Distributions Along the Channel Walls. 1. Relaxation Solutions
Abstract
A general method of design is developed for two-dimensional unbranched channels with prescribed velocities as a function of arc length along the channel walls. The method is developed for both incompressible and compressible, irrotational, nonviscous flow. Two types of compressible flow are considered: the general type, with the ratio of specific heats equal to 1.4, for example, and the linearized type in which specific heat is equal to -1.0. The design method gives complete information concerning the flow throughout the channel. Five numerical examples are given including three elbow designs with the same prescribed velocity as a function of arc length along the channel walls but with incompressible, linearized compressible, and compressible flow. It is concluded that if a nonviscous gas with arbitrary specific heat (1.4, for example) were to flow through a channel designed for linearized compressible flow (specific heat = -1.0), the resulting velocity distribution along the channel walls would be nearly the velocity distribution prescribed for the linearized compressible flow, at least if the linearized flow were selected so that the densities are equal for both types of flow at the maximum and minimum velocities and if the ratio of these velocities is not too large (2:1 in the numerical examples).
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1952
- Accession Number
- ADA380410
Entities
People
- John D. Stanitz
Organizations
- National Aeronautics and Space Administration