THE INFLUENCE OF VISCOSITY ON THE FLOW OF GASES THROUGH LONG TUBES AND SLOTS,
Abstract
The isothermal and adiabatic flows of a viscous gas through a long straight channel were analyzed under the assumptions of constant wall temperature, a Prandtl number of unity, and a parabolic boundary layer velocity profile. Two regimes of flow were found. For inlet Mach numbers below a critical value, the boundary layer builds up and eventually fills the channel. The ratio of the length of this inlet region to the Reynolds number based on inlet conditions was found as a function of the inlet Mach number. The influence of this inlet region on the pressure distribution in fully developed viscous channel flow is presented in the form of a length correction to the formulae for isothermal flow. For Mach numbers greater than the critical value, the boundary layer thickness attains a maximum value without filling the entire cross section, and the flow in the center core then becomes choked. Graphs are given from which it is possible to estimate the mass flow through a long choked channel when the stagnation conditions of the flow and the geometry of the channel are known. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0281877
Entities
People
- F. Edward Ehlers
Organizations
- Boeing