Pulsating laminar flow in a cylindrical pipe with through flow
Abstract
The fully developed unsteady laminar motion of a compressible viscous fluid in a pipe of circular crosssection is analyzed by dividing it into two components, the timeaveraged mean flow and the oscillatory component. When a mean flow exists, the convective acceleration terms in the equation of motion have to be considered according to the compressibility of the fluid and the magnitude of the mean flow velocity. (The convective acceleration terms are negligible for oscillatory flow alone if acoustic approximations are valid.) The paper provides a mathematical treatment of the problem and shows the effect of the mean flow on the velocity distribution and propagation constant of the oscillatory component of motion, and also shows the effect on the transfer matrix.
 Publication:

JSME International Journal Series B
 Pub Date:
 April 1977
 Bibcode:
 1977JSMEB..20..442I
 Keywords:

 Compressible Flow;
 Laminar Flow;
 Oscillating Flow;
 Pipe Flow;
 Viscous Flow;
 Flow Velocity;
 Liquid Flow;
 Unsteady Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer