The nonstationary motion of a compressible liquid in pipes with different friction laws
Abstract
Several examples of nonstationary flow of a liquid in pipelines with different resistance laws are analyzed. Numerical solutions are obtained by a finite difference method for a series of problems involving the motion of a liquid in hydraulically smooth pipes and in pipes with quadratic resistance laws. Results are compared with those obtained by linearization of the quadratic friction term (Charnyi, 1951). It is shown that the linearization method leads to large errors in the determination of pressure (4555%) and velocity (4070%).
 Publication:

PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
 Pub Date:
 February 1976
 Bibcode:
 1976PMTF........87K
 Keywords:

 Compressible Fluids;
 Friction Factor;
 Nonequilibrium Flow;
 Pipe Flow;
 Blasius Flow;
 Computer Techniques;
 Error Analysis;
 Finite Difference Theory;
 Flow Resistance;
 Hookes Law;
 Hydrodynamic Equations;
 Linearization;
 Numerical Analysis;
 Pressure Distribution;
 Fluid Mechanics and Heat Transfer