Unsteady flow of a viscous fluid in pipelines with allowance for inertial forces
Abstract
A system of nonlinear partial differential equations describing unsteady flows in cylindrical tubes is solved by an epsilon method with allowance for inertia. Analytical expressions are derived for calculating the flow rate and pressure of the fluid as a function of time and of the tube cross section. An example is examined in which the flow rate at the tube exit section is given in the form of a periodic function.
 Publication:

Prikladnaia Mekhanika
 Pub Date:
 September 1974
 Bibcode:
 1974PriM...10..105S
 Keywords:

 Flow Equations;
 Inertia;
 Pipe Flow;
 Unsteady Flow;
 Viscous Fluids;
 Boundary Value Problems;
 Flow Velocity;
 Hyperbolic Differential Equations;
 Nonlinear Equations;
 Partial Differential Equations;
 Periodic Functions;
 Pressure Distribution;
 Time Dependence;
 Fluid Mechanics and Heat Transfer