Research on wave phenomena in hydraulic lines. I - Unsteady liquid flow in a uniform pipe. II - Unsteady liquid flow in a tapered pipe
Abstract
Three sorts of wave equations, i.e., (1) wave equations taking into account viscosity and radial velocity, (2) wave equations assuming Hagen-Poiseuille flow and (3) water hammer equations, are compared for unsteady flow in uniform lines. Both frequency and transient response experiments are carried out with use of a rotary sinusoidal flow generator and a quick closing valve, respectively. Experimental and numerical results make clear that the wave equations (1) can most accurately predict wave phenomena in hydraulic lines. The wave equations (2) and (3) are found to be applicable to sinusoidal excitations. By utilizing numerical inversion of the Laplace transform, transient responses can be calculated.
- Publication:
-
JSME International Journal Series B
- Pub Date:
- September 1974
- Bibcode:
- 1974JSMEB..17.1157W
- Keywords:
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- Frequency Response;
- Hydraulic Control;
- Inviscid Flow;
- Pipe Flow;
- Unsteady Flow;
- Viscous Fluids;
- Wave Propagation;
- Laminar Flow;
- Laplace Transformation;
- Pressure Distribution;
- Transient Response;
- Water Hammer;
- Fluid Mechanics and Heat Transfer