Open AccessThe validity of the Reynolds equation in spool valve analysis considering cavitation
Author(s) -
Sung-Ho Hong,
Kyung-Woong Kim
Publication year - 2016
Publication title -
friction
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.221
H-Index - 30
eISSN - 2223-7704
pISSN - 2223-7690
DOI - 10.1007/s40544-016-0125-7
Subject(s) - cavitation , reynolds equation , reynolds number , mechanics , reynolds averaged navier–stokes equations , laminar flow , mathematics , materials science , physics , computational fluid dynamics , turbulence
The purpose of this research is to investigate the validity of the Reynolds equation in spool valve analysis under cavitation. This study is carried out for a laminar and isothermal flow between a sleeve and spool with grooves. The pressure and lateral force obtained from the Reynolds equation and the Navier-Stokes equation are compared with variations of aspect ratio, cross sectional area, and number of grooves. The cavitation phenomenon is considered by using a cavitation model in the Navier-Stokes equation and the Reynolds cavitation boundary condition in the Reynolds equation. A large difference of more than 20% is found between the equations for a lateral force of spool valve with many grooves. It was found that the Reynolds equation is not suitable for calculation of a lateral force of the spool valve with multiple-grooves of which the width and depth are even larger than the clearance under cavitation.