A two-way valve similar to the one shown in Figure 4-4 is used to meter flow away from the valve on.

A two-way valve similar to the one shown in Figure 4-4 is used to meter flow away from the valve on the left-hand side of the metering land. Rectangular porting is used for the valve in which the port height h is given by 3 mm and the underlapped dimension for the valve is given by u = 3/4 mm. The radial clearance between the spool and the valve housing is 15 microns and the length between valve ports is 50 mm. The nominal pressure drop across the valve is 20 MPa. Using a discharge coefficient of 0.62 and a fluid density of ?? = 850 kg/ calculate the nominal steady-state flow force exerted on

A two-way valve similar to the one shown in Figure 4-4 is used to meter flow away from the valve on the left-hand side of the metering land. Rectangular porting is used for the valve in which the port height h is given by 3 mm and the underlapped dimension for the valve is given by u = 3/4 mm. The radial clearance between the spool and the valve housing is 15 microns and the length between valve ports is 50 mm. The nominal pressure drop across the valve is 20 MPa. Using a discharge coefficient of 0.62 and a fluid density of ?? = 850 kg/ calculate the nominal steady-state flow force exerted on the valve. What is the pressure-rise-rate that would have to occur to instantaneously cancel out the nominal steady-state flow force? Equation (4.34) is the basic equation that must be used to calculate the flow force exerted on the two-way spool valve. Since this equation depends on the valve coefficients it will be useful to calculate the valve coefficients first. From Equations (4.4) and (4.32) it may be shown that the valve coefficients for the rectangular porting geometry of this problem are given by From Equation (4.34) it can be seen that the nominal steady-state flow force when x = 0 is given by Also from Equation (4.34) it can be seen that a pressure-rise-rate effect that would cancel this force out is given by Within hydraulic systems these types of pressure variations are not uncommon which illustrates the fact that pressure transient effects, while short lived, may be on the order of the steady-state flow forces themselves.

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