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A flow control valve includes an inlet, an outlet, and defines a fluid flow path. A valve seat is disposed within a valve body, and a valve plug in the valve body is surrounded by a cage. An exterior surface of the valve plug includes a plurality of notch sets, each notch set spaced apart from an ad

A flow control valve includes an inlet, an outlet, and defines a fluid flow path. A valve seat is disposed within a valve body, and a valve plug in the valve body is surrounded by a cage. An exterior surface of the valve plug includes a plurality of notch sets, each notch set spaced apart from an adjacent notch set along the longitudinal axis, and the cage is disposed within the valve body and arranged to retain the valve seat, with an interior of the cage including a plurality of annular recesses. The annular recesses are spaced apart along the longitudinal axis, and the cage includes a plurality of apertures forming a portion of the fluid flow path. The notch sets and the recesses are arranged to form a plurality of turns in the fluid flow path when the valve plug is shifted toward the open position.

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1. A flow control valve, comprising: a valve body having an inlet, an outlet, and defining a fluid flow path extending between the inlet and the outlet;a valve seat disposed within the valve body;a valve plug disposed in the valve body, the valve plug defining a longitudinal axis and arranged to shi

1. A flow control valve, comprising: a valve body having an inlet, an outlet, and defining a fluid flow path extending between the inlet and the outlet;a valve seat disposed within the valve body;a valve plug disposed in the valve body, the valve plug defining a longitudinal axis and arranged to shift along the longitudinal axis between a fully open position and a closed position;a bonnet assembly coupled to the valve body, the bonnet assembly removed from the fluid flow path;an exterior surface of the valve plug having a plurality of notch sets, each notch set spaced apart from an adjacent notch set along the longitudinal axis, the plurality of notch sets comprising at least a first notch set, a second notch set, and a third notch set, the second notch set being rotated about the longitudinal axis of the plug relative to the first notch set, each of the first, second, and third notch sets including first and second notches disposed parallel to one another; anda cage disposed within the valve body, the cage surrounding the valve plug and having a first end seated against the valve seat to retain the valve seat in the valve body and a second end, opposite the first end, seated against the bonnet assembly, an interior of the cage including a plurality of annular recesses, the annular recesses spaced apart along the longitudinal axis and including a first annular recess defining a first volume, a second annular recess downstream of the first annular recess and defining a second volume that is greater than the first volume, and a third annular recess downstream of the second annular recess and defining a third volume that is greater than the second volume, the cage including a plurality of apertures forming a portion of the fluid flow path, and the cage including a first inwardly extending annular protrusion located between the first annular recess and the second annular recess, and a second inwardly extending annular protrusion located between the second annular recess and the third annular recess, the second inwardly extending annular protrusion having a radius substantially equal to a radius of the first inwardly extending annular protrusion;wherein a radius of an outer surface of the third annular recess is larger than a radius of an outer surface of the second annular recess, and the radius of the outer surface of the second annular recess is larger than a radius of an outer surface of the first annular recess;wherein the exterior surface of the valve plug includes a first protrusion between the first and second notch sets, and a second protrusion between the second and third notch sets;wherein when the valve plug is in the closed position, the first protrusion of the exterior surface of the valve plug engages the first inwardly extending annular protrusion, and the second protrusion of the exterior surface of the valve plug engages the second inwardly extending annular protrusion;wherein when the valve plug is in the fully open position, the first protrusion of the exterior surface of the valve plug is disengaged from the first inwardly extending annular protrusion, and the second protrusion of the exterior surface of the valve plug is disengaged from the second inwardly extending annular protrusion; andwherein the notch sets and the recesses are arranged to form a plurality of turns in the fluid flow path when the valve plug is shifted toward the open position. 2. The flow control valve of claim 1, wherein the first annular recess is disposed adjacent the valve seat and the second annular recess is spaced away from the valve seat. 3. The flow control valve of claim 1, wherein the first notch set defines a first bevel angle and the second notch set defines a second bevel angle, the second bevel angle being greater than the first bevel angle. 4. The flow control valve of claim 3, wherein the first notch set defines a first bevel angle between an upper face of each of the first notches and the longitudinal axis, the second notch set defines a second bevel angle between an upper face of each of the second notches and the longitudinal axis, the second bevel angles being greater than the first bevel angles. 5. The flow control valve of claim 1, wherein the first and second protrusions are sized and arranged to engage the first and second inwardly extending annular protrusions, respectively, of the cage over a portion of an overall stroke length of the valve plug to provide a fluid flow dead band. 6. The flow control valve of claim 1, wherein in the flowing direction of the fluid flow path, each of the annular recesses defines an expanding space that is larger than the preceding annular recesses. 7. The flow control valve of claim 1, wherein each notch of the second set of the notches has a bevel angle larger than that of each notch of the first set of the notches. 8. The flow control valve of claim 7, wherein the bevel angle of each notch of the first set of notches and each notch of the second set of notches is obtuse. 9. The flow control valve of claim 1, wherein the first and second notches of each of the first and second notch sets have faces parallel to one another and parallel to the longitudinal axis. 10. The flow control valve of claim 1, wherein the exterior surface of the valve plug further includes a third protrusion adjacent the third notch set and downstream of the first and second protrusions; andwherein, when the valve plug is in the closed position, the third protrusion is arranged to engage an inner surface of the cage. 11. The flow control valve of claim 10, wherein, when the valve plug is in the closed position, each of the first and second inwardly extending protrusions and the first and second protrusions of the valve plug form a dead band area. 12. The flow control valve of claim 10, wherein when the valve plug is in the closed position, the first notch set is substantially aligned with the first annular recess, the second notch is substantially aligned with the second annular recess, and the third notch is substantially aligned with the third annular recess. 13. The flow control valve of claim 10, wherein when the valve plug is in the closed position, the third protrusion of the exterior surface of the valve plug sealingly engages the apertures of the cage. 14. The flow control valve of claim 1, wherein when the valve plug is in the closed position, the first notch set is substantially aligned with the first annular recess, the second notch is substantially aligned with the second annular recess, and the third notch is substantially aligned with the third annular recess. 15. The flow control valve of claim 1, wherein when the valve plug is in the closed position, an entirety of the exterior surface of the valve plug engages the inner surface of the cage. 16. The flow control valve of claim 1, wherein each of the plurality of apertures is formed through the cage along an axis that is perpendicular to the longitudinal axis. 17. The flow control valve of claim 1, further comprising: a valve stem coupled to the valve plug,the valve stem extending through the bonnet assembly. 18. The flow control valve of claim 17, wherein the valve stem has a lower end secured to the valve plug and an upper end, opposite the lower end, disposed outside of the bonnet assembly and the valve body. 19. The flow control valve of claim 1, wherein the inlet and the outlet are oriented along an axis that is perpendicular to the longitudinal axis. 20. A flow control valve, comprising: a valve body having an inlet, an outlet, and defining a fluid flow path extending between the inlet and the outlet;a valve seat disposed within the valve body;a valve plug disposed in the valve body, the valve plug defining a longitudinal axis and arranged to shift along the longitudinal axis between a fully open position and a closed position;a bonnet assembly coupled to the valve body;a valve stem extending through the bonnet assembly, the valve stem having a lower end secured to the valve plug and an upper end, opposite the lower end, disposed outside of the bonnet assembly and the valve body;an exterior surface of the valve plug having a plurality of notch sets, each notch set spaced apart from an adjacent notch set along the longitudinal axis, the plurality of notch sets comprising at least a first notch set, a second notch set, and a third notch set, the second notch set being rotated about the longitudinal axis of the plug relative to the first notch set, each of the first, second, and third notch sets including first and second notches disposed parallel to one another; anda cage disposed within the valve body, the cage surrounding the valve plug and having a first end seated against the valve seat to retain the valve seat in the valve body and a second end, opposite the first end, seated against the bonnet assembly, an interior of the cage including a plurality of annular recesses, the annular recesses spaced apart along the longitudinal axis and including a first annular recess defining a first volume, a second annular recess downstream of the first annular recess and defining a second volume that is greater than the first volume, and a third annular recess downstream of the second annular recess and defining a third volume that is greater than the second volume, the cage including a plurality of apertures forming a portion of the fluid flow path, and the cage including a first inwardly extending annular protrusion located between the first annular recess and the second annular recess, and a second inwardly extending annular protrusion located between the second annular recess and the third annular recess, the second inwardly extending annular protrusion having a radius substantially equal to a radius of the first inwardly extending annular protrusion;wherein a radius of an outer surface of the third annular recess is larger than a radius of an outer surface of the second annular recess, and the radius of the outer surface of the second annular recess is larger than a radius of an outer surface of the first annular recess;wherein the exterior surface of the valve plug includes a first protrusion between the first and second notch sets, and a second protrusion between the second and third notch sets;wherein when the valve plug is in the closed position, the first protrusion of the exterior surface of the valve plug engages the first inwardly extending annular protrusion, and the second protrusion of the exterior surface of the valve plug engages the second inwardly extending annular protrusion;wherein when the valve plug is in the fully open position, the first protrusion of the exterior surface of the valve plug is disengaged from the first inwardly extending annular protrusion, and the second protrusion of the exterior surface of the valve plug is disengaged from the second inwardly extending annular protrusion; andwherein the notch sets and the recesses are arranged to form a plurality of turns in the fluid flow path when the valve plug is shifted toward the open position.