Abstract: A drag reduction device secured to each of the top rails of a wheeled cargo van body or container which covers the recess formed in the outer side of the top rail.

Abstract: A mounting assembly for securing a bracket, to which a side skirt may be attached to a frame of a wheeled container chassis semi-trailer. The assembly includes a support and at least one resilient securement member. A proximal end of the support may be mounted in a substantially outwardly transverse horizontal orientation to one side of the semi-trailer; a distal end secures the bracket in a position to maintain the side skirt in a substantially vertical configuration between the frame and a ground surface on which the semi-trailer is situated and substantially in line with the wheels on the one side of the semi-trailer. The securement members mount the support to the frame. The support may move relative to the frame in response to an applied force and is biased to return and maintain the support in the substantially outwardly transverse horizontal orientation when the force is removed.

Abstract: The present invention is directed to a device for reducing drag on a vehicle. The device comprises a sheet of material and a plurality of depressions/elevations. The sheet of material having a base portion and an apex extending from the base portion.

Abstract: A vehicle side fairing having a first fairing panel fixedly secured to the underside of a trailer box, and a second fairing panel slidable mounted to plural cylindrical bars mounted on the underside of the trailer box in a fore and aft orientation. The second fairing panel is secured to the wheel set with a mechanical fastener that selectively joins and releases the second fairing panel and the wheel set.

Abstract: A system for managing airflow around the wheels of a vehicle, and in particular, around dual wheels of trailers typically pulled by Class 8 trucks, is provided. In certain embodiments, a wedge-shaped airflow diverter is provided that reduces drag on the wheels of a trailer pulled by a truck, and thereby improves the overall efficiency of the truck-trailer combination with regard to aerodynamics and fuel efficiency.

Abstract: A drag reduction assembly is mountable on a vehicle or other object experiencing relative motion in a fluid environment. The assembly comprises at least one shell of flexible web material movable between non-deployed and deployed positions. In addition, the shell is configured to provide at least an outer flow surface in the deployed position (e.g., a curved surface) to reduce the effects of aerodynamic drag. In many embodiments, intake apertures such as NACA ducts may be provided to allow a portion of the flowing fluid into the shell. The flowing fluid will cause the shell to assume automatically the deployed position. In cases where fluid enters the shell, an exit location is provided in the shell to permit such fluid to exit and rejoin fluid on the outside.

Abstract: The invention is a drag reducer for use in commercial semitrailers, trucks, cargo containers, rail cars, and the like. The drag reducer takes the form of tubing that collects fast moving air from under the trailer while the truck is at speed and forces it through tubing up and around the sides of the trailer's rear door. Small holes facing outward from the vertical tubing eject the air in a direction perpendicular to the direction of motion, thereby reducing overall drag on the trailer.

Abstract: A side skirt system for reducing drag on a trailer includes a side skirt wall configured to be coupled to one side of the trailer to extend below a side wall of the trailer along a length of the trailer. A mounting bracket assembly of the system is coupled to the side skirt wall and is configured to be coupled to a floor assembly of the trailer. The mounting bracket assembly is configured to tilt laterally outwardly and laterally inwardly with respect to a generally vertical axis parallel to the side wall of the trailer.

Abstract: A vehicle trailer is provided. The vehicle trailer includes one or more side wall fairings having a a front edge and a rear edge and having a height that extends from the floor to the roof. leading edge and trailing edge. Each side wall fairing has an upward incline and downward incline. The side wall fairings can be utilized with one or more other components that are described herein.

Abstract: An improved method and device for the reduction of aerodynamic drag and for improved performance of vehicles by increasing the pressure on the base of the trailing vehicle or vehicle component by controlling the boundary layer as it exists the vehicle trailing edge. The subject invention consists of a multiple panels located near the base area of a bluff base vehicle. The flow control objectives are accomplished by positioning minimally sized panels comprising the invention in close proximity to the side and top surfaces of the vehicle, where the leading edge of each panel is positioned in close proximity to the trailing edge of the vehicle. The side panels comprising the invention are laterally positioned outboard of the side surface of the vehicle. The top panels are vertically positioned above the top surface of the vehicle.

Abstract: The invention relates to an apparatus for mounting an aerodynamic add-on device to a transport vehicle. decreasing aerodynamic drag, improving stability, and reducing road spray of a transport vehicle. The apparatus employs support posts and support cables to mount the aerodynamic add-on device, such as a trailer skirt, to a transport trailer. The apparatus and method facilitate the installation of the aerodynamic add-on device by one person and allow for the use of lighter, more cost-effective materials in the manufacture of the aerodynamic add-on device.

Abstract: An air deflection system has a first skirt assembly mounted to a vehicle at a first side of a cargo container thereon. The first skirt assembly has at least one upper panel and at least one lower panel each extending in a front-to-rear direction and having laterally facing air deflecting surfaces. The at least one lower panel is constructed to be more readily bendable than the at least one upper panel. The air deflection system further has a plurality of support braces extending angularly between: a) the underside of a vehicle to which the skirt assembly is operatively mounted; and b) the at least one upper panel to support the skit assembly on an associated vehicle and reinforce the at least one upper panel.

Abstract: This invention provides an aerodynamic structure attached to the rear cargo body, having doors that swing open, or a single, full-width door, which rolls upwardly. The embodiments provide an aerodynamic structure attached to the rear in a manner that would obscure access to the door(s) in a deployed position, in which the structure reduces drag, yet enables access to the door(s) in a folded position. The folded position allows access to the rear for loading and unloading, and in the case of swinging, hinged doors, allows the doors to be folded through a 270-degree arc, with a minimal sideways projection. The various embodiments also enable relatively rapid and easy transition between the folded position and the deployed position using actuators and/or linkages that tie the folding and deployment of panels of the structure together. This allows selective folding and deployment of the structure without undue effort or strength.

Abstract: This invention provides a foldable/retractable and unfoldable/deployable, rearwardly tapered aerodynamic assembly for use on the rear trailer bodies and other vehicles that accommodate dual swing-out doors. The aerodynamic assembly includes a right half mounted on the right hand door and a left half mounted on a left hand door. Each half is constructed with a side panel, top panel and bottom panel, which each form half of an overall tapered box when deployed on the rear of the vehicle, the bottom panels and top panels being sealed together at a pair of overlapping weather seals along the centerline.

Abstract: A resilient strut adapted to secure an aerodynamic skirt to a trailer is presented, the aerodynamic skirt being adapted to be substantially longitudinally mounted to the trailer, the resilient strut being adapted to sustain an elastic deformation when a load is applied to the resilient strut when the skirt panel moves away from the configuration improving air routing about the trailer and to self-recover its original shape when the load is removed, the resilient strut including an uneven longitudinal shape adapted to change a stiffness of the resilient strut. An aerodynamic skirt assembly including resilient struts and a kit thereof are also contemplated in the present invention.

Abstract: An apparatus for reducing the drag of a trailer is provided. The apparatus can further include a pair of fairings configured to be positioned on opposite sides of a trailer in front of wheels on the bottom of a trailer, a pair of fairings configured to be positioned on opposite sides of a trailer behind the wheels on the bottom of a trailer, with both pairs of fairings placed and shaped to direct the air smoothly around the wheels and tires and through the center of the trailer. The apparatus can also include a ramp in front of the suspension components, aerodynamically shaped wings on the axles, and a rear diffuser, such components configured to direct air smoothly between the trailer suspension and the ground. The directed high energy air from the apparatus results in a reduced trailer base drag.

Abstract: The invention comprises a set of tubular inflatable bags mounted to the underside of a transport trailer along its lower edge in front of the rear wheel assembly. The bags are pressurized by ram air inflation upon forward motion of the trailer, such that they prevent air from entering the rear wheel assembly and thereby reduce aerodynamic drag. The outer exposed sides of the bags are vertically and horizontally straightened and stiffened by horizontal ribs which are anchored by cords to the trailer. The apparatus gives way without stress when unpressurized at slow speed and when docking to avoid damage.

Abstract: A method and device for reducing aerodynamic drag and improving performance and stability of ground vehicles by reducing the mass and velocity of the flow passing under a vehicle is described. The device is suitable for use with a truck and trailer system but may also be applied to a single unit truck system or any combination vehicle that includes a motorized lead vehicle pulling one or more non-motorized vehicles. The device includes right forward and aft panels configured to attach to a lower right portion of the vehicle such that they extend downward from the undercarriage region. The device further includes left forward and aft panels configured to attach to a lower left portion of the vehicle such that they extend downward from the undercarriage region. The device minimizes and controls airflow entering the undercarriage region from the front and sides of the ground vehicle.

Abstract: A drag reduction device for a trailer comprising a generally U-shaped upstanding wall means having a floor secured to the lower end thereof. The device is secured to the underside of the trailer so that the rearward end of the device is positioned just forwardly of the forward end of the rear wheel assembly of the trailer. In one embodiment, the device is coupled to the slider axle of the trailer so that the device is moved forwardly and rearwardly with the slider axle.

Abstract: An air deflection apparatus for reduction of vehicular air drag comprises at least one air deflection element coupled to a rear portion of the vehicle but not to the rear-facing surface of the vehicle, the vehicle having no rear-facing door(s). The air deflection elements are displaceable, preferably in unison, between a retracted position and at least one deployed position, and may be deployed and retracted manually, or remotely with powered assistance, or under microprocessor control. The air deflection elements are preferably arranged above, below and on either side of the rear-facing surface of the vehicle. Vehicles equipped with the apparatus, and methods of reducing vehicular air drag using the apparatus, are also disclosed.

Abstract: A system of aerodynamic skirt fairings designed to minimize aerodynamic drag and maintain smoother air flow over highway-operated long-haul tractor-trailer vehicles.

Abstract: A resilient strut adapted to secure an aerodynamic skirt to a trailer is provided, the aerodynamic skirt comprising a skirt panel including a front portion and a rear portion adapted to be substantially longitudinally mounted to the trailer, the front portion being adapted to be mounted toward a forward portion of the trailer and the rear portion being adapted to be mounted toward a rear portion of the trailer in an aerodynamic configuration, the skirt panel being adapted to move away from the aerodynamic configuration when contacting a foreign object and to recover its aerodynamic configuration thereafter, the resilient strut adapted to sustain an elastic deformation allowing the resilient strut to bend when a load is applied to the resilient strut when the skirt panel moves away from the aerodynamic configuration and to self-recover its original shape when the load is removed. A kit of resilient struts, a method thereof and a trailer equipped with same are also provided.

Abstract: The present invention is directed to a device for reducing drag on a vehicle. The device comprises a sheet of material and a plurality of depressions/elevations. The sheet of material having a base portion and an apex extending from the base portion.

Abstract: The disclosure comprises a pair of inflatable substantially inelastic lobes. A single lobe can be mounted on each of the rear trailer doors of a standard tractor-trailer unit. Each lobe can be inflated or deployed to provide an aerodynamic substantially planar contour extending rearwardly of the rear end of the vehicle. The aerodynamic shape of the lobes with stable and substantially planar external surfaces for air to pass over can be created by a series of internal cords and flag sets extending substantially horizontally and vertically in an array from one side of the lobe to the other side of each lobe. When the lobes are deflated, the trailer doors can be opened and latched to the side of the trailer in a conventional manner.

Abstract: The present disclosure provides an airstream deflector fairing comprising a front or fore end having a leading edge attached to an undercarriage of a wheeled vehicle. The fairing further includes a rear or aft end and a lower bottom portion of the fairing includes a panel facing the ground at an angle which in turn directs an airstream passing thereunder downwardly and outwardly relative to the undercarriage and substantially at an area below a trailing axle downstream from the fairing. The lower bottom panel includes an angle of declination relative to the undercarriage from about 12 degrees to about 24 degrees.

Abstract: An aerodynamic drag reducing apparatus for use with vehicles having downstream surfaces that are not streamlined. The apparatus includes folding panels that extend rearward for use in a drag reducing configuration and collapse for use in a space saving configuration.

Abstract: A mounting assembly is provided for coupling an air drag reduction system to a trailer to be transported by an over-the-road tractor. The mounting assembly includes a frame to be suspended adjacent to an underside of the trailer, and a receiver supported adjacent to a first end of the frame. The receiver is adapted to cooperate with a portion of a structural member of the trailer when installed. An adjustable fastening mechanism is separated a suitable distance from the receiver along the frame to be positioned adjacent to a second portion of the structural member opposite the portion that cooperates with the receiver. The adjustable fastening mechanism includes a cam that is adjustable to make contact with the second portion of the structural member of the trailer, thereby interfering with separation of the receiver from the portion of the structural member of the trailer with which the receiver cooperates.

Abstract: A vehicle trailer is provided. The vehicle trailer includes a pair of side wall fairings having a leading edge and trailing edge. Each side wall fairing is positioned on a different wall from the other adjacent to the rear edges of each of the walls such that the leading edge of each side wall fairing contacts the wall and the trailing edge of each side wall fairing does not contact the wall. Each side wall fairing has an upward incline and downward incline. The side wall fairings can be utilized with one or more other components that are described herein.

Abstract: A side skirt system for reducing drag on a trailer includes a side skirt wall configured to be coupled to one side of the trailer to extend below a side wall of the trailer along a length of the trailer. A mounting bracket assembly of the system is coupled to the side skirt wall and is configured to be coupled to a floor assembly of the trailer. The mounting bracket assembly is configured to tilt laterally outwardly and laterally inwardly with respect to a generally vertical axis parallel to the side wall of the trailer.

Abstract: An air deflection apparatus for reduction of vehicular air drag comprises at least one air deflection element coupled to the rear-facing surface of the vehicle but not to any rear door which the vehicle may have. The air deflection elements are displaceable, preferably in unison, between a retracted position and at least one deployed position, and may be deployed and retracted manually, or remotely with powered assistance, or under microprocessor control. Each air deflection element is coupled to a respective portion of the rear-facing surface of the vehicle that is arranged above, below or on either side of the rear door, and each air deflection element is associated with a frame in which it is substantially disposed when in the retracted position. Vehicles equipped with the apparatus, and methods of reducing vehicular air drag using the apparatus, are also disclosed.

Abstract: An aerodynamic panel assembly with surface macrostructure is provided for a land vehicle. The panel assembly includes a first plurality of slats each having a longitudinal length greater than its width, and a second plurality of slats each having a longitudinal length greater than its width. The first and second plurality of slats are interwoven, thereby providing significant structural strength while increasing the versatility of the panel assembly to be used on various types of vehicles. Various types of attachment mechanisms are provided for attaching a panel assembly to the vehicle.

Abstract: An air foil structure attachable to a semi-trailer of a tractor-trailer rig is herein disclosed, intended to produce various aerodynamic affects such as reducing turbulence, creating lift, and creating down force. The air foil apparatus is mounted to a trailer chassis and extends upwardly to a height approximately that of the cab portion of the tractor. The air foil apparatus comprises a stationary pedestal structure having a pair of attached vertical hydraulic cylinders which connect to the air foil wing portion. The hydraulic cylinders enable height adjustment of the air foil wing by an operator during transit via a remote controller within the cab area. The angle of the wing may be manually adjusted and secured in position via pivoting trunnion mounts. The current height of the air foil wing is displayed upon the remote controller allowing an operator to effectively lower the air foil wing during transit when approaching height-restricting objects.

Abstract: The present invention relates to a device for minimizing the aerodynamic drag that results when tractors, trailers, rigid trucks, lorries, and other vehicles are moving through air. In particular the invention relates to a plate-shaped flow conductor having a front edge, a lower edge, a rear edge and an upper edge. The flow conductor is mountable along the upper edge in a substantially vertical position to a body portion of a pulled vehicle of a vehicle combination of at least two pivotally connected vehicles. When mounted the flow conductor extends at least partially under the body portion in a longitudinal direction of the pulled vehicle. Characteristic for the flow conductor according to the invention is that the flow conductor comprises locally in conjunction with the front edge a thickened portion, which has a streamlined outer contour in a cross section transversally to the front edge.

Abstract: A vehicle drag reducer. Implementations may include an upper portion attached or integrated within a top of a vehicle and having four air ducts configured to receive air from a front end of the top of the vehicle and transmit it towards a rear end of the top of the vehicle; and two back portions located at a back of the vehicle each including two air ducts and six exit ports, each back portion being configured to receive air from two of the four air ducts of the upper portion and exit the air from the back portion through the six exit ports. The upper portion may include one of a U joint, a Z joint, and an L joint connecting the upper portion to the vehicle. The back portion may include one of a U joint and a Z joint. Methods of reducing vehicle drag are disclosed.

Abstract: A diversion apparatus, adapted to be arranged at the tail end of a vehicle, includes a diversion assembly and a slide mechanism. The inside of the diversion assembly is hollow and formed an airflow channel. The slide mechanism is arranged fixedly at the tail end of the vehicle body and has slot tracks extended along the lengthwise direction of the tail end of the vehicle body. The diversion assembly arranged on the slot tracks can be moved and slid thereon. Therefore, the diversion assembly can be slid on the slot tracks and moved toward the front of the vehicle body to prevent the opening of the door leaf of the vehicle from being hindered by the diversion assembly.

Abstract: A vehicle's drag-reducing apparatus, adapted to be arranged at the tail end of a vehicle, includes a diversion body positioned at the lateral surface of the vehicle and a rotary piece. The airflow flowing across the lateral surface of the vehicle body is guided to the tail end of the vehicle by the diversion body. One end of the rotary piece is pivoted to the vehicle body, while another end is fixed to the diversion body. Rotating the rotary piece will bring along the diversion body to be abutted against the tail end of the vehicle body or to be moved to the position far away from the tail end of the vehicle body. Thereby, the opening of the rear door at the tail end of the vehicle won't be hindered, even where there is an arrangement of the diversion body.

Abstract: An air deflection apparatus for reduction of vehicular air drag comprises at least one air deflection element coupled to the rear-facing surface of the vehicle but not to any rear door which the vehicle may have. The air deflection elements are displaceable, preferably in unison, between a retracted position and at least one deployed position, and may be deployed and retracted manually, or remotely with powered assistance, or under microprocessor control. Each air deflection element is coupled to a respective portion of the rear-facing surface of the vehicle that is arranged above, below or on either side of the rear door, and each air deflection element is associated with a frame in which it is substantially disposed when in the retracted position. Vehicles equipped with the apparatus, and methods of reducing vehicular air drag using the apparatus, are also disclosed.

Abstract: A semi-trailer has an elongate bed with skirts depending there from adjacent to either side of the bed. The skirts are laterally flexible and can also flex vertically to overcome obstacles and objects. Elongate plates are mounted at one end to the underside of the bed adjacent one or the other of the depending skirts. The elongate plates extend inwardly beneath the bed and then diagonally downwardly to the adjacent skirt displaced below the attachment to the bed. Leaf springs are superimposed on the underside of the inward extensions of the elongate plates to preload the plates toward the bed of the semi-trailer. The skirts extend from landing leg assemblies on the semi-trailer to longitudinally adjacent the forward outboard tires of the wheel assemblies.

Abstract: A device for reducing vehicle aerodynamic resistance for vehicles having a generally rectangular body disposed above rear wheels, comprising a plurality of flexible opposing flat sheets and a plurality flexible load bearing struts attached to the bottom of the rectangular body, that bend to resist damage when struck by the ground, and guide airflow around the rear wheels of the vehicle to reduce its aerodynamic resistance when moving.

Abstract: A side skirt system for reducing drag on a trailer includes a side skirt wall configured to be coupled to one side of the trailer to extend below a side wall of the trailer along a length of the trailer. A mounting bracket assembly of the system is coupled to the side skirt wall and is configured to be coupled to a floor assembly of the trailer. The mounting bracket assembly is configured to tilt laterally outwardly and laterally inwardly with respect to a generally vertical axis parallel to the side wall of the trailer.

Abstract: A drag reducing apparatus is hingedly mounted to the rear of a truck or trailer vehicle so that the apparatus can be pivoted clear of the rear doors of the vehicle. The apparatus includes a hinge assembly that allows the apparatus to open substantially flat against the side of the vehicle so as not to impede the full movement of the doors. The apparatus includes an arrangement of connected panels that are initially folded flat against the back of the vehicle but automatically open to a drag reducing configuration at a sufficient vehicle speed. The connected panels are further configured so that the force of gravity automatically returns the panels to their initial folded configuration when the vehicle speed falls below a threshold. The apparatus incorporates a modular construction that allows replacement of individual panel sections. The mounting frame is constructed to augment the drag reduction characteristics of the apparatus.

Abstract: This invention provides an aerodynamic structure attached to the rear cargo body, having doors that swing open, or a single, full-width door, which rolls upwardly. The embodiments provide an aerodynamic structure attached to the rear in a manner that would obscure access to the door(s) in a deployed position, in which the structure reduces drag, yet enables access to the door(s) in a folded position. The folded position allows access to the rear for loading and unloading, and in the case of swinging, hinged doors, allows the doors to be folded through a 270-degree arc, with a minimal sideways projection. The various embodiments also enable relatively rapid and easy transition between the folded position and the deployed position using actuators and/or linkages that tie the folding and deployment of panels of the structure together. This allows selective folding and deployment of the structure without undue effort or strength.

Abstract: Inflatable drag reduction device (20, 22) for vehicles, comprising an inflatable bag of a durable, flexible and generally air-tight material, arranged for attachment to the vehicle. The bag comprises of a plurality of conjoined panels and an air duct arranged for allowing the inflow of air into the interior of the bag when the vehicle is in motion. The bag further comprises internal ribs of a generally non-elastic material attached to the internal surfaces of the panels, that assist the bag in assuming a predetermined geometrical shape in which the panels are prevented from billowing outward.

Abstract: A side underride cable system configured to be coupled to a trailer includes a front mounting bracket assembly configured to be coupled to the trailer, a rear mounting bracket assembly configured to be coupled to the trailer at a location spaced-apart from the front mounting racket assembly, and a plurality of cables configured to extend at least partially along a length of each side of the trailer between the front mounting bracket assembly and the rear mounting bracket assembly.

Abstract: A self-coiling dent guard for protecting vehicles and other objects from damage caused by unwanted collisions is disclosed. The guard is comprised of a main body adapted to absorb the impact of colliding objects. A bistable spring strip is integrated within the main body of the guard, thus giving the guard its self-coiling properties. When not in use, a user may cause the guard to coil so as to be easily stored. A magnetic strip is attached to the length of the main body such that the guard may be removably attached to a vehicle or other object. A layer of felt covering the bottom of the guard protects the vehicle from being scratched when the guard is applied or removed.

Abstract: An air deflection system has a first skirt assembly mounted to a vehicle at a first side of a cargo container thereon. The first skirt assembly has at least one upper panel and at least one lower panel each extending in a front-to-rear direction and having laterally facing air deflecting surfaces. The at least one lower panel is constructed to be more readily bendable than the at least one upper panel. The air deflection system further has a plurality of support braces extending angularly between: a) the underside of a vehicle to which the skirt assembly is operatively mounted; and b) the at least one upper panel to support the skit assembly on an associated vehicle and reinforce the at least one upper panel.

Abstract: A drag reducing device utilizing sealed aft cavities designed to limit interference with existing truck and trailer designs is described. The invention comprises one or more sealed aft cavities affixed to the rear of a traditional commercial straight truck or trailer, or any other blunt (or mostly blunt) aft faced vehicle. A means is provided by which the device is stowed to allow normal operation of the straight truck, trailer or vehicle. Drag is reduced by the streamlining of the rear of the vehicle, postponing and narrowing the flow separation downstream of the trailing edge as well as increasing the pressure on the back of the vehicle with the open to the rear, sealed aft cavity. The concept described focuses on the utilization of (a) sealed aft cavity(ies) to limit the effects of blunt body drag and the means for attachment and stowage for loading and unloading cargo.

Abstract: The invention comprises a set of tubular inflatable bags mounted to the underside of a transport trailer along its lower edge in front of the rear wheel assembly. The bags are pressurized by ram air inflation upon forward motion of the trailer, such that they prevent air from entering the rear wheel assembly and thereby reduce aerodynamic drag. The outer exposed sides of the bags are vertically and horizontally straightened and stiffened by horizontal ribs which are anchored by cords to the trailer. The apparatus gives way without stress when unpressurized at slow speed and when docking to avoid damage.

Abstract: A system of aerodynamic skirt fairings designed to minimize aerodynamic drag and maintain smoother air flow over highway-operated long-haul tractor-trailer vehicles.

Abstract: An air deflection apparatus for reduction of vehicular air drag comprises at least one air deflection element coupled to a rear portion of the vehicle but not to the rear-facing surface of the vehicle or, in other embodiments, at least one air deflection element coupled to a rear portion of the vehicle but not to any rear door which the vehicle may have. Each air deflection element comprises a housing member and an elongating member, and the elongating members are displaceable, preferably in unison, between a retracted position and at least one deployed position. The elongating members may be deployed and retracted manually, or remotely with powered assistance, or under microprocessor control. Vehicles equipped with the apparatus, and methods of reducing vehicular air drag using the apparatus, are also disclosed.