The present disclosure relates to duct fitting apparatus. More particularly, exemplary embodiments are provided for duct fitting apparatus for and methods of reducing pressure loss, as a result of turbulence and boundary layer separation present within a bent or diverging duct.
As of 2011, building operations generated approximately 54% of the world's carbon dioxide emissions: 45% from occupancy loads and 55% from mechanically driven Heating, Ventilating and Air Conditioning (HVAC) devices. It is inherent that fans consume nearly 23% of the electricity in buildings and so are excellent candidates for efficiency optimization when seeking opportunities to reduce the carbon footprint and operating cost in the built environment. Recent policy, including LEED® (Leadership in Energy & Environmental Design) initiatives, has created incentives for building owners and operators to mandate increasingly efficient HVAC configurations. While many active HVAC system components, such as blowers, digital controllers and convection devices, have witnessed significant technological strides, many critical passive technologies remain largely inadequate. For the past half-century, traditional square, oval and circular ductwork components have assumed a ubiquitous presence throughout the building industry. As both the single largest intermediary between the building environment system and the occupant, these nondescript conduits also provide the single largest source of operational inefficiency. For the past half-century, traditional square, oval and circular duct systems have become ubiquitous agents throughout the building industry. Efforts to address inefficiencies in blower operation and diffuser design have resulted in a myriad of solutions each focused on the ductwork which unites them.
Akin to all viscous fluids enclosed within a pipe, conditioned air exerts shear stresses upon the walls of ducts which transport its medium. These resistance forces manifest as friction loss and dynamic head loss (the reduction in duct pressure due to bends, elbows, joints, valves, etc., or other reductions in the diameter of the duct or change in the air flow pattern) dynamic or minor head losses are a common misnomer because in many cases these losses are more important and far more extreme than the losses due to surface friction within HVAC systems. When flow (air or other fluid or liquid) enters a bent or diverging duct fitting, the faster moving laminas near the center axis get displaced outward due to inertial forces. The result is a migration of flow from the inner toward the outer radius of the curvature. This migration subjugates the primary flow to a collection of vortical regions along both the inner and outer duct walls along the bent or diverging portion. Helical in nature, these vortical regions are comprised of relatively low fluid velocities which induce restrictive conveyance patterns superimposed upon the primary direction of flow. As a result, mechanical fans must compensate for these pressure losses through decreased efficiency and increased operating costs.
For a forced air system (such as a fan duct system), pressure loss is the loss of total pressure in a duct fitting caused by dynamic and frictional forces of the duct fitting measured over the entire path length. The equation is represented as Total Pressure Loss (ΔPt)=(Static Pressure (ΔPs)+Velocity Pressure (ΔPv)). It is a rule that only total pressure in duct fittings always drops in the direction of flow; static or velocity pressures alone do not follow this rule. In residential, commercial and industrial HVAC configurations the maximum design air velocity is determined according to space, energy, control and operational considerations. In general, as the design air velocity increases there is an exponential increase in the total pressure loss for a fitting located along the critical path. To reduce pressure drop caused by turbulence at higher design velocities, typical contemporary design practice has commonly resorted to oversizing duct components to inversely reduce dynamic loss. This solution may have several drawbacks. Oversizing the duct work can dramatically increase labor and material cost associated with the overall system. In most circumstances, oversizing the ductwork is a characteristic of a poorly designed or executed duct layout. Additionally, oversized duct elements may require significantly larger ceiling plenums and vertical shafts within the building envelope. The consequence is a need for superfluous headroom. This limits the net program efficiency within a building and drastically increases capital cost associated with larger structural, cladding and mechanical components. Given these circumstances, there is a need to improve contemporary HVAC fitting design, construction and operation.
It would be desirable to have a duct fitting that reduces the associated total pressure loss (ΔPt) in excess of that produced by a traditional duct fitting.
It would be desirable to have an efficient duct fitting configuration that reduces energy consumption (measured in kWh) of mechanically driven ventilation fans.
It would be desirable to have a duct fitting configuration having reduced associated total pressure loss, thereby diminishing the need to oversize equipment.
In exemplary embodiments, a low air flow resistance HVAC duct fitting is provided with a plurality of aerodynamic vortex generating treatments formed in or associated with a duct wall containing a differential aspect ratio. In exemplary embodiments, the treatment may be a dimple or other depression. In exemplary embodiments, a moldable or ductile material is provided that augments the accommodating duct profile and surface condition throughout the diverging duct fitting to mitigate inertial forces induced as a result of axial deformation along the fluid conveying corridor.
In exemplary embodiments, provided are one or more traditionally circular inlets and outlets for connection by collar, flange, weld or other means to adjacent ducts in the system. At the axial apex of divergence that forms the elbow or equivalent fitting, the transverse cross-section of the duct may substantially have an elliptically inclined cross-section profile with the ellipse being equal to the circular area of the proceeding inlet(s) or outlet(s). The physical geometry of the elbow is thus complementary to the resulting differential aspect-ratio achievable relative to the dimension of the supply conduit while maintaining a uniform cross-sectional area along the extent of the bent or diverging portion. The profile can subsequently host an agglomeration of surface treatments along the internal surface of the smallest radius of curvature.
The drawings disclose exemplary embodiments in which like reference characters designate the same or similar parts throughout the Figures of which:
A fully developed air flow with a corresponding Reynolds number in excess of about Re 4000 is assumed to be turbulent. While air is discussed herein, it is to be understood that any gas, liquid, semi-liquid, fluid, particulate material, or other flowable material, or mixtures of two or more of the foregoing, is intended to be included, From inlet to outlet, a continually flowing gas or fluid is conveyed through a bent or diverging fitting element of a ducting system. As air flow enters each 90° duct fitting, the faster moving laminas near the center axis get displaced outward due to inertial forces, creating zones of turbulence which, in some cases, invert the direction of flow, significantly increasing the systems accumulative head loss. It is to be understood that the term “duct” includes any type of conduit.
In order to mitigate this tendency, disclosed are various exemplary embodiments of an apparatus 10 comprising a duct fitting through which continuously flows a non-free surface fluid. Flow of a “non-free surface fluid” refers to a fluid which occupies substantially the entire cross-section of the duct when flowing past a given point; for example, water flowing through a fire hose fills substantially the entire cross-sectional diameter of the hose when flowing under pressure. The duct fitting 10 has an interior wall 20 and an exterior wall 22. The duct fitting (10) contains a bent or diverging portion 24, as shown in
One function of the duct fitting 10 is to adjoin two or more ducts at a diverging angle of equal or less than 90 degrees. Diverging duct fittings i.e., elbows, angled tee/wyes, offsets, include both a small/inner (22), and large/outer (24) internal flow-engaging surface profile. These internal surface profiles comprise the primary means by which a duct fitting may divert an otherwise free flowing fluid stream. These profiles are derived as a function of the aspect ratio, or the cross-sectional relationship perpendicular to the direction of flow measured along the extent of a duct fitting. Conventional circular duct fittings typically maintain profile regularity (see
In order to better condition turbulence as a result of fluid separation and inertial forces, exemplary embodiments of the disclosed apparatus provide a graduating differential (non-uniform) aspect ratio. The differential aspect ratio is the relationship between the minor X 32 and major Y 34 axes of an elliptically inclined cross-section. A uniform aspect ratio is that of a circle; i.e., the cross-sectional diameter in the X-axis direction equals the cross-sectional diameter in the perpendicular Y-axis direction. Accordingly, the aspect ratio X:Y equals 1:1, or, a “uniform” aspect ratio. As either the X or Y axis diameter increases with respect to the other the aspect ratio of X:Y changes. For example, if a circle is flattened into an ellipse, the X-axis diameter may increase to 2 and the Y-axis diameter decrease to 0.5, then the aspect ratio of X:Y is 2:0.5 (or, simplified, 4:1). When referring to an elliptically shaped cross-section, it is not meant to imply that this section is necessarily a mathematically precise ellipse. However, in exemplary embodiments, the apparatus aspect ratio changes along at least a portion of the length of the duct from a traditionally circular 1:1 upstream aspect ratio to an elliptical aspect ratio perpendicular to the direction of flow. The extent of the aspect ratio change can be optimized in conjunction with the apex of divergence 50. The apex of divergence 50 (see
The amount of elliptical aspect ratio change of the duct profile is proportional to the fittings total diverging angle of the duct fitting. In exemplary embodiments, as illustrated in
In exemplary embodiments, the area of the elliptically shaped cross-section can remain the same as the area of the inlet 32 and outlet 34 attachment points in order to negate turbulence associated with pressure changes along the extent of the fitting. In circumstances involving asymmetrical arrangements, such as tapered 60 or conical 62 fittings (as shown in
To further increase the efficient conveyance of fluid beyond the apex of divergence 50, it can be advantageous to delay boundary layer separation following (i.e., downstream of) the point of maximum divergence 50 along the small/inner wall radii 26. Boundary layer separation occurs when a portion of the slow moving fluid closest to the interior duct wall reverses in flow direction beyond the separation line. As a result, the overall boundary layer suddenly thickens and is then forced away from the duct wall by the reversed flow at its bottom. To mitigate fluid separation, a plurality of surface treatments 70, such as, but not limited to, an array of depressions, are formed in the duct wall 20 along the internal flow engaging surface of the smaller/inner radius of curvature 26 (see
In exemplary embodiments, the extent of the surface treatment texturing may be localized along the internal flow-engaging duct wall 20 surface of the smaller/inner radius of curvature 26 relative to the fluid separation line. The fluid separation line demarcates the local point of boundary layer separation and may be identified using such means as computational fluid dynamics software (CFD) or optical means, such as, but not limited to, flow-line analysis, laser source detection or the like. Boundary layer separation generally resides at or prior (upstream) to the apex of divergence 50 in fittings employing smooth surfaces. A feature of the exemplary embodiments of the apparatus is boundary layer separation delay beyond or after (downstream) of the apex of divergence 50 along the small/inner duct wall radii 26.
In exemplary embodiments, the surface treatment 70 comprises a plurality of multi-sided converging conical depressions or “dimples”. In exemplary embodiments, the individual treatments 70 may have diameters in a range of about 0.0625-0.5 inches. In exemplary embodiments, the individual treatments 70 may have depths in a range of 0.03125-0.1875 inches relative to the internal flow engaging surface of the duct. In exemplary embodiments, each dimple-type treatment 70 can form a concave airfoil drawing fluid flow closer to the duct wall 22. In exemplary embodiments, the individual treatments 70 provides an arrangement of small oblique surfaces about 80% as deep as the local boundary layer where the converging geometry is arranged in successive rows (see
Several exemplary embodiments of symmetrical and non-symmetrical treatment shapes include those illustrated in
In exemplary embodiments, placement of the treatments 70 along the inner/small duct wall 22 should be optimized. The distance from the identified boundary layer separation point should not be too small, since the position of the separation point changes relative to duct profile and varying operating conditions. On the other hand, the distance from the separation point should not be too great, since the effect of the treatment 70 is reduced when the distance increases. In exemplary embodiments, such as is shown in
In exemplary embodiments, illustrated in
In exemplary embodiments, a first row 90 of treatments 70 can located anywhere between the apex of divergence 50 and the upstream inlet attachment plane 32. In exemplary embodiments, each row 90 of treatments 70 wraps around (i.e., follows the curvature of) a portion of the interior of the duct fitting wall 22. In exemplary embodiments, the row curvature may extend up to about 160° about the plane of maximum elliptical cross-section 50. In alternative exemplary embodiments, such row curvature may be up to about 180°. In exemplary embodiments, the row curvature may extend up to about 100° about the plane of inlet attachment 32 (see
In exemplary embodiments, at least a portion of the treatments 70 are also aligned between rows 90 as follows. As shown in
In exemplary embodiments, the distance between treatments 70 in a given row 90 can increase from the center to the edge. In exemplary embodiments, the diameter of each treatment 70 in a given row 90 can decrease from the center to the edge.
In exemplary embodiments, the arrangement of treatments 70 may form one or more patterns, including, but not limited to, tapered, uniform, offset, parallel, or other regular patterns. In exemplary embodiments, the arrangement of treatments 70 may have a random appearance. In exemplary embodiments, treatments 70 may comprise an array of uniform size, or may comprise an array of various sizes, including, but not limited to, a tightly spaced pattern of larger and smaller treatments; for example, larger dimpled depressions intermingled with smaller dimpled depressions. In exemplary embodiments, one design can incorporate combinations of two or more different forms of treatments 70 along a number of rows generally perpendicular to the direction of flow. In exemplary embodiments, the duct fitting aspect ratio and interior diameter will determine the optimum number of rows 90 and treatments 70 per row 90. Generally stated, in exemplary embodiments, the higher the aspect ratio (at a given point in the duct fitting curve) or the larger the duct fitting diameter, the greater the number of rows 90 of treatments 70. Similarly, the larger the duct fitting diameter, the greater the number of treatments 70 per row 90 that may be needed. In general, the appropriate configuration produces an advantageous reduction of fluid separation without causing a material pressure drop (ΔPt) in excess of that produced without the treatments.
The aerodynamic vortex generation phenomenon involves addressing boundary layer or sheet separation present within the duct fitting 10. This thin pressure sheet defines the perpendicular transition between more viscous and less viscous flows along the internal wall 22 of any duct experiencing axial deformation. The instability of flow is induced as faster moving fluid is drawn toward the smaller/inner radius of curvature 26 but is then displaced outward as it passes through the bent or diverging duct component. As a result, fluid flow separates from the inner radius forming large parting vortices which propagate further downstream fluctuations. Adverse pressure gradients induced between the surface interaction of the duct and transitory fluid may be limited through strategically formed treatments 70 along the duct fitting internal wall 22. The treatments 70 create a turbulent flow localized along the interior surface of the duct, propagating the agglomeration of small tip vortices which, when paired with a differential aspect ratio, maintain a marked reduction of downstream turbulence and a reduction of total pressure loss (ΔPt).
In exemplary embodiments, the treatments 70 can be protrusions extending from the wall surface. In exemplary embodiments, the protrusions can be bumps, ribs, tabs, fins, fingers, teeth, combinations of the foregoing, or the like. In exemplary embodiments, a generally smooth (i.e., not sharp-edged) protrusion may better resist clogging by dust or other particles over time. It is to be understood that discussion herein of depressions, dimples or other recesses formed in the duct wall as treatments 70 can include protrusions as well.
The graph shown in
For comparison purposes, each fitting type received a designating irreversible loss coefficient. Each coefficient or “K” value, denotes the magnitude of local pressure loss (ΔPt) within a particular fitting type The equation for “K” can be represented as:
where:
K=irreversible loss coefficient or dynamic loss coefficient
ρo=air density lb/ft3 (kg/m3)
pdy=dynamic loss
py=velocity pressure
pt=total pressure
vo=mean air velocity of air stream at reference cross section (fpm)
gc=dimensional constant, 32.2 lbm·ft/lbf·s2, for SI units, gc=1
Cf=conversion factor, for SI units Cf=1
Generally, a lower K value is more desirable as it is indicative of lower total pressure loss for a given duct fitting. An extensive collection of “K” values for common use fittings are tested and published each year through ASHREA (American Society of Heating, Refrigerating and Air-Conditioning Engineers) and other trade associations. In order to establish a collective baseline, all comparative fittings were retested. Curves (300a-e) represent the test data for each comparative fitting type. All result data verified a negligible (±4%) deviation from values published throughout the public domain.
The graph shown in
For purposes of evaluation, a selection of conventional commercially available 90° duct fittings was utilized as comparative examples of K values.
Also included in graph of
Table 1 above shows that the tested exemplary embodiment duct fitting apparatus 10 had a 30%-70% improvement in the total pressure retention (ΔPt) at the 500 CFM/2500 fpm point shown in
Exemplary embodiments of the presently disclosed apparatus can provide an overall reduction of the necessary fan energy (measured in kWh) to achieve the desired ventilation requirement (38). When utilized as a direct substitute in new or existing HVAC construction, exemplary embodiments of the presently described apparatus can significant limit the total pressure loss (Pt loss) of the entire ducting system. The accumulative life-cycle cost savings may be calculated by factoring in the total efficiency of the fan, including blades, mechanical motor and design velocity. In general, exemplary embodiments of the presently disclosed apparatus may reduce the size (tonnage) and therefore the cost premium associated with lower brake horse power (bhp) fan configurations. Improved pressure retention using exemplary embodiments of the presently disclosed apparatus can significantly reduce the operating costs associated with industrial, commercial or residential ventilation systems.
Duct products utilizing the apparatus disclosed herein may be outfitted as an industry standard, such as, but not limited to, the American Society for Testing and Materials (ASTM®), Sheet Metal and Air Conditioners' National Association (SMACNA®) and Underwriters Laboratories (UL®) compliant, and the like, as direct replacement fittings for round duct HVAC applications or applicable alternatives.
Installation of the presently disclosed apparatus can be performed in incremental stages within existing HVAC retrofit systems, or specified during the schematic design phase to maximize overall system efficiency in new construction. The use of a surface texture, such as an array of treatments as described herein, provides structural advantages to the duct fitting. Although retaining double curvature—or duct walls which contain two radii of curvatures in two planes—the average duct wall thickness remains very thin relative to the inlet 32 and outlet 34 diameters. To counteract a disposition to bend, buckle or flex during installation, the combined effect of the treatment-forming process (as described herein in exemplary embodiments) can artificially thicken the effective wall. By repetitively protruding into and/or extending out of the major plane of the air-engaging surface 26. An embossing process for forming the treatments 70 can increase the rigidity of the duct wall and enhance the resistance to flexing moments. The treatment-forming process (30) can impart a mirror-like finish on the internal duct wall as well as a unique marketable aesthetic on the external wall of the duct (36).
In exemplary embodiments, a duct fitting 10, such as, but not limited to, an elbow, tapered reducer, angled tee/wye lateral or the like, is provided in which an accommodating space is formed inside the duct to convey a fluid or gas. At the discretion of the manufacturer, any number of processes could be utilized to fabricate the duct component including but not limited to, die casting, stamping, hydroforming, tube forming, thermoforming, injection molding, 3D printing, combinations of the foregoing, and the like. The duct fitting 10 may be formed from any moldable or ductile material having suitable performance characteristics. In exemplary embodiments, the duct fitting 10 may be formed from extra deep drawing steel (EDDS) ASTM-A653, 26-20 gauge galvanized with G60 or better corrosion resistant coating.
One exemplary method of forming a duct fitting 10 may comprise utilizing a one or two part mold corresponding to the desired size, shape, application, and manufacturing process desired. A sheet metal blank is drawn into or over a forming die by the mechanical action of a press. Each forming die may account for final material shrinkage, trimming and include all critical geometric attributes of the aforementioned duct profile. Through pressure transformation, the material blank yields one-half of the corresponding duct fitting 10. Once removed from the press, the hemispherical blank is subjected to a secondary process which applies or forms the appropriate surface texture according to the desired design specifications. This secondary process of dimple creation may be accomplished independently or dependently from the formation of the duct fitting profile. Other possible methods of application include, but are not limited to, metal embossing, press forming, stamping, laser/water/plasma etching, CNC milling/lathing, incremental CNC hammer/vibration forming or other processes for treating a surface known to those skilled in the art. In the event a hydroforming process is used (such as, but not limited to, sheet, tube, bladder, bellows or otherwise), it is suitable for the texturing process to coincide dependently with the formation of hemispherical profile; i.e., both the hydroforming and texturing processes may take place jointly within the same forming die. Following forming, each hemisphere is cleaned to remove superfluous material or debris and is prepared for pairing to its symmetrical counterpart. In exemplary embodiments, a method of attachment utilizes a MID 181 Class 0/Class 1 compliant metal adhesive to maximize strength and leak prevention. Other possible methods of attachment include, but are not limited to, butt weld seam, stitch weld seam, standing seam, lock seam, or the like. Any supplementary components essential to the principal functionality including, but not limited to, additional coatings, insulation, gaskets, mounting hardware, or the like may be added at the manufacturer's or the end-user's discretion.
The duct fitting apparatus 10 as described herein in various exemplary embodiments utilizes unidirectional airflow over the surface treatments 70 particular to the physical properties of the conveyed fluid. The physical and geometric characteristics of the treatments 70 can be optimized for the desired application. In exemplary embodiments, the surface treatments 70 may be formed as part of the interior wall 22.
In exemplary embodiments, an insert 400 (shown in
In exemplary embodiments, an insert 450 may be a set of telescoping tubes or tube-like sections 460 (see
In exemplary embodiments, a duct fitting kit is provided comprising a duct fitting and an insert 400 as described herein in exemplary embodiments.
In exemplary embodiments, a duct fitting kit is provided comprising a duct fitting, an insert 400 and a fixation means 420 for attaching the insert to the duct fitting. The fixation means 420 may comprise an adhesive, screw, nut and bolt, hook and loop fastener system (with each piece having one face that has an adhesive backing), snap, tab and slot, tongue and groove, combinations of the foregoing, or the like. Alternatively, the insert 400 may be force fitted or friction fitted in the duct fitting.
In exemplary embodiments, a kit may further include a registration device that enables a user to properly align the insert in the duct fitting.
In an alternative exemplary embodiment, a duct fitting is provided having a generally circular cross-sectional shape the entire length of the duct fitting; i.e., an aspect ratio of generally 1:1. Associated with the interior wall proximate to the inner curve of the wall and between the upstream inlet end and generally the midpoint of the arc of curvature are treatments as described herein.
While all viscous fluids exert shear stresses upon the walls of conduits which convey their medium, exemplary embodiments of the apparatus disclosed herein may be applicable to alternative industrial and commercial uses, such as, but not limited to, natural gas and oil transmission, water transmission, automobile intake and exhaust systems, industrial exhaust systems, aeronautical ventilation devices, vacuum/particle collection, medical gas delivery systems, and other ducting or conduit systems for conveying gas, liquid, semi-liquid, fluid, flowable particulate matter or mixtures of at least two of the foregoing.
In another exemplary embodiment, an HVAC system is provided comprising a source of supply fluid (such as, but not limited to, air), at least one mechanism for drawing fluid through the system, ducting or conduit through which air is conveyed to a desired location, and at least one duct fitting apparatus as described herein adapted to connect to the ducting or conduit.
While the methods, equipment and systems have been described in connection with specific embodiments, it is not intended that the scope be limited to the particular embodiments set forth, as the embodiments herein are intended in all respects to be illustrative rather than restrictive.
Unless otherwise expressly stated, it is in no way intended that any method set forth herein be construed as requiring that its steps be performed in a specific order. Accordingly, where a method claim does not actually recite an order to be followed by its steps or it is not otherwise specifically stated in the claims or descriptions that the steps are to be limited to a specific order, it is no way intended that an order be inferred, in any respect.
This holds for any possible non-express basis for interpretation, including: matters of logic with respect to arrangement of steps or operational flow; plain meaning derived from grammatical organization or punctuation; the number or type of embodiments described in the specification.
As used in the specification and the appended claims, the singular forms “a,” “an” and “the” include plural referents unless the context clearly dictates otherwise.
Ranges may be expressed herein as from “about” one particular value, and/or to “about” another particular value. When such a range is expressed, another embodiment includes from the one particular value and/or to the other particular value. Similarly, when values are expressed as approximations, by use of the antecedent “about,” it will be understood that the particular value forms another embodiment. It will be further understood that the endpoints of each of the ranges are significant both in relation to the other endpoint, and independently of the other endpoint.
“Optional” or “optionally” means that the subsequently described event or circumstance may or may not occur, and that the description includes instances where said event or circumstance occurs and instances where it does not.
Throughout the description and claims of this specification, the word “comprise” and variations of the word, such as “comprising” and “comprises,” means “including but not limited to,” and is not intended to exclude, for example, other additives, components, integers or steps. “Exemplary” means “an example of” and is not intended to convey an indication of a preferred or ideal embodiment. “Such as” is not used in a restrictive sense, but for explanatory purposes.
Disclosed are components that can be used to perform the disclosed methods, equipment and systems. These and other components are disclosed herein, and it is understood that when combinations, subsets, interactions, groups, etc. of these components are disclosed that while specific reference of each various individual and collective combinations and permutation of these may not be explicitly disclosed, each is specifically contemplated and described herein, for all methods, equipment and systems. This applies to all aspects of this application including, but not limited to, steps in disclosed methods. Thus, if there are a variety of additional steps that can be performed it is understood that each of these additional steps can be performed with any specific embodiment or combination of embodiments of the disclosed methods.
Any patents, applications and publications referred to herein are incorporated by reference in their entirety.
This application claims benefit of copending U.S. provisional patent application No. 61/754,937, filed Jan. 21, 2013, entitled “Turbulence Reducing Duct Element,” the disclosure of which is incorporated by reference in its entirety herein.
Number | Date | Country | |
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61754937 | Jan 2013 | US |