The foregoing Summary, as well as the following Detailed Description, will be better understood when read in conjunction with the accompanying drawings.
The following discussion and accompanying figures disclose drag-reducing turbulence generators. Concepts related to the turbulence generators are discussed below with reference to various articles of athletic equipment, including a bicycle, a baseball bat, and a golf club, but may also be applied to a variety of other types of athletic equipment. The turbulence generators are not limited to applications relating to athletic equipment, however, and may be incorporated into a plurality of other applications, including various motorized vehicles (e.g., motorcycles, cars, trucks, airplanes, boats), non-motorized vehicles (e.g., soap-box derby cars, gliders, hang-gliders, sailboats), and columns that support bridges and piers, for example. Accordingly, concepts associated with the turbulence generators may be applied to a variety of consumer and non-consumer products to reduce drag forces.
A bicycle 10 having the general configuration of a road bike is disclosed in
As bicycle 10 moves in a forward direction (i.e., a direction represented by an arrow 11), air that flows past bicycle 10 induces a drag force upon bicycle 10 in a rearward direction (i.e., a direction represented by an arrow 12). As a velocity of bicycle 10 increases, the overall drag force upon bicycle 10 also increases in relation to the velocity increase. Accordingly, the drag force will be less at lower velocities and greater at higher velocities. Turbulence generators 30, however, decrease the overall drag force upon bicycle 10. That is, the drag force in the direction of arrow 12 will be decreased due to the action of turbulence generators 30. In comparison with a substantially-similar bicycle that does not include turbulence generators 30, bicycle 10 may have an advantage of an increase in velocity due to the action of turbulence generators 30 and the corresponding decrease in drag force.
Detailed concepts regarding turbulence generators 30 will now be discussed. A section of seat tube portion 27, which includes various turbulence generators 30, is depicted in
Turbulence generators 30 each have a V-shaped configuration formed from two segments 31 that join at a point 32. Each of points 32 are oriented to point in the general direction of leading edge 28a (i.e., into the direction of air flow). Two rows of turbulence generators 30 extend along opposite sides of seat tube portion 27. That is, a first row of turbulence generators 30 extends along one side of seat tube portion 27, as shown in
The primary purpose of turbulence generators 30 is to reduce the drag force upon bicycle 10. In general, turbulence generators 30 increase the degree of turbulence in the air flowing over seat tube portion 27, which results in a lesser total drag force. More particularly, an increase in the turbulence of the air decreases the drag coefficient associated with seat tube portion 27. For most bodies in a fluid stream, the drag coefficient associated with turbulent flow is relatively constant over a range of dynamic pressures velocities. That is, the drag coefficient for turbulent flow is effectively independent of the fluid velocity. An advantageous aspect to the configuration disclosed herein, however, is that the drag coefficient decreases as the fluid velocity increases. More particularly, the drag coefficient has been found to decrease with increasing air velocity in configurations where turbulence generators 30 are (a) located in a range of 50 degrees and 90 degrees from a leading edge of a body and (b) positioned on a substantially cylindrical body that is oriented substantially parallel to the direction of air movement. With respect to bicycle 10 and set tube portion 27, each of these aspects will be discussed in greater detail below.
Turbulence generators 30, as depicted in
Seat tube portion 27 has a substantially cylindrical configuration in areas where turbulence generators 30 are located. As utilized herein, the term “substantially cylindrical” is defined as an elongate structure having a cross-section with a circular or elliptical configuration. Seat tube portion 27 also has a substantially perpendicular orientation relative to the direction of air movement (i.e., the direction represented by arrow 12). As utilized herein, the term “substantially perpendicular” is defined as being within 30 degrees of a plane that is normal to a direction of air movement.
Turbulence generators 30 are depicted as being positioned on seat tube portion 27 of frame 21, which provides an example of a suitable location on bicycle 10 for turbulence generators 30. In addition to seat tube portion 27, turbulence generators 30 may be located on (a) a forward portion of frame 21, which receives fork 22 and handlebars 26, (b) a support for seat 25, which protrudes outward from seat tube portion 27, (c) a portion of fork 22 extending along opposite sides of wheel 23a, and (d) portions of handlebars 26, for example. Each of these locations are suitable due to their substantially perpendicular orientation relative to the direction of air movement and the substantially cylindrical configuration.
The direction defined by arrow 12 represents the direction of air movement for a majority of the components of bicycle 10. Some portions of bicycle 10 that rotate or otherwise change orientation may, however, experience other directions of air movement. For example, the spokes of wheels 23a and 23b and the cranks associated with the pedals of drive mechanism 24 may experience air movement in directions that are different than the direction defined by arrow 12. In general, however, the spokes and cranks have a substantially perpendicular orientation relative to the direction of air movement that passes over each individual spoke and crank. Accordingly, turbulence generators 30 may also be located on the spokes of wheels 23a and 23b and the cranks associated with drive mechanism 24 because of their substantially perpendicular orientation relative to the direction of air movement and the substantially cylindrical configuration in the areas where turbulence generators 30 are located.
A bicycle, such as bicycle 10, may be retrofitted to incorporate turbulence generators 30, or the bicycle may be specifically designed to incorporate turbulence generators 30. When the bicycle is retrofitted, turbulence generators 30 may be applied to any location having a substantially perpendicular orientation and a substantially cylindrical configuration. For example, turbulence generators 30 may have an adhesive backing that facilitates securing turbulence generators 30 to various components of the bicycle. When a bicycle is not specifically designed to incorporate turbulence generators 30, components of the bicycle that have a substantially perpendicular orientation may not also have a substantially cylindrical configuration. For example, the fork and cranks associated with some conventional bicycles may not be shaped to have a substantially cylindrical configuration. An advantage to specifically designing a bicycle to incorporate turbulence generators 30 is that components such as the fork and cranks may be shaped to exhibit a substantially cylindrical configuration. Another advantage to specifically designing a bicycle is that some of turbulence generators 30 may be formed of unitary (i.e., one-piece) construction with components of the bicycle. That is, turbulence generators 30 may be formed during a machining or molding process that forms components of the bicycle. Although turbulence generators 30 may be formed of unitary construction with components when the bicycle is specifically designed to incorporate turbulence generators 30, turbulence generators 30 may also be formed separately and applied (e.g., with an adhesive) following manufacture of the individual components.
As discussed in the Background section above, the total drag force (FD) is a function of the drag coefficient (CD), dynamic pressure (q), and projected area (S) of a body, such as bicycle 10, and the total drag force is calculated by FD=(CD)·(q)·(S). The drag coefficient for laminar flow is generally greater than the drag coefficient for turbulent flow. Accordingly, turbulent flow will generally result in a lesser total drag force than laminar flow when the dynamic pressure and projected area are substantially equal between the turbulent flow and laminar flow scenarios. That is, for a given dynamic pressure and projected area, the total drag force exerted upon bicycle 10 will be less when the fluid exhibits turbulent flow rather than laminar flow. Turbulence generators 30 form vortices in the fluid flowing around bicycle 10, particularly seat tube portion 27. The vortices effectively mix fluid from one fluid layer with fluid from another fluid layer, thus increasing the turbulence of the flowing fluid. Given that drag coefficients for turbulent flow are less than drag coefficients for laminar flow, the overall drag force upon bicycle 10 is effectively reduced by the presence of turbulence generators 30.
Given that turbulence generators 30 increase the turbulence of downstream flow, the point at which the air flow separates from seat tube portion 27 may move toward trailing edge 28b. By moving the point at which the air flow separates from seat tube portion 27 toward trailing edge 28b, the frictional drag on seat tube portion 27 may increase, but the form drag will decrease to a greater degree, thereby decreasing the overall drag force upon seat tube portion 27.
The drag coefficients for a body in a fluid stream are generally higher for laminar flow than for turbulent flow. Despite the lower drag coefficients for turbulent flow, the drag force upon the body is generally greater for turbulent flow due to an increase in dynamic pressure from a corresponding increase in flow velocity. In contrast with the drag coefficients for bodies that do not incorporate turbulence generators 30, an advantageous aspect to the configuration disclosed herein is that the drag coefficient decreases as the fluid velocity increases. More particularly, the drag coefficient has been found to decrease with increasing air velocity in configurations where turbulence generators 30 are (a) located in a range of 50 degrees and 90 degrees from leading edge 28a of seat tube portion 27 and (b) positioned on a substantially cylindrical area of seat tube portion 27 that is oriented substantially parallel to the direction of air movement (i.e., the direction of arrow 12).
Although the configuration of turbulence generators 30 depicted in
The configuration of turbulence generators 30 that is depicted in
Turbulence generators 30 may be located in a range of 50 degrees and 90 degrees from leading edge 28a of seat tube portion 27. With reference to
Seat tube portion 27 is depicted a have a pure cylindrical shape in
Not all elements of bicycle 10, including seat tube portion 27, are perpendicular to the direction of air flow in a strict mathematical sense. As noted above, however, the term “substantially perpendicular” is defined as being within 30 degrees of a plane that is normal to a direction of air movement. Accordingly, elements of bicycle 10 that vary from the plane that is normal to the direction of air flow (i.e., the direction of arrow 12) by 30 degrees or less may incorporate turbulence generators 30. With reference to
The orientation of turbulence generators 30 may vary in configurations where seat tube portion 27 is angled with respect to arrow 12, but remains substantially perpendicular to the direction of air flow. With reference to
Bicycle 10 provides an example of a suitable article of athletic equipment for turbulence generators 30. With reference to
A golf club 42 is depicted in
In addition to athletic equipment, turbulence generators 30 may be incorporated into a plurality of other applications, including various motorized vehicles (e.g., motorcycles, cars, trucks, airplanes, boats), non-motorized vehicles (e.g., soap-box derby cars, gliders, hang-gliders, sailboats), and columns that support bridges and piers, for example. Accordingly, concepts associated with the turbulence generators 30 may be applied to a variety of consumer and non-consumer products to reduce drag forces.
To further illustrate the manner in which turbulence generators 30 may be incorporated into a variety of products, a vehicle 45 having an antenna 46 is depicted in
Turbulence generators 30 may also be utilized on cables, supports, or spans associated with bridges, radio towers, and utility towers, for example. In general, these types of structures are subjected to wind loads, which add to the overall stress of the structures. By adding turbulence generators 30 to the cables, supports, and spans, the wind loads may be effectively decreased.
Each of the examples above disclose turbulence generators 30 in the context of applications where air is fluid causing drag forces. Turbulence generators 30 may also be utilized in the context of other fluids, including water. With reference to
The invention is disclosed above and in the accompanying drawings with reference to a variety of embodiments. The purpose served by the disclosure, however, is to provide an example of the various features and concepts related to aspects of the invention, not to limit the scope of aspects of the invention. One skilled in the relevant art will recognize that numerous variations and modifications may be made to the embodiments described above without departing from the scope of the invention, as defined by the appended claims.