Rotor Platform of Aerodynamic Force and Method of Aerodynamic Force Generation

Abstract

Rotor platform of aerodynamic force is meant for generating aerodynamic lift force in horizontal position and aerodynamic transverse force in vertical position, with further practical implementation as a robust power installation of transport vehicle facilities. The principle of operation of the platform is based on the well-known Magnus effect—generation of transverse force acting on an object spinning in the ambient air flow. The basis of the construction is the unit of several coplanar rotors, wherein the rotors spinning is caused by the air flow force and the rotors provide the summed value of the generated aerodynamic to force.

Description

FIELD OF THE INVENTION

A rotor platform of aerodynamic force and a method of aerodynamic force generation relate to wind power engineering and are meant for generating lift and transverse aerodynamic forces.

BACKGROUND OF THE INVENTION

It is known that aerodynamic force results from the interaction of physical objects with the ambient air flow (1, page 484).

An airplane wing is one of the simplest well-known physical objects generating in the ambient air flow an aerodynamic force in the form of a lift force (2, page 505).

A wing lift force is produced owing to its unsymmetrical form, with the air flow streaming around it to pass its curved upper surface at the velocity larger than the velocity of the air flow passing its flat bottom. Due to the difference in the velocities, as per Bernoulli equation, a lift force is produced, which value is derived via Kutta-Joukowski theorem as given below:

$Y=\rho V\Gamma L=C_y\frac{\rho V^2}{2}S,\left(3,\mathrm{cTp}.141\text{-}142\right)$

• Γ—velocity circulation value;
• ρ—air density;
• V—windstream velocity;
• S—wing surface square in plain view;
• L—wing length;
• C_y—dimensionless coefficient dependant on the physical properties of air, the wing itself and the wing orientation against the air flow.

A lift force Y in symbolic expression as cited above, or as follows

A=ρΓVL,

as per (4, page 121) is also termed transverse and its value is proportional to the flow velocity squared and the value of coefficient C_y .

“The value C_y bears considerable importance as the larger it is the lesser are the take-off speed and landing speed of an airplane”, i.e. the minimum air flow velocity generating the specified lift force depends directly on the value C_y. In a particularly preferred embodiment of the wing, the value C_y does not exceed the values 1, 2 (3, pages 141-142).

It is known that the cylinder rotating around the longitudinal axis “ . . . under equal conditions creates a force 10 times larger that the wing does” (5, pages 55-57), i.e. the coefficient C_y gains the value n-order larger than that of the airplane wing.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic representation of the rotor platform of aerodynamic force .

FIG. 2 is a section view of the platform rotors.

DESCRIPTION OF THE INVENTION

The proposed invention is aimed at utilizing the potential of generating aerodynamic force by the cylindrical body rotating in air flow and creating hereon a simple and efficient technical device capable of generating powerful lift and transverse force suitable for practical implementation.

The schematic representation of the rotor platform of aerodynamic force is presented in FIG. 1. The basis of the construction is the rotor unit of identical symmetrical coplanar central and lateral rotors with load-bearing elements of logarithmic spiral profile, the prototype thereof being a marine rotary wind-powered propulsion—BY No. 8234.

The rotation longitudinal axis 1 of the central rotor 2 is fixed in the platform frame 3, whereas the longitudinal axes of the lateral rotors 4 are rigidly tied by cross-members 5, with the centers of the cross-members via the bearing units coupled with the fixed rotation axis of the central rotor, which allows the firmly inter-tied lateral rotors to repeatedly take a symmetrical position in a single plane as per the central rotor.

It is also known that air flow flowing around the rotating body causes circulation of the air flow around its contour, the velocity thereof is summed up with the velocity of the flow when they are co-directional (4, pages 100-105), which imparts additional kinetic energy to the flow.

The essence of the invention consists in using the flow with additional velocity to act on the consecutive rotor.

The method of generating aerodynamic force by the rotor platform, aerodynamic force being a sum of aerodynamic forces generated by each platform rotor, is shown in FIG. 2.

The air flow with initial velocity V₁ falls on the first rotor and sets it to rotation at the velocity V_{1 R}. Summation of the rotation velocity and flow velocity results in the flow velocity that substantially exceeds its initial value

V_1S=V₁+V_1R.

The flow further falls on the consecutive rotor at the velocity V_1S, sets it to rotation at the velocity V_2R, summation of velocities results in the velocity V_2S that renders its effect on the consequent rotor, whereby fully repeating the previous cycle.

Thus, the value of aerodynamic force generated by the rotor platform according to Kutta-Joukowski theorem is expressed as follows:

$\sum Y=C_y\rho \left(\frac{V_I^2}{2}+\frac{V_{1S}^2}{2}+\frac{V_{2S}^2}{2}\right)S.$

REFERENCES

• 1. The Great Soviet Encyclopedia, 3^rd edition., vol. 2.
• 2. The Great Soviet Encyclopedia, 3^rd edition., vol. 13.
• 3. The Great Soviet Encyclopedia, 3^rd edition., vol. 20.
• 4. Prandtle L., Fluid Mechanics. M., 1951.
• 5. Merkoulov V. I. Hydrostatics, Known and Unknown, M., 1989
• 6. Patent BY No. 8234.

Claims

1. A rotor platform of aerodynamic force comprising identical central and lateral rotors with load-bearing elements of logarithmic spiral profile, characterized in that the rotation longitudinal axis of the central rotor is fixed in the platform frame, whereas the rotation longitudinal axes of the lateral rotors are rigidly tied by cross-members, with the centers of the latter ones, via bearing units, being coupled with the fixed longitudinal axis of the central rotor.

2. A method of generating aerodynamic force by the rotor platform according to to claim 1, characterized in that the given aerodynamic force represents the sum of the forces generated in the nearest to the rotor air flow, due to the flow with natural velocity, whereas on each consequent rotor under the effect of the flow with the summed velocity generated on each preceding rotor due to the summation of the rotation velocity and the flow velocity, being mathematically expressed as follows: ∑ Y = C y  ρ ( V I 2 2 + V 1   S 2 2 + V 2  S 2 2 )  S.