This invention relates to an engine for a supersonic aircraft and more particularly to an inlet and fan combination resulting in a significantly shorter, lighter and more efficient overall propulsion system for supersonic aircraft. A design method is also disclosed.
Air entering an engine of a supersonic aircraft must be slowed down from a supersonic speed to a subsonic speed in order for the engine to perform properly. A typical engine for use with a supersonic aircraft is shown in
In conventional turbofan engines such as the engine 12 of
Another known art engine for supersonic aircraft is the supersonic through-flow fan (STF) engine developed by NASA for the supersonic transport program. This engine is shown in
In one aspect the inventive system and method disclosed herein include a supersonic aircraft engine axial fan having a rotating row of blades that receive an absolute frame supersonic entry flow and decelerate the flow to a lower velocity (supersonic or subsonic) exit flow while simultaneously adding work to increase stagnation pressure of the flow. In one embodiment the lower exit velocity is subsonic. In an alternative embodiment, the lower exit velocity is supersonic. The fan may further include a low total pressure loss inlet preceding the rotating blade row. In this embodiment, the inlet decelerates the flow to a Mach number in the range of 1.2-1.3 at fan entry through an inlet shape that creates a series of near-isentropic weak shock waves to decelerate the flow.
In a typical embodiment the blades of the rotating blade row are configured to produce a series of shock waves to decelerate the flow. In another embodiment, the fan further includes boundary layer suction as a means for boundary layer separation and shock position control on the blade surface and inner-outer annulus to enhance performance.
In another aspect, the invention is an integrated inlet/fan engine system for a supersonic aircraft. The system includes an inlet having a length selected to decelerate the flow from flight freestream supersonic velocity down to a velocity in the range of about Mach 1.2 to about Mach 1.3. A fan having a rotating blade row forming a fan face receives the decelerated absolute frame supersonic flow and decelerates the flow to a lower velocity exit flow while adding work to increase stagnation pressure of the flow.
The inventive inlet-fan system disclosed herein provides a shorter, lighter, and more efficient overall propulsion system for supersonic aircraft. The design disclosed herein provides for higher propulsion system efficiency that results in a reduction in fuel burn and longer aircraft range. The systems and methods described herein provide an engine with higher propulsion system mass flow having greater thrust for the same, or similar, size engine or smaller engines to meet a desirable or required aircraft thrust specification.
Weight and efficiency are competing propulsion system parameters having an impact on the overall goal of achieving environmentally-friendly supersonic flight over land and sustained long range cruise. The systems and methods disclosed herein reduce propulsion system length and weight, increase attendant payload, decrease fuel burn/consumption, and reduce sonic boom noise.
Bleed flow from the primary inlet flow stream is relied upon in conventional inlets to maintain stable operation and lower pressure losses. In contrast to these conventional inlets, the systems and methods described herein reduce or eliminate inlet bleed flows thereby increasing thrust and lowering drag and fuel burn.
a is an axisymmetric view of a fan blade and flow path.
b is a blade section view on an unwrapped stream surface.
With reference now to
The design procedure for an axial fan according to an embodiment of the invention with supersonic axial inflow and supersonic/subsonic axial outflow (SISO) and accompanying inlet will now be described. Typically, the fan performs a dual function of decelerating the incoming supersonic flow as well as raising the stagnation pressure of the flow by work addition. A relatively short supersonic inlet may be required to decelerate the flow from the flight Mach number to a Mach number ranging from about Mach 1.2 to about Mach 1.3 at the fan 14 entry face.
The general design procedure is described first followed by special consideration for the particular case of the SISO fan. Computational design tools available in industry today can be used to design the fan, and the general design methodology for conventional fans and compressors can be adapted with additional considerations primarily due to the high Mach numbers that occur in the SISO fan.
According to an exemplary practice, the design of a fan includes the following: 1) designing the blade shape and 2) designing an inner and outer annulus which comprises the flowpath across the fan.
Standard industry practice for the purpose of designing a fan or compressor is to decompose the flowfield through the fan into two steady-state approximations: 1) an axisymmetric average flow obtained by a circumferential average of the three-dimensional flowfield, and 2) streamsurfaces of this axisymmetric flow at varying radii from the hub of the fan to the tip. The streamsurfaces are unwrapped and mapped to a two-dimensional plane, and this planar blade-to-blade view is used to design or shape blade sections.
These two views are illustrated in
A three-dimensional cylindrical coordinate system is used for the fan flowfield consisting of the axial (x), radial (r), and circumferential (θ) directions. An additional streamsurface coordinate (m) is used for the blade-to-blade flowfield, where
m=√{square root over (x2+r2)}.
The typical nomenclature used for fan blades is also shown in
V=√{square root over (Vx2+Vθ2)}
Vθ=V sin(α)
Vx=V cos(α)
W=√{square root over (Wx2+Wθ2)}
Wθ=W sin(β)
Wx=W cos(β)
Vx is the axial velocity in the absolute frame of reference and Wx is the axial velocity component in the relative frame of reference. Note that Vx≡Wx. The absolute (Vθ) and relative swirl (Wθ) velocity components are related through the blade rotational speed (Ω).
Vθ=Wθ+ΩR
The fundamental equation that relates the work of a fan to the flow velocity and direction change produced by the blades is the Euler's Turbine Equation.
ΔCPTT=ΩΔrVθ
Here, CP is the constant pressure specific heat of the flow. The total temperature (TT) rise across the fan is determined by the rotational speed, the change in radius (r), and the change in the swirl (Vθ) across the fan. To illustrate the relation of Euler's Turbine Equation to the blade shape and fan operation, it is applied to the mid-span streamline of the fan blade with some simple approximations. It is assumed that the flow is adiabatic and the radius change across the fan is negligible. The temperature ratio (τ) of the fan can then be expressed as
in which U is the blade speed, is the flow coefficient given by the ratio of the exit axial velocity and the blade speed, T is the inlet total temperature, and β is the relative flow exit angle leaving the blade. The pressure ratio of the fan can be written as
in which η is the efficiency of the fan and γ is the specific heat ratio (1.4 for air). These two equations show how the fan blade exit angle determines the temperature, and when combined with the efficiency, which is a measure of the shock and viscous losses, determines the pressure ratio across the fan. Euler's Turbine Equation can be used on a per-streamsurface basis to determine the radial (spanwise) work distribution of the fan.
The above equations also show that the fan temperature and pressure ratio can be increased by some combination of increasing the blade speed U (Ωr), decreasing the axial velocity Vx, and increasing the blade turning angle β. A shock wave can be exploited as an efficient mechanism for decelerating the flow and raising the pressure over a very short distance in fan designs that have supersonic tip speeds. The fan design method discussed herein is an essential ingredient in shaping the blades to exploit the shock wave without incurring a large performance penalty. Typical conventional fans with supersonic tip speeds, but always with subsonic inlet axial velocity, have relative Mach numbers ranging from 0.7 at the hub to 1.5 at the tip. At lower span locations closer to the hub, the pressure rise occurs largely due to flow turning. Over the outer span of the fan closer to the tip, shock waves form due to the relative supersonic flow, and the temperature and pressure rise occur primarily due to the high tip speed, large velocity change across the shock system, and very little flow turning.
The SISO fan disclosed herein exploits the mechanism of deceleration through shock waves to raise the pressure of the incoming flow. However, unlike typical conventional fans, the combination of supersonic absolute flow, resulting from a supersonic axial velocity, and supersonic tip rotation speeds (U), results in inlet supersonic relative and absolute Mach numbers and attendant shock system over the entire span of the SISO fan.
An example of a mid-section flowfield of the fan is shown in
There are three main computational tools that are required for designing the SISO fan. A two-dimensional axisymmetric flow solver is used to calculate the base flowfield through the fan. Typical inputs to the solver are the hub and casing contours, blade rotational speed, inlet mass flow, and desired radial work distribution, which is related to the stagnation temperature, and pressure ratio of the fan. In addition, empirical models of the shock wave and viscous losses may also be used as inputs. The axisymmetric flow calculation is post-processed to obtain the streamsurface positions and flow conditions upstream and downstream of the fan blade. These are used as inputs/boundary conditions for the blade shape design. A quasi-three-dimensional or blade-to-blade solver is used to calculate the flowfield due to the blade on the unwrapped streamsurface shown in
The pressure distribution around the blade can be used as a guide to shape the blade section to meet the design pressure ratio and other requirements. Inverse design methods can also be used to determine the blade shape for a prescribed pressure distribution (Youngren, H. H., Drela, M., “Viscous/Inviscid Method for Preliminary Design of Transonic Cascades,” AIAA Paper 91-2364, 27th AIAA, SAE, ASME, and ASEE, Joint Propulsion Conference, Sacramento, Calif.; June 1991). The two-dimensional axisymmetric and quasi three-dimensional solvers are approximations to the three-dimensional flowfield and require empirical or simple analytical models to fill in or predict the missing flow mechanisms. A three-dimensional viscous flow solver can be used to calculate the detailed flow through the fan. This is important at least in part because successful SISO fan design depends on accurate prediction of the flowfield, which include at least, high Mach numbers, strong shock waves, and interaction of the shock waves and viscous boundary layers. The three-dimensional flowfield solution can be used for refining and validating the final design. These and other commercially available flow codes known in the gas turbine industry may be used by the systems and methods described herein.
A general procedure for designing axial fan and compressor blades is shown in
Typical ranges of design parameters expected for the SISO fan for a Mach 2 supersonic aircraft application are given in Table 1.
The parameters fall in the range of current fans except the inlet supersonic axial Mach number. Conventional fans have an inlet axial Mach number ranging from about Mach 0.5 to about Mach 0.7. The fan tip speed is chosen to meet the pressure ratio requirement while obeying blade loading limits set by the work coefficient and diffusion factors. In the case of the SISO fan, the blade speed is also limited by the spanwise distribution of inlet relative Mach numbers. To achieve acceptable efficiency and operability, the peak recommended Mach number in the SISO fan at the tip should not exceed about 1.9.
Based at least in part on the preliminary design inputs discussed above being known, the design of the fan can be started by preparing initial data for the two-dimensional axisymmetric calculation in step 1. The initial flowpath contour can be determined using the one-dimensional conservation equations for mass, momentum, and energy. The hub-to-tip radius ratio for the flowpath at the inlet can range from about 0.4 to about 0.5. The exit hub-to-tip radius ratio typically depends on the design exit Mach number which can range from about 0.5 to about 0.6. The design radial work, or swirl distribution, for the fan can be calculated using Euler's Turbine Equation. The initial fan blade axial chord and blade count can be estimated from the loading requirements. It is also common to use simple empirical or analytical models for shock, viscous, tip clearance, and secondary flow losses.
Given the initial design inputs, the design iteration proceeds as follows. Further details can be found in Merchant, A., “Design and Analysis of Axial Aspirated Compressors”, Ph.D. Thesis, MIT, June 1999 and A. J. Wennerstrom, above.
During the aerodynamic iterations, several structural analyses can be performed to check the peak stresses and deflection of the fan blade. If these are excessive then the thickness distribution of the appropriate blade section can be modified. The thickness distribution may also need to be modified to meet additional aeromechanical constraints appropriate for the operating conditions.
A primary design challenge for the SISO fan is the supersonic Mach number that occurs over the entire span at the inlet resulting in a full span shock system. The following design issues are considered important, and must be adequately addressed in the design of the SISO fan.
A supersonic inlet can be designed using a two-dimensional axisymmetric solver such as the one used above for the fan blade design. The method of characteristics can also be used (Anderson, John David, Modern compressible flow: with historical perspective/John D. Anderson, Jr., Boston: McGraw-Hill, 2003). However, it is important for any design method to include and accurately calculate the viscous boundary layer development along the inlet.
The important consideration in the design of supersonic inlets are the pressure recovery and the length required to decelerate the flow from the flight Mach number to the fan face Mach number. In conventional inlets, the pressure losses are due to the oblique shock system in the supersonic portion of the inlet, the terminal normal shock, and the viscous boundary layers. In the case of the SISO fan, the terminal normal shock, which has the largest pressure loss contribution, is eliminated since the fan face flow is supersonic. Elimination of the terminal shock also eliminates the about 3-8% flow control bleed usually required to stabilize the terminal shock and prevent boundary layer separation downstream of the terminal shock, both of which add a significant system level penalty to the propulsion. The large fraction of the inlet length required to decelerate the flow from the inlet throat to subsonic conditions is also eliminated.
For the SISO fan the inlet decelerates the flow from the flight Mach number to a fan face Mach number ranging from about 1.2 to about 1.3. The inlet can be designed to achieve a nearly isentropic deceleration of the flow at design conditions through very weak shock waves. Such a near-isentropic design is discussed in Ahsun et al (2003). The inlet length may be decreased by having stronger oblique shock waves in the initial portion of the inlet followed by weaker shock waves closer to the fan face. It is desirable to prevent strong shock waves from propagating into the SISO fan that may lead to deterioration in performance.
A small amount of flow control on the order of ±1% of the overall inlet mass flow may be required in the inlet to enhance the performance of the inlet and control the variations in the fan inlet Mach number due to atmospheric disturbances (“Design of an Actively Stabilized Near-Isentropic Inlet,” U. Ashun, A. Merchant, J. Paduano, M. Drela, Paper No. 2003-4096, Proceedings of the 18th AIAA Computational Fluid Dynamics Conference, Orlando, Fla., June 2003 (to appear in J. of Propulsion and Power)).
There are no special materials or processes required for manufacturing the SISO fan of the invention. Existing materials and manufacturing techniques could be used to manufacture the fan. However, stricter tolerance of the machining process may be required due to the inherent sensitivity of supersonic flow to small geometric variations as compared to conventional fan blades.
Those skilled in the art will appreciate that the integrated inlet-fan system disclosed herein can be readily interfaced with a conventional engine. This attribute has a major implication for its use in the near term on supersonic propulsion systems that consist of existing engines.
Weight and efficiency are key competing propulsion system parameters having an impact on the overall goal of achieving environmentally friendly supersonic flight over land and sustained for long-range cruise. Therefore, technologies such as the integrated inlet-fan system disclosed herein enable reduction in weight and improvement in efficiency of the propulsion system that can have a significant impact on the overall environmental footprint of the aircraft.
There is renewed interest in long-range supersonic flight with particular emphasis, in the near term, on business jet aircraft meeting environmental requirements for flight over land. The commercial viability of such aircraft depends on flight over land, low environmental impact, and high fuel efficiency for long range and low cost. The application of the integrated inlet-fan system disclosed herein (and the design method) to supersonic aircraft can improve fuel efficiency and decrease weight with attendant commercial benefits. An alternative application is in missiles which use turbofan and turbojet engines for which range and weight are important.
The contents of all of the references cited above are incorporated herein by reference in their entirety.
It is recognized that modifications and variations of the invention disclosed herein will be apparent to those of ordinary skill in the art and it is intended that all such modifications and variations be included within the scope of the appended claims.