The generation of thrust as M . (V_e – V_i), is always accompanied by the rejection
of power in the form of wasted kinetic energy (Ek = 1⁄2 . M . (V_e – V_i)^2) with a consequent effect on the propulsive efficiency (ηp). For a given thrust, this wasted kinetic energy can be reduced by choosing a high value of air mass flow rate (M) and a low value of (V_e – V_i), since kinetic energy is proportional to the square of the velocity.
While the turbofan is just an extension of the turbojet, there are different reasons to use the different by-pass designs. For example, having a large by-pass ratio is preferable from a noise and efficiency viewpoint. A large fan, however, increases the amount of drag and decreases the maximum operating speed of the engine, limiting the exhaust velocity. Using low by-pass design minimizes these limitations, leading to increases in engine speeds and exhaust velocity, while retaining the extra efficiency of a turbofan.
For example, among the fastest planes, such as the SR-71 Blackbird, MiG-25, and the Concorde, all used turbojets. The lack of drag from using a fan, and resultant lower cross-sectional area, led to that it was much easier to optimize the aerodynamics for supersonic applications.
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SR-71 Blackbird
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The engine pressure ratio (EPR) is defined to be the total pressure ratio across the engine, measured as the ratio of the total pressure at the exit of the propelling nozzle divided by the total pressure at the entry to the compressor.
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credit: NASA |
The engine pressure ratio is simply the product of the pressure ratio across all of the engine components, so
EPR = pt8 / pt2 = (pt3 / pt2) * (pt4 / pt3) * (pt5 / pt4) * (pt8 / pt5). For the numbers, see the Figure above.
The engine temperature ratio (ETR) is defined similar to the engine pressure ratio and it is the total temperature ratio across the engine. ETR is the ratio of nozzle total temperature Tt8 to compressor face total temperature Tt2. The ETR is simply the product of the temperature ratio across all of the engine components:
ETR = Tt8 / Tt2 = (Tt3 / Tt2) * (Tt4 / Tt3) * (Tt5 / Tt4) * (Tt8 / Tt5). Numbers are in the same order as the previous.
If we know engine temperature ration, and the corresponding engine pressure ratio, we can determine the thrust of an engine using the nozzle performance information and the thrust equation. The general thrust equation is given as:
F = M_e . V_e - M_i . V_i + (p_e - p_i) * Ae,
where thrust F is equal to the exit mass flow rate M_e times the exit velocity V_e minus the free stream mass flow rate M_i times the free stream velocity V_i plus the pressure difference across the engine (p_e - p_i) times the engine area Ae. For gas turbine engines, the nozzle is usually designed to make the exit pressure equal to free stream, meaning that the p_e = p_i. In that case the thrust equation simplifies to:
F = M_e . V_e - M_i . V_i
Specific thrust is another useful parameter. It is the thrust per unit air mass flowrate of a jet engine (e.g. turbojet, turbofan, etc.) and it can be calculated by the ratio of net thrust to total intake airflow:
Fs = F / M_i
Low specific thrust engines tend to be more efficient of propellant at subsonic speeds, but also have a lower effective exhaust velocity and lower maximum airspeed. High specific thrust engines are mostly used for supersonic speeds.
Turbofan engines come in a variety of engine configurations. The basic element of a turbofan is a spool, a single combination of fan/compressor, turbine and shaft rotating at a single speed.
The single-shaft turbofan is probably the simplest configuration, comprising a fan and high-pressure compressor driven by a single turbine unit, all on the same spool. Mirage 2000 is an example of aircraft using single engine single shaft turbofan.
Aft-fan turbofan was one of the earliest turbofans, which featured and integrated aft fan with low pressure turbine unit located in the turbojet exhaust jetpipe.
Many turbofans have at least basic two-spool configuration, where the fan is on a separate low pressure spool, running concentrically with the compressor or high pressure spool. The low pressure spool runs at a lower angular velocity, while the high pressure spool runs faster and the compressor compresses part of the air for combustion. Rolls-Royce BR-700 is an example of this configuration.
Boosted two-spool is used in order to achieve higher overall pressure ratio. It can be achieved by either raising the high pressure compressor pressure ratio or adding an intermediate pressure compressor between the fan and the fan and high pressure compressor to boost the latter unit to raise the overall pressure ratio of the engine cycle.
Three-spool configuration was used by Rolls-Royce for their large civil turbofans, where the T-stages of the boosted two-spool configuration were separated into a separate intermediate pressure spool, driven by its own turbine.
The geared turbofan configuration is a type of turbofan, that has a gearbox between the fan and the low pressure shaft to spin each at optimum angular velocities.
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1. Fan 2. Gearbox |
In a geared turbofan, a planetary reduction gearbox is placed between the fan and the low pressure shaft allowing the latter to run at a higher rotational speed thus enabling fewer stages to be used in both the low pressure turbine and the low pressure compressor, increasing efficiency and reducing the weight. However, some energy will be lost as heat in the gear mechanism. Also the weight which saved on turbine and compressor stages is partly offset by that of the gearbox.
One more type on the end. It belongs to the geared turboprop, however the flow is different. It is turboprop engine, PT6 engine. It consists of two basic sections: a gas generator with accessory gearbox and a free power turbine with reduction gearbox. It often seems to be mounted backwards in an aircraft in so far as the intake is at the rear and the exhaust at the front. Many variants of the PT6 have been produced also for helicopters, land vehicles, hovercraft, boats, etc.
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PT6: see inlet and exhaust position
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Comparison to common types: inflow left, exhaust right |
So, how to conclude this article? What is the main difference between turbofan engine and turboprop engine? I may not have talked about it clearly in the article, but I'd like to make it clear:
1. In turbofan engines, a gas turbine engine is used to drive a fan to generate the thrust while, in turboprop engines, it is used to drive a propeller.
2. In turbofan engine, thrust generated is a combination of by-pass flow and gas turbine exhaust, while turboprop engines generate thrust almost completely by the propellers.
3. Turbofan engines perform with good efficiency at both supersonic and transonic flight, but a turboprop engine can be only used in subsonic flight.
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