Lect-28. In this lecture...

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1

In this lecture... Lect-28 Performance of intakes Performance parameters Sources of losses Starting problem in supersonic intakes Modes of operation of an external compression intake 2

Intake performance Intake operation varies tremendously over the operating range of the engine. During take-off the engine requires high mass flow, but is operating at a lower speed. A typical fixed geometry intake may have problems delivering this mass flow. The intake design must ensure that under these extreme operating conditions too the intake performance is not drastically affected. 3

Subsonic intake performance 1 1 2 During take-off Capture area 2 During climb 1 1 During cruise 2 Flow separation 2 During top speed 4

Subsonic intake performance The compression in a subsonic intake consists of two components: Pre-entry compression or external compression Internal compression or the compression in the diffuser Pre-entry compression is always isentropic, whereas internal compression is not. However trying to maximize pre-entry compression may result in boundary layer separation within the internal compression. Designers try to optimize between external and internal compression. 5

Subsonic intake performance Spillage T T0 0 P 0 a P 0 a P02 P02 P 2 P 2 P 1 P a Ta s T P a P 1 T Ta s High speed/low mass flow Low speed/high mass flow 6

Subsonic intake performance Flow separation can get initiated at three possible locations External to the intake on the nacelle Within the diffuser internal surface On the centerbody or the hub Separation on the nacelle would lead to increase in overall drag of the aircraft Separation within the diffuser geometry may lead to higher stagnation pressure losses and therefore lower diffuser efficiency. 7

Subsonic intake performance Leading edge lip Spillage Nacelle, external flow surface Internal flow annulus, diffuser Possible regions of flow separation 8

Subsonic intake performance Spillage: Occurs when the incoming streamtube (capture area) is different from the intake entry area Leads to increased drag May also lead to separation on the cowl External deceleration (pre-entry compression) devoid of losses Sensitive to operating condition Trade-off between external and internal deceleration 9

Intake performance Performance of intakes (subsonic as well as supersonic) are evaluated using the following: Isentropic efficiency Stagnation pressure ratio or pressure recovery Distortion coefficient 10

Subsonic intake performance T 0a 02 02s 2 2s P 0a P 02 P 2 V 22 /2c p V 02 /2c p 1 P 1 P a a s Isentropic efficiency 11

Subsonic intake performance Isentropic efficiency, η d, of the diffuser is η d = h h 02s 0a h h a a 02s Stagnation pressure ratio or pressure recovery is the ratio of the outlet stagnation pressure to the inlet stagnation pressure: T T 0a π P P d = 02 / 0 a T T a a 12

Subsonic intake performance Isentropic efficiency can be related to the total pressure ratio (π d ) and Mach number η d = 1+ γ 1 M 2 ( γ 1)/ γ d [ ] 2 ( γ 1) / 2 M Distortion coefficient is a measure of the intake exit flow non-uniformity. There are several definitions for distortion coefficient. 2 π 1 13

Subsonic intake performance One of the most commonly used definitions is DC θ DC P P o2 θ is = 02θ min 1/ 2ρV P02 P02 1/ 2ρV the average outlet stagation pressure is the average outlet stagnation pressure is sector where stagnation pressure is minimum 2 θ min 2 is the inlet dynamic pressure θ 14

Subsonic intake performance Based on the sector angle chosen, there are different ways of defining distortion coefficient. The sector angle that is most commonly used is 60 o and therefore the distortion coefficient is DC 60. Other angles like 45 o and 90 o are also sometimes used. 15

Supersonic intakes Lect-28 Internal, external or mixed compression Depending upon the location of the shocks Internal compression intakes have shocks that are located within the intake geometry External compression intakes have shocks located outside the intake Mixed compression intakes have shock that are located within as well as outside the intake geometry. 16

Supersonic intakes Lect-28 Normal shock Normal shock Throat Oblique shocks Internal compression intake External compression intake External compression Internal compression Mixed compression intake 17

Supersonic intake performance Supersonic diffusers are characterised by the presence of shocks. However before the intake operates in a supersonic flow, it must pass through the subsonic flow regime. In some types of supersonic intakes, establishing a shock system with minimal losses is not easy. The process of establishing a stable shock system is referred to as Starting of an intake. 18

Starting of an intake Aa Ai A t M <1 M <1 M < 1 M < 1 M <1 M < 1 M =1 M <1 Weak shock M =1 < 1 M M = 1 M < 1 Spillage 19

Starting of an intake Strong shock M >1 M <1 M = 1 M < 1 Spillage M = M 0 dm M < 1 M =1 M <1 M = M 0 + dm M > 1 M < 1 M = M > 1 M =1 M < 1 M D Weak shock 20

Supersonic intake performance External compression intakes complete the supersonic diffusion outside the covered portion of the intake. These intakes usually have one or more oblique shocks followed by a normal shock. Depending upon the location of these shocks, the intake may operate in subcritical, critical or supercritical modes. 21

Supersonic intake performance Subcritical: At Mach numbers below the design value. The normal shock occurs ahead of the cowl lip. High external drag due to spillage. Supercritical: Occurs at same mass flow as critical mode Higher losses as the normal shock occurs in a region of higher Mach number. Critical: Design point operation. The normal shock is located exactly at the cowl lip. 22

Supersonic intake performance Normal shock Oblique shock Subcritical mode Normal shock Supercritical mode Critical mode 23

Supersonic intake performance Total pressure losses are highest in the case of a diffuser with a single normal shock. A number of oblique shocks followed by a normal shock would lead to lower total pressure losses. Oblique shocks are generated using steps in the centrebody. A diffuser with a smoothly contoured centrebody may have infinite oblique shocks: Isentropic external diffuser. 24

Supersonic intake performance Weak oblique shocks Weak normal shock M=1 Isentropic external diffuser 25

In this lecture... Lect-28 Performance of intakes Performance parameters Sources of losses Starting problem in supersonic intakes Modes of operation of an external compression intake 26

In the next lecture... Nozzle: fixed and variable geometry nozzles 27