At high-subsonic flight speeds, supersonic airflow can develop in areas where the flow accelerates around the aircraft body and wings. The speed at which this occurs varies from aircraft to aircraft, and is known as the critical Mach number. The resulting shock waves formed at these points of supersonic flow can bleed away a considerable amount of power, which is experienced by the aircraft as a sudden and very powerful form of drag, called wave drag.
To reduce the number and power of these shock waves, an aerodynamic shape should change in cross sectional area as smoothly as possible. This leads to a "perfect" aerodynamic shape known as the Sears–Haack body, roughly shaped like a cigar but pointed at both ends.
The area rule says that an airplane designed with the same cross-sectional area distribution in the longitudinal direction as the Sears-Haack body generates the same wave drag as this body, largely independent of the actual shape.
As a result, aircraft have to be carefully arranged so that large volumes like wings are positioned at the widest area of the equivalent Sears-Haack body, and that the cockpit, tailplane, intakes and other "bumps" are spread out along the fuselage and/or that the rest of the fuselage along these "bumps" is correspondingly thinned.
The area rule also holds true at speeds higher than the speed of sound, but in this case the body arrangement is in respect to the Mach line for the design speed. For instance, at Mach 1.3 the angle of the Mach cone formed off the body of the aircraft will be at about μ = arcsin(1/M) = 50.3° (μ is the angle of the Mach cone, or simply Mach angle). In this case the "perfect shape" is biased rearward, which is why aircraft designed for high speed cruise tend to be arranged with the wings at the rear.] A classic example of such a design is Concorde.
Wallace D. Hayes, a pioneer of supersonic flight, developed the supersonic area rule in publications beginning in 1947 with his Ph.D. thesis at the California Institute of Technology
Richard T. Whitcomb, after whom the rule is named, independently discovered this rule in 1952, while working at the NACA. While using the new Eight-Foot High-Speed Tunnel, a wind tunnel with performance up to Mach 0.95 at NACA's Langley Research Center, he was surprised by the increase in drag due to shock wave formation.
Whitcomb realized that, for analytical purposes, an airplane could be reduced to a streamlined body of revolution, elongated as much as possible to mitigate abrupt discontinuities and, hence, equally abrupt drag rise.[6] The shocks could be seen using Schlieren photography, but the reason they were being created at speeds far below the speed of sound, sometimes as low as Mach 0.70, remained a mystery.
In late 1951, the lab hosted a talk by Adolf Busemann, a famous German aerodynamicist who had moved to Langley after World War II. He talked about the difference in the behavior of airflow at speeds approaching supersonic, where it no longer behaved as an incompressible fluid. Whereas engineers were used to thinking of air flowing smoothly around the body of the aircraft, at high speeds it simply did not have time to "get out of the way", and instead started to flow as if it were rigid pipes of flow, a concept Busemann referred to as "streampipes", as opposed to streamlines, and jokingly suggested that engineers had to consider themselves "pipefitters".
Several days later Whitcomb had a "Eureka" moment. The reason for the high drag was that the "pipes" of air were interfering with each other in three dimensions. One could not simply consider the air flowing over a 2D cross-section of the aircraft as others could in the past; now they also had to consider the air to the "sides" of the aircraft which would also interact with these streampipes.
Whitcomb realized that the Sears-Haack shaping had to apply to the aircraft as a whole, rather than just to the fuselage. That meant that the extra cross-sectional area of the wings and tail had to be accounted for in the overall shaping, and that the fuselage should actually be narrowed where the wing meets the fuselage meet to more closely match the ideal.
Applications
If you look at the under side of LCA you can actually notice that fuselage of LCA TEJAS follows this rule.The fuselage expands smoothly from the nose cone and from a point near the wing root it starts to narrow down to the tail.
http://www.drdo.gov.in/drdo/pub/dss/2009/main/2-CEMILAC.pdf
What CEMILAC report by S.K.JEBAKUMAR states is that there is a sudden increase in cross section from x=5000 mm to x=6000 mm.It says this increase in cross section should be more smoother for further wave reduction.
This sudden incaaese may be due to the strengthening of the wing at the roots to increase the external stores capacity of LCA TEJAS.
So if we add a nose cone plug and extend the fuselage by 1 meter the shape confirmation according to WHITCOMB's area rule will be much smoother like the classic coke bottle shape.It will further reduce some drag.It will also result in the increase in internal volume for fuel and more space for avionics so it would be overall more beneficial to TEJAS.
SO area rule is followed in the design of LCA. But due to the strengthening of wing roots there was sudden raise in cross sectional are at x=5000mm to x=6000 mm.This raise is in conformity with the WHIT COMB's rule which dictates that the cross sectional are raise should continue till the pointin fuselage where the wing meets the fuselage.But instead of being gradual it is sudden raise in cross sectional are at x=5000mm to x=6000 mm that needs to be addressed.
During the planning days of LCA ,it was meant to be a mig replacement weighing 5.5 tons carrying mig like loads of 2 tons,but providing performance better than mirage modeled roughly in the flying charecteristics of delta FCS mirage.It was achieved.Then with the advent of close to 200 kg modern BVRs ,naturally the weapons load is increased to 4 tons,because these BVRs weigh close to 150 kg each.
For that wing and the meeting point of wing with fuselage needed to be strenghtened resulting in the sudden raise in cross section instead of gradual raise as it is too late to alter the entire fuselage length at an advanced stage of the program as it would delay it further.SO once all the important testing parameters are achieved this change in nose cone plug and fuselage cross section smoothening can be easily validated later as it will only increase the aerodynamics not reduce it in anyway.
SINCE ACCORDING TO THE INTERVIE WITH KOTA HARINARAYANA IN ADA WEBSITE,
THE TEJAS FCS WAS TESTED ON AN F-16 FIRST AND THEN ONLY IT WAS IMPLEMENTED ON LCA TEJAS.
So changing FCS to accomadate this CEMILAC recommendations wont be a problem.
So it seems that FCS is modular platform independant software implementation that can be suitably adapted to F-16 and LCA.
So there may not be much problem on that count.
http://www.drdo.gov.in/drdo/pub/dss/2009/main/2-CEMILAC.pdf
One of the major out come of sea level trial of Tejas
is that the drag of the aircraft is high such that the aircraft
could not reach the supersonic Mach number at sea level.
The components contributing for the maximum drag rise
has been identified and improvement methods were worked
out.
Nose cone extension using a Plug: The major component
of drag at higher speed is the wave drag. This can be
minimized by following the Whitcomb's Area rule for the
aerodynamic configuration design. The cross sectional area
variation of LCA along the length of fuselage is shown
in Fig 12. Between station X = 5000mm & 6000mm there
is a sudden increase in area. By smoothing this sudden
rise, the wave drag can be minimized. A possible solution
proposed is the extension of nose cone by introducing a
Plug. The detailed analysis of this design and its implementation
plan is being worked out.
d
THE CEMILAC REPORT SAYS EXPLICITLY THAT TEJAS "FAILS TO ACHIEVE SUPESONIC MACH number (specified for it)".
IT DOESNOT SAY THAT TEJAS FAILS TO GO SUPERSONIC IN AT SEA LEVEL.
IT JUST SAYS IT IS FALLINHG SHORT OF IT'S INTENDED SUPERSONIC MACH NUBERS.
THIS MAY BE DUE TO MANY OTHER FACTORS LIKE EXTRA WEIGHT BECAUSE OF INCREASED WEAPON LOAD REQUIREMENT.
The 92 kn new GE engine on MK-1 itself may solve this problem.
The smoothening of the cross section could have been done in LSP-7 itself as there are changes to tail as suggested by ADA.Because if the sudden raise from x=5000 to x=6000 is addressed in LSP-7 ,it wouldnot have been visible to the naked eye.Only cross sectional area map like the CEILMAC pdf alone can answer this.The nosecone plug will further make the compliance with WHITCOMB RULE in more strem lined and gradual manner .
CEMILAC report by S.K.JEBAKUMAR also states some area near the tail should be smoothened.The LSP-7 sports changes to tail section as reported in some blogs.So it may have been corrected.
One interesting outcome of the area rule is the shaping of the Boeing 747's upper deck.The aircraft was designed to carry standard intermodal containers in a two-wide, two-high stack on the main deck, which was considered a serious accident risk for the pilots if they were located in a cockpit at the front of the aircraft.