My answer is a question. Why on earth would you want to? The only people I can remember who do doughnuts are rally drivers in their team car and yobbos in stolen cars.
When referencing limited slip differentials and MX5s… Note, these aren’t really the same as LSDs used in motorsports.
When it comes to NA and NB, the factory fitted 4 different LSDs (3 for the NA, 2 for the NB).
1989-93 1.6s in Japan and US were optionally fitted with a viscous LSD. Lance Schall provided a description of this:
I believe the VLSD may have been an expensive option in the UK, but if so, the numbers of cars would be puny. All of these diffs used a 4.300 final gearing.
From 1993, on the 1.8 in Japan and the US, the Torsen differential was made available, first in Torsen T1 guise, then from late 1995, Torsen T2. T1s were 4.100 and on the NA, T2s were 4.300.
Again, quoting Lance:
More techie stuff:
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Open differentials have a torque bias ratio of 1 to 1. That is, they will not distribute more torque to one wheel than the other. It is common to confuse wheel speed with torque. Do not fall into this trap. When one wheel is on ice, it may be rotating very fast indeed, but it does not take a significant amount of torque to turn the wheel on ice. The opposite wheel, on dry land, does not turn because it also has negligible torque (and in this case no speed either).
Another way of looking at the same idea is that the open differential can deliver no more than 50 percent of the available torque to any wheel. When both wheels are on a hard surface and the car is pointed straight, this is not a problem. 50 + 50 = 100. As you exit a corner and the lightly loaded inside wheel begins to spin, the torque to the outside wheel drops also. If one wheel is performing at 25 percent, the other is at 25 percent. The rest of the available torque goes to wheel spin or the driver is forced to lift throttle to avoid overreving/spin out. It is the loss of tractive effort from the outside wheel that racers want to eliminate. The spinning of the inside wheel does not matter much by itself. That wheel is lightly loaded anyway and can not contribute much to propelling the car out of the corner.
For cars with a solid rear axle, the driveshaft torque also attempts to rotate the axle about the driveshaft axis, lightening the load on the right rear wheel. It is as if the car were turning right even though it is going straight. This is a source of annoyance to drag racers who still use one piece rear axles.
Performance numbers for open differentials: 1 to 1 torque bias ratio. Since the second ‘1’ in ‘1 to 1’ is implied, sometimes you just see the first number 1 or 1.00 by itself. Sometimes the 50 percent figure is presented (see above) as the maximum amount of driveshaft torque (disregarding the rear end ratio) that can be delivered to any one wheel. 1, 1.00, 50 percent or 0.50 can all mean an open differential.
To the driver, the open differential is the safest, most forgiving system. Floor it coming out of a corner and you get less acceleration than you wanted and the outside wheel is still in rolling contact with the road, holding the rear end of the car in line.
With the car on a lift with the driveshaft constrained (in gear), turning one rear wheel will cause the other wheel to turn the other way. You should be able to turn it rapidly with relative ease. With the driveshaft free to rotate (gearbox in neutral), the internal friction of the open differential is probably not high enough to turn the driveshaft anyway and the result is the same.
Included here only for comparative purposes, is the all out racing setup; the spool rear end. The left and right tires are locked together completely, they rotate together. A spool rear end can deliver 100 percent of the available torque to one wheel (The engineer should note the maximum design torque load for a given half shaft has just been doubled!). The torque bias ratio is infinite (100 / zero). Performance number is expressed as 1, 1.00, or 100 percent.
A spool equipped car will break both rear wheels loose at the same time, exhibiting power-on oversteer (tail out power slide) exiting corners. Spool cars obtain some semblance of balance with ridiculously stiff front roll bars. This makes sure that as the rear end breaks loose, the weight transfer in the front is 100 percent to the outside wheel, so the front of the car slides away at the same rate.
You would not have a spool on your street driven Miata. If a spool is installed and the car is on a lift, the wheels will not turn unless the driveshaft is free to rotate. The wheels always turn in the same direction and speed......
.....Since a spool will send 100 percent of the torque to one wheel (but has an infinite torque bias), the clutch style limited slip people needed a figure to describe how close their clutch pack approaches a spool. Take a torque bias of 5 to 1 for example: 5/(5+1) = 83 percent. An open differential at torque bias of 1 to 1: 1/(1+1) = 50 percent. Or a spool: infinity/(infinity + 1) = 100 percent. So the “stiffness” of clutch pack limited slip can be expressed as a percentage between 50 and 100.
To further complicate matters, the clutch pack limited slip (Kaaz) does not really have a specific torque bias. The clutch pack will support a given torque difference, behaving like a spool, until its threshold is reached. Then it slips, reducing the effective TBR, heats, and wears. To the driver, the car tends to push toward the outside of a turn with application of power. The left and right wheels are coupled together, it wants to go straight. You compensate by increasing the slip angle on the front wheels. When you lift, the front wheels take over, and the car pulls to the inside of the turn. As you approach the cornering limit, the push turns into power-on oversteer. All of this just to get out of the corner faster!
And the clutch pack wears out too. An additive is in the differential oil to allow the clutch pack function in an oil soaked world. By the way, friction modifier will also slightly increase the TBR of the Torsen.
With the car on a lift and driveshaft constrained, a wheel will show a considerable and consistent resistance to rotate (you are slipping the differential clutch). The other wheel turns in the opposite direction.
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For the Torsen, both tyres need to be in contact with the road for it to work. Many years ago, I was caught out one chilly March. Leaving a village and accelerating from 30mph, my nearside rear caught some residual ice on a manhole cover, with the result that the car neatly span into the grass verge on the opposite side, shattering my fancy GHO 1001 copy nose (being kevlar/carbon fibre probably saved the car, with only the wings slightly bent)
The late NBs and subsequent NCs and NDs have the fuji diff. Its "torque sensing" but a completely different design from the Torsen (for the 2004 Mazdaspeed Turbo, Mazda ditched the Fuji diff, and used an Hitachi-built Torsen). The Fuji diff is the one that spits bits of metal from the drain plug. Not sure what the TBR is on the NB-application, but in the ND, I hear it is a rather weedy 2.0.