Wardi said:
...Assuming the boat plus skipper weighs 120Kg, The main foil is initially rectangular 140cm x 14cm (aspect ratio 10:1) and that this takes the entire lifting load.
It is a simple symmetrical foil with thickness 14% of the chord length.
1) What is the actual total resistance in Kg of such a foil at 8 kts, 16kts and 24kts..a graph would be nice

. What are the main components of this resistance, ie profile drag, induced drag and friction etc.
The 140x14 cm foil supporting 120 kg has a loading of 612 kg per square meter. At 8 kt, the lift coefficient is 0.69; at 16 kt, 0.17; at 24 kt, 0.08. Aspect ratio is 10, and assuming a span efficiency of 0.9, the induced drag coefficients are 0.0169, 0.0010, and 0.0002.
A 14 cm chord has a Reynolds number of about 75,000 per kt. So the Reynolds numbers of interest are 600,000, 1,200,000, and 1,800,000. A 14% thick foil like the NACA 64 014 has profile drag coefficients at these conditions of 0.0131, 0.0064, and 0.0057. According to XFOIL (Ncrit = 3).
From Hoerner, A T intersection has a drag coefficient based on thickness of 17*(t/c)^2 - 0.05, resulting in a drag coefficient based on foil area of 0.0003.
So the total drag of the foil is [8 kt, Re 600,000, CL=0.69, CD=0.0303] 5.3 kg; [16 kt, Re 1,200,000, CL=0.17, CD=0.0077] 5.4 kg; [24 kt, Re=1,800,000, CL=0.08, CD=0.0062] 9.7 kg.
This doesn't include the drag of the strut, which will add profile drag and its own induced drag. And, by changing the lift distribution on the lifting foil (due to side load on the strut), it can increase the induced drag substantially. It would take something like a vortex lattice or panel code to estimate these 3D interference effects.
2) What is the total resistance at the same speeds if I split it into 2 foils each half the width, equally sharing the load. .
By "width" I'm not sure if you are talking span or chord. I'll assume you are talking about the span, and simply cutting the foil in half while using the same molds, etc. The induced drag goes up by a factor of 4 because you've halved the span. Presumably there's also a second strut. So the total drag would be 8.3 kg, 6.3 kg, and 10.5 kg.
3) How much improvement in total resistance can I achieve by making a thin foil say 8% thick, or using the special configurations you have previously mentioned..
Cutting the thickness to 8% results in a nasty leading edge stall at Re=600,000, alpha = 5.7 degrees, Cl = 0.61. The profile drag coefficients for the other conditions are 0.0096 and 0.0088. The reason for the drag increase appears to be the formation of a leading edge suction peak that didn't exist for the thicker section, although Cl=0.08 is pretty much the design condition for the 8% section.
Moving the max thickness forward by switching to a NACA 63 008 softens the leading edge suction peak, solves the stall problem and results in profile drag coefficients of 0.0130, 0.0068, and 0.0053.
4) What happens to the total resistance if I increase the total width (area) of the single foil by 20% or decrease the total width (area) by 20%..
It's not clear whether you're preserving the span here or not. If you keep the chord the same, the profile drag will vary in proportion to the area (
+20%) and the induced drag will go down by 30% in the first case and up by 40% in the second case.
...What in your opinion would be the best single foil arrangement to give the very best all round performance. Ideally we are after lowest take off speed and highest top end speed...
That's the key question, isn't it! A fully submerged foil has a U-shaped drag curve with speed. At low speeds the induced drag predominates. At high speed, the parasite drag is paramount. For the classic parabolic drag polar, the best lift/drag ratio occurs when the induced drag equals the total parasite drag (including foil, strut, rudder, etc.). You could size the foil to place this condition at takeoff. That would result in the minimum takeoff speed, but excessive area at high speed.
Another strategy would be to minimize the maximum drag, so both the lowest and highest speeds have the same drag, and the minimum occurs in the middle of the speed range. This would result in rapid acceleration once you got flying, but may take more wind to get foilborne.
A surface piercing foil can be designed to have esentially constant drag over the whole speed range. At any given speed, a fully submerged foil can be designed that has lower minimum drag. But if the design speed range is wide enough, the maximum drag of the fully submerged foil can exceed that of the surface piercing foil at both high and low speed.
So there's no single best foil solution, any more than there's a single best rig or hull shape.