In physics, as well as proven in the wind tunnel by the Wright Brothers, regarding an airfoil in laminar flow, or in our case a hydrofoil or sail, the flow striking the leading edge and separating to follow both sides of the foil WILL arrive at the trailing edge at the same time.
Entirely WRONG, and was the core of the Wright Brothers early experiments and was documented (I believe) within their patent application.
1. If the air stream 'speeded up' on the leeside and yet both 'particles' arrived at the 'same time' it would only because that the air is 'compressible' ... and for the sake of aerodynamics at normal atmosphere pressures and less than supersonic speed, air in accordance to aerodynamics is essentially INCOMPRESSIBLE. At atmospheric pressure, the leeside flow arrives at the leech LATER than the 'windward side' becauae there is MUCH MORE flow on the leeside.
1a. The confusion is what one 'senses' when near a foil that is operating is because on the WINDWARD side of the foil there is a '(vector) component' of the air flow that's GOING
FORWARD along the windward side
which causes the upwash way out in front of the sail/foil, and there is MORE 'rearward' flowing air on the leeside .... because the relative motion of the windward side of the wing/foil is moving forward ... and is 'pushing' air
forward. Way out in front of the oncoming boat/sails,etc., the air then 'gets out of the way of the oncoming' windward side and FORWARD (vector component) windward flow and crosses the 'stagnation point' to the LEESIDE. Because one automatically senses the sum reduction of flow (forward motion or air subtracted from the rearward motion along the windward side one 'perceives' or 'senses' that the leeside flow is somehow 'faster' and the windwards side 'slower' ... but it really isnt FASTER or slower, there is just MORE (amount) flowing on or TO the leewards side, AND the leeside flow 'may' arrive at the 'leech'
much later than the vectorial result of the windward side flow !!!!!!!!!
All that is necessary for 'aerodynamic flow' is that
A. the speed of leeside flow is equal to the speed of the windward side flow AS
it EXITS the sail/foil at the leech - called "kuta condition" (consider this to be the FIRST LAW of aerodynamics of wings/sails) ---- get those leech tales flowing 'straight back'!!!!!!!;
B. that there is an 'upwash' (air
getting out of the way, waaaaay out in front of the
oncoming windward side).
C. the flow across the sail(s) is attached, not separating nor developing 'destructive turbulence'.
D. there is a quite large 'rotor' or circulating vortex of air (starting vortice) 'following' the foil/sail/wing (balancing the 'upwash' that is waaaay out in front of the foil).
E. A sail generates 'lift' ONLY because the air has 'viscosity' (direct energy 'transfer' -by friction- of the winds motion TO the sail/wing/foil), no viscosity or 'fluid friction', NO 'lift' - simple!!!!!!
The Wright Brothers had is Correct ....... and MILLIONS of high school 'science' teachers have had it WRONG since the time of the Wright Brothers (USA is more than 50th out of 196 nations in world ranking of math and science of its highschool students - VERY strong HINT here).
Question? If the USA highschool science class 'stuff' was correct .... wouldnt one expect the flow through the 'slot' between jib and main to be at a higher velocity than the flow on the leeside of the jib and weather side of the main? ..... Actually, The flow in the 'slot' is SLOWER (sometimes approaching ZERO flow velocity) because the forward flow on the WINDWARD side of the jib is CANCELLING the aft flow on the leeward side of the main ..... dont believe it, then take your hand held anemometer and measure it !!!!!!!!! record your observations, then deduct the speed of the boat ---- windward side flow has a FORWARD flowing component .... the air is CIRCULATING around the sail(s)!!!!!!!!
The total vectorial sum of 'aerodynamic' air flow is 2 parts:
A. a vectorial CIRCULATION of air flow AROUND (
forward flow on the windward side and aft flow on the leewards side of a sail/wing/foil, ..... one can SEE the windward forward flow during 'light to moderate wind' condtions when the sails camber (outhaul) is perfectly set for maximum boat speed output of the sail ..... simply by watching the windward side tell tales pointing FORWARD!!!!! .... Plus,
B. the velocity of 'oncoming wind' MINUS the velocity of sail/boat going forward.
HEELING.
not destructive to forward speed of a boat until approx. ~25-30° of heel on 'normal' hulls when skin friction, and sideways 'slip' begins to predominate. Heeling is merely a REACTION of the power of the wind being transferred to the sail in direct opposition to the mass of the 'balast' and 'form stability' of the hull ---- the resultant HEEL is an EQUILBRIUM between the force on the sails and the 'restorative forces': mass of keel plus form stability . Heeling is nothing more than the BALANCE of wind strength (a moment arm or Force times distance) through the 'centroid' (combined CE of the sail plan) .... versus .... the righting forces from the keel mass and/or the form stability of the hull (a moment arm of force times distance).
ADVANTAGES of Heeling:
1. longer waterline length on some hulls ('rule beaters' with larger 'overhangs') - the waterline length get loooonger the further the boat heels over.
2. larger Lateral Resistance (due to deeper immersed hull side)
3. Less 'skin friction' .... broad ultra-beamy boats that have the
least amount of wetted surface area when heeled -- ie.: scows or the modern 'fat assed' or wide-sterned, 'triangular' hull form with flat bottoms aft ... race horses that can perform exceptionally well at ~ 30° (or less) apparent.
4. 'lift' from the curved hull 'side' that is immersed, the other side 'dry' .... again broad beamy boats or planing hull 'skimming dishes'.
..... usually, a well designed boat from a top-notch designer can heel over without much 'penalty' .... TO ITS RAIL in the water; and/or, the boat begins to develop noticeable 'adverse helm' pressure (because the relationship between CE and CLR and/or begins to 'slip' to leeward becomes 'out of balance').
Ignoring the 'pucker factor' of the helmsman, the REAL sign that one is heeled over too far is ADVERSE HELM PRESSURE, or the 'velocity made good' (VMG) begins rapidly 'fall off'. VMG is the 'key' to how far a boat should heel .... of course, if the boat develops a 'heavy helm' due to a large heel angle, the VMG will already be decreasing. The large side area of the 'topsides' that are immersed when heeled over are
added to the 'lateral resistance' ..... dont be afraid of it, use it !!!!
;-)