Laminar Flow
Well-known member
Froude's entire career was based on establishing the concept of "relative speed". It allows us to compare the "relative speed of different size vessels. It is known as the Froude number, a dimensionless ratio. It determines the speed of a free running wave: L = 2*Pi*V^2/g, where Pi is 3.14 and g is gravity. This can be reducted to the formula we all know which is: sqr root DWL x a factor of 1.34, which calculates hull speed, when the movement of a hull through the water generates one wave at the bows and one at the stern with a single trough between.
Other "relative speeds" have different wave patterns and , correspondingly, different factors.
Gratifyingly, displacement hulls behave in fairly similar ways.
A relative speed of 0.9, i.e. of sqr root DWL*0.9, is significant, because ,in the related curves for hull resistance, this is near the point where frictional and form resistance diverge and form resistance rises exponentially.
In other words, beyond this speed it requires exponentially more power to reach higher speeds.
Re flat water: Turbulence, regardless what caused it, has a significant effect on lift over a foil. This is the same for keel and rudder foils as it is for sails, where turbulence can be caused by any number of things, including pitching, yawing, rolling etc.
The angle of incidence of wind over a sail actually varies very little from a reach on up. The real problem is, that the vector responsible for the drive may not be pointing entirely in the direction you wish to be going. Closehauled, a sail is still producing the same amount of lift it did on a reach. Sadly, it is simply simply investing a greater portion of it in heeling the boat. You will actually find that in speed polar diagrams for displacement type craft, typical of cruising boats, the variance of speeds, closehauled, reaching and running, is minimal. In this context, I highly recommend the viewing of Fig. 179 & 180, Pg 293 in Marchaj, Theory and Practice of Sailing.
For my comments on how displacement relates to "relative speed" and how much power it requires, I suggest Dave Gerr, "The Nature of Boats". It also contains a chapter on how to make realistic predictions on sailing speeds.
I have a rather useful book called "Motorsegler" (Motorsailer). As the Title suggests, it's in German. As that may make it a little less accessible your side of the Channel, it has some rather interesting data based on tank tests for folding, feathering (3-Blade) and fixed 2 & 3 blade props.
At a relative speed of 0.9 (see above) the speed loss, in %, for different props is (to put that into context I have added the loss in speed for our 28.25 DWL boat at 4.8 kts):
Fixed 3-blade free to rotate 8% (0.4kts)
Feathering and fixed 2- blade 4% (0.19 kts)
Folding - 1% (0,05 kts)
At hull speed (7.12kts, relative speed of 1.34))
Fixed 3-blade, free to rotate - 4% (0.28 kts)
Feathering & fixed 2-blade, 2% (0,14 kts)
Folding 0.5%
As my boat does not have space to swing a folder, the best possible gain I could expect is about 0.2kts with investing a few thousand in a feathering prop. The real problem is if your transmission will not allow a free spinning prop. In which case you may add another 60% to the free spinning 3- blade figures above.
Best, A.
Other "relative speeds" have different wave patterns and , correspondingly, different factors.
Gratifyingly, displacement hulls behave in fairly similar ways.
A relative speed of 0.9, i.e. of sqr root DWL*0.9, is significant, because ,in the related curves for hull resistance, this is near the point where frictional and form resistance diverge and form resistance rises exponentially.
In other words, beyond this speed it requires exponentially more power to reach higher speeds.
Re flat water: Turbulence, regardless what caused it, has a significant effect on lift over a foil. This is the same for keel and rudder foils as it is for sails, where turbulence can be caused by any number of things, including pitching, yawing, rolling etc.
The angle of incidence of wind over a sail actually varies very little from a reach on up. The real problem is, that the vector responsible for the drive may not be pointing entirely in the direction you wish to be going. Closehauled, a sail is still producing the same amount of lift it did on a reach. Sadly, it is simply simply investing a greater portion of it in heeling the boat. You will actually find that in speed polar diagrams for displacement type craft, typical of cruising boats, the variance of speeds, closehauled, reaching and running, is minimal. In this context, I highly recommend the viewing of Fig. 179 & 180, Pg 293 in Marchaj, Theory and Practice of Sailing.
For my comments on how displacement relates to "relative speed" and how much power it requires, I suggest Dave Gerr, "The Nature of Boats". It also contains a chapter on how to make realistic predictions on sailing speeds.
I have a rather useful book called "Motorsegler" (Motorsailer). As the Title suggests, it's in German. As that may make it a little less accessible your side of the Channel, it has some rather interesting data based on tank tests for folding, feathering (3-Blade) and fixed 2 & 3 blade props.
At a relative speed of 0.9 (see above) the speed loss, in %, for different props is (to put that into context I have added the loss in speed for our 28.25 DWL boat at 4.8 kts):
Fixed 3-blade free to rotate 8% (0.4kts)
Feathering and fixed 2- blade 4% (0.19 kts)
Folding - 1% (0,05 kts)
At hull speed (7.12kts, relative speed of 1.34))
Fixed 3-blade, free to rotate - 4% (0.28 kts)
Feathering & fixed 2-blade, 2% (0,14 kts)
Folding 0.5%
As my boat does not have space to swing a folder, the best possible gain I could expect is about 0.2kts with investing a few thousand in a feathering prop. The real problem is if your transmission will not allow a free spinning prop. In which case you may add another 60% to the free spinning 3- blade figures above.
Best, A.