barts wrote: ↑Wed Jan 26, 2022 10:35 pm
a simple engine of 3" bore and 4" stroke would produce 5 hp. This is exactly the dimensions of the 5 hp Semple engine, built many years ago.
Somehow I don't know how that calculation can come out to 5.
I have an engine of exactly 3" bore x 4" stroke, two identical cylinders and that is 6HP. (Both sold as 6HP/6.25HP and the PLAN comes out to the same result as you can see below)
The unit of power is a "horsepower" and is defined as the amount of power necessary to raise 33,000 lbs. one foot in one minute. The horsepower of an engine is equal to the total pressure on the piston multiplied by the number of feet it travels per minute and divided by 33,000.
The total pressure on the piston is equal to the area in square inches multiplied by the pressure per square inch, and this pressure is not constant but varies, being nearest boiler pressure during the early part of the stroke and decreasing after the point of cut-off is reached, as the steam expands to fill the space back of the piston, until the end of the stroke.
This pressure can be measured only by means of the steam engine indicator but we can assume a value which approximates the correct one. This we will take to be 50% of the boiler pressure. If we have a boiler pressure of 130 lbs., our average pressure per square inch, or "mean effective pressure," (MEP) as it is called, will be 50% of 130 lbs., or 65 lbs. This multiplied by the area of the piston will give the total average pressure on the piston in pounds. The area of a circle is equal to its diameter multiplied by itself and the product by .7854.
The travel of the piston is equal to twice the stroke, there being two strokes for each revolution, multiplied by the number of revolutions per minute. As the length of the stroke is usually given in inches this product must be divided by 12 to reduce the result to feet per minute.
The basic formula is PLAN/33000 which gives the theoretical horsepower, ignoring friction losses.
Where:
P=Mean Effective Pressure in Cylinder (MEP) (is equal to boiler pressure psi/2)
L=Length of Stroke in FEET (add times 2 for Double acting engine)
A=Area of Piston in Inches
N=Revolutions per minute
Here is an actual example of a PLAN calculation of a 2 cylinder double acting engine (1902 Toledo)
RPM = 220
200 PSI Boiler Pressure
3" Bore
4" Stroke
2 * 4 * 220 / 12 = 146.666 (travel of piston in feet per minute.) (2 is for a double acting engine)
3 x 3 x 0.7854 = 7.0686 (area of piston in square inches.)
7.0686 x 100 = 706.86 (total pounds pressure on piston) (MEP is 1/2 boiler pressure)
P*L*A*N/33000 = 706.86*146.66/33000 = 3.14HP
3.14 * 2 cylinders = 6.28HP
-CB
* Quote from this thread on smokstak:
https://www.smokstak.com/forum/threads/ ... ion.72483/
P.S. In regards to the original poster's question: If somebody asked me how many HP half of my engine was I would say around 3HP. You can play with the inputs to the PLAN equation and alter the result - but unless the inputs are plausible, you will never see that HP.
You could try to increase the RPM for example, but depending on the size of the propeller and any gearing you might have in between, a large propeller (18"-21" diameter) will limit your max rpm. The faster I spin my prop, the bigger the load on the engine. I am not able to run my engine as high as 400rpm, so putting 400rpm into PLAN will yield an implausible result.
There are other schools of thought on this - there are other steamboaters out there who use smaller diameter modern style of propeller at higher steam engine rpm.
You can definitely use PLAN to help you design your engine.
More important than the HP I would recommend considering a decent reversing valve gear. I really don't recommend a slip eccentric reversing gear. The idea behind this is after the engine is warmed up, it should be able to respond quickly to a change at any engine angle. I find my two cylinder simple double acting Toledo to be very response with the Stephenson valve gear and 90 degree out of phase pistons. Remember you'll be in a boat and may need to maneuver. Using your hand to reverse the flywheel on a slip eccentric can easily mash and abraid that hand, with enough HP it may be a more severe injury.