J
JorgensenSteam
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I have started a design for an open-column twin marine steam engine.
JorgensenSteam said:.....
Below are the calcs for the steam and exhaust ports and passages. The calculations for this engine are not so much for accuracy, but for the purpose of establishing a point of reference so that if something needs to change, you will have a defined point of reference to begin from.
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Given:
Bore: 3"x2
Stroke: 3.75"
RPM: 750 max.
Assume:
Steam port opening velocity: 8,000 feet per minute
"On engines when the steam port is used for both admission and exhaust, the port must be proportioned with respect to the exhaust, that is, the steam should be exhausted at less velocity than the velocity of admission, i.e. usually 6,000 feet per minute" Audel's Engineers and Mechanics Guide, Vol. 1, 1940, p. 185
Steam passage velocity: 6,000 feet per minute
Calculated:
The area of each piston is (pi r squared):
3.1416 * (3/2)^2 = 7 (sq. in.)
The volume of each cylinder that has to be filled with steam for each revolution of the crankshaft is:
7 * 3.75 = 26.5 cubic inches
Excessive piston velocity needs to be avoided. The piston velocity for this engine is:
(Max. RPM) * (engine stroke / 12) * 2
750 * (3.75/12) * 2 = 468.75 feet per minute
or divide by 60 to get 7.8 feet per second.
The port length will be 80% of the cylinder diameter (common range was 70-90% of cylinder diameter).
Port length will be:
0.8 * 3 = 2.4 inches
The steam port area required will be:
(piston area) * (piston velocity in fpm) / (steam port velocity)
(7 * 468.75) / 8,000 = 0.4101 (sq.in.) (minimum required steam port area)
The area of the steam port will is found as follows:
Area of steam port = (area of piston in sq.in. x piston speed in ft.) / 6000
or (7.07 x 4.68.75) / 6000 = 0.5523 sq.in.
The steam passage area required will be:
(7 * 468.75) / 6,000 = 0.5468 (sq.in.) (minimum required steam passage area)
For the port length given above of 2.4 inches (80% of the piston diameter), then the steam port width would be:
steam port area / steam port length
0.4101 / 2.4 = 0.1708 (inches) (minimum required steam port width)
0.5523 / 2.4 = 0.2301
The steam passage area would be:
0.5468 / 2.4 = 0.2278 (inches) (minimum required steam passage width)
When power is the main design consideration, and not necessarily efficiency, then many designers use a generous port/passage dimension in order to avoid an wire drawing, so we will use a steam port and passage dimension of 2.4 inches long and 0.23 inches wide.
Interesting that you have come up with the same amount
Standard multi-flute medium helix end mill sizes are 3/16" (0.1875) and 1/4" (0.25), and some would opt to use a 0.25" steam port, but we will use a 0.1875" milling bit, and use a 0.23" steam port width. Calculations are typically based on a port with square ends, but we will use a port with round ends, as was typically used. A square-ended port would be prone to cracking anyway.
The minimum steam pipe size needs to be at least as large as the steam passage we are using:
2.4 * 0.23 = 0.552 (sq.in.) (steam passage area)
A 3/4 inch schedule 40 steel pipe has an inside diameter of 0.824 inches, or an area of 0.533 (sq.in.), which would work, but since there will be a pressure drop between the boiler and the engine due to restrictions in the steam pipe, the next larger size pipe will be used for the steam line.
Using a 1 inch schedule 40 steel pipe for the steam line gives 0.8642 (sq.in.), which will work for our steam line to the engine from the boiler.
The exhaust port is typically twice the width of the steam port, or 0.46 inches.
The minimum area of the exhaust pipe should match the exhaust passage area. The exhaust passage area will be:
2.4 * 0.46 = 1.104 (sq. in.) (exhaust passage area)
A 1 inch schedule 40 steel pipe has an inside diameter of 1.049 inches, and an inside area of 0.8642 sq.in., which would be too small.
A 1.25 inch schedule 40 steel pipe has an inside diameter of 1.38 inches, and an inside area of 1.49 sq.in., which would work for our exhaust pipe.
The idea behind the steam port and passage calculations is to have ports/passages large enough to provide near boiler pressure for the entire stroke of the piston. If the ports/passages are too small, then the steam pressure will drop as the piston progresses down the cylinder, and this is indicated by a drop in the top indicator curve prior to cutoff. Ports/passages that are too small will also introduce "wire drawing" which is just a restriction in the flow of steam that prevents full boiler pressure from being applied to the piston.
The faster the engine operating RPM, and the faster the piston is moving, the larger the ports/passages need to be, since the volume to be filled with steam is changing rapidly.
The crankshaft throw will be 1/2 the stroke, or 1.85 inches.
JorgensenSteam said:I consider many of the guys on this forum as superb machinists, and you can tell just by looking at their work and reading their posts, but it would be a stretch to call me a machinist just yet.