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The Kinetic Water Pump

DIAPHRAGM MODEL

A way to greatly reduce steam condensation is illustrated in Figure 3. With this configuration, working fluids other than water can be used. It requires a flexible, stretchable material such as rubber to separate the working fluid from the water to be pumped. Most such materials are good thermal insulators. The system would be limited by the working temperature of the material.

This design functions in a similar manner to the one shown in Figure 2. High-pressure steam or other vapor enters the Chamber in which there is a diaphragm sealed around the edges. The diaphragm is forced upward and causes water to flow into the Acceleration Tube. With a partial vacuum ahead of it, the water column accelerates and accumulates kinetic energy until it hits the Check Valve.

CALCULATIONS OF PERFORMANCE

 Computer programs have been written to simulate the performance of the Kinetic Pump, taking into consideration tube diameter and length, water turbulence and drag on the walls of the tube, steam pressure and volume, and other parameters of different geometries of the system. The program keeps track of the enthalpy changes by interpolating in steam tables and uses this to calculate the overall efficiency.

The Table 1 gives the theoretical performance values from the computer simulations. Each row is calculated for a set of input parameters for one kilogram of steam per cycle. (In an actual device, the quantity of steam per cycle would be considerably smaller). The pump pressure in each case in this table is 70 bars (1,015 psi), although the program is designed to run with any pump pressure. Note that the pump works well when the steam pressure is only 20 bars even though the system is pumping water to 70 bars. Efficiencies are higher for higher temperatures.

 

  Figure 3: Diaphragm separation of working fluid and pumped liquid.

Figure 3. Diaphragm separation of working fluid and pumped liquid. Many of the details shown in Figure 2 are left out of this drawing.

 

Steam pressures are given in bars (example, 70 bars = 1,015 psi). The reason for the odd steam temperatures is that the computer calculations were made on the Kelvin scale (427 ° C = 700 K). Energy and Enthalpy are given in kilojoules (kJ). The final column gives the theoretical efficiency. In all of these cases, the pump pressure is 70 bars. The numbers are for one kilogram of steam for each cycle. The initial pressures and temperatures are those with which the steam enters Chamber A. The final pressures and temperatures are those of the steam after expansion when the water stops flowing. The “volume of water pumped” is the quantity of water in cubic meters pumped per cycle at 70 bars.

20.000

427.000
3.971
223.400
656.422
2565.496
0.094
25.5

20.000

427.000
2.133
161.941
759.170
2723.660
0.108
27.8

20.000

727.000
1.742
331.343
1154.969
3095.258
0.165
37.2

30.000

427.000
2.446
144.316
899.631
2729.331
0.128
32.8

30.000

727.000
2.453
333.051
1325.256
3066.738
0.189
43.1

30.000

1227.000
2.453
636.070
1985.965
3739.251
0.283
53.0

40.000

427.000
6.433
207.093
679.311
2520.510
0.097
26.7

40.000

427.000
3.688
155.028
767.281
2662.018
0.109
28.6

40.000

427.000
2.041
105.830
850.418
2798.222
0.121
30.2

40.000

727.000
6.461
421.452
1013.373
2835.617
0.145
35.5
40.000
727.000
3.702
348.249
1146.866
3007.462
0.164
38.0
40.000
1227.000
3.701
658.859
1740.436
3677.164
0.248
47.2
60.000
427.000
7.926
187.998
694.041
2499.135
0.099
27.5
70.000
427.000
7.634
170.116
714.114
2515.932
0.102
28.1
70.000
427.000
4.467
123.732
789.524
2649.280
0.113
29.5
70.000
727.000
4.492
304.391
1244.901
3054.535
0.178
40.5
70.000
1227.000
4.492
593.073
1900.330
3784.978
0.271
50.0

 

A number of parameters may be varied to get the desired results. Having a larger diameter Acceleration Tube allows the Tube to be shorter, provides lower velocity water flow, and offers less friction of the water against the wall. It also provides less heat loss to the wall. Making the Tube longer and having a greater length of water also gives lower water velocity.

It should be recognized that the efficiencies listed in the last column are theoretical efficiencies. If we assume that the system will attain only 80% of that, the operational efficiencies would still be excellent. This number represents the energy of the pumped water compared to the heat input. If this were a turbine, the energy would yet have to go through a gearbox and a mechanical pump before the high-pressure water would be produced.

EXPERIMENTAL RESULTS

 Since steam was not initially available, an experimental Kinetic Pump (called “Model 1”) was constructed that ran with compressed air. A small tank (called a “driver tank”) was mounted above the Acceleration Tube on the right side (above Chamber A of Figure 2). The driver tank was filled with compressed air, and the valve from the compressor was closed. A valve at the bottom of the tank was quickly opened to allow the compressed air to accelerate the water in the tube. The pressure in the Surge Tank was typically considerably higher than the pressure in the driver tank.

With this simple system, the constant pressure portion of the water acceleration was missing, and only the adiabatic expansion portion was involved. About twice as much water would be pumped if both the constant pressure and adiabatic expansion were involved.

The experimental results were surprisingly close to the computer calculations. Table II gives typical experimental results and a comparison with the computer results. Since this was a small system with only a 3/4-inch ID Acceleration Tube, about a third of the energy was lost to friction between the water and the tube wall (in both experiment and calculation). A larger diameter tube would reduce the loss considerably.

Note that with only 20.6 psi in the driver tank, water was still pumped into the 100 psi Surge Tank.

This table gives some experimental results of a small Kinetic Pump with a 3/4 inch inside diameter Acceleration Tube that was 137 inches long. Some units are English, and some are metric. The last column compares experiment with calculation. “Pumped Water” means the amount of water that was pumped into the high-pressure Surge Tank for each pulse. The pressure in the Surge Tank is listed as “Pump Pressure.” The “Free Run” gives the distance through which the water can accelerate before it strikes the Check Valve. The volume of the driver tank was 240 cubic centimeters.

26.1

50.1

23.5

47

47

100

38.2

76.0

11.5

37

39

95

38.1

76.0

9.5

31

36

86

38.1

75.9

13.0

38

40

95

37.7

75.8

23.5

46

43

107

37.4

75.5

17.5

41

42

98

51.7

100.6

14.0

40

41

98

51.9

100.3

24.5

46

43

107

76.0

100.0

14

60

61

98

75.8

100.3

20

61

63

97

31.7

100.1

12.7

24

25

96

20.6

100.0

16.7

18

20

90

We later constructed Model 2, which was larger and had an Accelerator Tube with an ID of 1.87 inches. Rather than having a flow of about 40 ml per pulse as in Model 1, Model 2 gave about 250 ml per pulse. Runs were made with 300-psi pressures in the Surge Tank, and the unit performed near calculational values. Our compressor would not go to higher pressures.

Introduction | Part 1 | Part 2 | Part 3 | Part 4

 

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