ugg Boots Billig Tank bottom and the calculation o

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Tank bottom and the calculation of the amount of programming

Diameter r (i = 1,2 ...,), divided equally throughout the circumference section radius of the surface shown in Figure 1. . \. / Volume pad: Q Figure 1 with the water level measured height of the measuring point (i = 1,2 ...,: 1,2 ...,, the same below), and the height measurement reference point Br. Is relative to the base level (including the reference point of the horizontal plane), the relative height of measuring point: Br a ¨ a ¨ (where \surface point is negative. Small volume is equal to the circumference of the adjacent surface, adjacent to the radius of the surface of the tank bottom and the formation of base-level volume. Below the base level of the small volume (ie the liquid volume) is dead volume, higher than the base level of the small volume of displacement, the cylindrical tank minus the volume of liquid with a high degree of displacement is the end of a high volume,[link widoczny dla zalogowanych], see Figure 2. The amount of dead volume of the end of h ¨ 'i Figure 2 small cans out the end of the first i ・ shown in Figure 3, in the same circle on the two measuring points LL averaged height: one. h, assuming the shape from the bottom of the tank circumference r-ri +1 linearly, as shown in Figure 4. All the pieces are handled this way,[link widoczny dla zalogowanych], segmentation of the small number of the more errors caused by this treatment the less. A total of 6 possible shapes of the pieces shown in Figure 5. rlr \this plane uniform rotating body cut into pieces, the size of the 6 pieces can be seen as the volume of the following combination of 3 pieces,[link widoczny dla zalogowanych], including: foot = Si.j-Figure 61. Figure 6 is a triangle around the y-axis abc rotation of the rotating body, and its small size is: when y = y when: vr3 (r; a r; a 1) a 3kr + k2y.] when y = h when: (r; + T'i-1T'i a 2r2. Figure 7 is a triangle abc rotation around the y axis body, and its small size is: When the yy time: [3 (r; a r; a 1) a 3 foot y2-kY.] ・ 28 ・ When = Time: =. nh (2r; eleven l a r; a 1) 3. abcd Figure 8 is a rectangle around the y-axis rotation of the rotating body, and its small size is: when Y = h when: vh = Figure 7 for a map 8 Third, at the end turn out the calculation of the amount of each piece, with A = h-l × h block of symbols to determine the shape: If the amount is dead, then the calculation of the volume of the entire piece; if it is displacement, then envisaged that small water plane sections, each piece of high displacement lOmm, calculate the volume. Figure 9 is a procedural flow chart. superposition of each piece of dead volume, and ultimately die bottom of the tank is equal to the amount of the same height (1Omm) emission volume overlay, and then with a high degree of circular tank volume (107tr ~) minus the amount of displacement is the end,[link widoczny dla zalogowanych], may be prepared as per cm height of the bottom scale. Fourth, experiments to verify the accuracy of the calculation method, this paper accurately level of 0.5 on the nominal turbine flow meter of tank volume 2000m3 volume was measured at the end. measured data and calculated results in Table 1. from Table 1, the calculated and measured data, the maximum deviation is 0 .4%. I think the main cause of the error is the following: (1) bottom of the tank is not a whole but by the number of small steel plates welded together, as a small plate discontinuity between the errors generated. (2 ) the process of measuring instruments and measurement errors exist, the error caused by the original data. (3) a limited number of partitions of tank bottom, making the mathematical model of small differences in the actual shape of the error caused. but think: With the bottom of the tank division increases, this part of the error will be further reduced, while in theory: If the number of partitions approaches infinity,[link widoczny dla zalogowanych], the mathematical model of small pieces of the actual bottom of the tank tends to error equal to the minimum. Experimental results show that: The more in line with the results the actual situation. Table 1 Figure 9 Height (cm) calculated the volume (L) measured volume (L) deviation (%) 0237238-0.415425442965968j153715444567892272226231623173423942500.4-0.3-0.4-0.4-0.3_0.254155435 -0.466626681-0.379677987-0.2 References [1] Tang Simeng. on the tank bottom for the computer algorithm. metrology .1997 salt pad QQ: 279 (11): 36 ~ 38 [2] Lian Yu Ying. JJG168-87 vertical metal tank capacity pilot verification. National Metrological Verification Series (volume density) 1987,157177-29 *

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