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- This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1901 Excerpt: ... the bucket, »!«»-cxt wx = v; u = cx-v2,w2 = u; and we shall assume va = 0-85 vv It is easily seen that wx-wa = (1 + )(v-Ci), and the hydraulic efficiency (1 + )(»-Ci)C, while the moment produced by the pressure of the water on the wheel is T = lr(l + )(v-Cx), See Chapter xxii., figs. 133 to 135.-where r is the mean radius of the buckets in feet. The former equation shows that if v be taken as ordinate, and v as abscissa, the resulting curve is a parabola, and the latter that if T be taken as ordinate, and t as abscissa, a straight line is obtained, which meets the axis of when = v. The greatest value of v is given by £ = 0-5, whatever X may he, and this maximum efficiency is,-! +-0-925--" 2 2grH 2gK when is 0 85, and allowing 4 per cent loss of head in the guide passages, V = 0-89. The maximum net efficiency would be obtained at a speed a little less than-?, because of the friction of the air and 2a that of the hearings, which incrr ases with the speed. Case 2. Design of Axial Flow Impuht Wheels.--We suppose that the water in its passage through the wheel remains at the same distance r from the axis, which is the mean radius of the wheel passages. Fig. 123 illustrates a graphic method of dealing with the deaign. AB = r, the absolute velocity of flow from the Fio. 123 guide passages. We shall suppose it to have a constant value; while the velocity AC = cxt that of the mean radius of the wheel passages, varies, a and 6 remain invariable, but t is supposed to change, so that inflow may take place without sudden change of direction. Up The angle CAB is 20 deg., the mean value in practice; AE=wi1 while CB is vx, the relative velocity of the inflow to the wheel. Were it not for shock npon the ends of the vanes at inflow to tbe wheel...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1901 Excerpt: ... the bucket, »!«»-cxt wx = v; u = cx-v2,w2 = u; and we shall assume va = 0-85 vv It is easily seen that wx-wa = (1 + )(v-Ci), and the hydraulic efficiency (1 + )(»-Ci)C, while the moment produced by the pressure of the water on the wheel is T = lr(l + )(v-Cx), See Chapter xxii., figs. 133 to 135.-where r is the mean radius of the buckets in feet. The former equation shows that if v be taken as ordinate, and v as abscissa, the resulting curve is a parabola, and the latter that if T be taken as ordinate, and t as abscissa, a straight line is obtained, which meets the axis of when = v. The greatest value of v is given by £ = 0-5, whatever X may he, and this maximum efficiency is,-! +-0-925--" 2 2grH 2gK when is 0 85, and allowing 4 per cent loss of head in the guide passages, V = 0-89. The maximum net efficiency would be obtained at a speed a little less than-?, because of the friction of the air and 2a that of the hearings, which incrr ases with the speed. Case 2. Design of Axial Flow Impuht Wheels.--We suppose that the water in its passage through the wheel remains at the same distance r from the axis, which is the mean radius of the wheel passages. Fig. 123 illustrates a graphic method of dealing with the deaign. AB = r, the absolute velocity of flow from the Fio. 123 guide passages. We shall suppose it to have a constant value; while the velocity AC = cxt that of the mean radius of the wheel passages, varies, a and 6 remain invariable, but t is supposed to change, so that inflow may take place without sudden change of direction. Up The angle CAB is 20 deg., the mean value in practice; AE=wi1 while CB is vx, the relative velocity of the inflow to the wheel. Were it not for shock npon the ends of the vanes at inflow to tbe wheel...
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