Design of simple portable sprinkler and drip irrigation system Required data : crop to be planted and climate type soil type and peak consumptive use wind speed( average) Area of plot elevation of collection chamber above irrigated land supply line length . etc peak consumptive use calculation for different crops : from cropwat 8.0 , for Asarghat hydrological station kamalbajar achham station: Asara-ghat achham altitude=1388 m latitude= 28.95 deg. Month January February March April May June July August September October November December Average Min Temp °C 4.2 5 8.1 12.7 15.2 17 17.2 17.1 15.4 12.1 8.6 5.9 11.5 longitude=81.45 deg. Max Temp Humidity Wind Sun Rad Eto °C % km/day Hours MJ/m²/day mm/day 11.8 57 86 6.3 12 1.63 13.3 55 104 6.9 14.7 2.13 17.4 52 121 7 17.4 2.97 22.5 40 147 8.1 20.9 4.4 24.7 44 147 7.9 21.7 4.88 24.9 73 130 4.3 16.7 3.68 23 89 121 2.9 14.4 2.91 22.8 87 104 3.1 14 2.83 21.7 86 95 4.4 14.4 2.73 20.1 60 86 6.6 15 2.75 16.7 51 78 7.3 13.5 2.11 13.9 46 78 6.7 11.8 1.72 19.4 62 108 6 15.5 2.9 thus , mean monthly air temperature (Tmean) =( Tmax mean + Tmin mean )/2 = ( 11.5 + 19.4)/2= 15.45 0 C table (a.) Lengths of crop development stages for various planting periods and climatic regions (days) Crop Init. (Lini) Dev. (Ldev) Mid (Lmid) Late (Llate) Total Plant Date Region a. Small Vegetables Broccoli 35 45 40 15 Cabbage 30 35 30 15 20 30 30 40 30 Carrots Cauliflower Onion (seed) Sweet peppers (bell) Tomato 110 Sept Calif. Desert, USA Sept Calif. Desert, USA 20 100 Oct/Jan Arid climate 60 20 150 Feb/Mar Mediterranean 50 90 30 200 Oct Calif. Desert, USA 35 50 40 15 140 Sept Calif. Desert, USA 35 50 45 10 140 Feb Mediterranean 20 45 165 45 275 Sept Calif. Desert, USA 35 40 20 125 April/June Europe and Medit. 30 40 110 30 210 October Arid Region 30 40 40 25 135 January Arid Region 35 40 50 30 155 Apr/May Calif., USA 25 40 60 30 155 Jan Calif. Desert, USA 35 45 70 30 180 Oct/Nov Arid Region 30 40 45 30 145 April/May Mediterranean 25/30 50/30 135 Table (b) FAO Crop Coefficients (Kc) values : CROP Crop Development Stages Total Initial Crop MidLate At growing development season season harvest period Cabbage 0.40.5 0.7-0.8 0.951.1 0.91.0 0.80.95 0.7-0.8 Cotton 0.40.4 0.7-0.8 1.05125 0.80.9 0.650.7 0.8-0.9 Grape 0.350.55 0.6-0.8 0.70.9 0.60.8 0.550.7 0.550.75 Groundout 0.40.5 0.7-0.8 0.951.1 0.750.85 0.550.6 0.75-0.8 Dry 0.40.6 0.7-0.8 0.951.1 0.850.9 0.750.85 0.8-0.9 Green 0.40.6 0.6-0.75 0.951.05 0.951.05 0.951.05 0.65-0.8 Pea, fresh 0.40.5 0.7-0.85 1.051.2 1.01.15 0.951.1 0.8-0.95 Pepper, fresh 0.30.4 0.6-0.75 0.951.1 0.851.0 0.8-0.9 0.7-0.8 Potato 0.40.5 0.7-0.8 1.051.2 0.850.95 0.70.75 0.75-0.9 Tomato 0.40.5 0.7-0.8 1.051.25 0.80.95 0.60.65 0.75-0.9 Onion Using BLANNEY-CRIDDLE method to find ET0 ( Reference evapotranspiration) and then ET crop = ET0 * Kc from BLANNEY-CRIDDLE method, we have ET0 = P (.457 * Tmean +8.128) where, P= mean percentage of annual daytime hours and mm/day Tmean = mean daily temperature in 0C the value of P depends on latitudes Table 1 MEAN DAILY PERCENTAGE (p) OF ANNUAL DAYTIME HOURS FOR DIFFERENT LATITUDES Latitude North Jan Feb Mar Apr South July Aug Sept Oct 60° .15 .20 .26 .32 55 .17 .21 .26 .32 50 .19 .23 .27 .31 45 .20 .23 .27 .30 40 .22 .24 .27 .30 35 .23 .25 .27 .29 30 .24 .25 .27 .29 25 .24 .26 .27 .29 20 .25 .26 .27 .28 15 .26 .26 .27 .28 10 .26 .27 .27 .28 5 .27 .27 .27 .28 0 .27 .27 .27 .27 May Nov .38 .36 .34 .34 .32 .31 .31 .30 .29 .29 .28 .28 .27 June July Aug Dec Jan Feb .41 .40 .34 .39 .38 .33 .36 .35 .32 .35 .34 .32 .34 .33 .31 .32 .32 .30 .32 .31 .30 .31 .31 .29 .30 .30 .29 .29 .29 .28 .29 .29 .28 .28 .28 .28 .27 .27 .27 Sept Oct Mar Apr .28 .22 .28 .23 .28 .24 .28 .24 .28 .25 .28 .25 .28 .26 .28 .26 .28 .26 .28 .27 .28 .27 .28 .27 .27 .27 Nov May .17 .18 .20 .21 .22 .23 .24 .25 .25 .26 .26 .27 .27 Dec June .13 .16 .18 .20 .21 .22 .23 .24 .25 .25 .26 .27 .27 for Asaaraghat station , lalitude = 28.950 N assuming Crops( cabbage , potato, pepper, tomato ) are transplanted in October 1st thus, from table 1 , P= .29 also Tmean = 15.45 0C therefore, ET0 = P (.457 * Tmean +8.128) mm/day = .29 ( .457 * 15.45+ 8.128) = 4.40 mm/day now using value of crop coefficient for different growth stages of crops and finding the crop water requirements as follow : Table (i) crop water requirements of CROP : CABBAGE Growth stages ( days) Kc ET0 (mm/day) ETcrop (mm/day) Initial (20-30 ) .45 4.4 1.98 Development (30-35) .75 4.4 3.3 Mid season (20-30) 1.025 4.4 4.5 Late season (10-20) .95 4.4 4.2 At harvest (5-10) .875 4.4 3.85 here, maximum ET crop = 4.5 mm/ day Thus, peak consumptive use of cabbage = 4.5 mm/day Table (ii) crop water requirements of CROP : TOMATO Growth stages ( days) Kc ET0 (mm/day) ETcrop (mm/day) Initial (30 ) .45 4.4 1.98 Development (40) .75 4.4 3.3 Mid season (45) 1.15 4.4 5.06 Late season (30) .875 4.4 3.85 At harvest (15) .625 4.4 2.75 here, maximum ET crop = 5.06 mm/ day Thus, peak consumptive use of tomato = 5.06 mm/day Table (iii) crop water requirements of CROP : POTATO Growth stages ( days) Kc ET0 (mm/day) ETcrop (mm/day) Initial (20 ) .45 4.4 1.98 Development (40) .75 4.4 3.3 Mid season (45) 1.125 4.4 4.9 Late season (30) .9 4.4 3.96 At harvest (20) .725 4.4 3.19 here, maximum ET crop = 4.95 mm/ day Thus, peak consumptive use of tomato = 4.9 mm/day Table (iv) crop water requirements of CROP : PEPPER Growth stages ( days) Kc ET0 (mm/day) ETcrop (mm/day) Initial (25 ) .35 4.4 1.54 Development (35) .675 4.4 2.97 Mid season (40) 1.025 4.4 4.5 Late season (20) .925 4.4 4.07 At harvest (10) .85 4.4 3.74 here, maximum ET crop = 4.5 mm/ day Thus, peak consumptive use of tomato = 4.5 mm/day Q.NO. 1) Design of portable sprinkler system @ kamalbajar Achham . Required datas : crop : potatoes soil type : clay loam climate : moderately hot and humid peak consumptive use for potatoes : 4.9 mm/day (from table(iii) above) wind speed( average) : 108 km/day =1.25 m/s (from cropwatt 8.0 ) Area of plot : 120 m * 40 m elevation of collection chamber above irrigated land : 45 m supply line : 400 m f= darcy friction factor = 0.023 ( S.P.P ) & 0.057( H.P.P) solutions: Step(1) : Computation of irrigation interval from table 8.2 ( H.I.S. book) available water for clay loam soil = 90-210 mm per meter of soil depth extractable water for clay loam soil= 45-105 mm per meter soil (say 75 mm/ m soil depth) from table 8.3 ( H.I.S. book) crop rooting depth for potatoes =0.3– 0 .5 m ( say 0.4 m) thus, water available at root zone = 0.4 * 75 =30 mm and irrigation interval = (water available at root zone)/(peak consumptive use )= 30/4.9 = 6.12 say 6 days ( # for safer side) Assuming sprinkler application efficiency = 70 % ( for moderate climate) now, Required application = ( peak consumptive use * irrigation interval) /application efficiency = 4.9 * 6/ 0.7 = 42 mm every 7 days Assuming 8 hours irrigation per day rate of application = 42/8 = 5.2 mm/hr. check intake rate for clay loam : from table 8.5 ( H.I.S. book), intake rate of clay loam soil =( 6 – 8) mm /hr i.e. estimated application rate of sprinkler( 5.2 mm/hr) < intake rate of clay loam . Hence ok Step(2) : Sprinkler selection from sprinkler performance table as shown below select sprinkler to deliver 5.2 mm/hr . Spacing ( along lateral * of lateral ) / precipitation rate(mm/hr) P Q D nozzle size (mm) (atm.) (m3/hr) (m) 6m*5m 6m*6m 6m*7m 6m*8m 6m*10m 2.2 1 0.16 9 5.3 4.4 3.8 3.3 2.5 1.5 0.195 10 6.5 5.4 4.6 4.1 3 2 0.22 11 7.3 6.1 5.2 4.6 3.4 2.5 0.25 12 8.3 6.9 6 5.2 3.9 3 0.275 12 9.2 7.6 6.6 5.7 4.1 where , Q= Discharge per sprinkler , P= working pressure , D= coverage diameter since there is prevailing wind along the direction of lateral , spacing along the lateral must be reduced by 60 % of coverage diameter and spacing in the other direction ( no wind) is 65 % of diameter (for square and rectangular spacing with wind speed = 1.25 m/s < 2 m/s along lateral and no wind in the other direction ) from sprinkler performance table above : Q= Discharge per sprinkler = .22 m3/s P= working pressure = 2 atm = 2 * 10.34 =20.68 m 0f water D= coverage diameter= 11 m thus, spacing of sprinkler along lateral = .6 * 11= 6.6 m ( say 6 m) and spacing of the laterals ( spacing in other direction)= .65* 11= 7.15m (say 7 m) Step(3) : Design of laterals (BC) maximum allowable pressure variation in the lateral = 20 % of 20.68 m= 4.14 m length of each lateral = 60 m leaving 3 m side clearance on each side ( left and right ) along lateral and 2.5 on each side of the lateral we have, main supply line distribution line A lateral L1 2.5 m day 6 16 day 1 7m day 5 day 4 B BBB 22 fs day 2 40444434y6544 6m day 3 C B lateral L2 ( 10 sprinkler per lateral) irrigated plot area ( 120 m * 40 m ) no. of sprinkler along lateral = [{( length of lateral – 2* clearance )/ (spacing of sprinkler along lateral)}+1] = [{(60-2 *30)/6} +1] = 10 (as shown in figure above ) C for 10 no. of sprinkler, total discharge at head of lateral ( discharge per lateral ) = 10* 0.22 = 2.2 m3/hr assume 2 no. of laterals operating per day. from table 8.6 ( H.I.S BOOK ) correction factor for 10 no. of sprinklers ( C ) = 0.402 using maximum allowable pressure variation( head loss ) in lateral ( hL= 4.14 m ) we find the required diameter of lateral pipe as follow : using soft polythene pipe ( S.P.P ) with f = 0.023 as lateral pipe we have , hL =[C* ( f *L * V 2 ) / 2gd ] ………………..(1) but v= QL /A =4QL /𝜋𝑑 2 where d= required diameter of lateral pipe and QL = flow per lateral using ( hL= 4.14 m , f= 0.023,C= 0.402 , QL= 2.2 m3/hr = 6.11 * 10-4 m3/s , g= 9.81 m/ s2 , v= 4Q/𝜋𝑑 2 and L = length of lateral =60 m in eq. 1 ) by back calculation we get dreq.= 0.026m =26 mm ( minimum req. diameter ) as increased size of pipe will reduce velocity of jet and hence head loss so choose 32 mm ( > dreq. and market available ) diameter ( safer side ) soft polythene pipe for the laterals . check headloss for 32 mm pipe : for 32 mm pipe , hL =[ ( f *L * V 2 ) / 2gd ] (with v= ( 4* 6.11 * 10-4 / 𝜋 ∗ 0.0322 ) =.76 m/s thus, hL = 1.3 m < 4.14 (hL max. ) . ok hence adopt 32 mm dia. S.P.P pipe for the laterals . assuming valve loss = 0.5 m , required pressure at head of lateral = 20.68 + 0.5 +1.3 = 22.48 m ( Say 22.5 m) Step(4) : Design of distribution pipe (AB) As the head loss in distribution pipe will vary according to position of operating laterals at one time. When laterals L1 & L2 are in operations the head loss in distribution pipe will be maximum , thus diameter of distribution line must be selected such that distribution head loss is within acceptable limit when laterals L1 & L2 in operations. here, discharge per lateral = 2.2 m3/hr no. of laterals operating at one time = 2 thus , maximum flow in distribution pipe= 2 * 2.2 = 4.4 m3/hr length of distribution pipe line = width of plot = 40 m friction loss of all fittings in the distribution pipe = about 20 % of length of distribution line = 0.2 * 40 = 8 m tus, total equivalent length of distribution pipe L= 48 m recommended ( allowable ) head loss in distribution pipe = 30 % 0f pressure at head of lateral = 0.3 * 22.5 = 6.75 m using hard polythene pipe ( H.P.P ) with f = 0.057 as distribution pipe using head loss euation , hL =[ ( f *L * V 2 ) / 2gd ……………(2) where , V = QD /A =4QD /𝜋𝑑 2 (QD= maximum flow in distribution pipe= 4.4 m3/hr=1.22 * 10-3 m3/s , f= 0.057 , L= 48 m & g= 9.81 m/ s2 from eqn. 2 by back calculation we get d req. = 0.035 m = 35 mm thus adopt 40 mm( safer side ) diameter hard polythene pipe as distribution line . check headloss for 40 mm pipe : for 40 mm pipe , hL =[ ( f *L * V 2 ) / 2gd ] (with [ (V= 4* 1.222 * 10-3/ 𝜋 ∗ 0.042 )=.97 m/s , f=0.057 , L = 48 m ] thus, hL = 3.28 m < 6.75 m (hL allowable . ) . ok Step(5) : Design of supply line here, length of supply line = 400 m = 0 .4 km maximum flow in supply line = 4.4 m3/hr= 1.22 * 10-3 m3/s available head = 45 m ( as collection chamber is 45 m above the irrigated land) thus, required pressure at A = pressure at head of lateral + actual head loss in distribution line = 22.5 + 3.28 = 25.78 m Therefore, Allowable loss in the supply line = 45- 25.78 =19.22 m assuming 50 mm dia. Hard polythene pipe as supply line , we have actual head loss through the supply line is : for 50 mm pipe , hL =[ ( f *L * V 2 ) / 2gd ]………….(3) (with [ V= ( 4* 1.222 * 10-3/ 𝜋 ∗ 0.052 )=.62 m/s , f= 0.057 , L=400 m ] from eqn. 3, hL = 9.01 m < 19.22 m ( allowable loss ) hence ok . hence Adopt 50 mm H.P.P as the supply line Q.NO. 2) Design of simple farmer's portable drip irrigation system @ kamalbajar Achham . Required datas : crop : pepper soil type : silty loam Dripper efficiency = 90 % Ground slope = -1 % peak consumptive use for pepper : 4.5 mm/day (from table(iv) above) wind speed( average) : 108 km/day = 1.25 m/s (from cropwatt 8.0 ) Area of plot : 60 m * 45 m elevation of collection chamber above irrigated land : 45 m supply line : 400 m f= darcy friction factor = 0.057 ( hard Polythene Pipe) solutions: Step(1) : Computation of irrigation interval from table 8.2 ( H.I.S. book) available water for clay loam soil = 60-120 mm per meter of soil depth extractable water for clay loam soil= 30-60 mm per meter soil (say 45 mm/ m soil depth) from table 8.3 ( H.I.S. book) crop rooting depth for peppers =0.5– 1.0 m ( say 0.75 m) thus, water available at root zone = 0.75 * 45 =33.75 mm and irrigation interval = (water available at root zone)/(peak consumptive use )=33.75/4.5 = 7.5 say 7 days ( # for safer side) Assuming dripper application efficiency = 90 % now, Required application = ( peak consumptive use * irrigation interval) /application efficiency = 4.5* 7/ 0.9 = 35 mm every 7 days Assuming 12 hours irrigation per day rate of application = 35/12 = 2.92 mm/hr. check intake rate for silty loam : from table 8.5 ( H.I.S. book), intake rate of clay loam soil =( 7– 10) mm /hr i.e. estimated application rate of dripper( 2.92 mm/hr) < intake rate of clay loam . Hence ok Step(2) : Drip line selection Lateral spacing = 1.5 m ( determined by row spacing of crop ) no. of laterals = width of plot / lateral spacing = 45/1.5=30 Dripper spacing (spacing dripper along laterals ) = 0.5 m ( determined by type of crop and manufacturers dripline specification ) Assuming dripper discharge (discharge per dripper) of 2 litrs/ hr. = 2 * 10-3 m3/hr application rate = (discharge per dripper)/( lateral spacing * dripper spacing ) = ( 2 * 10-3 m3/hr )/ (1.5 *0.5 m2)= 2.66 * 10-3 m/hr = 2.66 mm/hr Required no. of hours of irrigation per day = water available to root zone / application rate = 33.75 mm/ 2.66 mm/hr=12.68 hr thus, Required no. of hours of irrigation per day =12.7 hrs per day Step(3) : Design of lateral ( BC) Assume 16 mm diameter of dripline with average dripper flow rate 2 l/hr and working pressure of 1 atm.( 10.34 m water) per dripper would be used maximum allowable pressure variation in the lateral = 20 % of 1 atm. = 0.2 * 10.34 m of water = 2.06 m length of lateral = 60 m ( length of plot ) no. of dripper per lateral = length pf lateral /dripper spacing = 60 / 0.5 = 120 since discharge per dripper is 2 L/hr thus , for 120 dripper per lateral ( total discharge at head of lateral ) = 120 * 2 = 240 L/hr from table 8.6 ( H.I.S BOOK ) correction factor for 120 no. of drippers ( C ) = 0.351 friction loss in 16 mm dia. low flow thin walled soft polythene pipe , hL = C *( f *L * V 2 ) / 2gd ….(1) where , f= 0.057 , L= 60 m V = QL /A =4QL /𝜋𝑑 2 = ( 0.24 *4 )/( 3600 * 𝜋 ∗ 0.0162) = 0.332 m/s thus, from eqn. (1) , hL = 0.42 m < 2.06 m ( allowable loss) ok hence adopt 16 mm dia. soft thin walled polythene pipe as lateral assume valve loss = 0.5 m Required pressure at the head of lateral = 10.34 m + 0.5 m+ 0.42 m= 11.26 m from table 8.7 ( H.I.S book ), maximum length of 16 mm dia. dripper lateral for 1 atm pressure , dripper discharge 2 l/hr , dripper spacing = 0.5 m ground slope -1 % and maximum flow variation = 10 % is 95 m but for maximum allowable head loss of 2.06 m , L allowable = 102 m > 95 hence ok . main supply line irrigation land ( 60 m * 45 m ) distribution line DAY 7 DAY 6 DAY 5 DAY 4 DAY 3 DAY 2 DAY 1 laterals (total 30 laterals with120 dripers per laterals and 4 laterals operating per day ) Step(4) : Design of distribution pipe (AB) Discharge per lateral = 240 L/hr = 0.24 m3/hr no. of laterals operating at one time = 4 (assumed ) maximum flow in distribution pipe = 4 * 0.24 = 0.96 m3/hr length of distribution line = no. of lateral * lateral spacing = 30 * 1.5 = 45 m friction loss of all fitiings in distribution line = 20 % of length of pipe = 0.2 * 45 = 9 m thus, total equivalent length of distribution line = 45+9 =54 m recommended ( allowable ) head loss in distribution pipe = 20 % of pressure at head of lateral = 0.2 *11.26 m = 2.25 m using hard polythene pipe ( H.P.P ) with f = 0.057 as distribution pipe using head loss euation , hL =[ ( f *L * V 2 ) / 2gd ……………(2) where , V = QD /A =4QD /𝜋𝑑 2 (QD= maximum flow in distribution pipe= 0.96 m3/hr=2.667 * 10-4 m3/s , f= 0.057 , L= 54 m & g= 9.81 m/ s2 from eqn. 2 by back calculation we get d req. = 0.021 m = 21 mm thus adopt 25 mm dia. ( safer side ) hard polythene pipe as distribution line check headloss for 25 mm pipe : for 25 mm pipe , hL =[ ( f *L * V 2 ) / 2gd ] (with [ (V= 4* 2.667 * 10-4/ 𝜋 ∗ 0.0252 )=.54 m/s , f=0.057 , L = 54 m ] thus, hL = 1.83 m < 2.25 m (hL allowable . ) . ok Step(5) : Design of supply line here, length of supply line = 400 m = 0 .4 km maximum flow in supply line = 0.96 m3/hr= 2.667 * 10-4 m3/s available head = 45 m ( as collection chamber is 45 m above the irrigated land) thus, required pressure at A = pressure at head of lateral + actual head loss in distribution line = 11.26 + 1.83 = 13.09 m Therefore, Allowable loss in the supply line = 45-13.09 =31.91 m assuming 32 mm dia. Hard polythene pipe as supply line , we have actual head loss through the supply line is : for 32 mm pipe , hL =[ ( f *L * V 2 ) / 2gd ]………….(3) (with [ V= ( 4* 2.667 * 10-4/ 𝜋 ∗ 0.0322 )=.332m/s , f= 0.057 , L=400 m ] from eqn. 3, hL = 4.0 m < 33.2 m ( allowable loss ) hence ok . hence Adopt 32 mm H.P.P as the supply line