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Design demand 2025, geometric method, rural village

Short answer

Population in 2025 by geometric method: 41,214. Design water demand: 2,399 m3/day (27.8 l/s) including domestic, school, livestock, and 15% losses.

Calculate the design water demand for the year 2025 for a rural village of Nepal. Use geometrical method for population forecasting. Census population is:

Year19611971198119912001
Population850010050140001840022800

Take 1 school with 80 boarders and 300 day scholars. Consider live stock demand also.

The last census is 2001, so for 2025, n=2.4n = 2.4 decades.

Population by geometrical increase method

Geometrical increase method

Average growth rate per decade (geometric mean): r=(22,8008,500)1/4−1=27.976%r = \left(\dfrac{22{,}800}{8{,}500}\right)^{1/4}-1 = 27.976\%

P2025=Pn(1+r)n=22,800×(1+0.27976)2.4=41,214P_{2025} = P_n(1+r)^n = 22{,}800\times(1+0.27976)^{2.4} = 41{,}214

Water demand

Design values assumed (Nepal rural water supply practice): domestic 45 lpcd (public taps); day scholar 5 l/d; boarder 45 l/d; office staff 45 l/d with 10 staff per office; big animal (cow, buffalo) 45 l/d; small animal (goat, pig) 5 l/d; poultry 0.2 l/d; health post 1000 l/d; tea shop 500 l/d; losses and wastage 15% of net demand; maximum day factor 1.5 and peak hour factor 3. The number of animals is not given, so I assume one big animal per 10 persons and one small animal per 5 persons of the design population. Fire demand is neglected.

DemandQuantityRateDemand (l/day)
Domestic (45 lpcd)41,21445 l/c/d1,854,628
Boarders8045 l/c/d3,600
Day scholars3005 l/c/d1,500
Big animals (1 per 10 persons)4,12145 l/d185,463
Small animals (1 per 5 persons)8,2435 l/d41,214
Net demand2,086,405

Losses and wastage =15%= 15\% of net demand =312,961= 312{,}961 l/day

Qavg=2,086,405+312,961=2,399,366 l/day=2,399.37 m3/day=27.77 l/sQ_{avg} = 2{,}086{,}405 + 312{,}961 = 2{,}399{,}366\ \text{l/day} = 2{,}399.37\ \mathrm{m^3/day} = 27.77\ \text{l/s}

Answer: Population in 2025 = 41,214; design water demand = 2,399 m3^3/day (27.8 l/s).

✓ Answer checked by Claude Opus 5.5 (high effort)

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