You are the Chief Engineer for a prominent hydraulic engineering consultancy. Yo

Question

You are the Chief Engineer for a prominent hydraulic engineering consultancy. Your client wants to pay you lots of money to design a system to deliver 1 m3/s from reservoir A Ca=0.3 km) to reservoir B (zB = 0.5 km). Between the two reservoirs the variation in elevation is given by z" = a+bx* + cx*2 where z" = z/&z; with z = 0.2 km; and x* = x/L, where x is the horizontal distance from A, and L is the horizontal distance (in km) from A and B (where L is equal to the first three digits of your student number). The maximum pipe elevation occurs at x* 0.6 Note 1: Theoretically, a pipeline may be designed to allow pressure to fall to the vapor pressure. In practice, however, water usually contains dissolved gasses that w vaporize l before the vapor pressure point is reached. Such gasses dissolve very slowly. They can move with the water in the form of large bubbles that disrupt the flow. Therefore, negative pressures shouldn't be allowed to exceed about 70% of atmospheric pressure-use this figure in your design calculations. Assume atmospheric pressure is 98 kPa. Note 2: The pressure rating of a pipe is the maximum pressure that it can withstand for computing a, b and c, and the maximum pipe elevation, zm |

Explanation / Answer

to calculate a, b, c simple math ie more then enough

we have three equations and three unknowns.

given that

at X*A = 0 Z* = 0.2 km

  X*B = L, Z* = 0.5 Km

and for maximum

dz*/dx* = 0 or 2cx* +b = 0 at x* =0.6

hence with these three equation , three unknown can be calculated

plz do comment for any query.

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