CIVE 445 - ENGINEERING HYDROLOGY

SPRING 2004 - MIDTERM 1 - SOLUTION

PROBLEM 3

T = 15oC

Qn = 600 cal/cm2/d

v2 = 150 km/d

RH = 70%


The saturation vapor pressure at the overlying air temperature of 15oC is: 

eo = 17.04 mb

For the given climatic conditions, the mass-transfer evaporation rate according to Dunne is:

Ea = (0.013 + 0.00016 × 150) × 17.04 × [(100 - 70)/100] = 0.189 cm/d

The water density and heat of vaporization is:   

ρ = 0.999 gr/cm3, and

λ = 588.9 cal/gr.

The evaporation rate due to net radiation is:

En = (600 cal/cm2/d) / (0.999 gr/cm3 × 588.9 cal/gr) = 1.02 cm/d

Penman's ratio (Table 2-4):

α = 1.66

The evaporation rate by the Penman formula is:

E = (1.66 × 1.02 + 0.189) / (1.66 + 1) = 0.71 cm/d.   ANSWER.

Problem 4

 
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