SWCE and Fluid Mechanics

A 10-cm diameter and 12-cm long sharp-edged cylinder was used to collect soil sample. The fresh mass of the sample collected was 1493.5 g and the corresponding dry mass basis moisture content is 15%. The particle density of the sample is 2.65 g/cc. What is the void ratio of the sample?

A fresh soil sample with a mass of 460 g is collected from the field using a cylinder with diameter of 7.5 cm and height of 7.3 cm. After oven-drying, the soil mass becomes 370 g. What is the apparent specific gravity?

The infiltration characteristics of a soil is defined by Lewis-Kostiakov equation with C=5.4 and α=0.287. If the depth of infiltration is in cm while the time is in hour, determine time when the infiltration capacity is 11.5 mm/hour.

What is the cumulative infiltration rate after 30 min for a soil defined by Horton parameters: fo = 100 mm/hr, fc = 20 mm/hr and k = 2/hour?

How much of the available moisture between FC of 30% and PWP of 15% has been depleted if the present moisture content of the soil is 24%?

The soil has a field capacity of 22% and a permanent wilting point of 12%, both on dry mass basis. The bulk density is 1.4 g/cc. If the root zone depth is 1.0 m and the allowable deficit is 45%, the depth to which irrigation starts is

Determine the net depth of application water for a field irrigated by sprinkler system if the field capacity is 28.2% and wilting point is 16.2%, both by volume basis with allowable moisture depletion of 55% and a maximum infiltration capacity of 10 mm/hour. The rooting depth for corn is 1,200 mm.

Three tanks are installed side by side in a field to measure the evapotranspiration of rice. Tank A is bottomless and is grown to crops. Tank B is bottomless but with no crop. Tank C has a bottom and is uncropped. Determine the actual crop evapotranspiration if the water losses after 2 rainless days are as follows: A = 14.0 mm, B 10.0 mm and C = 5.0 mm.

The total observed runoff volume during a storm of 6-hour duration with a uniform intensity of 15 mm/hour is 21.6 MCM. If the area of the basin is 300 km², find the average infiltration rate for the basin?

What is the most appropriate value of Chezy’s C for a uniform flow of 0.5 m3/s through a rectangular concrete channel (n=0.015) with base of 1.2 m and depth of 0.6 m over a bottom slope of 0.0004?

Determine the critical depth for a rectangular canal with the discharge width of 2 m³/s per meter width.

For a rectangular channel that is 10.0 m wide, how high will it possibly jump if the water has a depth of 1.0 m and a velocity of 18.0 m/s?

For a semi-circular channel, determine the actual velocity if the depth of water flow is 1 m, the slope is 0.1% and the roughness is 0.015.

Water flows in a rectangular channel that is 12.0 m wide at a depth of 2.5 m. The channel slope is 0.0028 while the roughness is 0.013. Find the discharge.

Find the depth of flow in a 2-m wide rectangular channel with n of 0.016 that carries a flow of 2.5 m/s of water 1 km with a head loss of 7.5 m.

Compute the discharge using the following information from the gravimetric method of flow measurement in a rectangular canal:

Determine the critical depth for a rectangular canal with the discharge per meter width of 2 m³/s.

What is the depth of water in a trapezoidal channel with z of 2 and carrying capacity of 2.5 m³/s. The channel’s bottom width is 1.5 meters and the velocity of flow is 0.8 m/s.

For a semi-circular channel, determine the actual velocity if the depth of water flow is 1 m, the slope is 0.1% and the roughness is 0.015.

If the mpv is 1.5 m/s, determine the value of the hydraulic radius if n=0.025 and the slope is 0.1%