Numerical (Water)

Find the rate of change of depth of water in a rectangular channel of 12 m wide and 2 m deep, when the water is flowing with a velocity of 1.5 m/s. The flow of water through the channel of bed slope 1 in 3000, is regulated in such a way that energy line is having a slope of 1 in 8000.

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Gradually Varied Flow – Rate of Change of Depth Problem Statement Find the rate of change of depth of water […]

Find the rate of change of depth of water in a rectangular channel of 12 m wide and 2 m deep, when the water is flowing with a velocity of 1.5 m/s. The flow of water through the channel of bed slope 1 in 3000, is regulated in such a way that energy line is having a slope of 1 in 8000. Read More »

A sluice gate discharges water into a horizontal rectangular channel with a velocity of 8 m/s and depth of flow is 0.5 m. The width of the channel is 6 m. Determine whether a hydraulic jump will occur, and if so, find its height and loss of energy per kg of water. Also determine the horse power lost in the hydraulic jump.

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Hydraulic Jump Analysis in a Rectangular Channel Problem Statement A sluice gate discharges water into a horizontal rectangular channel with

A sluice gate discharges water into a horizontal rectangular channel with a velocity of 8 m/s and depth of flow is 0.5 m. The width of the channel is 6 m. Determine whether a hydraulic jump will occur, and if so, find its height and loss of energy per kg of water. Also determine the horse power lost in the hydraulic jump. Read More »

The depth of flow of water, at a certain section of a rectangular channel of 5 m wide is 0.6 m. The discharge through the channel is 15 m³/s. If a hydraulic jump takes place on the downstream side, find the loss of energy per kg of water due to hydraulic jump.

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Hydraulic Jump Energy Loss Calculation Problem Statement The depth of flow of water, at a certain section of a rectangular

The depth of flow of water, at a certain section of a rectangular channel of 5 m wide is 0.6 m. The discharge through the channel is 15 m³/s. If a hydraulic jump takes place on the downstream side, find the loss of energy per kg of water due to hydraulic jump. Read More »

The depth of flow of water, at a certain section of a rectangular channel of 5 m wide is 0.6 m. The discharge through the channel is 15 m³/s. If a hydraulic jump takes place on the downstream side, find the depth of flow after the jump.

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Hydraulic Jump Calculation Problem Statement The depth of flow of water, at a certain section of a rectangular channel of

The depth of flow of water, at a certain section of a rectangular channel of 5 m wide is 0.6 m. The discharge through the channel is 15 m³/s. If a hydraulic jump takes place on the downstream side, find the depth of flow after the jump. Read More »

The specific energy for a 6 m wide rectangular channel is to be 5 kg-m/kg. If the rate of flow of water through the channel is 24 m³/s, determine the alternate depths of flow.

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Alternate Depths Calculation Problem Statement The specific energy for a 6 m wide rectangular channel is to be 5 kg-m/kg.

The specific energy for a 6 m wide rectangular channel is to be 5 kg-m/kg. If the rate of flow of water through the channel is 24 m³/s, determine the alternate depths of flow. Read More »

The discharge of water through a rectangular channel of width 6 m, is 18 m³/s when depth of flow of water is 2 m. Calculate : (i) specific energy of the flowing water, (ii) critical depth and critical velocity and (iii) value of minimum specific energy.

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Specific Energy and Critical Flow Calculation Problem Statement The discharge of water through a rectangular channel of width 6 m,

The discharge of water through a rectangular channel of width 6 m, is 18 m³/s when depth of flow of water is 2 m. Calculate : (i) specific energy of the flowing water, (ii) critical depth and critical velocity and (iii) value of minimum specific energy. Read More »

Water is flowing through a circular channel at the rate of 500 litres/s. The depth of water in the channel is 0.7 times the diameter and the slope of the bed of the channel is 1 in 8000. Find the diameter of the circular channel if the value of Manning’s, N = 0.015.

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Circular Channel Diameter Design Problem Statement Water is flowing through a circular channel at the rate of 500 litres/s. The

Water is flowing through a circular channel at the rate of 500 litres/s. The depth of water in the channel is 0.7 times the diameter and the slope of the bed of the channel is 1 in 8000. Find the diameter of the circular channel if the value of Manning’s, N = 0.015. Read More »

A power canal of trapezoidal section has to be excavated through hard clay at the least cost. Determine the dimensions of the channel given, discharge equal to 15 m³/s, bed slope 1 : 2000 and Manning’s, N = 0.020.

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Most Economical Trapezoidal Channel Design Problem Statement A power canal of trapezoidal section has to be excavated through hard clay

A power canal of trapezoidal section has to be excavated through hard clay at the least cost. Determine the dimensions of the channel given, discharge equal to 15 m³/s, bed slope 1 : 2000 and Manning’s, N = 0.020. Read More »

Find the discharge through a circular pipe of diameter 4.0 m, if the depth of water in the pipe is 1.33 m and pipe is laid at a slope of 1 in 1500. Take the value of Chezy’s constant = 60.

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Partially Full Circular Pipe Flow Calculation Problem Statement Find the discharge through a circular pipe of diameter 4.0 m, if

Find the discharge through a circular pipe of diameter 4.0 m, if the depth of water in the pipe is 1.33 m and pipe is laid at a slope of 1 in 1500. Take the value of Chezy’s constant = 60. Read More »

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