Chapter:

quantity-of-waste-water

1. How would you determine quantity of sanitary sewage.

Generally, the rate of sanitary sewage should be equal to the quantity of water supplied but actually some additions due to private water supplies and infiltration of water and some subtractions due to leakages of water in the pipe lines and water consumption in drinking, cooking, sprinkling on roads, gardening of lawns and for various industrial purposes should be considered. Thus, the rate of sanitary sewage produced (in lpcd) may be assumed to be `70-90%` normally `80%` of the rate of  water supplied.

Average quantity of sanitary sewage (DWF) = 70 to 90 % of (population `**` rate of w/s) )

This average quantity of sanitary sewage cannot be used for design purpose because practically average sewage never flows in the sewers but varies from time to time. The design of sewers should be done for the maximum possible flow.

Maximum or peak quantity of sanitary sewage is equal to the peak factor times the average flow.

The peak factor of 2 to 4 is generally adopted in Nepal.

The minimum rate of sewage flow is generally taken as the one third of the average flow. 

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2.

The surface of town on which rainfalls is classified as follows : 

Types of surface% areaRunoff coefficient
Roof250.8
Pavements and yards250.85
Macadamized roads150.32
Gravel roads100.2
Unpaved streets200.15
Lawns and gardens50.2

What is runoff of catchment if,  

  • Total area of catchment is 12 hectares 
  • Time of concentration for area is 15 minutes.

Solution:

Average impermeability factor is,

`C=(sum(C_1A_1))/A`

`=(0.8**0.25+0.85**0.25+0.32**0.15+0.2**0.1+0.15**0.2+0.2**0.05)`

`=0.5205`

Now, the intensity of rainfall is given by,

`I=760/(15+10)`

`=30.4` mm/hr

Thus, the runoff of the catchment is given by,

`Q=(CIA)/360`

`=(0.5205**30.4**12)/360`

`=0.527\ m^3/s`

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3.

Assuming surface on which rain falls in a thickly build up residential district as follows : 

  • `40 %` area consists of roofs and pavements (`C_1 = 0.80`) 
  • `60 %` of area consists of lawns and gardens (`C_2 = 0.2`)  

Calculate coefficient of runoff. If area of district is 2 hectares and maximum intensity of rainfall is taken as 50 mm/hr, what is runoff of district?  (Ans: `0.44, 0.122` `m^3`/sec)  

Solution:Average runoff coefficient is,

`C=(C_1A_1+C_2A_2)/(A_1+A_2)`

`=(0.4**0.8+0.2**0.6)/1`

`=0.44`

Again,

Runoff is given by,

`Q_(WWF)=(CiA)/360`

`=(0.44**50**2)/360`

`=0.122\ m^3/s`

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4. Define Sewage. Write down its components.

Sewage is defined as the type of waste water produced by the community of people mainly characterized by its physical condition, chemical and toxic constituents, and its bacteriologic status.

The sewage consists of the following two components:

  • Sanitary Sewage or dry weather flow (DWF)
  • Storm Sewage or wet weather flow (WWF)

The dry weather flow is the flow through the sewers that would normally be available during non-rainfall periods. The wet weather flow is the additional flow in the sewers that would occur in rainy season during rainfall.

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5.

A certain district of a city with a population of `50,000` over an area of `20` hectares is given Find design discharge of combined sewer line for following data :  [TU 2004] 

  • Rate of water supply =`225` lpcd 
  • Average impermeability coefficient for entire district=`0.3` 
  • Time of entry =`10` minutes 
  • Time of flow = `30` minutes. 

Solution:

Assuming 80% of supplied water contributes to sewage and peck factor to be 2.5.

The sanitary sewage discharge is,

`Q_(DWF)=(0.8**2.5**225**50000)/(1000**86400)`

`=0.2604\ m^3/s`

Here,

`t=10+30=40 min`

The intensity of rainfall is, `i=1020/(40+20)=17` mm/hr

Now, the storm sewage discharge is,

`Q_(WWF)=(0.3**17**20)/360`

`=0.233\ m^3/s`

Now, the design discharge for the combined system is,

`Q=0.233+0.2604`

`=0.4934\ m^3/s`

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6.

Determine quantity of sewage in `m^3`/sec for combined system from following data :

  • `50 %` of area is roofs and pavements (`C_1 = 0.8`) 
  • `50 %` of area is vacant plots (`C_2 =0.1`) 
  • Area of community ` 5` hectares 
  • Population density = `700` persons/hectare 
  • Water supply rate = `150` lpcd. 
  • Peak factor = `3` 
  • Time of concentration =`10` minutes. 

Solution:

Average impermeability factor is,

`C=(C_1**A_1+C_2**A_2)/(A_1+A_2)`

`=(0.8**0.5+0.1**0.5)/1`

`=0.45`

Now, the sanitary discharge is given by,

`Q_(DWF)=(3**700*5**150**0.80)/(1000**86400)`

`=0.0146\ m^3/s`

Again,

The intensity of rainfall is,

`i=760/(10+10)=38` mm/hr

Now, the storm discharge is,

`Q_(WWF)=(CiA)/360`

`=(0.45**38**5)/360`

`=0.2375\ m^3/s`

Now, the quantity of sewage for the combined system is given by,

`Q=Q_(DWF)+Q_(WWF)`

`=0.0146+0.2375`

`=0.2521\ m^3/s`

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7.

Assuming surface on which rainfalls is thickly built residential district as follows :  

% of total surface
Types of surfaceImpermeability
48Roofs and pavements0.85
22Lawns and gardens0.2
30Ground surface0.1

Calculate average impermeability factor. If total area draining to sewer is `6` hectares and maximum intensity of rainfall is `55` mm/hr. Estimate runoff from area.[TU 2006] 

Solution:

Average Impermeability factor is,

`C=(0.85**0.48+0.2**0.22+0.1**0.3)`

`=0.482`

Now, the runoff from the area is,

`Q=(CiA)/360`

`=(0.482**55**6)/360`

`=0.442 \ m^3/s`

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8. Explain factors affecting source of storm sewage.

The source of storm sewage is precipitation that reaches to the sewer depend upon the following factors:

  1. Area of the catchment
  2. Characteristics of catchment area
  3. Slope, size, imperviousness and shape of the catchment
  4. Initial state of the catchment with respect to wetness.
  5. Nature and number of ditches present in the catchment area.
  6. Intensity and duration of rainfall.
  7. Atmospheric condition.
  8. Obstruction in the flow of water.
  9. Time required for flow to reach the sewer.

The quantity of storm water that reaches to the sewer line depends upon the following factors:

  • Area to be drained off
  • Topography of the area and nature of the ground surface.
  • Intensity of rainfall.
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9.

An impervious area of `20` hectares is to be served by a sewer line. This area is subjected to three storms X, Y, Z with equal frequency of occurrence. The duration of three storms is `20` minutes, `30` minutes and `35` minutes respectively. Taking time of concentration equals to `30` minutes. Determine maximum runoff from each storm. [Ans : `0.938` `m^3`/s ,`1.134` `m^3`/s , `1.03` `m^3`/s] 

Solution:

For impervious area, `C=1`

For area X,

`t=20 min`

`t_c=30 min`

Since `t

The contribution area is,

`=sum A**t/t_c`

`=20**20/30`

`=13.33 ha`

Now,

`i=760/(30)`

`=25.33` mm/hr

Thus, `Q=(CiA)/360`

`=(1**13.33**25.33)/360`

`=0.939 m^3/s`

For area Y,

`t=30 min`

`t_c=30 min`

In this case, contributing area is equal to entire area i.e, 20 ha.

Thus, `i=1020/(50)=20.4` mm/hr

Thus, `Q=(1**20.4**20)/360=1.134 m^3/s`

Again for area Z,

`t=35 min`

`t_c=30 min`

since `t>t_c`,  contributing area is equal to entire area i.e, 20 ha.

Thus, 

`i=1020/(35+20)`

`=18.55` mm/hr

Now, 

`Q=(1**18.55*20)/360`

`=1.03\ m^3/s`

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10.

Assuming surface on which rainfalls in thickly built residential district as follows:  `40 %` area consist of roofs and pavements having impermeability factor `C` as `0.85`, `40 %` of area consists of lawns and gardens having `C` as `0.20` and remaining area consists of ground surface having `C` as `0.1` .If total area draining to sewer is `5` hectares and maximum intensity of rainfall is `50` mm/hr, estimate probable runoff from area. 

Solution:

Average impermeability factor is,

`C=(C_1A1+C_2A_2)/A`

`=(0.40**0.85+0.40**0.2+0.2**0.1)`

`=0.44`

Now,

The maximum probable runoff is given by,

`Q=(CIA)/360`

`=(0.44**50**5)/360`

`=0.3056\ m^3/s`


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Topics

This Chapter quantity-of-waste-water consists of the following topics

Sources of sanitary sewages

factors affecting sanitory sewage

determination of quantity of sanitary sewages

variation in the quantity of sanitary sewage

determination of quantity of sanitary sewages

factors affecting storm sewages

time of concentration

time area graph and many more illustrative examples

How would you determine quantity of sanitary sewage.

;

The surface of town on which rainfalls is classified as follows : 

Types of surface% areaRunoff coefficient
Roof250.8
Pavements and yards250.85
Macadamized roads150.32
Gravel roads100.2
Unpaved streets200.15
Lawns and gardens50.2

What is runoff of catchment if,  

  • Total area of catchment is 12 hectares 
  • Time of concentration for area is 15 minutes.

;

Assuming surface on which rain falls in a thickly build up residential district as follows : 

  • `40 %` area consists of roofs and pavements (`C_1 = 0.80`) 
  • `60 %` of area consists of lawns and gardens (`C_2 = 0.2`)  

Calculate coefficient of runoff. If area of district is 2 hectares and maximum intensity of rainfall is taken as 50 mm/hr, what is runoff of district?  (Ans: `0.44, 0.122` `m^3`/sec)  

;

Define Sewage. Write down its components.

;

A certain district of a city with a population of `50,000` over an area of `20` hectares is given Find design discharge of combined sewer line for following data :  [TU 2004] 

  • Rate of water supply =`225` lpcd 
  • Average impermeability coefficient for entire district=`0.3` 
  • Time of entry =`10` minutes 
  • Time of flow = `30` minutes. 

;

Determine quantity of sewage in `m^3`/sec for combined system from following data :

  • `50 %` of area is roofs and pavements (`C_1 = 0.8`) 
  • `50 %` of area is vacant plots (`C_2 =0.1`) 
  • Area of community ` 5` hectares 
  • Population density = `700` persons/hectare 
  • Water supply rate = `150` lpcd. 
  • Peak factor = `3` 
  • Time of concentration =`10` minutes. 

;

Assuming surface on which rainfalls is thickly built residential district as follows :  

% of total surface
Types of surfaceImpermeability
48Roofs and pavements0.85
22Lawns and gardens0.2
30Ground surface0.1

Calculate average impermeability factor. If total area draining to sewer is `6` hectares and maximum intensity of rainfall is `55` mm/hr. Estimate runoff from area.[TU 2006] 

;

Explain factors affecting source of storm sewage.

;

An impervious area of `20` hectares is to be served by a sewer line. This area is subjected to three storms X, Y, Z with equal frequency of occurrence. The duration of three storms is `20` minutes, `30` minutes and `35` minutes respectively. Taking time of concentration equals to `30` minutes. Determine maximum runoff from each storm. [Ans : `0.938` `m^3`/s ,`1.134` `m^3`/s , `1.03` `m^3`/s] 

;

Assuming surface on which rainfalls in thickly built residential district as follows:  `40 %` area consist of roofs and pavements having impermeability factor `C` as `0.85`, `40 %` of area consists of lawns and gardens having `C` as `0.20` and remaining area consists of ground surface having `C` as `0.1` .If total area draining to sewer is `5` hectares and maximum intensity of rainfall is `50` mm/hr, estimate probable runoff from area. 

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