✖Maximum Solids refer to the highest concentration of suspended particulates in a given system, such as a wastewater treatment tank.ⓘ Maximum Solids [S_max]			+10% -10%
✖Solid Loading Rate is the amount of solids applied per unit area of a treatment process, such as a clarifier, typically measured in kilograms per square meter per day (kg/m²/day).ⓘ Solid Loading Rate [SL_r]			+10% -10%

✖Surface Area is the horizontal area available for sedimentation, impacting the tank's capacity to separate solids, typically measured in square meters (m²).ⓘ Surface Area given Solid Loading Rate [SA]

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Surface Area given Solid Loading Rate

Formula

`"SA" = "S"_{"max"}/"SL"_{"r"}`

Example

`"4m²"="80kg/d"/"20kg/d*m²"`

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Surface Area given Solid Loading Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Area = Maximum Solids/Solid Loading Rate
SA = S_max/SL_r
This formula uses 3 Variables

Variables Used

Surface Area - (Measured in Square Meter) - Surface Area is the horizontal area available for sedimentation, impacting the tank's capacity to separate solids, typically measured in square meters (m²).
Maximum Solids - (Measured in Kilogram per Second) - Maximum Solids refer to the highest concentration of suspended particulates in a given system, such as a wastewater treatment tank.
Solid Loading Rate - (Measured in Kilogram per Second Square Meter) - Solid Loading Rate is the amount of solids applied per unit area of a treatment process, such as a clarifier, typically measured in kilograms per square meter per day (kg/m²/day).

STEP 1: Convert Input(s) to Base Unit

Maximum Solids: 80 Kilogram per Day --> 0.000925925925925926 Kilogram per Second (Check conversion here)
Solid Loading Rate: 20 kilogram per Day Square Meter --> 0.000231481481481481 Kilogram per Second Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA = S_max/SL_r --> 0.000925925925925926/0.000231481481481481

Evaluating ... ...

SA = 4.00000000000001

STEP 3: Convert Result to Output's Unit

4.00000000000001 Square Meter --> No Conversion Required

FINAL ANSWER

4.00000000000001 ≈ 4 Square Meter <-- Surface Area

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 15 Design of a Circular Settling Tank Calculators

Mixed Liquor Suspended Solids in Aeration Tank using Maximum Solids

Go Mixed Liquor Suspended Solids = (Maximum Solids in Aeriation Tank/((Peak Discharge+Return Activated Sludge)*8.34))

Design Surface Loading Rate given Surface Area of Circular Settling Tank

Go Surface Loading Rate = (Peak Discharge/Surface Area)

Average Daily Load using Peak Discharge in Circular Settling Tanks

Go Average Daily Load = (Peak Discharge/Peaking Factor)

Peaking Factor using Peak Discharge in Circular Settling Tanks

Go Peaking Factor = (Peak Discharge/Average Daily Load)

Peak Discharge given Surface Area of Circular Settling Tank

Go Peak Discharge = (Surface Area*Surface Loading Rate)

Surface Area of Circular Settling Tank

Go Surface Area = (Peak Discharge/Surface Loading Rate)

Solids Processed given Actual Solid Loading Rate

Go Solid Processed = (Solid Loading Rate*Surface Area)

Assumed Solid Loading Rate of Circular Settling Tanks

Go Solid Loading Rate = (Maximum Solids/Surface Area)

Peak Discharge in Circular Settling Tanks

Go Peak Discharge = Average Daily Load*Peaking Factor

Total Settling Tank Surface Area given Actual Solid Loading Rate

Go Surface Area = Solid Processed/Solid Loading Rate

Actual Solid Loading Rate of Circular Settling Tanks

Go Solid Loading Rate = Solid Processed/Surface Area

Maximum Solids given Solid Loading Rate

Go Maximum Solids = Surface Area*Solid Loading Rate

Surface Area given Solid Loading Rate

Go Surface Area = Maximum Solids/Solid Loading Rate

Influent Flow Rate given Return Activated Sludge Flow Rate

Go Average Daily Influent Flow Rate = (Return Activated Sludge/1.25)

Return Activated Sludge Flow Rate

Go Return Activated Sludge = 1.25*Average Daily Influent Flow Rate

Surface Area given Solid Loading Rate Formula

Surface Area = Maximum Solids/Solid Loading Rate
SA = S_max/SL_r

What is Surface Area ?

The area is the measurement of the size of flat-surface in a plane (two-dimensional), whereas surface area is the measurement of the exposed surface of a solid shape (three-dimensional).

How to Calculate Surface Area given Solid Loading Rate?

Surface Area given Solid Loading Rate calculator uses Surface Area = Maximum Solids/Solid Loading Rate to calculate the Surface Area, The Surface Area given Solid Loading Rate is defined as the area of the tank's surface needed to accommodate the specified solid loading rate, typically measured in square meters (m²). Surface Area is denoted by SA symbol.

How to calculate Surface Area given Solid Loading Rate using this online calculator? To use this online calculator for Surface Area given Solid Loading Rate, enter Maximum Solids (S_max) & Solid Loading Rate (SL_r) and hit the calculate button. Here is how the Surface Area given Solid Loading Rate calculation can be explained with given input values -> 4.5 = 0.000925925925925926/0.000231481481481481.

FAQ

What is Surface Area given Solid Loading Rate?

The Surface Area given Solid Loading Rate is defined as the area of the tank's surface needed to accommodate the specified solid loading rate, typically measured in square meters (m²) and is represented as SA = S_max/SL_r or Surface Area = Maximum Solids/Solid Loading Rate. Maximum Solids refer to the highest concentration of suspended particulates in a given system, such as a wastewater treatment tank & Solid Loading Rate is the amount of solids applied per unit area of a treatment process, such as a clarifier, typically measured in kilograms per square meter per day (kg/m²/day).

How to calculate Surface Area given Solid Loading Rate?

The Surface Area given Solid Loading Rate is defined as the area of the tank's surface needed to accommodate the specified solid loading rate, typically measured in square meters (m²) is calculated using Surface Area = Maximum Solids/Solid Loading Rate. To calculate Surface Area given Solid Loading Rate, you need Maximum Solids (S_max) & Solid Loading Rate (SL_r). With our tool, you need to enter the respective value for Maximum Solids & Solid Loading Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Surface Area?

In this formula, Surface Area uses Maximum Solids & Solid Loading Rate. We can use 2 other way(s) to calculate the same, which is/are as follows -

Surface Area = (Peak Discharge/Surface Loading Rate)
Surface Area = Solid Processed/Solid Loading Rate

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