Diffusion Coefficient in Advection Diffusion Flood Routing Calculator

✖Conveyance Function on stage at a section may be determined empirically or by a standard friction law.ⓘ Conveyance Function [K]			+10% -10%
✖Width of Water Surface under consideration. Surface water is any natural water that has not penetrated under the surface of the ground underneath.ⓘ Width of Water Surface [W]			+10% -10%
✖Bed Slope also called channel slope is the difference in elevation between two points on a stream divided by the distance between them measured along the stream channel.ⓘ Bed Slope [S̄]			+10% -10%

✖Diffusion coefficient is the proportionality factor D in Fick's law.ⓘ Diffusion Coefficient in Advection Diffusion Flood Routing [D]

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Formula

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Diffusion Coefficient in Advection Diffusion Flood Routing

Formula

`"D" = "K"/2*"W"*sqrt("S̄")`

Example

`"800m²/s"="8"/2*"100m"*sqrt("4.0")`

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Diffusion Coefficient in Advection Diffusion Flood Routing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diffusion Coefficient = Conveyance Function/2*Width of Water Surface*sqrt(Bed Slope)
D = K/2*W*sqrt(S̄)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diffusion Coefficient - (Measured in Square Meter Per Second) - Diffusion coefficient is the proportionality factor D in Fick's law.
Conveyance Function - Conveyance Function on stage at a section may be determined empirically or by a standard friction law.
Width of Water Surface - (Measured in Meter) - Width of Water Surface under consideration. Surface water is any natural water that has not penetrated under the surface of the ground underneath.
Bed Slope - Bed Slope also called channel slope is the difference in elevation between two points on a stream divided by the distance between them measured along the stream channel.

STEP 1: Convert Input(s) to Base Unit

Conveyance Function: 8 --> No Conversion Required
Width of Water Surface: 100 Meter --> 100 Meter No Conversion Required
Bed Slope: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = K/2*W*sqrt(S̄) --> 8/2*100*sqrt(4)

Evaluating ... ...

D = 800

STEP 3: Convert Result to Output's Unit

800 Square Meter Per Second --> No Conversion Required

FINAL ANSWER

800 Square Meter Per Second <-- Diffusion Coefficient

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Bhilai Institute of Technology (BIT), Raipur

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< 9 Stage-Discharge Relationship Calculators

Normal Discharge at given Stage under Steady Uniform Flow

Go Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage)

Measured Unsteady Flow

Go Measured Unsteady Flow = Normal Discharge*sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage)

Gauge Height given Discharge for Non-Alluvial Rivers

Go Gauge Height = (Discharge in Stream/Rating Curve Constant)^(1/Rating Curve Constant Beta)+Constant of Gauge Reading

Relationship between Stage and Discharge for Non-Alluvial Rivers

Go Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta

Actual Fall at Stage given Actual Discharge

Go Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve)

Normalized Value of Fall given Discharge

Go Normalized Value of Fall = Actual Fall*(Normalized Discharge/Actual Discharge)^(1/Exponent on Rating Curve)

Normalized Discharge of Backwater Effect on Rating Curve Normalized Curve

Go Normalized Discharge = Actual Discharge*(Normalized Value of Fall/Actual Fall)^Exponent on Rating Curve

Actual Discharge from Backwater Effect on Rating Curve Normalized Curve

Go Actual Discharge = Normalized Discharge*(Actual Fall/Normalized Value of Fall)^Exponent on Rating Curve

Diffusion Coefficient in Advection Diffusion Flood Routing

Go Diffusion Coefficient = Conveyance Function/2*Width of Water Surface*sqrt(Bed Slope)

Diffusion Coefficient in Advection Diffusion Flood Routing Formula

Diffusion Coefficient = Conveyance Function/2*Width of Water Surface*sqrt(Bed Slope)
D = K/2*W*sqrt(S̄)

What is Hydrograph?

A hydrograph is a graph showing the rate of flow versus time past a specific point in a river, channel, or conduit carrying flow.

How to Calculate Diffusion Coefficient in Advection Diffusion Flood Routing?

Diffusion Coefficient in Advection Diffusion Flood Routing calculator uses Diffusion Coefficient = Conveyance Function/2*Width of Water Surface*sqrt(Bed Slope) to calculate the Diffusion Coefficient, The Diffusion Coefficient in Advection Diffusion Flood Routing formula is defined as the watershed drainage area between the two river cross sections, inflow along the reach mainly contributes to the downstream hydrograph. Diffusion Coefficient is denoted by D symbol.

How to calculate Diffusion Coefficient in Advection Diffusion Flood Routing using this online calculator? To use this online calculator for Diffusion Coefficient in Advection Diffusion Flood Routing, enter Conveyance Function (K), Width of Water Surface (W) & Bed Slope (S̄) and hit the calculate button. Here is how the Diffusion Coefficient in Advection Diffusion Flood Routing calculation can be explained with given input values -> 800 = 8/2*100*sqrt(4).

FAQ

What is Diffusion Coefficient in Advection Diffusion Flood Routing?

The Diffusion Coefficient in Advection Diffusion Flood Routing formula is defined as the watershed drainage area between the two river cross sections, inflow along the reach mainly contributes to the downstream hydrograph and is represented as D = K/2*W*sqrt(S̄) or Diffusion Coefficient = Conveyance Function/2*Width of Water Surface*sqrt(Bed Slope). Conveyance Function on stage at a section may be determined empirically or by a standard friction law, Width of Water Surface under consideration. Surface water is any natural water that has not penetrated under the surface of the ground underneath & Bed Slope also called channel slope is the difference in elevation between two points on a stream divided by the distance between them measured along the stream channel.

How to calculate Diffusion Coefficient in Advection Diffusion Flood Routing?

The Diffusion Coefficient in Advection Diffusion Flood Routing formula is defined as the watershed drainage area between the two river cross sections, inflow along the reach mainly contributes to the downstream hydrograph is calculated using Diffusion Coefficient = Conveyance Function/2*Width of Water Surface*sqrt(Bed Slope). To calculate Diffusion Coefficient in Advection Diffusion Flood Routing, you need Conveyance Function (K), Width of Water Surface (W) & Bed Slope (S̄). With our tool, you need to enter the respective value for Conveyance Function, Width of Water Surface & Bed Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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