Gauge Height given Discharge for Non-Alluvial Rivers Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gauge Height = (Discharge in Stream/Rating Curve Constant)^(1/Rating Curve Constant Beta)+Constant of Gauge Reading
G = (Qs/Cr)^(1/β)+a
This formula uses 5 Variables
Variables Used
Gauge Height - (Measured in Meter) - Gauge Height is the height of the water in the stream above a reference point.
Discharge in Stream - (Measured in Cubic Meter per Second) - Discharge in Stream is the volumetric flow rate of water that is transported through a given cross-sectional area.
Rating Curve Constant - Rating Curve Constant is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.
Rating Curve Constant Beta - Rating Curve Constant Beta is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.
Constant of Gauge Reading - Constant of gauge reading corresponding to zero discharge.
STEP 1: Convert Input(s) to Base Unit
Discharge in Stream: 60 Cubic Meter per Second --> 60 Cubic Meter per Second No Conversion Required
Rating Curve Constant: 1.99 --> No Conversion Required
Rating Curve Constant Beta: 1.6 --> No Conversion Required
Constant of Gauge Reading: 1.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
G = (Qs/Cr)^(1/β)+a --> (60/1.99)^(1/1.6)+1.8
Evaluating ... ...
G = 10.2054575413007
STEP 3: Convert Result to Output's Unit
10.2054575413007 Meter --> No Conversion Required
FINAL ANSWER
10.2054575413007 10.20546 Meter <-- Gauge Height
(Calculation completed in 00.004 seconds)

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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)

Gauge Height given Discharge for Non-Alluvial Rivers Formula

Gauge Height = (Discharge in Stream/Rating Curve Constant)^(1/Rating Curve Constant Beta)+Constant of Gauge Reading
G = (Qs/Cr)^(1/β)+a

What is Permanent Control?

The measured value of discharges when plotted against the corresponding stages gives relationship that represents the integrated effect of a wide range of channel and flow parameters. The combined effect of these parameters is termed as control. If the relationship for gauging section is constant and does not change with time, the control is then said to be a Permanent Control.

What is the Backwater Effect?

A backwater is a part of a river in which there is little or no current. It can refer to a branch of a main river, which lies alongside it and then rejoins it, or to a body of water in a main river, backed up by the tide or by an obstruction such as a dam. The backwater effect transmits the secondary currents backwards, resulting in the creation of a sinuous pattern upstream from the shrinkage.
The Backwater phenomenon leads to an increase in the water surface level of upstream regions, thereby imposing the threat of submergence during flood events and affecting the longitudinal extent of the river reach.

How to Calculate Gauge Height given Discharge for Non-Alluvial Rivers?

Gauge Height given Discharge for Non-Alluvial Rivers calculator uses Gauge Height = (Discharge in Stream/Rating Curve Constant)^(1/Rating Curve Constant Beta)+Constant of Gauge Reading to calculate the Gauge Height, The Gauge Height given Discharge for Non-Alluvial Rivers formula is defined as the height of the water in the stream above a reference point. Gauge height refers to the elevation of the water surface in the specific pool at the stream gaging station, not along the entire stream. Gauge Height is denoted by G symbol.

How to calculate Gauge Height given Discharge for Non-Alluvial Rivers using this online calculator? To use this online calculator for Gauge Height given Discharge for Non-Alluvial Rivers, enter Discharge in Stream (Qs), Rating Curve Constant (Cr), Rating Curve Constant Beta (β) & Constant of Gauge Reading (a) and hit the calculate button. Here is how the Gauge Height given Discharge for Non-Alluvial Rivers calculation can be explained with given input values -> 10.17917 = (60/1.99)^(1/1.6)+1.8.

FAQ

What is Gauge Height given Discharge for Non-Alluvial Rivers?
The Gauge Height given Discharge for Non-Alluvial Rivers formula is defined as the height of the water in the stream above a reference point. Gauge height refers to the elevation of the water surface in the specific pool at the stream gaging station, not along the entire stream and is represented as G = (Qs/Cr)^(1/β)+a or Gauge Height = (Discharge in Stream/Rating Curve Constant)^(1/Rating Curve Constant Beta)+Constant of Gauge Reading. Discharge in Stream is the volumetric flow rate of water that is transported through a given cross-sectional area, Rating Curve Constant is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage, Rating Curve Constant Beta is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage & Constant of gauge reading corresponding to zero discharge.
How to calculate Gauge Height given Discharge for Non-Alluvial Rivers?
The Gauge Height given Discharge for Non-Alluvial Rivers formula is defined as the height of the water in the stream above a reference point. Gauge height refers to the elevation of the water surface in the specific pool at the stream gaging station, not along the entire stream is calculated using Gauge Height = (Discharge in Stream/Rating Curve Constant)^(1/Rating Curve Constant Beta)+Constant of Gauge Reading. To calculate Gauge Height given Discharge for Non-Alluvial Rivers, you need Discharge in Stream (Qs), Rating Curve Constant (Cr), Rating Curve Constant Beta (β) & Constant of Gauge Reading (a). With our tool, you need to enter the respective value for Discharge in Stream, Rating Curve Constant, Rating Curve Constant Beta & Constant of Gauge Reading 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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