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Gradually Varied Flow (GVF Backwater Profile) Calculator

Easily calculate and compute gradually varied flow (gvf backwater profile) calculator with accurate equations, live formulas, and expert guidance.

Flow rate.

Channel width.

Longitudinal bed slope.

Distance step between stations.

Known starting water level (e.g. at weir pool).

Calculated Result
2.46 m

Upstream Depth (y₂)

Upstream Depth (y₂)

2.46 m

Upstream Water Depth Y2 M

2.465

Water Surface Slope Dy Dx

0.0003523

Downstream Specific Energy E1 M

2.573

Friction Slope Sf1

0.0006684

2.46 — m

Calculation Breakdown

  1. Applied FormulaSolves the 1D dynamic equation of gradually varied steady open channel flow (GVF) for M1/M2 water surface backwater profiles using the standard step method.S_f = \frac{n^2 V^2}{R_h^{4/3}} \quad (\text{Friction Slope})

GVF Backwater Profile Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.61.21.82.5Upstream Depth (y₂)

What Is the Gradually Varied Flow (GVF Backwater Profile) Calculator?

This tool computes gradually varied flow (gvf backwater profile) calculator with high precision arithmetic.

How Does the Gradually Varied Flow (GVF Backwater Profile) Calculator Work?

Solves the 1D dynamic equation of gradually varied steady open channel flow (GVF) for M1/M2 water surface backwater profiles using the standard step method.

Gradually Varied Flow (GVF Backwater Profile) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Sf=n2V2Rh4/3(Friction Slope)S_f = \frac{n^2 V^2}{R_h^{4/3}} \quad (\text{Friction Slope})

Solves the 1D dynamic equation of gradually varied steady open channel flow (GVF) for M1/M2 water surface backwater profiles using the standard step method.

How to Use the Gradually Varied Flow (GVF Backwater Profile) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Gradually Varied Flow (GVF Backwater Profile) Calculator Example

Input Values:

channelDischargeQ:15.0
channelBedWidthB:5.0
bedSlopeS0:0.001
reachDistanceDeltaXMeters:100.0
downstreamDepthY1Meters:2.5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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