What Is the Rouse Vertical Suspended Sediment Concentration Profile Calculator?
The Rouse equation governs the equilibrium vertical concentration distribution of suspended sediment in turbulent open-channel flows.
It balances downward gravitational particle settling against upward turbulent diffusive mixing through the fluid column.
This calculator computes bed shear velocity u*, Rouse suspension number Z, relative concentration ratio C(z)/Ca, and classifies the dominant sediment transport mode.
How Does the Rouse Vertical Suspended Sediment Concentration Profile Calculator Work?
The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.
Rouse Vertical Suspended Sediment Concentration Profile Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Rouse vertical suspended sediment diffusion equation where κ is von Kármán constant (0.40) and u* is bed shear velocity.
How to Use the Rouse Vertical Suspended Sediment Concentration Profile Calculator
- Enter your primary measurements in the input fields above.
- Select your preferred units (e.g. metric or imperial) if applicable.
- Review or adjust operational assumptions such as field efficiency.
- Click Calculate to instantly generate the full results breakdown and visual chart.
- Use the Reset button at any time to clear the form and test a new scenario.
Step-by-Step Example Calculation
River Channel (h = 2.5m, a = 0.125m, Ca = 2500 ppm, z = 1.0m)
Input Values:
Understanding Your Result
Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.
Factors That Affect the Result
Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.
When Should You Use This Calculator?
Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.
Assumptions & Limitations
- When Rouse number Z < 0.8, sediment is in full suspension and distributes almost uniformly throughout the depth.
- When Z > 2.5, suspension is negligible and sediment travels almost entirely as bedload along the channel bottom.
Frequently Asked Questions
Calculation Accuracy & Reference Note
This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.