MC-X Module | Muskingum Flood Routing Studio

MC-X method rebuilt from geometry.

MC-X is now separate from MC-E. It requires channel geometry such as bottom width, top width, and maximum flow depth. The software builds a hydraulic rating curve and calculates celerity from the local slope of that curve.

MC-X Input

Project Information

Project title

Catchment name

River reach name

Country

Rating-curve steps

Reach and Routing Data

Reach length ΔL [m]

River slope S [-]

Use decimal slope. 0.007 means 0.7%.

Manning roughness n

Initial outflow O₀ [m³/s]

Base flow Qb [m³/s] — optional

Leave empty unless you want to force Qb.

Peak flow Qp [m³/s] — optional

Leave empty unless you want to force Qp.

Routing time step Δt

Time-step unit

Apply common lateral inflow in MC-X routing

If unchecked, MC-X will ignore the common lateral inflow and route only the main inflow hydrograph.

MC-X Channel Geometry

Bottom width b [m]

Top width at max depth T_max [m]

Maximum flow depth y_max [m]

Parabolic Wmax/ymax ratio [-]

Thesis MC-X ratio: Wmax / ymax

For thesis MC-X parabolic geometry: Wi = (Wmax/ymax)yi, A = 2yW/3, P = W + 8y²/(3W), R = A/P.

Common Workspace Hydrograph

MC-X does not create separate hydrological data. It loads the common workspace hydrograph and uses only the geometry entered in this MC-X panel.

Main inflow hydrograph [m³/s]

Use direct lateral inflow below Direct lateral inflow hydrograph [m³/s] — optional

Measured outflow hydrograph [m³/s] — optional

Project notes

MC-X thesis methodology used in this module

W_i = (W_max / y_max) × y_i

A_i = 2y_iW_i / 3

P_i = W_i + 8y_i² / (3W_i)

R_i = A_i / P_i

Q_i = (1/n) A_i R_i^2/3 S^1/2

V_w = (11/9) × V_av

K = ΔL / V_w

X = 0.5 − Q₀ / (2 S W₀ V_w ΔL)

O_i = C₀I_i + C₁I_i−1 + C₂O_i−1

MC-X Results

Enter geometry and hydrograph data, then click Calculate MC-X Routing.

Saved MC-X Runs

These runs are saved in the separate MC-X tables for this private workspace.

Loading saved MC-X runs.

Figure 1. MC-X routed hydrograph using channel geometry and celerity from rating curve derivative.

The MC-X graph is also published to the Results page after calculation and saving.

Open Saved MC-X Graph in Results Page

Depth y [m]	Area A [m²]	Top Width T [m]	Perimeter P [m]	Radius R [m]	Q [m³/s]
No rating curve yet.

Step	Time [s]	Time	Main Inflow	Lateral	Combined Inflow	Computed Outflow	Measured Outflow
No calculation yet.

Parameter	Value	Unit / Meaning
No coefficients yet.