Syncster

This walkthrough shows how to use FlowStudio ’s sluice gate (rectangular channel) worksheet: upstream pool depth from specific energy, downstream gradually varied flow, and—when the case allows— hydraulic jump placement plus an empirical jump length (SI units). Open FlowStudio → https://flow.syncster.dev What you are solving A bottom sluice in a wide rectangular channel passes a discharge Q . The worksheet assumes a contracted depth at the vena contracta, y 2 = C c a , where a is gate opening and C c is a contraction coefficient (often near 0.6–0.65). From specific energy matching between the upstream pool and the contracta—together with a check against uniform normal depth y n for the approach channel—the sheet finds upstream pool depth y 1 . Downstream, it integrates Manning-based gradually varied flow from the gate. If the contracta is supercritical and you set a subcritical tailwater y t (or...

This walkthrough shows how to find normal depth in a trapezoidal open channel when you know discharge , geometry , Manning’s n , and bed slope —using FlowStudio ’s trapezoidal open-channel worksheet (uniform flow, SI units). Open FlowStudio → https://flow.syncster.dev What you are solving In uniform flow , depth and velocity stay constant along a long prismatic reach. Manning’s equation links discharge to geometry and resistance. For a trapezoid with bottom width b and side slope z (horizontal to vertical, H:V), flow area and wetted perimeter depend on water depth y . If Q , b , z , n , and S are given, there is a unique normal depth y that satisfies Manning for that discharge (within physical limits). FlowStudio uses the standard relations: area A = y ( b + zy ), wetted perimeter P = b + 2 y √(1 + z ²), hydraulic radius R = A / P , then V = (1/ n ) R 2/3 S 1/2 and Q = VA . It also reports t...

If you work with open-channel hydraulics , weirs , gradually varied flow , or seepage under structures , you have probably bounced between spreadsheets, textbook charts, and half-finished notebooks. FlowStudio is a small web app built to keep that work in one place: structured worksheets, clear outputs, and a project tree so you can find yesterday’s calculation. Try the app: https://flow.syncster.dev What FlowStudio is FlowStudio is a browser-based engineering workbook for hydraulic and civil topics. Each worksheet has a dedicated form: you enter geometry, discharge, slopes, coefficients, and so on; the app computes results and can show charts and schematics where it helps (for example, depth profiles, rating curves, section views, or Khosla uplift diagrams). Your inputs and outputs are saved as structured data so you can reopen a sheet and continue without redoing the setup. Organize work in projects and folders ...