{"uid":"cap_GnLlpws8pp2_V8HGsrOm8","slug":"trapezoidal-channel-manning-normal-critical-depth-energy-calculator-6a2a8546","name":"Trapezoidal Channel Manning Normal & Critical Depth Energy Calculator","description":"Compute normal and critical flow states for an explicit trapezoidal channel model.","url":"https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B007/trapezoidal-channel-manning-normal-critical-depth-energy?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"artifact":{"type":"object","required":["openChannel"],"properties":{"openChannel":{"type":"object","required":["data","claim"],"properties":{"data":{"type":"object","required":["bottom_width","side_slope","manning_n","bed_slope","discharge","gravity"],"properties":{"gravity":{"type":"number","maximum":100,"minimum":0.1},"bed_slope":{"type":"number","maximum":0.5,"minimum":1e-8},"discharge":{"type":"number","maximum":1000000,"minimum":0.000001},"manning_n":{"type":"number","maximum":1,"minimum":0.001},"side_slope":{"type":"number","maximum":10,"minimum":0},"bottom_width":{"type":"number","maximum":10000,"minimum":0.01}},"additionalProperties":false},"claim":{}},"additionalProperties":false}},"additionalProperties":false}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.003","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.003/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_PMyhlbzvN3fa5RJ9vuu46","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.003","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes normal depth, critical depth, flow states, and energy for a trapezoidal open channel using Manning's equation.","exampleAgentPrompt":"Calculate the normal and critical depth for a trapezoidal channel with a bottom width of 3 meters, side slopes of 2 (H:V), Manning's n of 0.013, bed slope of 0.001, discharge of 10 cubic meters per second, and gravity of 9.81 m/s².","exampleUseCases":[{"title":"Irrigation canal design check","prompt":"I'm designing a trapezoidal irrigation canal with a 2-meter bottom width, side slopes of 1.5, Manning's n of 0.015, bed slope of 0.0005, and a design discharge of 5 cubic meters per second — can you calculate the normal and critical depths and tell me if the flow will be subcritical or supercritical? Use gravity of 9.81."},{"title":"Drainage channel flood capacity","prompt":"For a concrete-lined trapezoidal drainage channel with bottom width 4 m, side slope 1.0, Manning's n 0.012, slope 0.002, and peak discharge of 50 cubic meters per second, what are the normal depth, critical depth, and specific energy? Gravity is 9.81 m/s²."},{"title":"Highway culvert hydraulic analysis","prompt":"I need the normal depth and critical depth for a roadside trapezoidal channel: bottom width 1.5 m, side slope 2.5, Manning's n 0.03, bed slope 0.008, discharge 2.5 cubic meters per second, and gravity 9.81 — also tell me the Froude number and flow regime."}],"resultDescription":"Returns computed hydraulic properties including normal depth, critical depth, flow velocity, hydraulic radius, cross-sectional area, wetted perimeter, specific energy, and Froude number for the specified trapezoidal channel, along with classification of flow regime (subcritical, critical, or supercritical).","failureModes":["Discharge too low or too high (outside 0.000001–1,000,000 range) returns validation error","Bottom width outside 0.01–10,000 m range returns schema error","Manning's n outside 0.001–1 range returns invalid input error","Bed slope at or below 1e-8 or above 0.5 triggers range validation failure","Side slope above 10 or below 0 returns invalid parameter error","Gravity outside 0.1–100 range returns validation error","Non-convergence of iterative normal depth solver may return computation error"],"whenToPreferThis":"Use this endpoint when you need precise hydraulic computations for a trapezoidal open channel cross-section, specifically when both normal depth and critical depth are needed simultaneously along with energy and flow regime classification. Prefer this over generic fluid dynamics tools when the channel geometry is explicitly trapezoidal and Manning's equation is the governing flow model.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-11-04T06:40:15.714Z","isFirstParty":false,"canonicalSlug":"trapezoidal-channel-manning-normal-critical-depth-energy-calculator-6a2a8546"}