{"id": "c285c4d248f1f2f8dc00ae43e01fae051e29f2c0f136250a", "revision": "channel-pressure-loss-v1", "source": "LIVE_OPENFOAM", "brief": {"revision": "channel-pressure-loss-v1", "inputs": {"length_mm": 200.0, "gap_mm": 2.0, "flow_ml_s": 25.0, "budget_pa": 40.0}, "variants": [{"gap_mm": 1.5, "mean_velocity_m_s": 0.16666666666666663, "reynolds": 497.60717846460614, "analytical_pa": 178.3111111111111, "analytical_margin_pa": -138.3111111111111}, {"gap_mm": 2.0, "mean_velocity_m_s": 0.12499999999999999, "reynolds": 497.6071784646062, "analytical_pa": 75.225, "analytical_margin_pa": -35.224999999999994}, {"gap_mm": 2.5, "mean_velocity_m_s": 0.09999999999999999, "reynolds": 497.6071784646062, "analytical_pa": 38.51519999999999, "analytical_margin_pa": 1.484800000000007}], "fluid": {"name": "Water, nominal 20 C", "rho_kg_m3": 998.2, "mu_pa_s": 0.001003}, "width_mm": 100.0, "reference_url": "https://farside.ph.utexas.edu/teaching/336L/Fluidhtml/node134.html", "goal": "Choose the smallest of three channel gaps that meets the pressure-drop budget.", "scope": "Steady, incompressible, fully developed laminar flow between parallel plates. 2D flow; 100 mm reference width converts flow per width to total flow.", "assumptions": ["Constant water properties; no heat transfer.", "Parabolic inlet; no-slip stationary plates; zero gauge outlet pressure.", "Spanwise empty boundaries omit sidewall drag. Bends, fittings, entrance losses and roughness are excluded."], "checks": {"reference_error_pct_max": 2, "medium_fine_change_pct_max": 1, "mass_imbalance_pct_max": 0.1, "velocity_profile_error_pct_max": 2, "residual_max": 1e-07}, "decision_rule": "Recommend the smallest tested gap only if all numerical checks pass and its pressure drop plus the larger of analytical discrepancy or medium/fine difference stays below budget. This is a numerical allowance, not a total physical uncertainty bound."}, "variants": [{"gap_mm": 1.5, "mean_velocity_m_s": 0.16666666666666663, "reynolds": 497.60717846460614, "analytical_pa": 178.3111111111111, "analytical_margin_pa": -138.3111111111111, "levels": [{"grid": "coarse", "nx": 32, "ny": 16, "cells": 512, "iterations": 125, "pressure_drop_pa": 176.9289112043216, "reference_error_pct": 0.7751619616840455, "mass_imbalance_pct": 4.400336160988202e-11, "profile_error_pct": 0.36053740754290337, "residuals": {"Ux": 1.69322562423e-11, "Uy": 9.71168793449e-09, "p": 1.59538382655e-10}, "history": [{"iteration": 10, "field": "Ux", "residual": 0.00812688731537}, {"iteration": 10, "field": "Uy", "residual": 0.171328406287}, {"iteration": 10, "field": "p", "residual": 0.0443837261597}, {"iteration": 20, "field": "Ux", "residual": 0.000952296214685}, {"iteration": 20, "field": "Uy", "residual": 0.185590319283}, {"iteration": 20, "field": "p", "residual": 0.00713293869338}, 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"residual": 2.59114579034e-09}, {"iteration": 80, "field": "Uy", "residual": 7.79076685785e-06}, {"iteration": 80, "field": "p", "residual": 1.21687048112e-07}, {"iteration": 90, "field": "Ux", "residual": 3.13098610391e-10}, {"iteration": 90, "field": "Uy", "residual": 1.67404653582e-06}, {"iteration": 90, "field": "p", "residual": 2.25932095655e-08}, {"iteration": 100, "field": "Ux", "residual": 6.29502698725e-11}, {"iteration": 100, "field": "Uy", "residual": 3.62710114908e-07}, {"iteration": 100, "field": "p", "residual": 4.61601080683e-09}, {"iteration": 110, "field": "Ux", "residual": 3.61136095064e-11}, {"iteration": 110, "field": "Uy", "residual": 8.07571060786e-08}, {"iteration": 110, "field": "p", "residual": 1.03851205392e-09}, {"iteration": 120, "field": "Ux", "residual": 2.17922148491e-11}, {"iteration": 120, "field": "Uy", "residual": 1.75923105183e-08}, {"iteration": 120, "field": "p", "residual": 2.85904286222e-10}], "gates": {"mesh": true, "solver": true, "residuals": 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"elapsed_seconds": 16.12, "checks_passed": true, "selected_gap_mm": 2.5, "decision": "2.5 mm is the smallest tested gap meeting the 40 Pa budget within the stated parallel-plate model.", "provenance": {"solver": "OpenFOAM Foundation 10 / simpleFoam", "grids_per_variant": 3, "worker_source_sha256": "964ea1a73bb0d6154c1af169e6b13ac81b3c9e6172e5e1740d6593c47d16cf51", "case_generator_sha256": "1d8649688ab223edfeda2aa880b3613f3108d9b6bc4b30bd18830ef0f6c38774"}, "interpretation": "The analytical comparison verifies this idealized flow calculation. Sidewalls, entrance effects, fittings, temperature variation and manufacturing tolerance require separate assessment for a physical channel."}