{ "title": "Binder Viscosity Profiler", "author": "adalberto-tolosa", "version": "1.0.0", "description": "Temperature-dependent viscosity predictor for gum arabic binder solutions using Arrhenius equation", "wikidata_grounding": { "arrhenius_equation": "Q507505", "gum_arabic": "Q535814", "viscosity": "Q128709" }, "constants": { "activation_energy_J_per_mol": 45000, "gas_constant_J_per_mol_K": 8.314, "calibration_note": "Activation energy tuned to polysaccharide hydrogel behavior in acacia sap derivatives" }, "formula": { "latex": "\\eta(T) = \\eta_0 \\times \\exp\\left[\\frac{E_a}{R} \\times \\left(\\frac{1}{T} - \\frac{1}{T_0}\\right)\\right]", "plain_text": "eta(T) = eta_0 * exp[(E_a / R) * (1/T - 1/T_0)]", "variables": { "eta_T": "target viscosity (Pa·s)", "eta_0": "reference viscosity at T_0 (Pa·s)", "E_a": "activation energy (J/mol)", "R": "universal gas constant (J·mol^-1·K^-1)", "T": "target absolute temperature (K)", "T_0": "reference absolute temperature (K)" } }, "interpretation_thresholds": { "moderate_thinning": { "ratio_min": 0.85, "ratio_max": 0.95, "action": "adjust_pigment_load" }, "significant_thinning": { "ratio_min": 0.70, "ratio_max": 0.85, "action": "reduce_water_ratio" }, "critical_thinning": { "ratio_max": 0.70, "action": "reformulate_or_cool" }, "thickening": { "ratio_min": 1.0, "action": "expect_slower_flow" } }, "measurement_protocol": { "step_1": "Measure reference temperature T_0 in Celsius, convert to Kelvin", "step_2": "Measure reference viscosity eta_0 at T_0 using viscometer or calibrated flow test", "step_3": "Define target temperature T for studio or field condition", "step_4": "Execute Arrhenius transform to compute eta(T)", "step_5": "Compare ratio eta(T)/eta_0 against interpretation thresholds" }, "sources": [ "https://4ort.xyz/entity/arrhenius-equation", "https://4ort.xyz/entity/gum-arabic", "https://4ort.xyz/entity/viscosity" ], "homepage": "https://adalberto-tolosa.4ort.net/binder-viscosity-profiler.html", "published": "2026-07-18T08:00:00Z" }