Clog Severity & Blockage Risk Calculator
ANA›Life Services Authority›National Calculator Authority›Clog Severity & Blockage Risk Calculator
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Clog Severity & Blockage Risk Calculator
Estimates clog severity index and blockage risk percentage based on pipe flow reduction, buildup thickness, pipe diameter, and material type.
Pipe Inner Diameter (mm)
Buildup / Deposit Thickness (mm)
Current Flow Rate (L/min)
Design / Original Flow Rate (L/min)
Pipe Age (years)
Clog Material Type
Grease / Fat Mineral Scale Sediment / Sand Organic Matter / Roots Mixed / Unknown
Calculate
function cloCalc() { var resultDiv = document.getElementById('clo-result');
var D = parseFloat(document.getElementById('clo-pipe-diameter').value); var t = parseFloat(document.getElementById('clo-buildup-thickness').value); var Qc = parseFloat(document.getElementById('clo-flow-rate-current').value); var Qd = parseFloat(document.getElementById('clo-flow-rate-design').value); var age = parseFloat(document.getElementById('clo-pipe-age').value); var Km = parseFloat(document.getElementById('clo-material').value);
// --- Input Validation --- if (isNaN(D) || D Please enter a valid pipe inner diameter greater than 0.'; return; } if (isNaN(t) || t Buildup thickness must be 0 or greater.'; return; } if (t >= D / 2) { resultDiv.innerHTML = 'Buildup thickness cannot equal or exceed the pipe radius (' + (D/2).toFixed(1) + ' mm). Pipe is fully blocked.'; return; } if (isNaN(Qc) || Qc Please enter a valid current flow rate (0 or greater).'; return; } if (isNaN(Qd) || Qd Please enter a valid design flow rate greater than 0.'; return; } if (Qc > Qd) { resultDiv.innerHTML = 'Current flow rate cannot exceed the design flow rate.'; return; } if (isNaN(age) || age Please enter a valid pipe age (0 or greater).'; return; }
// --- Core Calculations ---
// 1. Cross-sectional Area Reduction Ratio (ARR) // Original area: A_orig = π(D/2)² // Effective (clear) radius: r_eff = D/2 - t // Clear area: A_clear = πr_eff² // ARR = 1 - (A_clear / A_orig) = 1 - ((D/2 - t)/(D/2))² var r = D / 2; var r_eff = r - t; var ARR = 1 - Math.pow(r_eff / r, 2); // dimensionless, 0–1
// 2. Flow Reduction Ratio (FRR) // FRR = 1 - (Qc / Qd) var FRR = 1 - (Qc / Qd); // dimensionless, 0–1
// 3. Age Factor (AF) // AF = 1 + 0.02 * age (2% increase in risk per year, capped at 2.0) var AF = Math.min(1 + 0.02 * age, 2.0);
// 4. Clog Severity Index (CSI) // CSI = ((0.5 * ARR + 0.5 * FRR) * Km * AF) * 100 // Weighted average of area and flow reduction, scaled by material and age // Range: 0–100 (capped) var CSI_raw = (0.5 * ARR + 0.5 * FRR) * Km * AF * 100; var CSI = Math.min(CSI_raw, 100);
// 5. Blockage Risk Percentage (BRP) // Based on Hagen-Poiseuille flow resistance concept: // Flow resistance ∝ 1/r_eff^4 (for laminar flow in circular pipes) // BRP = (1 - (r_eff/r)^4) * 100 // This captures the disproportionate impact of small radius reductions var BRP = (1 - Math.pow(r_eff / r, 4)) * 100;
// 6. Effective Flow Capacity Remaining (EFCR) // EFCR = (Qc / Qd) * 100 var EFCR = (Qc / Qd) * 100;
// 7. Severity Classification var severity, sevClass; if (CSI ' + 'ParameterValue' + 'Area Reduction Ratio (ARR)' + (ARR * 100).toFixed(2) + '%' + 'Flow Reduction Ratio (FRR)' + (FRR * 100).toFixed(2) + '%' + 'Age Factor (AF)' + AF.toFixed(3) + '' + 'Effective Flow Capacity Remaining' + EFCR.toFixed(1) + '%' + 'Clog Severity Index (CSI)' + CSI.toFixed(1) + ' / 100' + 'Blockage Risk (Hagen-Poiseuille)' + BRP.toFixed(1) + '%' + '' + 'Severity Level: ' + severity + '
' + 'Blockage Risk Level: ' + riskLevel + '
' + 'Recommended Action: ' + action + '
'; }
#### Formulas Used
1. Area Reduction Ratio (ARR): ARR = 1 − ((D/2 − t) / (D/2))² Where D = pipe inner diameter (mm), t = buildup thickness (mm).
2. Flow Reduction Ratio (FRR): FRR = 1 − (Qcurrent / Qdesign)
3. Age Factor (AF): AF = min(1 + 0.02 × Age, 2.0) Accounts for 2% increased risk per year of pipe age, capped at 2.0.
4. Clog Severity Index (CSI): CSI = min((0.5 × ARR + 0.5 × FRR) × Km × AF × 100, 100) Km = material severity coefficient (Grease=1.0, Scale=0.85, Sediment=0.75, Organic=0.65, Mixed=0.55).
5. Blockage Risk Percentage (BRP) — Hagen-Poiseuille basis: BRP = (1 − (reff / r)4) × 100 Derived from Hagen-Poiseuille law: volumetric flow Q ∝ r4, so resistance increases as the 4th power of radius reduction.
#### Assumptions & References
- Material severity coefficients (Km) are based on relative clog formation rates from plumbing industry guidelines and drainage engineering literature.
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