Scfm Cfm Calculator

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SCFM to CFM Calculator

Accurately convert Standard Cubic Feet per Minute (SCFM) to Cubic Feet per Minute (CFM) for your airflow calculations.

Airflow Conversion Calculator

Enter the actual volumetric flow rate in Cubic Feet per Minute.
Enter the actual temperature of the air in Fahrenheit.
Enter the absolute pressure in inches of Mercury. (e.g., 14.7 psi ≈ 29.92 inHg at sea level)
The standard reference temperature (e.g., 68°F or 20°C).
The standard reference absolute pressure (e.g., 14.696 psi ≈ 29.92 inHg).

Calculated SCFM

Key Intermediate Values

Actual Air Density: lb/ft³

Standard Air Density: lb/ft³

Density Ratio:

Assumptions

Input CFM: CFM

Actual Temperature: °F

Actual Pressure: inHg

Standard Temperature: °F

Standard Pressure: inHg

Understanding SCFM vs. CFM

In fluid dynamics and HVAC (Heating, Ventilation, and Air Conditioning) systems, airflow is a critical parameter. Two common units used to measure airflow are Cubic Feet per Minute (CFM) and Standard Cubic Feet per Minute (SCFM). While they both measure volume per unit time, they account for different operating conditions, leading to important distinctions in their application and interpretation.

What is CFM (Cubic Feet per Minute)?

CFM refers to the actual volume of air moving past a point in one minute under the existing operating conditions (temperature, pressure, and humidity). It represents the "real-time" or "actual" flow rate. When you measure the airflow from a fan or through a duct system in a laboratory or in the field without accounting for standard conditions, you are typically measuring CFM. This value is crucial for understanding the immediate performance of a system, such as how much air a fan is currently moving.

What is SCFM (Standard Cubic Feet per Minute)?

SCFM is a standardized measure of airflow. It represents the volume of air that would flow in one minute if it were at specific, predefined "standard" conditions of temperature and pressure. These standard conditions vary slightly depending on the industry or region, but common standards include:

  • Temperature: 68°F (20°C)
  • Pressure: 14.696 psi (29.92 inHg, or 1 atmosphere)

The primary purpose of SCFM is to allow for fair comparisons and consistent calculations between different systems or at different times, regardless of the actual environmental conditions under which the measurements were taken. It normalizes airflow data to a common baseline, making it easier to evaluate efficiency, capacity, and performance objectively.

Who Should Use an SCFM to CFM Calculator?

Professionals in various fields rely on accurate airflow conversions:

  • HVAC Engineers: To compare equipment performance, design ventilation systems, and ensure proper air exchange rates under varying environmental conditions.
  • Industrial Process Engineers: For applications involving combustion, drying, material handling, or any process where precise air intake or exhaust is critical.
  • Mechanical Engineers: When designing or analyzing systems that move air or gases, especially in applications where efficiency and standardized performance metrics are important.
  • Aerospace and Automotive Engineers: For performance testing and calibration of engines and other air-handling components.
  • Environmental Scientists and Technicians: For emissions monitoring and air quality assessments where standardized flow rates are necessary.

Common Misconceptions about SCFM vs. CFM

  • Interchangeability: Many mistakenly use CFM and SCFM interchangeably. While related, they are not the same and represent different physical conditions.
  • CFM is Always Higher: It's not always true that CFM is higher than SCFM. If the actual conditions (temperature and pressure) are "more standard" than the reference standard, CFM could be lower than SCFM. The relationship depends entirely on the actual vs. standard conditions.
  • SCFM is for Measurement, CFM is for Calculation: Both are used for measurement and calculation, but SCFM is specifically for standardized *comparisons* and *calculations*, while CFM is for actual flow under *current conditions*.

SCFM to CFM Formula and Mathematical Explanation

The conversion between SCFM and CFM relies on the ideal gas law, which relates pressure, volume, and temperature. The fundamental principle is that the mass flow rate of a gas remains constant, but its volume changes with temperature and pressure.

The formula used for this conversion is derived as follows:

From the ideal gas law, PV = nRT. For a fixed mass of gas (n), we can rearrange this to V/T = nR/P. Assuming the gas constant R and the number of moles n are constant, we get V is proportional to T/P.

Let subscripts 's' denote standard conditions and 'a' denote actual conditions.

The mass flow rate (ṁ) can be expressed in two ways:

ṁ = ρ_a * Q_a (where ρ_a is actual density, Q_a is actual volumetric flow rate in CFM)

ṁ = ρ_s * Q_s (where ρ_s is standard density, Q_s is standard volumetric flow rate in SCFM)

Equating these, ρ_a * Q_a = ρ_s * Q_s.

We want to find Q_s (SCFM), so: Q_s = Q_a * (ρ_a / ρ_s)

The density of a gas is proportional to its pressure and inversely proportional to its absolute temperature (ρ ∝ P/T).

Therefore, the ratio of densities (ρ_a / ρ_s) can be expressed in terms of actual and standard pressures and temperatures:

(ρ_a / ρ_s) = (P_a / T_a) / (P_s / T_s) = (P_a * T_s) / (P_s * T_a)

Substituting this back into the SCFM formula:

SCFM = CFM * (P_a / P_s) * (T_s / T_a)

Where:

  • SCFM = Standard Cubic Feet per Minute (the desired output)
  • CFM = Actual Cubic Feet per Minute (the input airflow rate)
  • P_a = Absolute Pressure under actual conditions
  • P_s = Absolute Pressure under standard conditions
  • T_s = Absolute Temperature under standard conditions
  • T_a = Absolute Temperature under actual conditions

Important Note: Temperatures must be in absolute units (Rankine or Kelvin). Since we are using Fahrenheit, we convert to Rankine (°R = °F + 459.67). Pressures must be absolute.

Variables Table

Variables Used in SCFM Calculation
Variable Meaning Unit Typical Range / Notes
CFM (Q_a) Actual Volumetric Flow Rate ft³/min Varies widely based on application (e.g., 100 – 100,000+)
Temperature (°F) Actual Air Temperature °F -50°F to 200°F (or higher for industrial processes)
Absolute Pressure (inHg) Actual Absolute Air Pressure inHg Sea level: ~29.92 inHg. Altitudes: lower. Industrial: can be higher.
Standard Temperature (°F) Reference Standard Temperature °F Commonly 68°F (20°C) or 70°F (21.1°C)
Standard Pressure (inHg) Reference Standard Absolute Pressure inHg Commonly 14.696 psi (29.92 inHg) or 14.73 psi (29.92 inHg)
Absolute Temperature (°R) Actual Temperature in Rankine °R °F + 459.67
Standard Absolute Temperature (°R) Standard Temperature in Rankine °R Standard °F + 459.67
SCFM (Q_s) Standard Volumetric Flow Rate ft³/min Result of calculation

Practical Examples (Real-World Use Cases)

Example 1: HVAC System Performance Check

An HVAC technician is testing a commercial air handling unit. The fan is rated to deliver 5,000 SCFM. In the field, the technician measures the actual airflow at the discharge using an anemometer and a pressure gauge. The readings are:

  • Actual Airflow (CFM): 4,500 ft³/min
  • Actual Temperature: 85°F
  • Actual Absolute Pressure: 14.5 inHg

The standard conditions for the equipment rating are 68°F and 29.92 inHg.

Calculation:

  • Actual Absolute Temperature (T_a): 85°F + 459.67 = 544.67 °R
  • Standard Absolute Temperature (T_s): 68°F + 459.67 = 527.67 °R
  • Actual Pressure (P_a): 14.5 inHg
  • Standard Pressure (P_s): 29.92 inHg

SCFM = 4,500 * (14.5 / 29.92) * (527.67 / 544.67)

SCFM = 4,500 * 0.4846 * 0.9688

SCFM ≈ 2,112 SCFM

Interpretation: The measured airflow of 4,500 CFM at 85°F and 14.5 inHg is equivalent to only 2,112 SCFM under standard conditions. This is significantly lower than the equipment's rated 5,000 SCFM. This discrepancy indicates a potential problem with the fan, ductwork (blockage, leaks), or incorrect installation, suggesting the unit is not performing as expected.

Example 2: Industrial Dryer Airflow Adjustment

An industrial dryer requires a specific amount of standard airflow for efficient moisture removal. The process specification calls for 10,000 SCFM. During operation on a cold, damp morning, the measurements are:

  • Actual Airflow (CFM): 11,000 ft³/min
  • Actual Temperature: 40°F
  • Actual Absolute Pressure: 29.80 inHg

Standard conditions are defined as 70°F and 29.92 inHg.

Calculation:

  • Actual Absolute Temperature (T_a): 40°F + 459.67 = 499.67 °R
  • Standard Absolute Temperature (T_s): 70°F + 459.67 = 529.67 °R
  • Actual Pressure (P_a): 29.80 inHg
  • Standard Pressure (P_s): 29.92 inHg

SCFM = 11,000 * (29.80 / 29.92) * (529.67 / 499.67)

SCFM = 11,000 * 0.9960 * 1.0600

SCFM ≈ 11,596 SCFM

Interpretation: The measured 11,000 CFM at the colder, slightly lower pressure conditions is equivalent to approximately 11,596 SCFM. This indicates that the dryer is receiving more than the required standard airflow, potentially leading to over-drying or excessive energy consumption. The operator might need to adjust the fan speed or damper settings to meet the target 10,000 SCFM.

How to Use This SCFM to CFM Calculator

Our SCFM to CFM calculator is designed for simplicity and accuracy. Follow these steps:

  1. Enter Actual Airflow (CFM): Input the measured volumetric flow rate in Cubic Feet per Minute (CFM) for your system. This is the actual volume of air moving under current conditions.
  2. Enter Actual Temperature: Provide the current temperature of the air in degrees Fahrenheit (°F).
  3. Enter Actual Absolute Pressure: Input the current absolute pressure of the air. This is crucial for accurate density calculations. Units are in inches of Mercury (inHg). Standard atmospheric pressure at sea level is approximately 29.92 inHg.
  4. Verify Standard Conditions: Check the default "Standard Temperature" (usually 68°F) and "Standard Pressure" (usually 29.92 inHg). Adjust these values if your application or industry uses different standard references.
  5. Calculate SCFM: Click the "Calculate SCFM" button.

Reading the Results

  • Primary Result (Calculated SCFM): This is the main output, showing the equivalent airflow volume per minute under the specified standard conditions.
  • Key Intermediate Values: These provide insights into the calculation:
    • Actual Air Density: The density of the air at the measured temperature and pressure.
    • Standard Air Density: The density of the air under the specified standard conditions.
    • Density Ratio: The ratio of actual density to standard density, which is a key factor in the conversion.
  • Assumptions: This section reiterates all the input values used in the calculation, helping you verify your entries and understand the context of the result.

Decision-Making Guidance

Use the calculated SCFM value to:

  • Compare the performance of different fans or systems against standardized specifications.
  • Ensure compliance with industry standards or regulations that mandate specific airflow rates under standard conditions.
  • Troubleshoot performance issues by verifying if actual flow rates align with expected standard flow rates after accounting for environmental variations.
  • Optimize energy efficiency by ensuring systems operate within the correct airflow parameters.

Key Factors That Affect SCFM/CFM Conversions

Several environmental and system-specific factors significantly influence the relationship between CFM and SCFM, and thus impact the accuracy of your airflow calculations:

  1. Temperature Variation: Air expands when heated and contracts when cooled. Higher actual temperatures mean lower air density for a given pressure, so a fixed CFM will represent fewer standard cubic feet (lower SCFM). Conversely, colder temperatures increase density, making CFM higher in SCFM terms. This is why maintaining a consistent temperature baseline is vital for standardized comparisons.
  2. Pressure Variations: Atmospheric pressure changes with altitude and weather systems. Higher pressure increases air density, meaning a given CFM represents more standard cubic feet (higher SCFM). Lower pressure decreases density, reducing the SCFM equivalent of a fixed CFM. Absolute pressure is key here, not gauge pressure.
  3. Altitude: Altitude directly impacts atmospheric pressure. Higher altitudes mean lower ambient pressure, thus lower air density. This means that a fan delivering a certain CFM at high altitude will correspond to a significantly lower SCFM compared to the same fan operating at sea level under otherwise identical temperature conditions.
  4. System Load and Fan Performance Curves: The actual CFM produced by a fan is not constant. It depends on the resistance (static pressure) of the ductwork, filters, and other components in the system. A fan's performance curve shows CFM output at different static pressures. Changes in system load (e.g., dirty filters) increase static pressure, reducing CFM, which in turn affects the SCFM calculation.
  5. Humidity (Minor Factor for SCFM): While the ideal gas law conversion primarily uses temperature and pressure, humidity also affects air density. Moist air is slightly less dense than dry air at the same temperature and pressure because the molar mass of water vapor (18 g/mol) is less than that of dry air (average ~29 g/mol). For highly precise calculations, especially in specialized applications, humidity might be considered, but for most standard SCFM conversions, it's often ignored due to its smaller impact compared to temperature and pressure.
  6. Measurement Accuracy: The accuracy of the instruments used to measure CFM, temperature, and pressure is paramount. Inaccurate readings from anemometers, thermometers, or pressure gauges will lead to incorrect conversions and potentially flawed system analysis or design decisions. Calibration and proper usage are essential.
  7. Definition of "Standard Conditions": Different industries and organizations may use slightly different standard temperature and pressure values. Always verify which standard is being used for specifications or comparisons to ensure you are using the correct reference points in your calculations. This calculator allows for user-defined standard conditions.

Frequently Asked Questions (FAQ)

What is the difference between SCFM and CFM?

CFM (Cubic Feet per Minute) is the actual volume of air moving per minute under existing conditions (temperature, pressure). SCFM (Standard Cubic Feet per Minute) is the volume of air moving per minute if it were under specific, uniform standard conditions (e.g., 68°F and 29.92 inHg). SCFM standardizes airflow measurements for comparison.

Why are standard conditions important for airflow?

Standard conditions create a common baseline for comparing the performance of different equipment or measuring airflow at different times and locations. Air density changes significantly with temperature and pressure, so SCFM normalizes these variations.

Is SCFM always greater than CFM?

Not necessarily. If the actual conditions (temperature and pressure) are "more dense" than the standard conditions (e.g., colder and higher pressure), then the CFM could be higher than the SCFM. Conversely, if the actual conditions are "less dense" (hotter and lower pressure), the CFM will be lower than the SCFM. The conversion depends on the ratio of actual to standard conditions.

What are the most common standard conditions used?

Commonly used standard conditions include 68°F (20°C) and 14.696 psi (29.92 inHg) or 70°F (21.1°C) and 14.73 psi (29.92 inHg). The specific standard may vary by industry or application, so it's important to know which standard is relevant.

Can I use gauge pressure instead of absolute pressure?

No, you must use absolute pressure for accurate SCFM calculations. Gauge pressure measures pressure relative to atmospheric pressure. Absolute pressure is the total pressure, including atmospheric pressure. To convert gauge pressure to absolute pressure, you add the local atmospheric pressure (e.g., Absolute Pressure = Gauge Pressure + Atmospheric Pressure).

How does temperature affect airflow measurement?

Temperature significantly impacts air density. As air heats up, it expands and becomes less dense. As it cools, it contracts and becomes denser. This means that a constant volume flow rate (CFM) will represent a different mass flow rate and thus a different standard flow rate (SCFM) depending on the temperature.

What if my system has significant humidity? Does it affect SCFM?

Humidity does have a minor effect on air density – moist air is slightly less dense than dry air. However, for most standard SCFM calculations, especially in HVAC, the impact of humidity is often considered negligible compared to the effects of temperature and pressure. If extreme precision is needed for a specific industrial process, specialized psychrometric calculations might be required.

How often should I recalibrate my airflow measurement instruments?

The frequency of recalibration depends on the instrument type, manufacturer recommendations, and the criticality of the measurements. For critical applications like industrial process control or regulatory compliance, annual calibration is common. For less critical tasks, every 2-3 years might suffice, but always follow best practices and guidelines for your specific equipment.

SCFM vs. CFM Over Temperature Range

Airflow conversion (SCFM) relative to actual temperature, assuming constant CFM, pressure, and standard conditions.

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var stdPressureInHg = getInputValue('standardPressureInHg'); var isValid = true; if (isNaN(cfm) || cfm <= 0) { setErrorMessage('cfmValueError', 'Please enter a valid positive CFM value.'); isValid = false; } if (isNaN(tempF)) { setErrorMessage('temperatureFError', 'Please enter a valid temperature.'); isValid = false; } if (isNaN(pressureInHg) || pressureInHg <= 0) { setErrorMessage('pressureInHgError', 'Please enter a valid positive pressure.'); isValid = false; } if (isNaN(stdTempF)) { setErrorMessage('standardTemperatureFError', 'Please enter a valid standard temperature.'); isValid = false; } if (isNaN(stdPressureInHg) || stdPressureInHg <= 0) { setErrorMessage('standardPressureInHgError', 'Please enter a valid positive standard pressure.'); isValid = false; } if (!isValid) { updateResultDisplay(null, null, null, null, cfm, tempF, pressureInHg); return; } // Constants for air density calculation (using specific gas constant for air) var R_specific_air = 53.35; // ft·lbf/(lb·°R) var g_c = 32.174; // lb·ft/(lbf·s²) – gravitational constant // Convert pressure from inHg to psf (pounds per square foot) for density calculation // 1 inHg = 0.491154 psi // 1 psi = 144 psf var inHg_to_psf = 0.491154 * 144; // Convert standard and actual temperatures to absolute Rankine var tempRankine = tempF + 459.67; var stdTempRankine = stdTempF + 459.67; // Calculate actual and standard pressures in psf var actualPressurePsf = pressureInHg * inHg_to_psf; var stdPressurePsf = stdPressureInHg * inHg_to_psf; // Calculate actual and standard air density (rho = P / (R*T)) // For imperial units and density in lb/ft^3, rho = (P_psf / g_c) / (R_specific_air * T_Rankine) // Simplified: rho = (P_psf) / (R_specific_air * T_Rankine) if P is already force/area. // A common simplification for density is rho = P / (R*T) where P is in psf, R is 53.35 ft*lbf/lb*R, T is in R. // Alternatively, use molecular weight and ideal gas law constant R_universal = 1545.349 // Molar mass of dry air = 28.9644 g/mol = 0.064058 lb/mol // R_air = R_universal / MolarMass_air = 1545.349 / 0.064058 ~ 24123.7 ft*lbf/(lb*mol*R) // rho = P_psf / (R_air * T_Rankine) — This is incorrect, R_specific is the right one for mass density. // Correct calculation using R_specific: // rho = P / (R_specific * T) where P is absolute pressure in lbf/ft^2, T is absolute temperature in R. var actualDensity = actualPressurePsf / (R_specific_air * tempRankine); var standardDensity = stdPressurePsf / (R_specific_air * stdTempRankine); // Calculate the density ratio var densityRatio = actualDensity / standardDensity; // Calculate SCFM: SCFM = CFM * (rho_actual / rho_standard) // Alternatively, SCFM = CFM * (P_actual / P_standard) * (T_standard / T_actual) // Let's use the pressure/temperature ratio for robustness. var scfm = cfm * (actualPressurePsf / stdPressurePsf) * (stdTempRankine / tempRankine); updateResultDisplay(scfm, actualDensity, standardDensity, densityRatio, cfm, tempF, pressureInHg); updateChart(); } function resetCalculator() { document.getElementById('cfmValue').value = ''; document.getElementById('temperatureF').value = ''; document.getElementById('pressureInHg').value = ''; document.getElementById('standardTemperatureF').value = '68'; document.getElementById('standardPressureInHg').value = '29.92'; clearErrorMessages(); updateResultDisplay(null, null, null, null, null, null, null); // Clear chart data or reset to default view if needed if (chartInstance) { chartInstance.destroy(); chartInstance = null; } } function copyResults() { var resultValue = document.getElementById('result-value').innerText; var actualDensity = document.getElementById('actualDensity').innerText; var standardDensity = document.getElementById('standardDensity').innerText; var densityRatio = document.getElementById('densityRatio').innerText; var inputCfm = document.getElementById('inputCfmAssumption').innerText; var actualTemp = document.getElementById('actualTempAssumption').innerText; var actualPress = document.getElementById('actualPressAssumption').innerText; var stdTemp = document.getElementById('stdTempAssumption').innerText; var stdPress = document.getElementById('stdPressAssumption').innerText; var copyText = "SCFM to CFM Calculation Results:\n\n"; copyText += "SCFM: " + resultValue + "\n"; copyText += "\nIntermediate Values:\n"; copyText += "- Actual Air Density: " + actualDensity + "\n"; copyText += "- Standard Air Density: " + standardDensity + "\n"; copyText += "- Density Ratio: " + densityRatio + "\n"; copyText += "\nAssumptions:\n"; copyText += "- Input CFM: " + inputCfm + "\n"; copyText += "- Actual Temperature: " + actualTemp + "\n"; copyText += "- Actual Pressure: " + actualPress + "\n"; copyText += "- Standard Temperature: " + stdTemp + "\n"; copyText += "- Standard Pressure: " + stdPress + "\n"; navigator.clipboard.writeText(copyText).then(function() { alert('Results copied to clipboard!'); }).catch(function(err) { console.error('Failed to copy: ', err); alert('Failed to copy results. Please copy manually.'); }); } function updateChart() { var canvas = document.getElementById('airflowChart'); if (!canvas) return; var ctx = canvas.getContext('2d'); if (chartInstance) { chartInstance.destroy(); // Destroy previous chart instance } var cfmInput = getInputValue('cfmValue'); var pressureInHgInput = getInputValue('pressureInHg'); var stdPressureInHgInput = getInputValue('standardPressureInHg'); var stdTempFInput = getInputValue('standardTemperatureF'); var temperatures = []; var scfmValues = []; var cfmValues = []; // Constant CFM line var minTemp = -20; var maxTemp = 120; var step = 10; for (var temp = minTemp; temp 0 && !isNaN(cfmInput) && !isNaN(tempRankine) && tempRankine > 0 && !isNaN(stdTempRankine) && stdTempRankine > 0 && !isNaN(actualPressurePsf) && actualPressurePsf > 0 && !isNaN(stdPressurePsf) && stdPressurePsf > 0) { scfmAtTemp = cfmInput * (actualPressurePsf / stdPressurePsf) * (stdTempRankine / tempRankine); } else { scfmAtTemp = NaN; // Or handle appropriately } scfmValues.push(scfmAtTemp); cfmValues.push(cfmInput); // Constant CFM line } // Filter out NaN values for plotting var validData = []; for(var i = 0; i < temperatures.length; i++) { if (!isNaN(scfmValues[i]) && !isNaN(cfmValues[i])) { validData.push({ temp: temperatures[i], scfm: scfmValues[i], cfm: cfmValues[i] }); } } var chartTemperatures = validData.map(function(d) { return d.temp; }); var chartScfm = validData.map(function(d) { return d.scfm; }); var chartCfm = validData.map(function(d) { return d.cfm; }); chartInstance = new Chart(ctx, { type: 'line', data: { labels: chartTemperatures, datasets: [{ label: 'SCFM (Calculated)', data: chartScfm, borderColor: 'rgb(0, 74, 153)', // Primary color backgroundColor: 'rgba(0, 74, 153, 0.1)', fill: false, tension: 0.1 }, { label: 'CFM (Actual Input)', data: chartCfm, borderColor: 'rgb(40, 167, 69)', // Success color backgroundColor: 'rgba(40, 167, 69, 0.1)', fill: false, tension: 0, // Straight line for constant CFM borderDash: [5, 5] // Dashed line }] }, options: { responsive: true, maintainAspectRatio: false, scales: { x: { title: { display: true, text: 'Actual Air Temperature (°F)' } }, y: { title: { display: true, text: 'Airflow Rate (ft³/min)' }, beginAtZero: true } }, plugins: { tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || ''; if (label) { label += ': '; } if (context.parsed.y !== null) { label += context.parsed.y.toFixed(2) + ' ft³/min'; } return label; } } } } } }); } // Add event listeners for FAQ toggling document.addEventListener('DOMContentLoaded', function() { var faqItems = document.querySelectorAll('.faq-item h4'); faqItems.forEach(function(item) { item.addEventListener('click', function() { var faqContent = this.nextElementSibling; var faqItem = this.parentElement; faqItem.classList.toggle('active'); if (faqItem.classList.contains('active')) { faqContent.style.display = 'block'; } else { faqContent.style.display = 'none'; } }); }); // Initial calculation on page load if default values are present if (document.getElementById('cfmValue').value && document.getElementById('temperatureF').value && document.getElementById('pressureInHg').value) { calculateSCFM(); } else { // Populate chart with default values if inputs are empty updateChart(); } }); // Basic Chart.js polyfill for environments that might not have it globally defined // In a real-world scenario, you'd include Chart.js via a script tag. // For this self-contained HTML, we'll assume Chart.js is available or provide a stub. if (typeof Chart === 'undefined') { console.warn("Chart.js library not found. Charts will not render."); var Chart = function() { this.destroy = function() { console.log("Stub destroy called"); }; console.log("Chart constructor stub called"); }; Chart.defaults = { plugins: { tooltip: {} }, scales: { x: {}, y: {} } }; Chart.register = function() {}; // Mock registration }

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