High-Resolution Interpolated Coefficient Database for the Tsilingiris Humid Air Density Model (40–90 % Relative Humidity)
Description
This dataset contains an extended set of coefficients derived from the humid air density model proposed by Tsilingiris (2018) for engineering calculations involving moist atmospheric air. The original publication provides coefficient values for relative humidity levels between 0% and 100% at intervals of 10 percentage points. To improve numerical implementation and facilitate computational applications requiring finer humidity resolution, additional coefficient values were generated through linear interpolation between the original published coefficients. The resulting dataset focuses on the relative humidity range from 40% to 90%, where many HVAC, thermal engineering, renewable energy, indoor air quality, and environmental applications commonly operate. The interpolated coefficients enable a more detailed representation of humidity-dependent density behavior without altering the original mathematical formulation proposed by Tsilingiris. The coefficients were generated at 0.10% RH resolution using piecewise linear interpolation between the original 10% RH coefficient intervals reported by Tsilingiris (2018), within the 40–90% relative humidity range.
Files
Steps to reproduce
1. Identify the original coefficient tables reported by Tsilingiris (2018) for the humid air density model. 2. Select the original relative humidity coefficient values corresponding to the range from 40% to 90% RH. 3. Use the published coefficients at 10% relative humidity intervals as reference points: 40%, 50%, 60%, 70%, 80%, and 90%. 4. Define the desired high-resolution relative humidity interval as 0.10 percentage points. 5. Generate the intermediate relative humidity values between each pair of original reference points. For example, between 40% and 50%, generate 40.10%, 40.20%, 40.30%, continuing up to 49.90%. 6. Apply piecewise linear interpolation independently to each coefficient of the humid air density model. 7. For each coefficient, calculate the interpolated value using: Interpolated coefficient = C₁ + [(RHᵢ − RH₁) / (RH₂ − RH₁)] × (C₂ − C₁) where: C₁ = coefficient value at the lower reference relative humidity; C₂ = coefficient value at the upper reference relative humidity; RH₁ = lower reference relative humidity; RH₂ = upper reference relative humidity; RHᵢ = intermediate relative humidity value to be interpolated. 8. Repeat the interpolation procedure for all coefficients of the model and for all intermediate relative humidity values from 40% to 90% RH. 9. Preserve the original published coefficient values at 40%, 50%, 60%, 70%, 80%, and 90% RH without modification. 10. Organize the resulting coefficients in tabular format, using relative humidity as the main indexing variable. 11. Verify that the interpolated table reproduces exactly the original coefficient values at every 10% reference point. 12. Document that the dataset contains secondary numerical coefficients generated through linear interpolation and does not include experimental measurements. 14. Cite the original Tsilingiris (2018) publication as the source model from which the interpolated coefficient dataset was derived.