Theoretical vs Experimental Equations?

In summary, theoretical equations are derived from mathematical models and assumptions, while experimental equations are based on actual data collected through experiments. The accuracy of each type depends on the specific situation and the quality of the data used. They are not interchangeable, with theoretical equations being more idealized and experimental equations being based on real-world observations. Both types of equations are validated through different methods, with theoretical equations being validated through mathematical proofs and comparisons, and experimental equations through repeated experiments and comparisons to previous data. Finally, theoretical and experimental equations can be used together to provide a more comprehensive understanding of a system, with theoretical equations used for predictions and experimental equations used for validation.
  • #1
NedM.
2
0
Hi. I am calculating the pressure loss through straight pipes and pressure loss through pipe fittings. I need to compare the theoretical value with to the actual experimental values. But the thing is, do I use the Darcy equation for both calculations or are there separate equations to calculate these pressure losses?
 
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  • #2
The equations are the same, but the friction factors for straight pipes can be found in Moody diagrams whereas the friction factor for fittings are usually given as a constant for the specific geometry, see e.g. Cengel and Turner, Lienhard&Lienhard or other standard engineering textbooks.
 

Related to Theoretical vs Experimental Equations?

1. What is the difference between theoretical and experimental equations?

Theoretical equations are derived from mathematical models and assumptions, while experimental equations are based on actual data collected through experiments.

2. Which one is more accurate, theoretical or experimental equations?

It depends on the specific situation and the accuracy of the data used. Theoretical equations can provide a more idealized representation of a system, while experimental equations are based on real-world observations and may have a higher level of uncertainty.

3. Can theoretical and experimental equations be used interchangeably?

No, theoretical and experimental equations are not interchangeable. Theoretical equations are based on mathematical models and may not accurately represent real-world situations, while experimental equations are based on actual data and observations.

4. How are theoretical and experimental equations validated?

Theoretical equations are validated through mathematical proofs and comparisons to other established theories. Experimental equations are validated through repeated experiments and comparisons to previous experimental data.

5. Can theoretical and experimental equations be used together?

Yes, theoretical and experimental equations can be used together to provide a more comprehensive understanding of a system. Theoretical equations can be used to make predictions, while experimental equations can be used to validate those predictions.

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