13.5. Mathematical Forms of IDF Relationships

Try these first

1. 1.

   What does IDF stand for?

   Hint

   Remember the key components related to rainfall.

2. 2.

   What is the formula of the general IDF equation?

   Hint

   Focus on the relationship of intensity, duration, and frequency.

3. 3.

   What does 'I' represent in the general IDF equation?

   • Rainfall intensity
   • Duration
   • Frequency

   Hint

   Focus on the role of each variable in the IDF framework.

4. 4.

   True or False: The empirical constants in IDF equations can be the same for all regions.

   • True
   • False

   Hint

   Think about the influence of local climatic conditions.

5. 5.

   Using the general IDF equation, derive the rainfall intensity for a region with K=6, C=5, m=2, n=2 for a duration of 30 minutes and a return period of 20 years. How does this compare to expected local rainfall?

   Hint

   Ensure to manipulate powers and perform accurate arithmetic.

6. 6.

   Analyze the impact of changing the empirical constant K on the rainfall intensity calculated using Sherman's equation versus the general equation. What trends do you observe?

   Hint

   Use numerical examples to illustrate trends.