Which governs the capillary rise phenomenon the tube

Solved Step by Step With Explanation- Capillary Rise Dimensionless Group

Questions

Solved Step by Step With Explanation- Capillary Rise Dimensionless Group

Answer

• Mass (M)

• Time (T)

ρg -1 1 -2 0

σ 0 1 -1 0

Step 4: Determine the Pi Terms (Dimensionless Groups)

According to the Buckingham Pi Theorem, the number of dimensionless groups (Pi terms) is equal to the number of physical variables minus the rank of the dimensional matrix. In this case, we have 5 physical variables and a rank of 4, so we have 5 - 4 = 1 dimensionless group (Pi term).

Π = (Ah * (ρg)^a * (σ)^b * (θ)^c) / (D^d)

In this equation, 'a', 'b', 'c', and 'd' are dimensionless coefficients that need to be determined through experimentation or theory. The specific values of these coefficients would depend on the details of the problem and may require further analysis or experimental data to determine.