  # Fluid Mechanics: Dimensional Analysis:The maximum rise in a small capillary tube is a function of the diameter of the tube, the surface tension, and the specific weight of the liquid. Using the step-by-step method, determine what the significant pi groups are for the problem.

Question

Fluid Mechanics: Dimensional Analysis:

The maximum rise in a small capillary tube is a function of the diameter of the tube, the surface tension, and the specific weight of the liquid. Using the step-by-step method, determine what the significant pi groups are for the problem.

check_circleExpert Solution
Step 1

Solve using step by step method as follows:

The dimensions in MLT system for rise (h), diameter (d), surface tension, and specific weight are given below:

Step 2

Step:1

The maximum rise is the function of diameter, surface tension, and specific weight of liquid is expressed as,

Step 3

Step: 2

The three dimensions are MLT, eliminate them by division or multiplication of the variable.

Select the variable surface tension...

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