When does a particular method of analysis apply Determine wh

When does a particular method of analysis apply Determine which method of analysis is most useful for the items given. Drag the appropriate items to their respective bins.

Solution

Control Volume:

Finding net forces from fluid flow, finding total accumulation of a fluid.

Control volume is defined as the region of interest or the extent to which we limit our attention.

Control volume analysis helps to find the net outcome of a process in a defined space/region and not at any particular point inside the region of interest. It gives the energy exchange, mass exchange, forces across the boundary defining the control volume. Control volume follows the law of conservation i.e the summation of energy or mass or force across the control volume boundary is constant.

From this understanding, the net forces from fluid flow (summation of forces across the region of interest) and total accumulation of fluid (conservation of mass across the region of interest) can be accurately determined by control volume analysis.

Differencial Analysis:

Finding velocity fields, Finding Pressure distributions.

Properties like velocity or pressure are point properties i.e they vary from point to point and also in different directions in a field or fluid.

Such point properties can only be determined by differencial analysis and not by control volume analysis which takes into account the whole fluid/region of interest as a whole and not at every individual point in the fluid.

Put in other words, control volume analysis helps to know the changes happening at a global level in the fluid while, differencial analysis helps to understand/determine changes at the microscopic level i.e at every individual point in the fluid.