Question

Simplified equation of continuity is represented as _____________

(a) A1V2 = A2V2

(b) A1V1 = A1V2

(c) A2V1 = A1V1

(d) A1V1 = A2V2

This question was posed to me during an online interview.

Query is from Fluids in Motion in section Fluid Flow and Mixing of Bioprocess Engineering

Answer 1

The simplified equation of continuity for incompressible fluid flow is:

(d) A1V1=A2V2A_1 V_1 = A_2 V_2A1​V1​=A2​V2​

This equation states that the product of the cross-sectional area ($A$) and the velocity ($V$) of the fluid remains constant along the flow in a pipe.