Question

Bernoulli's theorem is applicable in the case of

• A. incompressible liquid in streamlined flow
• B. compressible liquid in streamlined flow
• C. incompressible liquid in turbulent flow
• D. compressible liquid in turbulent flow

Answer 1

The correct option is A

incompressible liquid in streamlined flow

An explanation for the correct answer:

(a) Incompressible liquid in streamline flow:

1. In fluid mechanics, Bernoulli's theorem shows the relationship between the height, velocity, and pressure of moving fluid in which viscosity and compressibility are negligible and the flow is layered or steady.
2. Therefore, the incompressible flow theorem can be applied.

An explanation for the incorrect answers:

(b) the compressible liquid in streamlined flow:

1. Bernoulli evolved his principle from observing liquids.
2. His equation can only be applied to incompressible fluids, but it can be used with incompressible fluids at velocities up to Mach number $0.3$ with minimal error.

(c) the incompressible liquid in turbulent flow:

1. Now, in a compressible float, wherein the density modifications with the float, it's miles very tough to companion Reynold`s quantity for it.
2. Hence, the streamline or turbulent float is relevant simplest to the incompressible fluid.

(d) the compressible liquid in turbulent flow:

1. Both compressible float and incompressible float may be withinside the laminar float range, the turbulent float range, or a transition float range, wherein the float is converting from laminar to turbulent.
2. Thus, the terms "incompressible" and "laminar" are describing highly exclusive bodily phenomena.

Hence, the correct answer is Option A.