Question

Which among the following is the equation for Bernoulli?

(a) Tds = dh – vdp

(b) Tds = dh

(c) Tds = dh + vdp

(d) Tds = dh/vdp

The question was posed to me in an interview for internship.

This is a very interesting question from Basic Equations of Compressible Flow topic in portion Compressible Flow of Fluid Mechanics

Answer 1

Right choice is (a) Tds = dh – vdp

To elaborate: For an adiabatic frictionless flow, the Bernoulli’s equation is identical to its energy equation. The Bernoulli’s equation after integrating changes to Tds = dh – vdp. Thus, the correct option is a.