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Examine the following statements: (i) Euler’s equation is applicable to inviscid liquid (ii) Bernoulli’s equation applicable to steady state (iii) Vis

Question

Examine the following statements:
(i) Euler’s equation is applicable to inviscid liquid
(ii) Bernoulli’s equation applicable to steady state
(iii) Viscous forces are not considered in Navier Stokes equation
(iv) Surface tension and compressibility forces are considered in Navier Stokes equation

Statements (i) and (ii) are not correct

Statements (iii) and (iv) are correct

Statements (i), (ii) and (iii) are correct

All the statements are correct

Solution

Correct option is A

1. Euler's equation is derived under the assumption of inviscid (zero viscosity) flow. It neglects viscous forces and is used for ideal fluids.
2. Bernoulli's equation assumes:
Steady flow
Incompressible fluid
Inviscid flow
Along a streamline (in general form)

3. Compressibility is indeed considered in compressible form of Navier–Stokes equations. Surface tension is not inherently included in standard Navier–Stokes equations but can be included as additional boundary/interface conditions in multiphase flow modeling.