Consider the following statements:

Question

1. The Euler equation and the continuity equation can be applied to unsteady flow

2. The Euler equation is valid for flows with friction

Select the answer that matches

Only statement 1 is true

Only statement 2 is true

Both statement 1 and statement 2 are true

Neither statement 1 nor statement 2 is true

Answer 1

To analyze the statements:

1. The Euler equation and the continuity equation can be applied to unsteady flow:

   • This statement is true. Both the Euler equation (which describes the motion of inviscid flow) and the continuity equation (which expresses the conservation of mass) can be applied to unsteady (time-dependent) flows.

2. The Euler equation is valid for flows with friction:

   • This statement is false. The Euler equation is derived under the assumption of inviscid flow, meaning it does not take friction into account. For flows with significant friction, the Navier-Stokes equations, which include viscosity, are more appropriate.

Based on this analysis:

• Only statement 1 is true.