Consider the following statements about the energy equation:

1. The energy equation reads: =constant

2. The energy equation can only be used for incompressible flow

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

1 answer

To assess the statements about the energy equation, let’s evaluate each one.

  1. The energy equation reads: =constant
    This statement appears incomplete as it doesn't provide the full form of the energy equation. However, in fluid dynamics, the energy equation can refer to the principle of conservation of energy, which is often expressed in various forms (e.g., Bernoulli's equation for incompressible flow, or the first law of thermodynamics in different contexts). Therefore, it cannot be determined if this statement is true or false without proper context.

  2. The energy equation can only be used for incompressible flow
    This statement is false. While the energy equation (like Bernoulli's equation) is often applied under the assumption of incompressible flow, it is not exclusively limited to this condition. The energy equation can also apply to compressible flow scenarios, though the formulation may change to account for variations in density and enthalpy.

Given the evaluations:

  • Statement 1 is too vague to be definitively true or false.
  • Statement 2 is false.

Considering the information provided and making interpretations based on fluid dynamics principles, the best answer would be:

Neither statement 1 nor statement 2 is true.