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The expansion through a nozzle is correctly described by:Group of answer choicesThe conservation of kinetic energyNormal shock wave theoryThe conservation of static enthalpyThe conservation of total enthalpy

Question

The expansion through a nozzle is correctly described by:Group of answer choicesThe conservation of kinetic energyNormal shock wave theoryThe conservation of static enthalpyThe conservation of total enthalpy

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Solution

The expansion through a nozzle is correctly described by the conservation of total enthalpy.

Here's why:

  1. The total enthalpy (also known as the total heat content) of a fluid remains constant during its flow through a nozzle. This is because a nozzle is a duct that increases the velocity of the fluid at the expense of pressure energy, without adding or removing heat.

  2. The conservation of total enthalpy is a principle derived from the First Law of Thermodynamics, which states that energy cannot be created or destroyed, only transferred or changed from one form to another. In the case of a nozzle, the fluid's potential energy (pressure) is converted into kinetic energy (velocity), but the total energy (enthalpy) remains constant.

  3. The other options are not correct. The conservation of kinetic energy does not apply because the kinetic energy of the fluid changes as it flows through the nozzle. Normal shock wave theory is a phenomenon that occurs under certain conditions, but it does not describe the general behavior of fluid flow through a nozzle. The conservation of static enthalpy does not apply because the static enthalpy (the heat content at a given pressure and temperature) can change as the fluid's pressure and temperature change.

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