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Which of the statements are true?Group of answer choicesFor flow in a pipe, the velocity is the same across the pipe cross section.Mass flow rate can be defined as the multiples of density, pipe average velocity, and cross section area normal to the velocity.A volume flow rate is defined as the volume of the fluid flowing through a cross section per unit time.A mass flow rate into control volume is proportional to the velocity component parallel to the cross sectional area.Mass flow rate is defined as the amount of mass flowing through a cross section per unit time.

Question

Which of the statements are true?Group of answer choicesFor flow in a pipe, the velocity is the same across the pipe cross section.Mass flow rate can be defined as the multiples of density, pipe average velocity, and cross section area normal to the velocity.A volume flow rate is defined as the volume of the fluid flowing through a cross section per unit time.A mass flow rate into control volume is proportional to the velocity component parallel to the cross sectional area.Mass flow rate is defined as the amount of mass flowing through a cross section per unit time.

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Solution

  1. False - For flow in a pipe, the velocity is not the same across the pipe cross section. It is typically highest in the center and decreases towards the walls due to friction.

  2. True - Mass flow rate can indeed be defined as the product of density, average velocity, and cross-sectional area normal to the velocity.

  3. True - A volume flow rate is defined as the volume of the fluid flowing through a cross section per unit time.

  4. False - A mass flow rate into a control volume is proportional to the velocity component normal (perpendicular) to the cross-sectional area, not parallel.

  5. True - Mass flow rate is defined as the amount of mass flowing through a cross section per unit time.

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