A soft drink with the properties of 10 °C water is sucked through a 3.5-mm-diameter, 0.25-m-long straw at a rate of 4.1 cm³/s. (a) Is the flow at the outlet of the straw laminar? (b) Is it fully developed? To explain calculate (c) the Reynolds number and (d) the entrance length. (a) laminar flow (b) fully developed (c) Rei (d) le = i 419.67 0.0734 V m

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### Fluid Dynamics in Straw

A soft drink with the properties of 10°C water is sucked through a straw with a diameter of 3.5 mm and a length of 0.25 m at a rate of 4.1 cm³/s. The objective is to determine:

#### (a) Laminar or Turbulent Flow?
- **Flow Type:** Laminar flow

#### (b) Fully Developed Flow?
- **Flow Condition:** Fully developed

#### (c) Reynolds Number Calculation
- **Re (Reynolds number):** 419.67

The Reynolds number indicates the nature of the flow inside the straw. A Reynolds number below 2000 typically signifies laminar flow.

#### (d) Entrance Length Calculation
- **Entrance Length (\( l_e \)):** 0.0734 m

The entrance length is the distance required for the flow to become fully developed within the straw.

Understanding these parameters helps in analyzing the fluid dynamics and ensuring efficient design in various engineering applications.
Transcribed Image Text:### Fluid Dynamics in Straw A soft drink with the properties of 10°C water is sucked through a straw with a diameter of 3.5 mm and a length of 0.25 m at a rate of 4.1 cm³/s. The objective is to determine: #### (a) Laminar or Turbulent Flow? - **Flow Type:** Laminar flow #### (b) Fully Developed Flow? - **Flow Condition:** Fully developed #### (c) Reynolds Number Calculation - **Re (Reynolds number):** 419.67 The Reynolds number indicates the nature of the flow inside the straw. A Reynolds number below 2000 typically signifies laminar flow. #### (d) Entrance Length Calculation - **Entrance Length (\( l_e \)):** 0.0734 m The entrance length is the distance required for the flow to become fully developed within the straw. Understanding these parameters helps in analyzing the fluid dynamics and ensuring efficient design in various engineering applications.
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