Problem 3: IV Tube I Doctors use IV drips to deliver saline fluid (s = 1.2) into the vein of patients (hence IV for intravenous). Assume the gage pressure head is 0.00 m at the top of the saline bag and 0.05 m in the vein. The saline fluid has kinematic viscosity v = 1×106 m²/s. The tube is 1.8 m long and has inner diameter of 1.2 mm. If the required flow is 1000 mL/hr, what is the required height from the top of the saline bag to the patient's vein?

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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**Problem 3: IV Tube I**

Doctors use IV drips to deliver saline fluid (\(s = 1.2\)) into the vein of patients (hence IV for intravenous). Assume the gage pressure head is 0.00 m at the top of the saline bag and 0.05 m in the vein. The saline fluid has kinematic viscosity \(\nu = 1 \times 10^{-6}\) m²/s. The tube is 1.8 m long and has an inner diameter of 1.2 mm. If the required flow is 1000 mL/hr, what is the required height from the top of the saline bag to the patient's vein?

**Explanation:**
The problem is centered on calculating the necessary height for an IV bag to ensure a specified flow rate of saline into a patient’s vein. Important parameters include the specific gravity, the gage pressure at different points, the kinematic viscosity of the fluid, and the dimensions of the IV tube. The drawing depicts a patient receiving an IV drip, giving a visual context to the setup described in the problem. The objective involves applying principles of fluid dynamics to find the height difference necessary to achieve the desired flow rate.
Transcribed Image Text:**Problem 3: IV Tube I** Doctors use IV drips to deliver saline fluid (\(s = 1.2\)) into the vein of patients (hence IV for intravenous). Assume the gage pressure head is 0.00 m at the top of the saline bag and 0.05 m in the vein. The saline fluid has kinematic viscosity \(\nu = 1 \times 10^{-6}\) m²/s. The tube is 1.8 m long and has an inner diameter of 1.2 mm. If the required flow is 1000 mL/hr, what is the required height from the top of the saline bag to the patient's vein? **Explanation:** The problem is centered on calculating the necessary height for an IV bag to ensure a specified flow rate of saline into a patient’s vein. Important parameters include the specific gravity, the gage pressure at different points, the kinematic viscosity of the fluid, and the dimensions of the IV tube. The drawing depicts a patient receiving an IV drip, giving a visual context to the setup described in the problem. The objective involves applying principles of fluid dynamics to find the height difference necessary to achieve the desired flow rate.
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