Problem 3. Honey is being pumped through a network of small tubes with inner diamter D = 15 µm (Fig. 1). The straight section of the tube has length of L = 5 cm, while the circular section of the tube forms a circle with radius R = 5 cm. 1. Given the viscosity of honey lhoney = 10 Pa-s, density of honey Phoney = 1450 kg/m³, and assuming the flow splits evenly at the intersections, what is the total pressure drop required to maintain a flow rate Q = 0.5 mL/min as predicted by Poiseuille's law? 2. Does the Reynolds number of the flow support the use of Poiseuille's law? R Figure 2: Honey is being pumped through a network of small tubes. to
Problem 3. Honey is being pumped through a network of small tubes with inner diamter D = 15 µm (Fig. 1). The straight section of the tube has length of L = 5 cm, while the circular section of the tube forms a circle with radius R = 5 cm. 1. Given the viscosity of honey lhoney = 10 Pa-s, density of honey Phoney = 1450 kg/m³, and assuming the flow splits evenly at the intersections, what is the total pressure drop required to maintain a flow rate Q = 0.5 mL/min as predicted by Poiseuille's law? 2. Does the Reynolds number of the flow support the use of Poiseuille's law? R Figure 2: Honey is being pumped through a network of small tubes. to
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 3. Honey is being pumped through a network of small tubes with inner diamter
D = 15 µm (Fig. 1). The straight section of the tube has length of L = 5 cm, while the
circular section of the tube forms a circle with radius R = 5 cm.
1. Given the viscosity of honey honey = 10 Pa-s, density of honey Phoney = 1450 kg/m³,
and assuming the flow splits evenly at the intersections, what is the total pressure drop
required to maintain a flow rate Q = 0.5 mL/min as predicted by Poiseuille's law?
2. Does the Reynolds number of the flow support the use of Poiseuille's law?
R
L.
Figure 2: Honey is being pumped through a network of small tubes.
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