Problem 1. Honey is being pumped through a network of small tubes with inner diamter D = 30 µm (Fig. 1). The straight section of the tube has length of L = 50 em, while the circular section of the tube forms a circle with radius R = 50 cm. 1. Given the viscosity of honey Hhoney = 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 = 6 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 L Figure 1: Honey is being pumped through a network of small tubes.
Problem 1. Honey is being pumped through a network of small tubes with inner diamter D = 30 µm (Fig. 1). The straight section of the tube has length of L = 50 em, while the circular section of the tube forms a circle with radius R = 50 cm. 1. Given the viscosity of honey Hhoney = 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 = 6 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 L Figure 1: Honey is being pumped through a network of small tubes.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Honey is being pumped through a network of small tubes with inner diametre D = 30µm (Fig. 1). The straight section of the tube has a length of L = 50 cm, while the circular section of the tube forms a circle with radius R = 50 cm.
1. Given the viscosity of honey µhoney = 10 Pa·s, density of honey ρhoney = 1 450 kg/m3, and assuming the flow splits evenly at the intersections, what is the total pressure drop required to maintain a flow rate Q = 6mL/min as predicted by Poiseuille's law?
1. Does the Reynolds number of the flow support the use of Poiseuille's law?
Transcribed Image Text:Problem 1. Honey is being pumped through a network of small tubes with inner diamter
D = 30 um (Fig. 1). The straight section of the tube has length of L = 50 cm, while the
circular section of the tube forms a circle with radius R = 50 cm.
1. Given the viscosity of honey Hhoney = 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 = 6 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
L
Q
Figure 1: Honey is being pumped through a network of small tubes.
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