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Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is?
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Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed dri...
Calculation of Reynolds Number for Packed Bed Drier
Reynolds number (Re) is a dimensionless quantity that determines the flow regime of a fluid in a system. It is calculated using the formula:
Re = (ρ * u * D) / μ
Where:
- ρ is the density of the fluid (kg/m^3)
- u is the velocity of the fluid (m/s)
- D is the characteristic length (m)
- μ is the dynamic viscosity of the fluid (Pa-sec)
Given Data:
- Diameter of peas (d) = 1.1 cm = 0.011 m
- Air temperature (T) = 65.8°C = 65.8 + 273.15 K = 338.95 K
- Void fraction (ε) = 0.35
- Bed diameter (D) = 0.5 m
- Bed height = 0.8 m
- Flow rate (ṁ) = 0.12 kg/s
- Viscosity of air (μ) = 2.03x10^-5 Pa-sec
Calculations:
1. Calculate the superficial velocity of air:
u = ṁ / (ρ * A * ε)
A = π * (d/2)^2 = π * (0.011/2)^2 = 7.6x10^-5 m^2
ρ = 1.2 kg/m^3 (density of air at 338.95 K)
u = 0.12 / (1.2 * 7.6x10^-5 * 0.35) = 221.05 m/s
2. Calculate Reynolds number:
Re = (ρ * u * D) / μ
Re = (1.2 * 221.05 * 0.5) / 2.03x10^-5 = 1323647.53
Therefore, the Reynolds number for the packed bed drier is approximately 1.32x10^6. This indicates that the flow regime is turbulent, as the Reynolds number is well above the critical value of 4000 for a packed bed.
Reynolds number (Re) is a dimensionless quantity that determines the flow regime of a fluid in a system. It is calculated using the formula:
Re = (ρ * u * D) / μ
Where:
- ρ is the density of the fluid (kg/m^3)
- u is the velocity of the fluid (m/s)
- D is the characteristic length (m)
- μ is the dynamic viscosity of the fluid (Pa-sec)
Given Data:
- Diameter of peas (d) = 1.1 cm = 0.011 m
- Air temperature (T) = 65.8°C = 65.8 + 273.15 K = 338.95 K
- Void fraction (ε) = 0.35
- Bed diameter (D) = 0.5 m
- Bed height = 0.8 m
- Flow rate (ṁ) = 0.12 kg/s
- Viscosity of air (μ) = 2.03x10^-5 Pa-sec
Calculations:
1. Calculate the superficial velocity of air:
u = ṁ / (ρ * A * ε)
A = π * (d/2)^2 = π * (0.011/2)^2 = 7.6x10^-5 m^2
ρ = 1.2 kg/m^3 (density of air at 338.95 K)
u = 0.12 / (1.2 * 7.6x10^-5 * 0.35) = 221.05 m/s
2. Calculate Reynolds number:
Re = (ρ * u * D) / μ
Re = (1.2 * 221.05 * 0.5) / 2.03x10^-5 = 1323647.53
Therefore, the Reynolds number for the packed bed drier is approximately 1.32x10^6. This indicates that the flow regime is turbulent, as the Reynolds number is well above the critical value of 4000 for a packed bed.
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Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is?
Question Description
Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is?.
Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is?.
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Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is?, a detailed solution for Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is? has been provided alongside types of Peas of 1.1 cm diameter are dried by air at 65.8oC in a packed bed drier. The void fraction of the bed is 0.35 and the bed has a diameter of 0.5 m and a height of 0.8 m.The flow rate and the viscosity of air are 0.12 kg.s-1 and 2.03x10-5Pa-sec respectively.Reynold’s number for the packed bed is? theory, EduRev gives you an
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