..s) A mixer with a flat blade turbine impeller with six blade-disk is used in a mixing process. The mixing tank has a 2.46 ft impeller diameter, 0.15 m turbine blade width, 2.4 m tank diameter, 0.2 m baffle width, and a liquid depth of 7.874 ft. The mixing fluid has a viscosity of 30 cP and a density of 78 lb/ft. The turbine speed is 120 rpm. Calculate the power in W that is needed to operate this mixer. 100 60 40 2,3 20 10 1 2 3 4 0.6 0.4F 5 0.2 ui 0.1 2 4 102 2 4 103 2 4 109 4 2 10 4 2 4 105 DNp N'Re %3D P Np 642 4-
..s) A mixer with a flat blade turbine impeller with six blade-disk is used in a mixing process. The mixing tank has a 2.46 ft impeller diameter, 0.15 m turbine blade width, 2.4 m tank diameter, 0.2 m baffle width, and a liquid depth of 7.874 ft. The mixing fluid has a viscosity of 30 cP and a density of 78 lb/ft. The turbine speed is 120 rpm. Calculate the power in W that is needed to operate this mixer. 100 60 40 2,3 20 10 1 2 3 4 0.6 0.4F 5 0.2 ui 0.1 2 4 102 2 4 103 2 4 109 4 2 10 4 2 4 105 DNp N'Re %3D P Np 642 4-
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![### Text Transcription
**Problem Statement:**
A mixer with a flat blade turbine impeller with six blade-disk is used in a mixing process. The mixing tank has a 2.46 ft impeller diameter, 0.15 m turbine blade width, 2.4 m tank diameter, 0.2 m baffle width, and a liquid depth of 7.874 ft. The mixing fluid has a viscosity of 30 cP and a density of 78 lb/ft³. The turbine speed is 120 rpm. Calculate the power in W that is needed to operate this mixer.
### Graph Explanation
**Description:**
The graph provided is a logarithmic plot, where the x-axis and y-axis are both on logarithmic scales. The graph is used to find the Power Number (NP) based on the Reynolds number (N'Re).
- **X-Axis:** The scale is logarithmic, ranging from 1 to \(10^5\). This axis represents the Reynolds number, \(N'Re = \frac{D_a^2N\rho}{\mu}\).
- **Y-Axis:** The scale is logarithmic and displays values from 0.1 to 100. This axis represents the Power Number, \(N_P = \frac{P}{\rho N^3 D_a^5}\).
- **Curves:** Five distinct curves are labeled 1 through 5. These curves correspond to different configurations or conditions of the mixer system.
### Formula Explanation
1. **Power Number (NP):**
\[
N_P = \frac{P}{\rho N^3 D_a^5}
\]
- \( P \) is the power (W)
- \( \rho \) is the fluid density
- \( N \) is the rotational speed
- \( D_a \) is the impeller diameter
2. **Reynolds Number (N'Re):**
\[
N'Re = \frac{D_a^2 N \rho}{\mu}
\]
- \( \mu \) is the fluid viscosity
This graph is used in the context of mixing processes to determine the relationship between the mixing dynamics and the required power, given specific fluid and impeller properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02152486-4b3e-4971-933f-7bbbd61f61b8%2Ffc996456-6f83-409d-86fd-0c65099077d6%2Fuzgj0nc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Text Transcription
**Problem Statement:**
A mixer with a flat blade turbine impeller with six blade-disk is used in a mixing process. The mixing tank has a 2.46 ft impeller diameter, 0.15 m turbine blade width, 2.4 m tank diameter, 0.2 m baffle width, and a liquid depth of 7.874 ft. The mixing fluid has a viscosity of 30 cP and a density of 78 lb/ft³. The turbine speed is 120 rpm. Calculate the power in W that is needed to operate this mixer.
### Graph Explanation
**Description:**
The graph provided is a logarithmic plot, where the x-axis and y-axis are both on logarithmic scales. The graph is used to find the Power Number (NP) based on the Reynolds number (N'Re).
- **X-Axis:** The scale is logarithmic, ranging from 1 to \(10^5\). This axis represents the Reynolds number, \(N'Re = \frac{D_a^2N\rho}{\mu}\).
- **Y-Axis:** The scale is logarithmic and displays values from 0.1 to 100. This axis represents the Power Number, \(N_P = \frac{P}{\rho N^3 D_a^5}\).
- **Curves:** Five distinct curves are labeled 1 through 5. These curves correspond to different configurations or conditions of the mixer system.
### Formula Explanation
1. **Power Number (NP):**
\[
N_P = \frac{P}{\rho N^3 D_a^5}
\]
- \( P \) is the power (W)
- \( \rho \) is the fluid density
- \( N \) is the rotational speed
- \( D_a \) is the impeller diameter
2. **Reynolds Number (N'Re):**
\[
N'Re = \frac{D_a^2 N \rho}{\mu}
\]
- \( \mu \) is the fluid viscosity
This graph is used in the context of mixing processes to determine the relationship between the mixing dynamics and the required power, given specific fluid and impeller properties.
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