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Problem 2. A flat blade turbine impeller is installed in a tank. The tank diameter (D;) is 1.83 m, the turbine diameter (Da) is 0.61 m, the width of the turbine blades (W) is 0.122 m and the liquid level is equal to the tank diameter. The tank contains four baffles, each with a width (J) of 0.15 m. The turbine is operated at 180 rpm and the liquid in the tank has a viscosity of 10 cp and a density of 929 kg/m³. This tank is used to mix two miscible liquids. What is the mixing time? 103 102 10 1 1 لسلبيلسل لسلييد 102 لسسلبيلسلييلسلد 10 103 10 10 106 N'. Re = 1; = 'f

Problem 2. A flat blade turbine impeller is installed in a tank. The tank diameter (D;) is 1.83 m, the turbine diameter (Da) is 0.61 m, the width of the turbine blades (W) is 0.122 m and the liquid level is equal to the tank diameter. The tank contains four baffles, each with a width (J) of 0.15 m. The turbine is operated at 180 rpm and the liquid in the tank has a viscosity of 10 cp and a density of 929 kg/m³. This tank is used to mix two miscible liquids. What is the mixing time? 103 102 10 1 1 لسلبيلسل لسلييد 102 لسسلبيلسلييلسلد 10 103 10 10 106 N'. Re = 1; = 'f

Introduction to Chemical Engineering Thermodynamics
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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**Problem 2:** A flat blade turbine impeller is installed in a tank. The tank diameter (\(D_t\)) is 1.83 m, the turbine diameter (\(D_a\)) is 0.61 m, the width of the turbine blades (\(W\)) is 0.122 m, and the liquid level is equal to the tank diameter. The tank contains four baffles, each with a width (\(J\)) of 0.15 m. The turbine is operated at 180 rpm and the liquid in the tank has a viscosity of 10 cp and a density of 929 kg/m³. This tank is used to mix two miscible liquids. What is the mixing time? **Graph Explanation:** The graph is a log-log plot showing the relationship between two dimensionless groups: 1. The vertical axis represents \(\left(\frac{(ND_a^2)^{2/3} g D_a^{1/2}}{H^{1/2} D_t^{3/2}}\right)\), where \(N\) is the rotational speed, \(g\) is the acceleration due to gravity, and \(H\) is the liquid height. 2. The horizontal axis represents \(N_{Re} = \frac{N D_a^2 \rho}{\mu}\), which is the Reynolds number in this context, accounting for rotational effects. The curve on the graph shows how the mixing time changes with different Reynolds numbers affecting the system. Higher Reynolds numbers typically indicate more turbulent conditions, which can result in different mixing characteristics. The chart helps evaluate the interplay between impeller velocity, fluid properties, and mixing efficiency, aiding in the calculation of the mixing time for different operational settings.
Transcribed Image Text:**Problem 2:** A flat blade turbine impeller is installed in a tank. The tank diameter (\(D_t\)) is 1.83 m, the turbine diameter (\(D_a\)) is 0.61 m, the width of the turbine blades (\(W\)) is 0.122 m, and the liquid level is equal to the tank diameter. The tank contains four baffles, each with a width (\(J\)) of 0.15 m. The turbine is operated at 180 rpm and the liquid in the tank has a viscosity of 10 cp and a density of 929 kg/m³. This tank is used to mix two miscible liquids. What is the mixing time? **Graph Explanation:** The graph is a log-log plot showing the relationship between two dimensionless groups: 1. The vertical axis represents \(\left(\frac{(ND_a^2)^{2/3} g D_a^{1/2}}{H^{1/2} D_t^{3/2}}\right)\), where \(N\) is the rotational speed, \(g\) is the acceleration due to gravity, and \(H\) is the liquid height. 2. The horizontal axis represents \(N_{Re} = \frac{N D_a^2 \rho}{\mu}\), which is the Reynolds number in this context, accounting for rotational effects. The curve on the graph shows how the mixing time changes with different Reynolds numbers affecting the system. Higher Reynolds numbers typically indicate more turbulent conditions, which can result in different mixing characteristics. The chart helps evaluate the interplay between impeller velocity, fluid properties, and mixing efficiency, aiding in the calculation of the mixing time for different operational settings.
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