= A fermentation broth with a viscosity of , = 5x10' Pas and density of p,...
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= A fermentation broth with a viscosity of μ, = 5x10' Pas and density of p, 1000kg/m' is agitated in an industrial-scale fermenter with a diameter of 3 m and 25 m³ working volume using a Rushton turbine with a diameter of 1 m as show in the figure. The fermenter has a cylindrical shape. The stirrer speed is 60 rpm. The fermenter is sparged with air at a volumetric flow rate of 0.3 m³/min to grow microbial cells with a size of 100 micrometers. Assume the fermentation broth is a Newtonian fluid. (1) What is the impeller Reynolds number? (2) What is the mixing time? (3) Power consumption Laminar flow: P=NpN'D=kuN'D Impelles type Rathin tibi Pached Made turbine Marine propelle P=NpN'D' Turbulent flow: TABLEKI Vil of the Cein lie the Smel Tank Cemetries Defend in Figs 29 and 35 4,611 74-3 FI NI= Fr= Completely dispersed? 105 F1,-0.2 50 N'D g Re= 1.54 D 13 du 431 6.36 ND P μ when Re, > 5x 10¹ H₂ Hel 1000 (4) What is the size of eddies? If the size of the microbial cells in the fermenter is 100 micrometers, will the eddies cause the shear damage to the microbial cells? Eddy size: (2 2 m (5) Under the normal operating condition, is the air in the fermenter completely dispersed? Calculate two dimenisonal numbers: F N,D M D₁ H₁ = A fermentation broth with a viscosity of μ, = 5x10' Pas and density of p, 1000kg/m' is agitated in an industrial-scale fermenter with a diameter of 3 m and 25 m³ working volume using a Rushton turbine with a diameter of 1 m as show in the figure. The fermenter has a cylindrical shape. The stirrer speed is 60 rpm. The fermenter is sparged with air at a volumetric flow rate of 0.3 m³/min to grow microbial cells with a size of 100 micrometers. Assume the fermentation broth is a Newtonian fluid. (1) What is the impeller Reynolds number? (2) What is the mixing time? (3) Power consumption Laminar flow: P=NpN'D=kuN'D Impelles type Rathin tibi Pached Made turbine Marine propelle P=NpN'D' Turbulent flow: TABLEKI Vil of the Cein lie the Smel Tank Cemetries Defend in Figs 29 and 35 4,611 74-3 FI NI= Fr= Completely dispersed? 105 F1,-0.2 50 N'D g Re= 1.54 D 13 du 431 6.36 ND P μ when Re, > 5x 10¹ H₂ Hel 1000 (4) What is the size of eddies? If the size of the microbial cells in the fermenter is 100 micrometers, will the eddies cause the shear damage to the microbial cells? Eddy size: (2 2 m (5) Under the normal operating condition, is the air in the fermenter completely dispersed? Calculate two dimenisonal numbers: F N,D M D₁ H₁
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1 What is the impeller Reynolds number The impeller Reynolds number is calculated using the following formula Re ND where N is the rotational speed of ... View the full answer
Related Book For
Fundamentals of Thermal-Fluid Sciences
ISBN: 978-0078027680
5th edition
Authors: Yunus A. Cengel, Robert H. Turner, John M. Cimbala
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