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Heat transfer in a jacketed agitated vessel equipped with multistage impellers

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Abstract

In this work, heat transfer via the cylindrical part of the jacket in an agitated vessel has been investigated. Heat transfer coefficients were determined using the transient method based on measuring the temperature dependency of the liquid batch on time. A multistage impeller made of two impellers was used in a cylindrical vessel with dished bottom. The lower impeller was a curved blade turbine with the diameter of d = 100 mm and the upper impeller was either a pitched three-blade or pitched four-blade impeller with the diameter of d1 = 67 mm. Three different impeller clearances in a multistage configuration, H3/d1 = 1, 1.5, and 2, were used in our measurements. The vessel was equipped with two baffles. Experimental results were evaluated using the Euler’s method and nonlinear regression procedure in the Matlab® software and they are summarized in form of Nusselt number correlations describing their dependency on the Reynolds number.

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Abbreviations

a:

thermal diffusivity m2 s−1

B:

baffle width m

c:

constant

cp:

specific heat capacity J kg−1 K−1

D:

inner vessel diameter m

d:

lower impeller diameter m

d:

model parameter (Eq. (7))

d 1 :

upper impeller diameter m

H:

liquid height m

H 2 :

height of impeller above bottom m

H 3 :

distance between impellers m

k:

mixing efficiency in Eq. (21)

M:

mass of liquid kg

m:

model parameter (Eq. (5))

ṁ A :

mass flow rate of heating or cooling liquid kg s−1

N:

impeller rotation speed s−1

n:

model parameter (Eq. (5))

Nu:

Nusselt number (= αD/λ)

P:

power W

Po:

power number

Pr:

Prandtl number (= μc p /λ)

Q̇:

heat transfer rate W

q:

heat flux density W m2

r:

model parameter (Eq. (7))

Re:

Reynolds number (= ρNd2/μ)

S:

heat transfer area m2

s:

model parameter (Eq. (5))

T:

temperature °C, K

T 0 :

initial temperature °C, K

T w :

wall temperature °C, K

T′A:

inlet temperature of heating or cooling liquid °C, K

T″A:

outlet temperature of heating or cooling liquid °C, K

T̄:

average temperature °C, K

t:

time s

V:

volume m3

Vi:

viscosity ratio (=μ̄/μw)

α:

heat transfer coefficient W m−2 K−1

λ:

thermal conductivity of agitated liquid W m−1 K−1

μ:

dynamic viscosity of agitated liquid Pa s

μ̄:

dynamic viscosity of mixed liquid at average temperature Pa s

μw:

dynamic viscosity of agitated liquid at the wall of the vessel Pa s

ν:

kinematic viscosity of agitated liquid m2 s−1

ρ:

density of agitated liquid kg m−3

ρ̄:

density of agitated liquid at average temperature kg m−3

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Authors and Affiliations

  1. Department of Process Engineering, Faculty of Mechanical Engineering, Czech Technical University in Prague, Technická, 166 07, Prague 6, Czech Republic

    Marcela Věříšová, Martin Dostál, Tomáš Jirout & Karel Petera

Authors
  1. Marcela Věříšová
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  2. Martin Dostál
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  3. Tomáš Jirout
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  4. Karel Petera
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Correspondence to Marcela Věříšová.

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Věříšová, M., Dostál, M., Jirout, T. et al. Heat transfer in a jacketed agitated vessel equipped with multistage impellers. Chem. Pap. 69, 690–697 (2015). https://doi.org/10.1515/chempap-2015-0080

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