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CFD simulation of convective heat transfer in vessel with mechanical agitation for milk

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Abstract

Computational fluid dynamics (CFD) analysis using ANSYS Fluent software has been carried out to investigate velocity profiles and thermal characteristics of milk during heating under mechanically agitated condition. In earlier article experimental data on forced convection heat transfer coefficient \(\left(\stackrel{-}{\mathrm{h}}\right)\) and correlations of the form \(\mathrm{N}\mathrm{u}=\mathrm{a}\cdot {\mathrm{R}\mathrm{e}}^{\mathrm{b}}\cdot {\mathrm{P}\mathrm{r}}^{0.33}\) for cow milk, standardised milk and full cream milk in Baffled vessel and Unbaffled vessel with scraping, using Propeller, Flat Six Blade Turbine (FBT), Inclined Six Blade Turbine (IBT) and Paddle impellers were reported. It was noted milk in Baffled vessel with Paddle impeller provided highest \(\stackrel{-}{\mathrm{h}}\) even at lower rotational speeds followed by Propeller, FBT and IBT impellers. In Unbaffled vessel with scraping, Propeller provided the highest \(\stackrel{-}{\mathrm{h}}\) followed by FBT and IBT impellers. Hence, the present investigation has been carried out to validate and understand how different velocity of flow currents and their magnitude influence the heat transfer coefficient values in CFD simulation. It also justifies the relative performance of the impellers delineated in the earlier paper. In addition, theoretical values of heat transfer coefficients computed using CFD shows close agreement with experimental values.

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Abbreviations

\({\mathrm{C}}_{\mathrm{p}\mathrm{m}}\) :

Specific heat \(\left(\frac{\mathrm{J}}{\mathrm{K}\mathrm{g} \mathrm{K}}\right)\)

\({\mathrm{D}}_{\mathrm{a}}\) :

Diameter of impeller (mm)

\({\mathrm{D}}_{\mathrm{t}}\) :

Diameter of milk vessel (mm)

E:

Height of the impeller position from vessel bottom (mm)

W:

Width of the impeller blade (mm)

L:

Length of the impeller blade (mm)

g:

Acceleration due gravity \(\left(\frac{\mathrm{m}}{{\mathrm{s}}^{2}}\right)\)

\(\stackrel{-}{\mathrm{h}}\) :

Forced convection heat transfer coefficient \(\left(\frac{\mathrm{W}}{{\mathrm{m}}^{2}\mathrm{K}}\right)\)

H:

Milk level in the vessel (mm)

J:

Baffle width (mm)

\({\mathrm{k}}_{\mathrm{m}}\) :

Thermal conductivity of milk \(\left(\frac{\mathrm{W}}{\mathrm{m} \mathrm{K}}\right)\)

m:

Mass of milk (kg)

n:

Speed of rotation of impeller (rpm)

Nu:

Nusselt number dimensionless \(\left(\frac{\stackrel{-}{\mathrm{h}}{\mathrm{D}}_{\mathrm{t}}}{{\mathrm{k}}_{\mathrm{m}}}\right)\)

p:

Pressure \(\left(\frac{\mathrm{N}}{{\mathrm{m}}^{2}}\right)\)

Pr:

Prandtl numberdimensionless \(\left(\frac{\mathrm{C}\mathrm{p}\mathrm{m}{\upmu }_{\mathrm{m}}}{{\mathrm{k}}_{\mathrm{m}}}\right)\)

q:

Heat transfer by conduction (Watt)

Re:

Reynolds number dimensionless \(\left(\frac{\mathrm{n}}{60}\right)\left(\frac{{\mathrm{D}}_{\mathrm{a}}^{2} \uprho }{\upmu }\right)\)

SS:

Stainless steel

t:

Vessel thickness (mm), blade thickness (mm) and time (s)

\({\mathrm{T}}_{\mathrm{m}}\) :

Milk temperature (K)

\({\mathrm{T}}_{\mathrm{s}}\) :

Vessel bottom surface temperature (K)

\({\mathrm{T}}_{\mathrm{m}\mathrm{o}}\) :

Initial temperature of milk (K)

\({\mathrm{T}}_{\mathrm{m}\mathrm{f}}\) :

Final temperature of milk (K)

V:

Velocity \(\left(\frac{\mathrm{m}}{\mathrm{s}}\right)\), Volume of milk in the vessel (m3)

a, b, c, n:

Correlation constants in equations

Exptl:

Experimental

CFD:

Computational fluid dynamics

FBT:

Flat six blade turbine

\({\uprho }_{\mathrm{m}}\) :

Density of milk \(\left(\frac{\mathrm{K}\mathrm{g}}{{\mathrm{m}}^{3}}\right)\)

\({\upmu }_{\mathrm{m}}\) :

Viscosity of milk \(\left(\frac{\mathrm{K}\mathrm{g}}{\mathrm{m} \mathrm{s}}\right)\)

\(\uptau\) :

Shear stress \(\left(\frac{\mathrm{N}}{{\mathrm{m}}^{\mathrm{s}}}\right)\)

\(\Delta \mathrm{T}\) :

Temperature differences (K)

References

  • Achouri R, Mokni I, Mhiri H, Bournot P (2012) A 3D CFD simulation of a self inducing pitched blade turbine downflow. Energy ConversManage 64:633–641

    Google Scholar 

  • Ammar M, Chtourou W, Driss Z, Abid MS (2011) Numerical investigation of turbulent flow generated in baffled stirred vessels equipped with three different turbines in one and two-stage system. Energy 36(8):5081–5093

    Article  Google Scholar 

  • Chakravarty A (2017) CFD simulation of heat transfer in an agitated vessel. Master thesis, Czech Technical University, Prague

  • Chtourou W, Ammar M, Driss Z, Abid M (2011) Effect of the turbulence models on Rushton turbine generated flow in a stirred vessel. Open Eng 1(4):380–389

    Article  CAS  Google Scholar 

  • Kessler HG (2002) Food and bioprocess engineering dairy technology. Kessler VA, Munich

    Google Scholar 

  • Lakghomi B, Kolahchian E, Jalali A, Farhadi F (2008) Coil and jacket’s effects on internal flow behavior and heat transfer in stirred tanks. Int J Chem Biomol Eng 24:147–151

    Google Scholar 

  • Minim LA, Coimbra JSR, Minim VPR, Romero TJ (2002) Influence of temperature and water and fat contents on the thermo physical properties of milk. J Chem Eng 47:1488–1491

    CAS  Google Scholar 

  • Murthy BN, Joshi JB (2008) Assessment of standard k–ε, RSM and LES turbulence models in a baffled stirred vessel agitated by various impeller designs. Chem Eng Sci 63(22):5468–5495

    Article  CAS  Google Scholar 

  • Rajasekaran E, Kumar B (2014) Agitator and wiper design modification for milk khoa machine. Int J Innov Res Sci ENg Technol 3(1):1262–1267

    Google Scholar 

  • Rajasekaran E, Kumar B, Muruganandhan R, Raman SV, Antony U (2018) Determination of forced convection heat transfer coefficients and development of empirical correlations for milk in vessel with mechanical agitators. J Food Sci Technol 55(7):2514–2522. https://doi.org/10.1007/s13197-018-3169-z

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Sharma R (2006) Production, processing and quality of milk products. International Book Distribution, Chicago

    Google Scholar 

Download references

Acknowledgement

The authors are grateful to the University Grants Commission, Govt. of India (UGC) for providing grants and continuous support during the work. The authors are grateful for laboratory facilities provided by the Centre for AU-FRG institute for CAD/CAM, Anna University, Chennai, Tamil Nadu, India.

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Correspondence to E. Rajasekaran.

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Rajasekaran, E., Kumar, B., Muruganandhan, R. et al. CFD simulation of convective heat transfer in vessel with mechanical agitation for milk. J Food Sci Technol 57, 3667–3676 (2020). https://doi.org/10.1007/s13197-020-04399-1

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