Mathematical Models for Mixing Time of Some Additive Free Calcium Soap Lubricating Greases


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Abstract


Mixing is among the most common processes in chemical, biochemical, pharmaceutical, polymer, mineral, food, and wastewater treatment industries [1]. Several examples of greases mixing processes can be found in the literature [2]-[5].
Four greases were prepared with different concentration of calcium soap: 5%, 10%, 15% and 20% in paraffin oil. The preparation formulas for these four greases and manufacture method were presented in a recent work [6].
The aim of this study was to find a mathematical model for the mixing time of some additive-free lubricating greases. The mathematical modeling consisted on finding an accurate equation linking the mixing time (tm) and the Reynolds number (Re) at different soap concentrations and temperatures.
The mixing experiments were carried out in a laboratory autoclave equipped with an anchor impeller, without baffles, at 8 speed ratio, from 100 to 800 rpm.
The models resulted from the tm variation versus Re are power function type tm = a x Reb, where the coefficients a and b are functions of soap concentration in base oil and the processing temperature


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Keywords


Calcium Soaps Greases; Laboratory Autoclave; Mixing Time

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References


L. Pakzad, F. Ein-Mozaffari, Ph. Chan, Using computational fluid dynamics modeling to study the mixing of pseudoplastic fluids with a Scaba 6SRGT impeller, Chemical Engineering and Processing, 47, (2008), 2218–2227.

Dreveton E., Monot F., Ballerinin D., Lecourtier J., Choplin L., Effect of mixing and mass transfer conditions on gellan production by Auromonas-elodea, Journal of Fermentation and Bioengineering, 77, (1994), 642-649.

Furling, O., Choplin, L., Tanguy, P.A., On-line (in situ) viscosity follow-up of concentrated slurries during makedown, Chemical Engineering Research and Design, 79, (2001), 915-920.

Sancez M.C., Berjano M., Guerrero A., Brito E., Gallegos C., Evolution of the microstructure and rheology of O/W emulsion during the emulsification process, Canadian Journal of Chemical Engineering, 76, (1998), 479-485.

Schaffer M.A., Marchildon E.K., McAuley K.B., Cunningham M.F., Assessment of mixing performance and power consumption of a novel polimerization reactor system, Chemical Engineering and Technology, 24, (2001), 401-408.

Sterpu A.E, Teodorescu N., Prodea I.M., Neagu A., Dumitru A.I., The effect of composition and temperature on the rheological properties of greases based on calcium soaps, 1st Conference on Chemical Engineering and Advanced Materials (CEAM), VIRTUAL FORUM, Naples , Italy, November 23 - December 8, (2009) .

M.Chtouru, M.H.Frikha, M.Trabelsi, Modified smectitic Tunisian clays used in the formulation of high performance lubricating greases, Applied Clay Science, 32, (2006), 210-216.

J.E. Martin–Alfonso, C.Valencia, M.C.Sanchez, J.M Franco, C.Gallegos, Development of new lubricating grease formulations using recycled LDPE as rheology modifier additive, European Polymer Journal, 43, (2007), 139-149.

N.Anandan, C.R.Jagga, R.K.Pandley, Tribological behaviour of additive free calcium stearate greases, Tribology Online, 2, (2007), 34-39.

G. Montante, M. Mostek, M. Jahoda, F. Magelli, CFD simulations and experimental validation of homogenization curves and mixing time in stirred Newtonian and pseudoplastic liquids, Chemical Engineering Science, 60, (2005), 2427-2437.

N.K.Nere, A.W.Patvardhan, J.B.Joshi, Liquid-phase mixing in stirred vessel: turbulent flow regime, Industrial and Engineering Chemistry Research, 42, (2003), 2661-2698.

D. Anne-Archard, M. Marouche, H.C. Boisson, Hydrodynamics and Metzner–Otto correlation in stirred vessels for yield stress fluids, Chemical Engineering Journal, 125, (2006), 15–24.

D. Caşcaval, A.I. Galaction, Ş. Cămăruţ, Analysis of distribution of oxygen transfer rate in stirred bioreactors for bacterial broths, Environmental Engineering and Management Journal, 8, (2009), 17-27.

A.I. Galaction, Ş. Cămăruţ, D. Caşcaval, R. Z. Tudose, Distribution of oxygen transfer rate in stirred bioreactors with simulated broths, Environmental Engineering and Management Journal, 7, (2008), 199-211.

J.F. Maingonnat, L. Muller, J.C. Leuliet, Modelling the build-up of a thixotropic fluid under viscosimetric and mixing conditions, Journal of Food Engineering, 71, (2005), 265–272.

L. Pakzad, F. Ein-Mozaffari, Ph. Chan, Using computational fluid dynamics modeling to study the mixing of pseudoplastic fluids with a Scaba 6SRGT impeller, Chemical Engineering and Processing, 47, (2008), 2218–2227.

L. Rudolph, M. Schäfer, V. Atiemo-Obeng, M. Kraume, Experimental and numerical analysis of power consumption for mixing of high viscosity fluids with a co-axial mixer, Chemical Engineering Research and Design, 85, (2007), 568–575.

L.E. Paul, V.A. Atiemo-Obeng, S.M. Kresta, Handbook of industrial mixing. Science and Practice, (John Wiley & Sons, New Jersey 2004).

A.E. Sterpu, N. Teodorescu, I.M. Prodea, E. Popescu, I. Niţǎ, Mathematical models for power consumption at the manufacture of some biobased lubricating greases, Environmental Engineering and Management Journal, 9, (2010), 8, 1063-1068.


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