Prediction of batch heat transfer coefficients for pseudoplastic fluids ...

Prediction of batch heat transfer coefficients for pseudoplastic fluids ... Prediction of batch heat transfer coefficients for pseudoplastic fluids ...

archives.njit.edu
from archives.njit.edu More from this publisher
04.11.2014 Views

20 l'UXIlfG OF NON -NE1rJTONIAN FLUIDS The mixing of non-Newtonian fluids in an agitated vessel is a 'lIDi t operation somel'1fhat similar to batch heat transfer. It is presented because some of the results of the Hork on mixing can be utilized in developing a correlation for predicting batch heat transfer coefficients. Batch heat transfer could be classified as a problem involving the quality of mixing but it is usually considered as a separate study. A review of the small amount of Hork on batch heat transfer to non-Nel'ITtonian fluids will be considered later in this chapter. This section reviel'JS the study of pov-rer requirements and the quality of mixing. Much of the work on fluid flow and heat transfer to pseudoplastics in pipes (revie'tved in \1Iilkinson.1 213; Metzner, 118; and Thomas, 190) was theoretical in nature. The geometry and flO1..J patterns in an agitated vessel, hmvever, are rather complex for this approach. The velocity profile in a pipe could be quantitized since it was only a function of wall shear stress, average velocity, and rheological parameters. In addition the flow Has in only one direction. In a mixing vessel the floH is three dimensional, the "\-lall shear stress is QnY~OHn, and the average velocity is not only difficult to define, but is dependent upon the rheological properties, the speed of the agitator, the shape, dimensions, and position of the agitator, and the vessel geometry.. Because of great number of 'lIDknown relationships, which are made even more

21 complicated by a variable viscosity, all of the 1~ork to date has been experimental rather than theoretical. Power Requirements POl.'lTer requirements for Newtonian fluids have been studied by many investigators and are summarized in many good reviel.Js (12, 9~., 142, 158,162,163 ) • The approach used vJas to def'ine the variables and use dimensional analysis to combine these variables into dimensionless groups.. An all inclusive analysis is given by (12,158) where P N is the power requ~red. is the rotational speed of' agitator. D' a. is the diameter of' the agitator. D t is the diameter of' the vessel. IlL Hc is the liquid height. is the clearance between impeller bottom and vessel bottom. is the width of' the agitator. is the baf'fle 1.Jid th .. is the number of baffles. is a reference n~unber of baffles. is the number of blades on the impeller. is a reference number of blades on the impeller ..

21<br />

complicated by a variable viscosity, all <strong>of</strong> the 1~ork<br />

to<br />

date has been experimental rather than theoretical.<br />

Power Requirements<br />

POl.'lTer requirements <strong>for</strong> Newtonian <strong>fluids</strong> have been<br />

studied by many investigators and are summarized in many<br />

good reviel.Js (12, 9~., 142, 158,162,163 ) • The approach used<br />

vJas to def'ine the variables and use dimensional analysis to<br />

combine these variables into dimensionless groups..<br />

An all<br />

inclusive analysis is given by (12,158)<br />

where P<br />

N<br />

is the power requ~red.<br />

is the rotational speed <strong>of</strong>' agitator.<br />

D' a.<br />

is the diameter <strong>of</strong>' the agitator.<br />

D t<br />

is the diameter <strong>of</strong>' the vessel.<br />

IlL<br />

Hc<br />

is the liquid height.<br />

is the clearance between impeller bottom and<br />

vessel bottom.<br />

is the width <strong>of</strong>' the agitator.<br />

is the baf'fle 1.Jid th ..<br />

is the number <strong>of</strong> baffles.<br />

is a reference n~unber<br />

<strong>of</strong> baffles.<br />

is the number <strong>of</strong> blades on the impeller.<br />

is a reference number <strong>of</strong> blades on the impeller ..

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!