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Food Lipids: Chemistry, Nutrition, and Biotechnology

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� = � (1 � 2.5�) (3)<br />

0<br />

where � is the viscosity of the solution, � 0 is the viscosity of the pure solvent, <strong>and</strong><br />

� is the volume fraction of particles in solution.<br />

Biopolymers are able to enhance the viscosity of aqueous solutions at low<br />

concentrations because they have an effective volume fraction that is much greater<br />

than their actual volume fraction [1a]. A biopolymer rapidly rotates in solution because<br />

of its thermal energy, <strong>and</strong> so it sweeps out a spherical volume of water that<br />

has a diameter approximately equal to the end-to-end length of the molecule (Fig.<br />

7). The volume of the biopolymer molecule is only a small fraction of the total<br />

volume of the sphere swept out, <strong>and</strong> so the effective volume fraction of a biopolymer<br />

is much greater than its actual volume fraction. Consequently, small concentrations<br />

of biopolymer can dramatically increase the viscosity of a solution [Eq. (3)]. The<br />

effectiveness of a biopolymer at increasing the viscosity increases as the volume<br />

fraction it occupies within the sphere it sweeps out decreases. Thus large, highly<br />

extended linear biopolymers increase the viscosity more effectively than small compact<br />

or branched biopolymers.<br />

In a dilute biopolymer solution the individual molecules (or aggregates) do not<br />

interact with each other. When the concentration of biopolymer increases above some<br />

critical value c*, the viscosity increases rapidly because the spheres swept out by<br />

the biopolymers overlap with each another. This type of solution is known as a<br />

semidilute solution, because even though the molecules are interacting with one<br />

another, each individual biopolymer is still largely surrounded by solvent molecules.<br />

At still higher polymer concentrations, the molecules pack so close together that they<br />

become entangled, <strong>and</strong> the system has more gel-like characteristics. Biopolymers<br />

that are used to thicken the aqueous phase of emulsions are often used in the semidilute<br />

concentration range [3].<br />

Solutions containing extended biopolymers often exhibit strong shear-thinning<br />

behavior; that is, their apparent viscosity decreases with increasing shear stress. Some<br />

Figure 7 Extended biopolymers in aqueous solutions sweep out a large volume of water<br />

as they rotate, which increases their effective volume fraction <strong>and</strong> therefore their viscosity.<br />

Copyright 2002 by Marcel Dekker, Inc. All Rights Reserved.

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