Foundations of Colloid Science, Volume 1Liquid suspension systems are the basic ingredients of paints, detergents, biological cells, and countless other systems of scientific and technological importance. This book presents the fundamental physical and chemical concepts necessary to the understanding of these systems and of colloid science in general. New ideas are introduced carefully and formulae are developed in full, with exercises to help the reader throughout. The frequent references to the many applications of colloid science will be especially helpful to beginning research scientists and people in industry, medicine and agriculture who often find their training in this area inadequate. Integrating developments from the time of colloid science's infancy forty years ago to its present state as a rigorous discipline, this intelligently assembled work elucidates a remarkable range of concepts, techniques, and behaviors. |
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Page 637
... Vector ( cross ) product and the curl of a vector field The cross product of two vectors b × a can be represented ê1 ê2 êz bxa = b1 b2 bз a1 a2 а3 = ( b2a3 − b3a2 ) ê1 + ( b3a1 − b1a3 ) ê1⁄2 + ( b1a1⁄2 − b2a1 ) ê3 ( A3.12 ) where ê1 ...
... Vector ( cross ) product and the curl of a vector field The cross product of two vectors b × a can be represented ê1 ê2 êz bxa = b1 b2 bз a1 a2 а3 = ( b2a3 − b3a2 ) ê1 + ( b3a1 − b1a3 ) ê1⁄2 + ( b1a1⁄2 − b2a1 ) ê3 ( A3.12 ) where ê1 ...
Page 639
... vector arrived at by applying the same principle as is used in eqn ( A3.5 ) . The first component of that vector is then ( ( ♂2v1 / dx } ) + ( ♂2v1 / dx2 ) + ( Ə2v1 / dx } ) ) . The operator V. V applied to a vector thus has the ...
... vector arrived at by applying the same principle as is used in eqn ( A3.5 ) . The first component of that vector is then ( ( ♂2v1 / dx } ) + ( ♂2v1 / dx2 ) + ( Ə2v1 / dx } ) ) . The operator V. V applied to a vector thus has the ...
Page 672
... vector calculus 495 vector dipole moment operator 629 vector field 632 vector , unit 497 vectors cross - product of 501 , 637 dot product of 501 , 633 summary 631 velocity average , in flowing suspension 539 fluid 495 , 635 relation to ...
... vector calculus 495 vector dipole moment operator 629 vector field 632 vector , unit 497 vectors cross - product of 501 , 637 dot product of 501 , 633 summary 631 velocity average , in flowing suspension 539 fluid 495 , 635 relation to ...
Contents
CHARACTERIZATION OF COLLOIDAL | 2 |
BEHAVIOUR OF COLLOIDAL DISPERSIONS | 49 |
PARTICLE SIZE AND SHAPE | 104 |
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adsorbed adsorption aggregation approximation aqueous assumed behaviour Brownian motion bulk calculated capillary chemical chemical potential coagulation coefficient Colloid interface Sci colloid science colloidal dispersions colloidal particles component constant contact angle crystal curvature curve density determined dielectric diffuse dipole distance distribution DLVO theory double layer droplet effect electrolyte electron electrostatic enthalpic entropy equation equilibrium Establish eqn Exercise experimental flocculation flow fluid force formula free energy frequency function given head group hydrocarbon interaction energy ions liquid material measured method micelle microscope molar mass molecular molecules monomer negative Note obtained occurs Overbeek phase plates polymer potential energy procedure quantity R₁ radius region repulsion result scattering sedimentation separation shear silver iodide solid solution solvent spheres spherical stabilizing moieties steric stabilization stress surface tension surfactant suspension temperature term theory thermodynamic vector velocity viscosity volume Waals x₁ Young-Laplace equation zero