Diss.--Jena (J.T. Wasser, respondent). / Head-piece.

Diss.--Jena (J.T. Wasser, respondent). / Head-piece.

Thesis (Ph. D.)--Columbia University, 1937. / Vita. "This Paper appears in condensed form in Trans. A.I. Ch. E., vol. 33 ... (1937)." "Literature cited": p. 22.

This thesis is devoted to the effect of phonon-phonon interactions on the energy of a non-viscous fluid, and hence to its specific heat. It extends the work of previous authors by taking into account the terms in the Hamiltonian of higher than the second order (lowest order) in the field variables. It is shown that the term of third order in the field variables, contributing in second order, and the term of fourth order, contributing in first order, may give significant contributions if the theory is applied to liquid helium II. The phonon energy in this approximation is linear in the momentum, Ek = (1 + ∝-δ)c₀kk- Here, c₀kk is the contribution of the fourth order term and -δc₀kk the contribution of the third order term. c₀kk is the value obtained by previous authors by considering the lowest order term only. It is shown that for liquid helium II the contribution to the energy of the non-linear terms is smaller than that of the linear terms. In this expression for the energy (1 + ∝ - δ)c₀ is interpreted as the measured velocity of first sound. Thus the cubic term in the specific heat is unchanged in this approach, the effect of the higher order terms in the Hamiltonian being to change the velocity of sound. Because the non-linear terms have been found to be small the conclusion has been reached that the terms of higher order in the temperature than the third cannot be attributed to phonons, and that therefore this theory is only valid for liquid helium II below 0.6°K. / Science, Faculty of / Physics and Astronomy, Department of / Graduate

A study of the flow of fluids in porous media has been made. The porosity and permeability of a sample of Athabasca Tar Sand have been measured. The screen analyses of a representative series of samples have been interpreted on the basis of the internal erosion of the sand mass. / Applied Science, Faculty of / Chemical and Biological Engineering, Department of / Graduate

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Wan Tsz Kai, Jones. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves [81]-83). / Text in English; abstract also in Chinese. / Wan Tsz Kai, Jones. / Abstract --- p.i / Acknowledgement --- p.iii / Contents --- p.iv / List of Figures --- p.vii / List of Tables --- p.xii / Chapter Chapter 1. --- Introduction --- p.1 / Chapter 1.1 --- What is an electrorheological fluid? --- p.1 / Chapter 1.2 --- Overview of recent works on ER fluids by using the dipolar model --- p.2 / Chapter 1.3 --- Objectives of the thesis --- p.3 / Chapter Chapter 2. --- Justification of the dipolar model --- p.6 / Chapter 2.1 --- Derivation of the dipolar factor --- p.6 / Chapter 2.2 --- Modification of the dipolar factor for a pair of polarized spheres --- p.7 / Chapter 2.2.1 --- Image charge for a conducting sphere --- p.8 / Chapter 2.2.2 --- Difference equation for a pair of equal spheres: point charge consideration --- p.10 / Chapter 2.2.3 --- Induced image dipoles for a pair of conducting spheres --- p.13 / Chapter 2.3 --- Force and energy between a pair of polarized spheres --- p.16 / Chapter 2.3.1 --- Calculation of multipole force by the thermodynamic approach --- p.17 / Chapter 2.3.2 --- Calculation of multipole force by the energy consideration --- p.18 / Chapter 2.3.3 --- Comparison of the multipole force with the force between two point dipoles --- p.19 / Chapter 2.3.4 --- Results and Discussion --- p.22 / Chapter Chapter 3. --- Dielectric response of ER fluids --- p.26 / Chapter 3.1 --- Effective dielectric response of two-component systems: Maxwell- Garnett theory --- p.27 / Chapter 3.1.1 --- Formalism and the dilute limit --- p.27 / Chapter 3.1.2 --- Maxwell-Garnett approximation --- p.29 / Chapter 3.2 --- Effective dielectric response of three-component systems: spectral representation --- p.31 / Chapter 3.2.1 --- Generalized Maxwell-Garnett approximation --- p.31 / Chapter 3.2.2 --- Spectral representation of three-component systems --- p.33 / Chapter 3.3 --- "Effective dielectric response of three-component systems: dielectric core coated with, a liquid water shell embedded in a host medium" --- p.37 / Chapter 3.3.1 --- Poles and Residues --- p.37 / Chapter 3.3.2 --- Contribution of the resonant terms --- p.39 / Chapter 3.3.3 --- Contribution of the non-resonant term --- p.43 / Chapter 3.4 --- Effective dielectric response of three-component systems: dielectric core coated with a metallic shell embedded in a host medium --- p.45 / Chapter 3.5 --- Effective dielectric response of three-component systems: Metallic core coated with a dielectric shell embedded in a host medium --- p.47 / Chapter 3.6 --- Conclusion --- p.49 / Chapter Chapter 4. --- System of distributed shell thickness --- p.51 / Chapter 4.1 --- Numerical solution of the spectral density of constant shell thickness --- p.51 / Chapter 4.2 --- Spectral density of distributed shell thickness --- p.53 / Chapter Chapter 5. --- Anisotropic three-component systems --- p.60 / Chapter 5.1 --- Generalized Maxwell-Garnett approximation for anisotropic structure --- p.60 / Chapter 5.2 --- Anisotropic Maxwell-Garnett formula --- p.63 / Chapter 5.3 --- Spectral representation for anisotropic microstructures --- p.65 / Appendix A. Potential energy function and dipolar factor TO --- p.70 / Appendix B. Ground state structure of an ER fluid --- p.72 / Chapter B.1 --- Structure formation due to dipole interaction --- p.72 / Chapter B.2 --- Dipole energy for other lattice structures --- p.75 / Appendix C. Yield stress and shear modulus --- p.78 / Bibliography --- p.81

Wan Tsz Kai, Jones. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (p. [91]-95). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese. / Wan Tsz Kai, Jones.