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Although a number of definitions of mixing have been proposed in the literature, no single definition accurately and clearly describes the full range of problems in the field of industrial mixing. Based on the review of mixing and segregation characterization techniques in chemical engineering, spatial statistics and population studies, a definition of industrial mixing is proposed in this thesis, based on three separate dimensions of segregation. The first dimension is the intensity of segregation which quantifies the uniformity of concentration; the second dimension is the scale of segregation or clustering; and the last dimension is the exposure or the potential to reduce segregation. The first dimension focuses on the instantaneous concentration variance; the second on the instantaneous length scales in the mixing field; and the third on the driving force for change, i.e. the mixing time scale, or the instantaneous rate of reduction in segregation. The definition is introduced using concepts, theory and mathematical equations. This definition provides a theoretical framework for the rigorous analysis of mixing problems, encompassing all industrial mixing processes and allowing a clear evaluation of experimental methods. In this work, the three dimensions of segregation are presented and defined in the context of previous definitions of mixing, and then applied to a range of industrial mixing problems to test their accuracy and robustness. Suitable quantities for direct measurement of the dimensions of segregation are then investigated in detail. The result is a toolkit of ready-to-use methods for the measurement of the intensity (CoV) and the scale of segregation (maximum striation thickness on a transect, point-to-nearest neighbour distributions and variogram), provided as Matlab codes. The chosen methods are thoroughly investigated by testing their applicability, limitations, sampling strategies and meaningfulness of the results using selected sets of mixing data, resulting in creation of guidelines for the use of each of the provided methods. The developed definition of mixing, together with tools and guidelines for measurement of mixing will help researches to further develop the field of mixing, engineers to solve practical industrial mixing problems, and instructors of chemical engineering courses to introduce mixing concepts more easily. / Chemical Engineering

This study, located in the disciplines of human geography and demography, explores the socio-spatial boundaries encapsulating Britain’s Jewish population, particularly at micro-scales. It highlights and challenges key narratives of both Jewish and general interest relating to residential segregation, assimilation, partnership formation, exogamy and household living arrangements. It presents a critical exploration of the dual ethnic and religious components of Jewish identity, arguing that this ‘White’ group has become ethnically ‘invisible’ in British identity politics and, as a consequence, is largely overlooked. In addition, the key socio-demographic processes relating to Jewish partnership formation are addressed and a critical assessment of data pertaining to the decline of marriage, the rise of cohabitation and the vexed topic of Jewish exogamy, is presented. The analysis culminates by linking each of these issues to the micro-geographical scale of the household and develops a critical assessment of this key unit of Jewish (re)production. Jewish population change is contextualised within the framework of the second demographic transition. This deliberately quantitative study is designed to exploit a recent glut of data relating to Jews in Britain. It interrogates specially commissioned tables from Britain’s 2001 Census as well as four separate communal survey data sources. It highlights and challenges recent geographical critiques of quantitative methodologies by presenting a rigorous defence of quantification in post-‘cultural turn’ human geography. It emphasises the importance and relevance of this fruitful shift in geographical thought to quantitative methods and describes the role quantification can now play in the discipline. Above all, it synthesises two disparate sets of literature: one relating to geographical work on identity and segregation, and the other to work on the identity, demography and cultural practices of Jews. As a result, this thesis inserts the largely neglected ethno-religious Jewish case into the broader geographical literature whilst developing a critical quantitative spatial agenda for the study of Jews.