Every nation under heaven: the importance of the biblical concept of nations for contemporary mission practice

Is there a concept of nationhood in the Bible that can provide us with a framework for cross-cultural Christian mission? This thesis argues that current evangelical missiology has accepted too willingly the categories of the secular Enlightenment understanding of ethnicity and nationhood, and that it needs to rethink its understanding of nations from a biblical standpoint. While the pressures of globalisation are seen by some as rapidly eclipsing the nation-state, this thesis will argue that we need to move beyond the narrower secular categories of citizenship, political power and the boundaries of the state to recover a more biblical understanding of nationhood. By reference to Genesis 10-11, Acts 2:1-11 and those passages in the Book of Revelation that discuss the destiny of the nations, it will show that the biblical understanding of nations includes deeper ideas of shared history, culture and language as the essential components of nationhood. It will explain how nations are part of the created order, and explore the impact of the Babel narrative on our understanding of nations in relation to God. It will demonstrate that Pentecost did not reverse the curse of Babel, but served rather to honour the dignity and value of nations and their languages. It will also argue that nations have a destiny in the New Creation according to the Book of Revelation. This biblical concept of nationhood has significant implications in several areas: the development of a public theology; a Christian response to nationalism; the question of how urban mission fits within mission to the nations; and the importance of indigenous languages in cross-cultural mission, especially in the multicultural cities of Europe.

Eulerian-Lagrangian definition of coarse bed-load transport: Theory and verification with low-cost inertial measurement units

Fluvial sediment transport is controlled by hydraulics, sediment properties and arrangement, and flow history across a range of time scales. This physical complexity has led to ambiguous definition of the reference frame (Lagrangian or Eulerian) in which sediment transport is analysed. A general Eulerian-Lagrangian approach accounts for inertial characteristics of particles in a Lagrangian (particle fixed) frame, and for the hydrodynamics in an independent Eulerian frame. The necessary Eulerian-Lagrangian transformations are simplified under the assumption of an ideal Inertial Measurement Unit (IMU), rigidly attached at the centre of the mass of a sediment particle. Real, commercially available IMU sensors can provide high frequency data on accelerations and angular velocities (hence forces and energy) experienced by grains during entrainment and motion, if adequately customized. IMUs are subjected to significant error accu- mulation but they can be used for statistical parametrisation of an Eulerian-Lagrangian model, for coarse sediment particles and over the temporal scale of individual entrainment events. In this thesis an Eulerian-Lagrangian model is introduced and evaluated experimentally. Absolute inertial accelerations were recorded at a 4 Hz frequency from a spherical instrumented particle (111 mm diameter and 2383 kg/m3 density) in a series of entrainment threshold experiments on a fixed idealised bed. The grain-top inertial acceleration entrainment threshold was approximated at 44 and 51 mg for slopes 0.026 and 0.037 respectively. The saddle inertial acceleration entrainment threshold was at 32 and 25 mg for slopes 0.044 and 0.057 respectively. For the evaluation of the complete Eulerian-Lagrangian model two prototype sensors are presented: an idealised (spherical) with a diameter of 90 mm and an ellipsoidal with axes 100, 70 and 30 mm. Both are instrumented with a complete IMU, capable of sampling 3D inertial accelerations and 3D angular velocities at 50 Hz. After signal analysis, the results can be used to parametrize sediment movement but they do not contain positional information. The two sensors (spherical and ellipsoidal) were tested in a series of entrainment experiments, similar to the evaluation of the 111 mm prototype, for a slope of 0.02. The spherical sensor entrained at discharges of 24.8 ± 1.8 l/s while the same threshold for the ellipsoidal sensor was 45.2 ± 2.2 l/s. Kinetic energy calculations were used to quantify the particle-bed energy exchange under fluvial (discharge at 30 l/s) and non-fluvial conditions. All the experiments suggest that the effect of the inertial characteristics of coarse sediments on their motion is comparable to the effect hydrodynamic forces. The coupling of IMU sensors with advanced telemetric systems can lead to the tracking of Lagrangian particle trajectories, at a frequency and accuracy that will permit the testing of diffusion/dispersion models across the range of particle diameters.