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Learn about the primary ways to determine the aerodynamics of a vehicle, including semi-empirical methods, as well as various fidelity levels for computational approaches to predicting aerodynamics. Readers should be able to determine which levels of computational aerodynamic tools are appropriate for determining various aerodynamic characteristics (e.g., stall, cruise drag, cruise lift). Know the advantages of ground-based experimental testing, as well as the limitations and inaccuracies, as well as flight testing. Understand why the integrated triad of ground test, flight test, and computational simulation are important.
The chapter begins with the basic thermodynamic concepts that form the basis of high-speed flow theory, including a basic physical understanding of the second law of thermodynamics. This results in the ability to use the isentropic flow relationships in analyzing the properties of a compressible flow field, which results in the ability to analyze flow in a stream tube, and understand how a converging–diverging nozzle works. The basic relations for determining the change in flow properties across shock waves and expansion fans are developed, which make it possible to analyze flow fields using shock and expansion calculation methods. The basic relations for viscous flow are developed, leading to the relations for calculating the local skin-friction coefficient for a compressible boundary layer. The reader will then be able to understand the cause and effect of shock–boundary layer and shock–shock interactions. Finally, concepts for how flight vehicles are tested in wind tunnels are developed, which explains why it is difficult to fully model full-scale flight characteristics.
Readers will learn why aerodynamics is important in determining the performance characteristics of airplanes. This will begin with a development of a basic understanding of fluid properties such as density, temperature, pressure, and viscosity and how to calculate these properties for a perfect gas. Basic details about the atmosphere are presented and why we use a “standard atmosphere” model to perform aerodynamic calculations; learn how to perform calculations of fluid properties in the atmosphere. Basic components of an airplane are presented and descriptions are included to describe what the components are used for.
The investigation of shock/blast wave diffraction over various objects has garnered significant attention in recent decades on account of the catastrophic changes that these waves inflict on the environment. Equally important flow phenomena can occur when the moving expansion waves diffract over bodies, which has been hardly investigated. To investigate the effect of expansion wave diffraction over different bodies, we conducted shock tube experiments and numerical simulations to visualise the intricate wave interactions that occur during this process. The current investigation focuses on the phenomenon of expansion wave diffraction across three distinct diffracting configurations, namely the bluff, wedge and ogive bodies. The diffraction phenomenon is subsequently investigated under varying expansion wave strengths through the control of the initial diaphragm rupture pressure ratios. The shock waves generated by the expansion wave diffraction in the driver side of the shock tube, which was initially identified in numerical simulations by Mahomed & Skews (2014 J. Fluid Mech., vol. 757, pp. 649–664), have been visualised in the experiments. Interesting flow features, such as unsteady shock generation, transition, and symmetric/asymmetric vortex breakdown, have been observed in these expansion flows. An in-depth analysis of such intricate flow features resulting from expansion wave diffraction is performed and characterised in the current study.
Readers will understand the physical laws that form the basis of the fluid equations of motion, and will learn how to obtain the equations of fluid motion in both derivative and integral form. Presentations are included to show how to apply the equations of motion to calculate properties of fluid flows. Readers will understand dynamic similarity and how to calculate Mach number and Reynolds number, including descriptions of the various Mach and Reynolds number regimes and their distinguishing characteristics.
The concept of circulation is presented, including the physical and mathematical concepts of circulation and lift. A description of how potential flow theory is used to model flow for airfoils, including the predictions of lift. Readers are presented with the concept of the Kutta condition, including how it impacts the development of airfoil theory. Thin-airfoil theory is developed for symmetric and cambered airfoils and methods for prediction lift and pitching moment are presented. The accuracy and limitations of thin-airfoil theory is also presented. Descriptions are presented for why laminar flow airfoils have different geometries than airfoils used at higher Reynolds numbers. Finally, high-lift systems are discussed, including why they are important for aircraft design.
The chapter will begin with the five characteristics that distinguish hypersonic flow from supersonic flow and then discuss each of the characteristics. Analysis methods will then be discussed, including Newtonian and Modified Newtonian methods, as well as tangent wedge and tangent cone methods. Analysis techniques are developed to determine the flow characteristics in the region of the stagnation point of a hypersonic vehicle, as well as the lift, drag, and pitch moment for simple geometries at hypersonic speeds. Information on the importance of heating at hypersonic speeds will be presented, followed by analysis approaches for estimating heating rates on blunt bodies. Finally, the complexities of hypersonic boundary-layer transition are introduced, including details about why transition is so challenging to predict.
Basic concepts are presented to show the difference between airfoils and wings, as well as the physical processes that cause those differences, such as wing-tip vortices. A physical description is presented for the impact of wing-tip vortices on the flow around the airfoil sections that make up a wing, and lift-line theory is developed to predict the effects of wing-tip vortices. A general description and calculation methods are presented for the basic approach and usefulness of panel methods and vortex lattice methods. A physical description for how delta wings produce lift and drag is also presented, including the importance of strakes and leading-edge extensions. High angle of attack aerodynamics is discussed, including the physical mechanisms that cause vortex asymmetry. Unmanned aerial vehicles and aerodynamic design issues are discussed. Finally, basic propeller theory and analysis approaches are introduced, including the use of propeller data to design low-speed propellers.
Readers will understand what is meant by inviscid flow, and why it is useful in aerodynamics, including how to use Bernoulli’s equation and how static and dynamic pressure relate to each other for incompressible flow. Concepts are presented to describe the basic process in measuring (and correcting) air speed in an airplane. A physical understanding of circulation is presented and how it relates to predicting lift and drag. Readers will be presented with potential flow concepts and be able to use potential flow functions to analyze the velocities and pressures for various flow fields, including how potential flow theory can be applied to an airplane.
Mixing-induced reactions play an important role in a wide range of porous media processes. Recent advances have shown that fluid flow through porous media leads to chaotic advection at the pore scale. However, how this impacts Darcy-scale reaction rates is unknown. Here, we measure the reaction rates in steady mixing fronts using a chemiluminescence reaction in index-matched three-dimensional porous media. We consider two common mixing scenarios for reacting species, flowing either in parallel in a uniform flow or towards each other in a converging flow. We study the reactive properties of these fronts for a range of Péclet numbers. In both scenarios, we find that the reaction rates significantly depart from the prediction of hydrodynamic dispersion models, which obey different scaling laws. We attribute this departure to incomplete mixing effects at the pore scale, and propose a mechanistic model describing the pore-scale deformations of the front triggered by chaotic advection and their impact on the reaction kinetics. The model shows good agreement with the effective Darcy-scale reaction kinetics observed in both uniform and converging flows, opening new perspectives for upscaling reactive transport in porous media.
We present new unconstrained simulations and constrained experiments of a pair of pitching hydrofoils in a leader–follower in-line arrangement. Free-swimming simulations with matched pitching amplitudes show self-organisation into stable formations at a constant gap distance without any control. Over a wide range of phase synchronisation, amplitude and Lighthill number typical of biology, we discover that the stable gap distance scales with the actual wake wavelength of an isolated foil rather than the nominal wake wavelength. A scaling law for the actual wake wavelength is derived and shown to collapse data across a wide Reynolds number range of $200 \leqslant Re \leqslant 59\,000$. Additionally, vortex analysis uncovers that the leader’s wake wavelength-to-chord ratio, $\lambda /c$, is the key dimensionless variable to maximise the follower’s/collective efficiency. When $\lambda /c \approx 2$ it ensures that the follower’s leading edge suction force and the net force from a nearby vortex pair act in the direction with the foil’s motion thereby reducing the follower’s power. Moreover, in both simulations and experiments mismatched foil amplitudes are discovered to increase the efficiency of hydrofoil schools by 70 % while maintaining a stable formation without closed-loop control. This occurs by (i) increasing the stable gap distance between foils to push them into a high-efficiency zone and (ii) raising the level of efficiency in these zones. This study bridges the gap between constrained and unconstrained studies of in-line schooling by showing that constrained-foil measurements can map out the potential efficiency benefits of schooling. These findings can aid in the design of high-efficiency biorobot schools.
The crystal structure of anisomycin, C14H19NO4, has been solved and refined using synchrotron X-ray powder diffraction data, and optimized using density theory functional techniques. Anisomycin crystallizes in the space group P212121 (#19) with a = 5.80382(4), b = 8.58149(6), c = 28.63508(26) Å, V = 1,426.183(27) Å3, and Z = 4 at 298 K. The crystal structure consists of layers of anisomycin molecules parallel to the ab-plane. The molecules form zig-zag chains of N–H···O and O–H···N hydrogen bonds along the a-axis. The powder pattern has been submitted to the International Centre for Diffraction Data for inclusion in the Powder Diffraction File™ (PDF®).
Phenelzine sulfate crystallizes in the space group P21/c (#14) with a = 20.7418(15), b = 5.51507(5), c = 20.6038(11) Å, β = 109.5490(25)°, V = 2,221.06(9) Å3, and Z = 8 (Ẓ̣′ = 2) at 298 K. The crystal structure consists of supramolecular double layers of cations and anions parallel to the bc-plane. The inner portion of the layers consists of the charged parts of the cations and the anions, whereas the outer surfaces consist of phenyl rings, with van der Waals interactions between the layers. The sulfate anions stack along the c-axis. Each N–H acts as a donor to at least one sulfate O atom, and each O atom acts as an acceptor in at least one N–H···O hydrogen bond. The powder pattern has been submitted to the International Centre for Diffraction Data for inclusion in the Powder Diffraction File™ (PDF®).