Development of Perturbation Procedures for Nonlinear Inviscid and Viscous Flows


Book Description

Certain topics on transonic flow theory and on numerical truncation errors have been investigated. In transonic flow theory the extension of the transonic perturbation method to include flows where shock waves vanish and the development of the technique to treat separated flows was undertaken with satisfactory results. Two other topics that were investigated concerned the application of perturbation theory to accelerate convergence of numerical solutions to predict potential flow. Finally, for transonic flow, the development of a 'potential-like' theory to more closely approximate the Euler equations was undertaken. A non-linear truncation error analysis was performed on certain Euler equation algorithms to develop corrections for the solution. An outcome of this work was the derivation of a criteria for use in adaptive mesh techniques. (Author).




Unsteady Transonic Flow


Book Description










Masters Theses in the Pure and Applied Sciences


Book Description

Masters Theses in the Pure and Applied Sciences was first conceived, published, and dis· seminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS) *at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the ac· tivity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all concerned if the printing and distribution of the volume were handled by an international publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Corporation of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 20 (thesis year 1975) a total of 10,374 theses titles from 28 Canadian and 239 United States universities. We are sure that this broader base for theses titles reported will greatly enhance the value of this important annual reference work. The organization of Volume 20 is identical to that of past years. It consists of theses titles arranged by discipline and by university within each discipline.







On the Matching of Solutions for Unsteady Transonic Nozzle Flows


Book Description

Many solutions have been presented for two dimensional transonic nozzle flows, with several different methods being represented. Two of the more interesting of these solutions are those presented by Tomotika and Tamada (1950) and Szaniawski (1965). However, it has not been made clear under what conditions either solution is valid. It is the purpose of the paper using the methods of matched asymptotic expansions, to derive the Szaniawski power series systematically and to show that this solution should be considered as an outer solution which may not be uniformly valid as the throat is approached. The inner throat region is governed by the nonlinear transonic equations which admit as one class of solutions, similarity solutions. The analysis is performed using the general non-steady inviscid equations of motion, with the steady flow results being derivable as a special case. (Modified author abstract).







Multiprobe Pressure Testing and Reservoir Characterization


Book Description

Multiprobe Pressure Testing and Reservoir Characterization: Pressure Transient, Contamination, Liquid and Gas Pumping Analysis provides much-needed three-dimensional pressure transient simulators for job planning and data interpretation in well logging. First, discussions on fundamental concepts present fluid sampling, pressure transient and contamination analysis; physical concepts and numerical approaches; and multiprobe model formulations and validations. Other sections cover four-probe algorithms, including conventional, overbalanced, and underbalanced drilling applications. The final section addresses triple-probe algorithms, which includes coupled models for pressure and contamination convergence acceleration. Notably, Chapter 10 explains how the multiprobe tool’s focus on characterizing permeability will promote better use of the reservoir as well as assist with energy storage in underground rock, demonstrating how multiprobe tools also facilitate the energy transition from fossil fuels to sustainable geothermal energy. The book's mathematical methods are described in a straightforward manner with numerous example calculations and applications demonstrating the practical utility of the approaches. This book is an invaluable reference for petroleum geologists and engineers involved in geothermal and conventional reservoir characterization and simulation. Reviews present day needs, tool operations, and analysis methods, along with numerous practical examples and applications Develops a suite of mathematical models, algorithms, and software from first principles Explains, in detail, how multiprobe pressure logging is superior to using conventional sensors because direct, accurate reservoir characteristics support energy-efficient geothermal designs Provides an alternative look at the investigation of unconventional reservoirs, not only in terms of hydrocarbon production but also with carbon and energy storage in mind