Physical Sciences and Mathematics Commons^™

Subcritical Flow Over Various Weir Shapes, M. Leon Hyatt, Gaylord V. Skogerboe, Lloyd H. Austin

Reports

Submerged flow exists for any given structure when a change in flow depth downstream from the structure causes a change in flow depth upstream from the structure for any given constant value of discharge. The two flow depths, normally measured when submerged flow exists, consist of a depth upstream from the structure, which is used also for free flow conditions, and a depth of flow located any place downstream from the structure. The initial studies in which the submerged flow analysis was developed were made on flat-bottomed flumes (Hyatt, 1965; and Skogerboe, Walker, and Robinson, 1965). Later studies verified the …

Evaluation Of Free And Submerged Flow Data For Large Parshall Flumes, M. Leon Hyatt, Gaylord V. Skogerboe

Reports

Because the accurate measurement of water plays such an important part in water management, such structures as weirs, orifices, calibrated gates f and flumes have been developed. These structures provide the means for reasonable measurement of the smaller flows (1: .. 100 cfs), but for the large flows (100-3,000 cfs) the current meter, large Parshall flume, and various other flumes are commonly used. Where a permanent structure is required, the most widely accepted and utilized method for measurement of large flows is probably the Parshall flume. The purpose of this report has been to collect the existing flow data for …

Application Of Electronic Analog Computer To Solution Of Hydrologic And River Basin Planning Problems: Utah Simulation Model Ii, J. Paul Riley, Duane G. Chadwick, Jay M. Bagley

Reports

As demands upon available water supplies increase, there is an accompanying increase in the need to assess the downstream hydrologic system. At Utah State University this problem is being approached by electronic analog simulation of the hydrologic system. Modeling concepts are based upon the development of basic relationships which describe the various hydrologic processes. Within a system, these relationships are linked by the continuity -of-mass principle which requires a hydrologic balance at all points. Once established, the model is applied to any particular geographic unit by determining the appropriate constants of the hydrologic equations. The analog computer is ideally suited …

Estimating Evaporation And Evapotranspiration From Climatic Data, Jerald Emmet Christiansen

Reports

No abstract provided.

Mathematical Hydraulics Of Surface Irrigation, Cheng-Lung Chen

Reports

The general hydrodynamic equations for a spatially varied unsteady flow in a prismatic open channel having an arbitrary cross-sectional shape can be derived from the equations of continuity and momentum. The assumptions based on the general concept of hydrodynamics and the theory of shallow water is introduced. The mathematical models in the surface irrigation can be formulated by these equations of motion with the appropriate initial and boundary conditions prescribed at the singularity point (the origin in the x, t-plane) and at x = 0. Therefore, the flow in the surface irrigation must be described by solving the boundary-value problem …

Proceedings Of A Summer Institute In Water Resources: Volume 1 - Philosophical, Institutional, And Legal Aspects Of Water Resources, Cleve H. Milligan, Charles E. Corker, Wayne D. Criddle

Reports

Foreward: Recognizing the need for training of individuals to meet the rapidly rising problems connected with water resources development, Utah State University, with National Science Foundation support, organized a Summer Institute in Water Resources for college teachers. it was hoped that participants carefully selected from all regions of the country would receive additional insight and stimulation to improve and enlarge water resources training programs at their own institutions. Thus, the accelerated dissemination of such knowledge on a national scale could be facilitated. Realizing further that the key to a successful institute of this nature lay in the excellence of its …

Hydrologic Instrumentation And Telemetering, Duane G. Chadwick

Reports

The following report discusses the various phases of work carried out by the Utah State University under a cooperative agreement contract with the Soil Conservation Service for the period extending from June 1965 to June1966.

The body of the report discusses instrumentation techniques employed for the remote telemetering of total precipitation and water content of snow. Discussion of performance of a new type pressure pillow is also given for measuring the water content of snow. Data taken during system evaluation is presented in the Appendix.

Central Utah Project Ultimate Phase: Inventory Of Available Data, Bureau Of Reclamation

Elusive Documents

The plan for the Central Utah project involves a diversion of water from streams in the Uinta Basin in the Upper Colorado River Basin to the closed Bonneville Basin in Central Utah and other associated water resource developments in both basins. Construction of the initial phase of the project was authorized by the Colorado River Storage Project Act of April 11, 1956 (70 Stat. 105).

The ultimate phase will expand on the initial phase development. Its purpose will be to increase the transbasin diversion to the Bonneville Basin and to provide water for replacement and additional use in the Uinta …

Evaluation Of Chemical Composition And Particle Size Gradation Of Evaporation-Reducing, Monolayer-Forming Materials, Vaughn E. Hansen, Gaylord V. Skogerboe

Reports

Initial field testing began shortly after the arrival of materials in August, 1964. The field experiments were designed to evaluate the effects of the long-chain alcohol C20 and particle size gradation on the effectiveness of evaporation retardants when applied by aerial techniques. The materials which were tested at Utah Lake are listed below.

Bear River Project First Phase Idaho And Utah (Appendix E), United States Department Of The Interior, Bureau Of Reclamation

Elusive Documents

The following report presents estimates of the value of irrigation and of the ability of water users to pay for irrigation water supplied from the development of the Bear River project. A general description of the existing agricultural economy and projections as to future economic conditions with development of the project are also presented in this study. The economic analysis of the Bear River project has been accomplished in accordance with Reclamation Instructions and directives concerning the preparation of feasibility reports. Irrigation payment capacity by the water users, expressed in dollars and cents, was accomplished through the farm budget method …

Bear River Project First Phase Idaho And Utah (Appendix B), United States Department Of The Interior, Bureau Of Reclamation

Elusive Documents

By means of storage reservoirs, distribution works, and water exchanges, the Bear River project, first phase, would increase the usable water supply of Bear River below Bear Lake and its Cache Valley tributaries, Cub River and Mink Creek, for irrigation, municipal and industrial uses, and fish and wildlife propagation. Project reservoirs would also provide recreation and flood control benefits. The jroject would have main stem and East Cache segments.

Bear River Project First Phase Idaho And Utah (Appendix C), United States Department Of The Interior, Bureau Of Reclamation

Elusive Documents

The project lands of the Bear River project (first phase) have been classified with respect to their suitability for sustained crop production under irrigation development. This appendix to the feasibility report is a presentation of the investigations and results of these land classification studies.

The land classification surveys were conducted for the purpose of locating and delineating by proper land class and subclass the areas of arable land which could be served under the proposed project facilities. To accomplish this objective, all lands were given a thorough examination. including intensive field and laboratory tests. Following the final selection of the …

Bear River Project First Phase Idaho And Utah (Appendix A), United States Department Of The Interior, Bureau Of Reclamation

Elusive Documents

By means of storage reservoirs, distribution works, and water exchanges, the Bear River project, first phase, would increase the usable water supply of Bear River below Bear Lake and its Cache Valley tributaries, Cub River, Mink Creek, for irrigation, municipal and industrial uses, and fish and wildlife propagation. Project reservoirs would also provide recreation and flood control benefits. The Project would have main stem and East Cache segments.

Graphical Solutions To Frequently Encountered Fluid Flow Problems, Roland W. Jeppson

Reports

Introduction

Graphical methods are often used by engineers to solve frequently used or complex formulas which require trial and error solutions. Perhaps the best known graphical tool used by the engineer is the slide rule, but anyone familiar with its use will recognize its limitations both in time and accuracy. For many problems which involve many repetitive computations high speed digital or analog computers are the most effective tools for solution. There are, however, many problems requiring considerable engineering time for slide rule solutions where solutions are not justifiable on computers. The use of nomograms for such problems is desirable. …

Boolean Space, Tzeng-Hsiang Sun

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

M. H. A. Stone showed in 1937 and subsequently that many interesting and important results of general topology involve latices and Boolean rings. This type of result forms the substance of this thesis.

Theorem 4, page 11, states that for any r ≠ 0 in a Boolean ring, there exists a homomorphism h into I₂ , (the field of integers modulo 2), such that h(r) = 1.

Theorem 3, page 6, states that any subring of a characteristic ring of a Boolean space X is the whole ring if it has the two points property (that is, given x, …

Barypact Topological Spaces, Bradley Y. Maughan

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Recently, Kimber [3] has discovered a general class of topological spaces, the members of which are termed barypact spaces, that includes the compact topological spaces. This class is distinct from the set of all compact topological spaces, but its members possess many of the useful properties associates with compactness. As a consequence, several standard compactness theorems become special cases of corresponding theorems in a more general setting and the techniques of proof applied to these extensions provide new, and sometimes remarkably simple, proofs of the very theorems they generalize. The purpose of this paper is to extend to this …

Formulation Of Error Structures Under Non-Orthogonal Situations, Justus Frandsen Seely

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

To gain an appreciation or understanding for the title of this study we must first understand what the phrases "non-orthogonal" and "error structure" mean. With an understanding of these terms the title of this study will become clear.

To obtain an understanding of the term non-orthogonal, consider an experiment where differing treatments are applied to groups of experi­mental units in order to observe the differential treatment responses. If an equal number of experimental units are in each group, then we say we have an orthogonal situation. This means that when equal numbers exist among the experimental units, that the variability …

Fredholm Solution Of Linear Integral Equations, Dewey F. Furness

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

An integral equation of the form

ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b

is called a Fredholm equation. By the method of successive approximations a solution can be obtained if the parameter λ is sufficiently small. If the kernel, K (x, s), is degenerate then a solution can be obtained by reducing it to a system of linear algebraic equations. In the general case the kernel is represented as an infinite Fourier Series. With this representation the solution is obtained by combining the two methods mentioned. The solution is the solution of two …

Axiomatic Set Theory, Ronald P. Smit

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

An analysis of the well known paradoxes found in intuitive set theory has led to the reconstruction of set theory by axiomatic means. This exposition is devoted to Zermelo-Fraenkel set theory with some changes made by Suppes.

The first order predicate calculus is presupposed. In addition to the usual quantifiers admitted, a unique existential quantifier is used. The primitive notions of the set theory are the empty set and the two place membership predicate.

Error Structure Of Randomized Design Under Background Correlation With A Missing Value, Tseng-Chi Chang

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The analysis of variance technique is probably the most popular statistical technique used for testing hypotheses and estimating parameters. Eisenhart (12) presents two classes of problems solvable by the analysis of variance and the assumption underlying each class. Cochran (9) lists the assumptions and also discusses the consequences when these assumptions are not met. It is evident that if all the assumptions are not satisfied, the confidence placed in any result obtained in this manner is adversly affected to varying degrees according to the extent of the violation.

Spectral Analysis Of Time-Series Associated With Control Systems, Karl Leland Smith

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The progress of science is based to a large degree on experimentation. The scientist, engineer, or researcher is usually interested in the results of a single experiment only to the extent that he hopes to generalize the results to a class of similar experiments associated with an underlying phenomenon. The process by which this is done is called inductive inference and is always subject to uncertainty. The science of statistical inference can be used to make inductive inferences for which the degree of uncertainty can be measure in terms of probability. A second type of inference called deductive inference is …

Geology Of The Monte Cristo Area, Bear River Range, Utah, Robert B. Smith

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The Monte Cristo area is a 7 1/2-minute quadrangle located in the southeastern. part of the Bear River Range, northern Utah. It is within the Middle Rocky Mountain province and is 10 miles east of the Basin and Range province. Previous to this investigation little was known about the detailed geology of the area except for a reconnaissance study and general geologic map of the Cache County part included in the Geologic Atlas of Utah, Cache County, published by Williams (1958).

The purposes of this investigation were as follows: (1) to determine the formations present in the area and their …

Paleozic Stratigraphy Of The James Peak Quadrangle, Utah, Harley D. King

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

General Statement

The James Peak quadrangle is a topographic map unit of the Geological Survey of the U. S. Department of Interior (Plate 1). It covers 7 1/2 minutes of latitude and longitude at a scale of 1:24, 000 or 1 inch to 2, 000 feet. It is bounded by lat 41°22'30" N. and lat 41°30' N. and long 111°45' W. and long 111 °52 '30" W The quadrangle includes 56 square miles and has maximum relief of about 4, 300 feet.

The James Peak quadrangle is located in northern Utah between the Wasatch Range on the west and the …

Thermochemistry Of Cyclophanes, Chyi-Feng Shieh

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The syntheses and properties of various cyclophanes have been extensively investigated by Cram and others. The paracyclophanes are compounds in which benzene rings are linked to each other by two saturated chains at the para positions, as in structure I. When they are joined to the meta positions, they are called metacyclophanes.

The Kinetics And Mechanism Of The Reaction Of Molybdenum(V) With Iodine, Oxygen And Nitrate, Ervin Park Guymon

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Molybdenum compounds present a series of baffling chemical puzzles. By no means are all of these yet even clearly defined and many may never be. This complexity results from the ability of molybdenum to form six different oxidation states, which can possess three different coordination numbers. Furthermore, molybdenum compounds readily disproportionate to yield mixed valence compounds; and finally, molybdate ions readily aggregate in solution to form a variety of polyions by polymerization-condensation reactions which are controlled by pH and the concentration of the system. Molybdenum's complexity can best be summed up in the words of the late Edgar Smith who …

Decision Problems, Lowell Anderson

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

From an intuitive point of view the notion of effective procedure consists of a set of rules or instructions that enables one, in a finite number of steps and in a purely mechanical way, to answer yes or no to any one of a given class of questions. This procedure requires no intelligence to carry out the instructions and, in fact, it is con­ceivable that some mechanical contrivance may be constructed to carry out these instructions. Should such an effective procedure exist, that answers either yes or no, then the group of problems in question is said to be effectively …

Laplace, Finite Fourier Sine And Cosine, Transformations, Jan Eugene Wynn

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The Laplace and finite Fourier sine transforms can be used to solve certain boundary value problems. Also the Laplace transform is a useful took in solving some integral and integrodifferential equations. This report is composed of transform solutions of seventeen such applied problems, while the author's first report is focused towards the theoretical aspect of these transforms.

Several different types of problems are solved in this report. Among these are Bessel's classical differential equation of index n, two electrical circuit problems, a beam problem, a vibrating string problem, a heat flow problem, and a temperature gradient problem.

One of the …

Effect Of Calcium Availability On Alfalfa Grown In Calcareous High Sodium Soils, Harry Irving Nightingale

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In soil science we shall always be confronted with reactions in soils that involve Ca. Early recognition of this led to experimentation in this area. Due to the fact that Ca deficiency is most common in acid soils, the majority of the experimentation has in the past been largely confined to acid soils and their soil-Ca-plant relationships. There has been relatively little research done with Ca and its availability problems associated with alkaline or sodic soils.

National Forest Recreation In Utah, U.S. Department Of Agriculture: Forest Service

Elusive Documents

No abstract provided.

Bear River Project First Phase Idaho And Utah (Appendix D), United States Department Of The Interior, Bureau Of Reclamation

Elusive Documents

By means of storage reservoirs, distribution works, and water exchanges, the Bear River project, first phase, would increase the usable water supply of Bear River below Bear Lake and its Cache Valley tributaries, Cub River and Mink Creek, for irrigation, municipal and industrial uses, and fish and wildlife propagation. Project reservoirs would also provide recreation and flood control benefits. The project would have main stem and East Cache segments.