# What is the equipotential line in flow mechanics

## Current in groundwater II - potential currents

### Current in the groundwater

Flow in Matthias Willmann's flow laws Flow equation boundary conditions http://www.ifu.ethz.ch/gwh/education/graduate/1 HS 2015 1 / Flow in the 1 map Isohypsen: lines of the same piezometer height http://www.sg.ch/

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### Potential theory. Preliminary remark:

Potential theory Preliminary remark: The detection of dynamic forces that are generated by water or air currents on structures is generally difficult. A really exact determination is not possible.

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### Sample solution. exercise 2

Task 2 For reasons of water management, the large-scale underground flow in the area of ​​a dammed river is to be examined in more detail. There is a tense one in the study area

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### Potential flow and Magnus effect

Potential flow and Magnus effect (summarized and supplemented by W Albring, Applied Fluid Mechanics, Verlag Theodor Steinkopff, Dresden, 3rd edition 1966) Prerequisites Friction and

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### Mechanical effect of water in the soil

Mechanical effect of water in the soil Prof. Dr.-Ing. Conrad Boley Geotechnics I Lecture 4, 23.10.2017 -2- Contents 1. Introduction 2. Water pressure 3. Basics of groundwater flow 4. Flow in the continuum

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### Continuity equation and Bernoulli equation

Continuity equation and Bernoulli equation Continuity equation: Streamline flow tube C m & const incomressible (density-determined) fluids m & V & (mass flow) V & m & (volume flow) Bs.: Through a pipe

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### 2. Potential currents

2. Potential currents When air flows around slender bodies, friction is often only significant in a thin layer around the body. Reminder: Flow around a two-dimensional airfoil: 1

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### 2 Function theory in the area

2 Function theory in the domain The functions we are considering always live in a domain G (that is an open, coherent subset) of the complex plane or the Riemann number sphere C.

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### Hydraulics for civil engineers

Hydraulics for civil engineers Fundamentals and applications by Robert Freimann 1st edition Hydraulics for civil engineers Freimann available quickly and postage free at beck-shop.de DIE FACHBUCHHANDLUNG Hanser

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### Modeling in Applied Geology

Modeling in Applied Geology Geohydromodeling Institute for Geosciences Christian-Albrechts-Universität zu Kiel 3-1 Content today Content Lecture 1) General balance equations 3-2

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### Technical University Berlin

Technische Universität Berlin 1st exam fluid mechanics technology and examples on Friday, February 23, 2018 3:00 p.m. to 5:00 p.m. Room H 0104, HE 101 Faculty V Transport and Machine Systems ISTA Institute for Fluid Mechanics

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### Exam duration: 2 hours

Faculty for Process and Systems Engineering Institute for Fluid Mechanics and Hermodynamics Subject: Fluid Mechanics II Surname First name Matriculation no. Course of study Seminargrue Year of enrollment Number

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### Examples of groundwater

Task 1: The groundwater level is 1 m below the reference level (OKT) and the saturated fine-grained soil has a density of γ g = 21 kn / m³. OCT h1 = 1 m 1) How big is the pressure height, the piezometer height

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### Examination fluid dynamics

...... (name, matric. No., Signature) Examination fluid dynamics March 10, 2005 1st task (6 points) A hot air balloon with an ideally flaccid shell has an air volume of V 0. When it takes off, it is released into the atmosphere

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### Transport in groundwater

Transport in groundwater Matthias Willmann, Joaquin Jimenez-Martinez, Wolfgang Kinzelbach HS 2016 Groundwater I / Transport in groundwater 1 Motivation With groundwater, dissolved substances are also transported

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### 1. Eddy currents 1.2 Biot-Savart's law

1. Eddy currents 1.2 Biot-Savart's law The Biot-Savart law is formulated for unrestricted areas. How can borders be described (e.g. solid walls)? Boundary condition for a frictionless

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### 5 harmonic functions

5 Harmonic functions In general, the general solution of the electrostatic and-value problem can also be expressed as the sum of a special solution to Poisson's equation and a solution to Laplace's equation

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### Self-control questions fluid mechanics 2

Self-control questions fluid mechanics 2 1 Eddy currents 1.1 Definitions and basic terms 1. How can a vortex be defined? a. Rotational movement of fluid elements around a common center. b.

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### 1 Electric field line images

1 Electric field line images Field lines in the vicinity of an electric monopole (point charge) Field lines of an electric dipole made up of two point charges of equal strength

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### Axis and point symmetrical figures

Axial symmetry The point P and its image point P are symmetrical with respect to the axis s if their connecting line [PP] is perpendicular to the axis a and is bisected by it. ... stretch symmetrically to each other

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### Linear function. Wolfgang Kippels March 21, 2011

Linear function of Wolfgang Kippels. March 0 Table of contents Fundamental relationships. Structure of the linear function ......................... Zero point determination .................... ......... Point of intersection determination ............................

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### Electricity and Magnetism

Electricity and Magnetism Othmar Marti 29. 05. 2008 Institute for Experimental Physics Physics, Economic Physics and Teaching Degree in Physics Page 2 Physics Classical and Relativistic Mechanics 29. 05.

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### Lecture winter 2009/2010 elementary geometry

Lecture Winter 2009/2010 Elementary Geometry 1 Homotheties Let Z E be a point on the plane. Let λ 0 be a real number. The central homothety with the center Z and the stretching factor λ is as follows

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### Experiment 6 electrophoresis

Experiment 6 Electrophoresis Till Biskup Matriculation number: 55567 May 2nd, 2000 Introduction The aim of the experiment is to investigate the connections between the electristatic structure on cell surfaces and its electrokinetic

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### Coaxial conductor E field strength, H field strength

Coaxial conductor E-field strength, H-field strength blog.zahlenpresse.de April 4th 3 R 3 Figure: cross-section of the coaxial conductor For all calculations in this document, a coaxial conductor of the following construction is required

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### 5 level potential problems

5 level potential problems Objective: Solving level potential problems with conformal mappings. 5.1 Conformal transformation of potentials Initial situation: Let f: G G analytical and bijective, for areas

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### Electrolytic trough

Technical University of Dresden Department of Physics Physics internship Dr. L. Jahn 3/94 Experiment: ET edited 03/2004 Electrolytic trough Contents 1 Task 2 2 General principles

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### Continuous systems and discrete systems

Continuous systems and discrete systems home / lehre / vl-mhs-1 / inhalt / folien / vorlesung / 1_disk_kont_sys / deckblatt.tex page 1 of 24. p.1 / 24 Table of contents Basic terms in engineering

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### Curvilinear coordinates

Curvilinear coordinates We have already got to know some coordinate systems in R 3: x, x 2, x 3 ... Cartesian coordinates r, φ, x 3 ... cylindrical coordinates r, φ, ϑ ... spherical coordinates are others

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### Vectors, tensors, operators Tensors Rank 0 Scalar p, ρ, t, ... Rank 1 Vector F, v, I, ... Stress tensor

Vectors, tensors, operators tensors rank 0 scalar p, ρ, t, ... rank 1 vector F, v, I, ... rank 2 dyad} {{} σ, τ, ... stress tensor differential operators Nabla- / x operator / y in Cartesian / coordinates

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### Soil mechanics and foundation engineering

Exercise Sheets Soil Mechanics and Foundation Engineering Exercise Geotechnics I 018 Prof. Dr.-Ing. Conrad Boley Naming & Classification of Soil Geotechnics I Exercise 1 Geotechnics I Exercise 1: Naming & Classification

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### Algebra 4.

Algebra 4 www.schulmathe.npage.de Exercises In a Cartesian (coordinate system) the points A (), B (), C (5), D (4 0) and S are given. a) Points A, B and C lie in a plane E. Places

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### Driving with square wheels

Ride on square wheels For those who enjoy playing games and those interested in mathematics Ride on square wheels: That sounds very improbable, but it is possible. Admittedly, the idea is a bit strange

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### Solutions to the 7th grade problems

Solutions to the tasks 7th grade Note: Unit for all geometry tasks: 1 box length 1 cm 1. Axis and point symmetry Axis reflection: Point reflection: 1 solutions to the tasks 7th grade

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### Sample solution series 12

Prof. D. Salamon Analysis II MATH, PHYS, CHAB FS 05 sample solution series. As in the problem M R n, let it be a C -submanifold and B M a compact subset. Furthermore we assume

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### Asynchronous machine: Heylandkreis for

Exercise 1: Asynchronous machine: Heyland circle for R 1 = 0Ω The starting point for the construction of the Heyland circle in exercise 1.1 is the nominal current with its phase position. Figure 1: Nominal current As the power factor

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### Examination technical fluid dynamics

Examination Technical Fluid Mechanics February 27, 2001 Task 1 (12 points) An allon for orbiting the earth consists of a two-part allon shell and is supposed to carry a payload of mass m. Located in the allon envelope

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### Examination Fluid Mechanics II

...... (Name, Matric. No., Signature) Exam Fluid Mechanics II 16. 08. 018 1. Exercise (14 points) The equilibrium of forces in a developed, laminar pipe flow under the influence of gravity becomes

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### Congruence, rectangles and prisms

Congruence, quadrangles and prisms Congruent figures Objectives: Concept: Congruence, congruence sentences for triangles Describe step sequences for constructions, congruent sub-figures decide on uniqueness

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### Construction of circular tangents

Construction of circular tangents 1 The points A and B are given with AB = 5cm. Construct the straight lines through B, which are 3cm apart from A! 2 A corner of a lawn with the straight edges

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### Introduction to fluid mechanics

Introduction to Fluid Mechanics Rolf Radespiel Fluid Properties Fundamental Principles and Equations Profiles Wind Tunnel and Pressure Measurements BRAUNSCHWEIG, JUNE 5, 2002 What is fluid mechanics?

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### Curve integral, tangents

Showcase exercises: HS10 exercise 2 WS05 / 06 exercise 1a + b HS11 exercise 2: if there is time at the end of course block 1, otherwise as homework. Recommended processing sequence: HS09 task 1 HS08 task 3 HS12

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### Extract from: Mechanics of the Continua

Excerpt from: Mechanics of the Continua J. L. van Hemmen A lecture script prepared by C. Reisinger and J.-M. P. Franosch J. L. van Hemmen 2006 Chapter 1 Complex Velocity Fields 1.1 Introduction

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