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10 Pages

### Ch_4

Course: EVEN 6318, Fall 2008
School: TAMU Kingsville
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Word Count: 3168

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QUANTITIES +D=FJAH &quot; FUNDAMENTAL FOR BUILDING MATHEMATICAL MODELS-CONCENTRATION Chapter Goals Understand the concepts of extensive and intensive properties Understand various ways of expressing the concentration of a chemical INTRODUCTION In the last few chapter we have learnt the utility of developing fate and transport models and categorized different approaches to build them. It was seen that...

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TAMU Kingsville - EVEN - 6318
+D=FJAH#FUNDAMENTAL QUANTITIES FOR BUILDING MATHEMATICAL MODELS RATE MEASURESChapter Goals Understand the meaning of loading and flux Understand different rate measures for extensive and intensive propertiesINTRODUCTIONMost environmental
TAMU Kingsville - EVEN - 6318
Runge Kutta Methods for First-Order ODEs1. Runge-Kutta methods are the most popular method for solving first-order ODEs. 2. Both linear and nonlinear ODEs can be solved using this approach. 3. A variety of Runge Kutta (RK) methods are available. Ho
TAMU Kingsville - EVEN - 6318
46 Applied Environmental Systems Modeling+D=FJAH\$FUNDAMENTAL TRANSPORT PROCESSESChapter Goals Define advection, dispersion, molecular and turbulent diffusion Calculations for advective loading and flux Ficks law and calculation of diffusive
TAMU Kingsville - EVEN - 6318
#Chapter Goals+D=FJAHOPTIMIZATION METHODS FOR SOLVING LINEAR AND NON-LINEAR EQUATIONS Explore certain environmental applications where systems of non-linear equations arise Use MS-EXCELs SOLVER functionality to solve systems of linear and non
TAMU Kingsville - EVEN - 6318
Analytical Methods for First-Order Ordinary Differential Equations199\$ANALYTICAL METHODS FOR FIRSTORDER ORDINARY DIFFERENTIAL EQUATIONS+D=FJAHChapter Goals Explore certain environmental applications where ordinary differential equations (OD
TAMU Kingsville - EVEN - 6318
Mathematical Models for Environmental Systems17+D=FJAH!MATHEMATICAL MODELS FOR ENVIRONMENTAL SYSTEMSChapter Goals Role of mathematical models in the analysis of environmental systems Different approaches for building mathematical models
TAMU Kingsville - EVEN - 6318
+D=FJAHENVIRONMENTAL SYSTEMSChapter Goals Understand the concept of a system Learn how geographic entities can be visualized as systems Learn about compartment and phases the sub-divisions of a systemINTRODUCTIONAn important step in develo
TAMU Kingsville - EVEN - 6318
94 Applied Environmental Systems ModelingREACTORS AND MASS BALANCE EXPRESSIONSChapter Goals+D=FJAH Understand how environmental systems can be viewed as reactors Incorporate the loadings from different processes into the mass balance equatio
TAMU Kingsville - EVEN - 6318
56 Applied Environmental Systems Modeling+D=FJAH%ABIOTICANDBIOTIC REACTIONSChapter Goals Understand kinetic and equilibrium approaches to model reactions Compute mass loading terms associated with reactionsINTRODUCTIONIn addition to a
TAMU Kingsville - EVEN - 6318
!IMPLEMENTING ROOT-FINDING MS-EXCELINChapter Goals Learn about implementing root finding methods in MS-EXCEL Learn about GOAL SEEK function in MS-EXCEL+D=FJAHINTRODUCTIONIn the last chapter we studied how to set up mathematical equations in
TAMU Kingsville - EVEN - 6318
Interphase Mass-transfer-Equilibrium Partitioning81+D=FJAH'INTERPHASE MASS-TRANSFER EQUILIBRIUM PARTITIONINGChapter Goals The concept of thermodynamic equilibrium Common equilibrium partitioning relationshipsINTRODUCTIONIn the last ch
TAMU Kingsville - EVEN - 6318
Chapter Goals+D=FJAHMASS-BALANCE EQUATIONS OTHER SALIENT CONCEPTS Learn about steady-state and transient models Simplifications of mass-balance expressions Understanding the importance of various processes using dimensionless groupsINTROD
TAMU Kingsville - EVEN - 6318
2)46*MATHEMATICAL AND NUMERICAL TECHNIQUESCOMPUTING TOOLS FOR MODEL DEVELOPMENTChapter Goals+D=FJAH Learn about various computing tools for building environmental models Evaluate the use of spreadsheets for model development Explore bas
TAMU Kingsville - EVEN - 6318
162 Applied Environmental Systems Modeling&quot;MATRICESAND+D=FJAHEQUATIONSLINEAR SYSTEMOFChapter Goals How to perform matrix operations in MS-EXCEL Solving system of linear equations in MS-EXCELINTRODUCTIONIn the last chapter we saw ho
TAMU Kingsville - EVEN - 6318
218 Applied Environmental Systems Modeling%NUMERICAL METHODS FOR SOLVING FIRST-ORDER ODESChapter Goals Explore certain numerical methods for solving first-order ODEs Implement Euler and Runge-Kutta methods using MS-EXCEL+D=FJAHINTRODUCTION
TAMU Kingsville - EVEN - 6318
70 Applied Environmental Systems Modeling+D=FJAH&amp;INTERPHASE MASS-TRANSFER KINETIC THEORIESChapter Goals Learn about interphase mass-transfer Single-resistance and two-film theories of mass-transferINTRODUCTIONMany contaminants can exist
TAMU Kingsville - G - 4425
Lecture Outline Geographic Information SystemLecture 1Introduction to GISDefinition of GIS Four component of system Three view of GIS Major characteristics Software packages GIS applicationsWhat is GIS?GIS: a particular form of information syst
TAMU Kingsville - G - 3450
Grid Cell/Square based Raster ModelRowsField Mapping, Cartography and Global PositioningLecture 6. Terrain ModelingGrid extentGrid cellResolutionRaster resolution Measured by cell size Storage space increases dramatically with precisio
TAMU Kingsville - G - 4425
Tessellation of Geographical SpaceGeographic Information System Lecture 6GIS Data Model: Raster Data StructuresGeographical space can be tessellated into sets of connected discrete units, which completely cover a flat surface. The units can be i
TAMU Kingsville - L - 5312
Tessellation of Geographical SpaceGeographic Information System Lecture 6GIS Data Model: Raster Data StructuresGeographical space can be tessellated into sets of connected discrete units, which completely cover a flat surface. The units can be i
TAMU Kingsville - L - 1302
Glaciers: a part of two basic cycles in the Earth systemEarth Science, 11eGlaciers, Deserts, and Wind Chapter 6Glaciers are a part of both the hydrologic cycle and rock cycle Glacier - a thick mass of ice that forms over land from the compaction
TAMU Kingsville - L - 1301
Volcanic eruptionsEarth Science, 11eVolcanoes and Other Igneous Activity Chapter 9Factors that determine the violence of an eruption Composition of the magma Temperature of the magma Dissolved gases in the magmaViscosity of magma Viscosity
TAMU Kingsville - L - 1301
Earth Science, 11eMinerals: Building Blocks of Rocks Chapter 2QuartzOlivineFluoriteBeryl (variety aquamarine) Realgar1Bornite and ChalcopyriteNative copperGold nuggetCut diamondMinerals: the building blocks of rocksDefinition of
TAMU Kingsville - L - 1302
The geologic time scaleEarth Science, 11eEarths History: A Brief Summary Chapter 12Precambrian era4.5 billion to 540 million years ago 88% of Earth's history Only sketchy knowledge Most Precambrian rocks are devoid of fossilsPrecambrian eraP
TAMU Kingsville - L - 1302
Early history of astronomyEarth Science, 11eOrigin of Modern Astronomy Chapter 21Ancient Greeks Used philosophical arguments to explain natural phenomena Also used some observational data Most ancient Greeks held a geocentric (Earth-centered)
TAMU Kingsville - L - 1302
Earth as a system: the hydrologic cycleEarth Science, 11eIllustrates the circulation of Earth's water supply Processes involved in the cycle Precipitation Evaporation Infiltration: water soaks into the ground Runoff: Surplus water flows over t
TAMU Kingsville - L - 5312
Find pathGeographic Information SystemsLecture 11. Network Analysis1Best way to school (Barrier)Distance2BarrierFind path with stopsAdvanced Path3Finding transportation network errorFinding loops Water network4Find connect
TAMU Kingsville - L - 1301
Composition of seawaterEarth Science, 11eOcean Water and Ocean Life Chapter 14Seawater consists of about 3.5% (by weight) dissolved minerals Salinity Total amount of solid material dissolved in water Typically expressed in parts-per-thousand (
TAMU Kingsville - L - 5312
Scanned ImageNew map in GIS database Define ProjectionGCP acquisition GPS, Aerial photo Accuracy Checking RMS errorProjection of GCP points Link table Geometric transformation ResamplingVector digitizationGeoreferenced Image!12#&amp; '
TAMU Kingsville - L - 1301
EarthquakesEarth Science, 11eEarthquakes and Earths Interior Chapter 7General features Vibration of Earth produced by the rapid release of energy Associated with movements along faults Explained by the plate tectonics theory Mechanism for ea
TAMU Kingsville - G - 3450
Why DGPS? Field Mapping, Cartography and Global PositioningLecture 9. Differential GPSReference from Trimble WebsiteWhy Differential GPS? For many applications Basic GPS is plenty accurate. Some crafty engineers came up with &quot;Differential GPS,&quot;