New Application Center Additions
http://www.maplesoft.com/applications
en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSun, 23 Jul 2017 14:44:11 GMTSun, 23 Jul 2017 14:44:11 GMTThe latest content added to the Application Centerhttp://www.mapleprimes.com/images/mapleapps.gifNew Application Center Additions
http://www.maplesoft.com/applications
Finite Excluded and Included Point Topologies with Maple
https://www.maplesoft.com/applications/view.aspx?SID=154223&ref=Feed
In this application we will compute new issues related to Finite Topological Spaces. The new procedures are: <BR>
<OL>
<LI>A procedure to generate Excluded point topology.
<LI>A procedure to Check if a given topology is Excluded point topology or not.
<LI>A procedure to find the number of proper open sets in a given excluded point topology.
<LI>A procedure to find all excluded point topologies over a given set.
<LI>A procedure to generate included point topology.
<LI>A procedure to check if a given topology is included point topology or not.
<LI>A procedure to find the number of proper open sets in a given included point topology.
<LI>A procedure to find all included point topologies over a given set.
</OL><img src="/applications/images/app_image_blank_lg.jpg" alt="Finite Excluded and Included Point Topologies with Maple" align="left"/>In this application we will compute new issues related to Finite Topological Spaces. The new procedures are: <BR>
<OL>
<LI>A procedure to generate Excluded point topology.
<LI>A procedure to Check if a given topology is Excluded point topology or not.
<LI>A procedure to find the number of proper open sets in a given excluded point topology.
<LI>A procedure to find all excluded point topologies over a given set.
<LI>A procedure to generate included point topology.
<LI>A procedure to check if a given topology is included point topology or not.
<LI>A procedure to find the number of proper open sets in a given included point topology.
<LI>A procedure to find all included point topologies over a given set.
</OL>154223Thu, 13 Jul 2017 04:00:00 ZTaha Guma el turkiTaha Guma el turkiRobot Arm Drawing a Maple Leaf
https://www.maplesoft.com/applications/view.aspx?SID=154276&ref=Feed
This application generates an animation of a 3 DOF robot arm drawing a Maple leaf.
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To model the arm, the worksheet symbolically derives the transformation matrix (via a Denavit & Hartenberg method) for each of the three joints
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The tip of the robot arm is requested to follow a parametric curve that traces out a Maple leaf. The joint angles to achieve this motion are calculated via the transformation matrices.<img src="/view.aspx?si=154276/MapleLeafRobotArm.png" alt="Robot Arm Drawing a Maple Leaf" align="left"/>This application generates an animation of a 3 DOF robot arm drawing a Maple leaf.
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To model the arm, the worksheet symbolically derives the transformation matrix (via a Denavit & Hartenberg method) for each of the three joints
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The tip of the robot arm is requested to follow a parametric curve that traces out a Maple leaf. The joint angles to achieve this motion are calculated via the transformation matrices.154276Tue, 11 Jul 2017 04:00:00 ZSamir KhanSamir KhanPropagation of Plane Gravitational Waves
https://www.maplesoft.com/applications/view.aspx?SID=154275&ref=Feed
Under the condition of weak fields, Einstein's field equation of general relativity can be linearized. The metric perturbation of the flat Minkowski spacetime satisfies the wave equation, and its solution is similar to the solution for electromagnetic waves. This worksheet demonstrates the similarity and difference between electromagnetic waves, which are vector fields, and gravitational waves, which are tensor fields.<img src="/view.aspx?si=154275/mode1.gif" alt="Propagation of Plane Gravitational Waves" align="left"/>Under the condition of weak fields, Einstein's field equation of general relativity can be linearized. The metric perturbation of the flat Minkowski spacetime satisfies the wave equation, and its solution is similar to the solution for electromagnetic waves. This worksheet demonstrates the similarity and difference between electromagnetic waves, which are vector fields, and gravitational waves, which are tensor fields.154275Sun, 09 Jul 2017 04:00:00 ZDr. Frank WangDr. Frank WangMomentum with two variable force
https://www.maplesoft.com/applications/view.aspx?SID=154273&ref=Feed
This app shows the calculation of the final velocity of a body after it made contact with a variable force taking as reference the initial velocity, mass and the graph of the variation of F as a function of time. Made with native maple syntax (use of promt) and embedded components.
In Spanish.<img src="/view.aspx?si=154273/cmimp.png" alt="Momentum with two variable force" align="left"/>This app shows the calculation of the final velocity of a body after it made contact with a variable force taking as reference the initial velocity, mass and the graph of the variation of F as a function of time. Made with native maple syntax (use of promt) and embedded components.
In Spanish.154273Tue, 04 Jul 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloClassroom Tips and Techniques: Green's Functions for Second-Order ODEs
https://www.maplesoft.com/applications/view.aspx?SID=4820&ref=Feed
<p>For second-order ODEs, we compute the Green's function for both initial and boundary value problems. For the boundary value problem, we consider mixed and unmixed boundary conditions, of both homogeneous and nonhomogeneous types. In every case, we compare our solutions to direct solutions using Maple's dsolve command.</p><img src="/view.aspx?si=4820/image.php.gif" alt="Classroom Tips and Techniques: Green's Functions for Second-Order ODEs" align="left"/><p>For second-order ODEs, we compute the Green's function for both initial and boundary value problems. For the boundary value problem, we consider mixed and unmixed boundary conditions, of both homogeneous and nonhomogeneous types. In every case, we compare our solutions to direct solutions using Maple's dsolve command.</p>4820Tue, 04 Jul 2017 04:00:00 ZDr. Robert LopezDr. Robert LopezLattice: A package to model accelerator lattices and beam lines
https://www.maplesoft.com/applications/view.aspx?SID=153970&ref=Feed
The Lattice package is a Maple package to design and analyze charged-particle beam lines and circular machines. It employs a beam-line description using the standard elements (dipoles, quadrupoles and so on) and retains the algebraic power of Maple. Beam-line elements are described using the equations governing the particle motion in algebraic form. In this way it is possible to compute expressions for beam-line parameters like Twiss functions, dispersion and such, for beam
lines or rings, and to perform analysis on these expressions using the full power of Maple.<img src="/view.aspx?si=153970/Lattice.png" alt="Lattice: A package to model accelerator lattices and beam lines" align="left"/>The Lattice package is a Maple package to design and analyze charged-particle beam lines and circular machines. It employs a beam-line description using the standard elements (dipoles, quadrupoles and so on) and retains the algebraic power of Maple. Beam-line elements are described using the equations governing the particle motion in algebraic form. In this way it is possible to compute expressions for beam-line parameters like Twiss functions, dispersion and such, for beam
lines or rings, and to perform analysis on these expressions using the full power of Maple.153970Fri, 30 Jun 2017 04:00:00 ZUli WienandsUli WienandsUsing the New Interactive Plot Builder
https://www.maplesoft.com/applications/view.aspx?SID=154272&ref=Feed
In Maple, Clickable Math covers a broad collection of features aimed at providing the user with easily discoverable, natural functionality for scientific and mathematical computing, without requiring an understanding of Maple syntax, commands, or the Maple programming language. In Maple 2017, a new Interactive Plot Builder joins this collection, providing an easy-to-use interface for creating and customizing a wide variety of 2-D and 3-D plots. In this Tips and Techniques, I will discuss some particular aspects of the new Plot Builder assistant, and how it fits into the Clickable Math framework.<img src="/view.aspx?si=154272/plotbuilder.png" alt="Using the New Interactive Plot Builder" align="left"/>In Maple, Clickable Math covers a broad collection of features aimed at providing the user with easily discoverable, natural functionality for scientific and mathematical computing, without requiring an understanding of Maple syntax, commands, or the Maple programming language. In Maple 2017, a new Interactive Plot Builder joins this collection, providing an easy-to-use interface for creating and customizing a wide variety of 2-D and 3-D plots. In this Tips and Techniques, I will discuss some particular aspects of the new Plot Builder assistant, and how it fits into the Clickable Math framework.154272Fri, 16 Jun 2017 04:00:00 ZDave LinderDave LinderKinematics using syntax
https://www.maplesoft.com/applications/view.aspx?SID=154271&ref=Feed
In this file you will be able to observe and analyze how the exercises and problems of Kinematics and Dynamics are solved using the commands and operators through a very well-structured syntax. Allowing me to save time and use it in interpretation. I hope you can share and spread to break the traditional and unnecessary myths. Only for Engineering and Science. Share if you like.
In Spanish.<img src="/view.aspx?si=154271/kinematicssint.png" alt="Kinematics using syntax" align="left"/>In this file you will be able to observe and analyze how the exercises and problems of Kinematics and Dynamics are solved using the commands and operators through a very well-structured syntax. Allowing me to save time and use it in interpretation. I hope you can share and spread to break the traditional and unnecessary myths. Only for Engineering and Science. Share if you like.
In Spanish.154271Wed, 14 Jun 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloPassword Protection in Maple
https://www.maplesoft.com/applications/view.aspx?SID=154270&ref=Feed
In Maple, worksheets can be password protected so the users of your Maple application can benefit from the specialized routines you've created while the details remain hidden. This Tips and Techniques shows you how to protect your Maple content from editing and viewing, while still allowing others to execute the code within and obtain results.<img src="/view.aspx?si=154270/password.PNG" alt="Password Protection in Maple" align="left"/>In Maple, worksheets can be password protected so the users of your Maple application can benefit from the specialized routines you've created while the details remain hidden. This Tips and Techniques shows you how to protect your Maple content from editing and viewing, while still allowing others to execute the code within and obtain results.154270Tue, 13 Jun 2017 04:00:00 ZGraham JacksonGraham JacksonKinematics Curvilinear
https://www.maplesoft.com/applications/view.aspx?SID=154269&ref=Feed
With this application you can calculate the components of the acceleration. The scalar and vector components of the tangent and the normal. In addition to curvilinear kinetics in polar coordinates. It can be used in different engineers, especially mechanical, civil and more.
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In Spanish.<img src="/view.aspx?si=154269/kc.png" alt="Kinematics Curvilinear" align="left"/>With this application you can calculate the components of the acceleration. The scalar and vector components of the tangent and the normal. In addition to curvilinear kinetics in polar coordinates. It can be used in different engineers, especially mechanical, civil and more.
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In Spanish.154269Sat, 03 Jun 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloMathematics for Chemistry
https://www.maplesoft.com/applications/view.aspx?SID=154267&ref=Feed
This interactive electronic textbook in the form of Maple worksheets comprises two parts.
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Part I, mathematics for chemistry, is supposed to cover all mathematics that an instructor of chemistry might hope and expect that his students would learn, understand and be able to apply as a result of sufficient courses typically, but not exclusively, presented in departments of mathematics. Its nine chapters include (0) a summary and illustration of useful Maple commands, (1) arithmetic, algebra and elementary functions, (2) plotting, descriptive geometry, trigonometry, series, complex functions, (3) differential calculus of one variable, (4) integral calculus of one variable, (5) multivariate calculus, (6) linear algebra including matrix, vector, eigenvector, vector calculus, tensor, spreadsheet, (7) differential and integral equations, and (8) probability, distribution, treatment of laboratory data, linear and non-linear regression and optimization.
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Part II presents mathematical topics typically taught within chemistry courses, including (9) chemical equilibrium, (10) group theory, (11) graph theory, (12a) introduction to quantum mechanics and quantum chemistry, (14) applications of Fourier transforms in chemistry including electron diffraction, x-ray diffraction, microwave spectra, infrared and Raman spectra and nuclear-magnetic-resonance spectra, and (18) dielectric and magnetic properties of chemical matter.
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Other chapters are in preparation and will be released in due course.<img src="/view.aspx?si=154267/molecule.PNG" alt="Mathematics for Chemistry" align="left"/>This interactive electronic textbook in the form of Maple worksheets comprises two parts.
<BR><BR>
Part I, mathematics for chemistry, is supposed to cover all mathematics that an instructor of chemistry might hope and expect that his students would learn, understand and be able to apply as a result of sufficient courses typically, but not exclusively, presented in departments of mathematics. Its nine chapters include (0) a summary and illustration of useful Maple commands, (1) arithmetic, algebra and elementary functions, (2) plotting, descriptive geometry, trigonometry, series, complex functions, (3) differential calculus of one variable, (4) integral calculus of one variable, (5) multivariate calculus, (6) linear algebra including matrix, vector, eigenvector, vector calculus, tensor, spreadsheet, (7) differential and integral equations, and (8) probability, distribution, treatment of laboratory data, linear and non-linear regression and optimization.
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Part II presents mathematical topics typically taught within chemistry courses, including (9) chemical equilibrium, (10) group theory, (11) graph theory, (12a) introduction to quantum mechanics and quantum chemistry, (14) applications of Fourier transforms in chemistry including electron diffraction, x-ray diffraction, microwave spectra, infrared and Raman spectra and nuclear-magnetic-resonance spectra, and (18) dielectric and magnetic properties of chemical matter.
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Other chapters are in preparation and will be released in due course.154267Tue, 30 May 2017 04:00:00 ZProf. John OgilvieProf. John OgilvieChoropleth Map of Literacy Rates in Sub-Saharan Africa
https://www.maplesoft.com/applications/view.aspx?SID=154251&ref=Feed
This application generates a choropleth map that illustrates literacy rates in subsaharan Africa. Data is sourced from a 2015 UNESCO study.<img src="/view.aspx?si=154251/screengrab.png" alt="Choropleth Map of Literacy Rates in Sub-Saharan Africa" align="left"/>This application generates a choropleth map that illustrates literacy rates in subsaharan Africa. Data is sourced from a 2015 UNESCO study.154251Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanBolt Group Coefficient for Eccentric Loads
https://www.maplesoft.com/applications/view.aspx?SID=154252&ref=Feed
This application calculates the bolt coefficient for eccentrically loaded bolt groups using the Instantaneous Center of Rotation method (also known as the Ultimate Strength method).
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The bolt coefficient C is the ratio of the factored force (or available strength) of the bolt group Pu and the shear capacity of a single bolt. Once the coefficient is known, a bolt group can be designed for any load.
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Traditionally, bolt group coefficients are extracted by using tabulated values in the AISC Steel Construction Manual. However, these tables are limited to common bolt patterns, and specific load eccentricities and angles. Non-tabulated values must be extracted by using linear interpolation.
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This Maple worksheet, however, calculates the bolt group coefficient for any bolt and load configuration by implementing the theory used to generate the tables.
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The results agree with those presented in AISC Manual of Steel Construction: Load and Resistance Factor Design, 2nd Edition.<img src="/view.aspx?si=154252/screengrab.png" alt="Bolt Group Coefficient for Eccentric Loads" align="left"/>This application calculates the bolt coefficient for eccentrically loaded bolt groups using the Instantaneous Center of Rotation method (also known as the Ultimate Strength method).
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The bolt coefficient C is the ratio of the factored force (or available strength) of the bolt group Pu and the shear capacity of a single bolt. Once the coefficient is known, a bolt group can be designed for any load.
<BR><BR>
Traditionally, bolt group coefficients are extracted by using tabulated values in the AISC Steel Construction Manual. However, these tables are limited to common bolt patterns, and specific load eccentricities and angles. Non-tabulated values must be extracted by using linear interpolation.
<BR><BR>
This Maple worksheet, however, calculates the bolt group coefficient for any bolt and load configuration by implementing the theory used to generate the tables.
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The results agree with those presented in AISC Manual of Steel Construction: Load and Resistance Factor Design, 2nd Edition.154252Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanColor of Gold-Silver-Copper Alloys
https://www.maplesoft.com/applications/view.aspx?SID=154253&ref=Feed
This application plots the colors of gold-silver-copper alloys on a ternary diagram.
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A spreadsheet (attached to this workbook) contains experimental CIE xyY colorspace coordinates of gold-silver-copper alloys under a C illuminant with a 2° observer (Roberts & Clark, 1979). The color data is translated into the CIE Lab colorspace and plotted on a ternary diagram.
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A ternary diagram is a non-standard Maple plot, but can be constructed using Maple's programmatic visualization tools.<img src="/view.aspx?si=154253/screengrab.png" alt="Color of Gold-Silver-Copper Alloys" align="left"/>This application plots the colors of gold-silver-copper alloys on a ternary diagram.
<BR><BR>
A spreadsheet (attached to this workbook) contains experimental CIE xyY colorspace coordinates of gold-silver-copper alloys under a C illuminant with a 2° observer (Roberts & Clark, 1979). The color data is translated into the CIE Lab colorspace and plotted on a ternary diagram.
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A ternary diagram is a non-standard Maple plot, but can be constructed using Maple's programmatic visualization tools.154253Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanCost of Heating a Home with Natural Gas
https://www.maplesoft.com/applications/view.aspx?SID=154254&ref=Feed
This application calculates the cost of heating a house with natural gas, assuming
<UL>
<LI> heat losses through four side walls (each with windows), a roof, and air exchanges with the environment
<LI> and heat gains through a furnace.
</UL>
Historical heating degree day data for Kitchener, Ontario, will be used.
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Only the direct cost of the natural gas is computed; no other costs, such as delivery or taxes, are included.<img src="/view.aspx?si=154254/screengrab.png" alt="Cost of Heating a Home with Natural Gas" align="left"/>This application calculates the cost of heating a house with natural gas, assuming
<UL>
<LI> heat losses through four side walls (each with windows), a roof, and air exchanges with the environment
<LI> and heat gains through a furnace.
</UL>
Historical heating degree day data for Kitchener, Ontario, will be used.
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Only the direct cost of the natural gas is computed; no other costs, such as delivery or taxes, are included.154254Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanDeflection of a Beam with Distributed and Point Load
https://www.maplesoft.com/applications/view.aspx?SID=154255&ref=Feed
This application will derive an explicit expression for the deflection of a beam with a distributed load and a point load. It does this by symbolically solving the Euler-Bernoulli equation.
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Moreover, the beam deflection equation is differentiated to give symbolic expressions for the moment and shear of the beam.<img src="/view.aspx?si=154255/screengrab.png" alt="Deflection of a Beam with Distributed and Point Load" align="left"/>This application will derive an explicit expression for the deflection of a beam with a distributed load and a point load. It does this by symbolically solving the Euler-Bernoulli equation.
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Moreover, the beam deflection equation is differentiated to give symbolic expressions for the moment and shear of the beam.154255Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanEfficiency of a Gas Turbine
https://www.maplesoft.com/applications/view.aspx?SID=154256&ref=Feed
This application plots the efficiency of a gas turbine (based upon an ideal Brayton cycle) as a function of the compressor pressure ratio.
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A procedure is developed that computes the efficiency as a function of the compressor inlet temperature and pressure, the combustor outlet temperature, and the compressor pressure ratio; any of these parameters can be modified and explored.
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The working fluid is air, whose thermodynamic properties of air are provided by the ThermophysicalData package.<img src="/view.aspx?si=154256/screengrab.png" alt="Efficiency of a Gas Turbine" align="left"/>This application plots the efficiency of a gas turbine (based upon an ideal Brayton cycle) as a function of the compressor pressure ratio.
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A procedure is developed that computes the efficiency as a function of the compressor inlet temperature and pressure, the combustor outlet temperature, and the compressor pressure ratio; any of these parameters can be modified and explored.
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The working fluid is air, whose thermodynamic properties of air are provided by the ThermophysicalData package.154256Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanInteractive Temperature-Entropy Chart
https://www.maplesoft.com/applications/view.aspx?SID=154257&ref=Feed
This application lets you generate and customize a temperature-entropy chart for over 100 pure fluids. You can adjust the temperature and entropy range over which the chart is generated, and adjust the isobars.
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These charts are generated from real fluid properties, courtesy of Maple's ThermophysicalData package.<img src="/view.aspx?si=154257/screengrab.png" alt="Interactive Temperature-Entropy Chart" align="left"/>This application lets you generate and customize a temperature-entropy chart for over 100 pure fluids. You can adjust the temperature and entropy range over which the chart is generated, and adjust the isobars.
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These charts are generated from real fluid properties, courtesy of Maple's ThermophysicalData package.154257Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanLive Earthquake Data
https://www.maplesoft.com/applications/view.aspx?SID=154258&ref=Feed
This application downloads live earthquake data from the USGS website, and plots the location and magnitude on a world map. You can experiment with various map styles and projections.
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If you move the mouse over the points in the visualization, an annotation gives the location and the magnitude of an earthquake
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The world map for this visualization is generated by Maple's map tools.<img src="/view.aspx?si=154258/screengrab.png" alt="Live Earthquake Data" align="left"/>This application downloads live earthquake data from the USGS website, and plots the location and magnitude on a world map. You can experiment with various map styles and projections.
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If you move the mouse over the points in the visualization, an annotation gives the location and the magnitude of an earthquake
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The world map for this visualization is generated by Maple's map tools.154258Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanMaximum Flow Rate in Open-Channel Flow for a Circular Pipe
https://www.maplesoft.com/applications/view.aspx?SID=154259&ref=Feed
This application determines the greatest attainable water flow rate in a partially filled circular pipe.
It uses the Manning formula to determine the flow rate in the open-channel flow of water.
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An equation that represents the hydraulic radius of a partially filled circular pipe is derived and substituted into the Manning formula. The resulting equation is then optimized to find the maximum flow rate.<img src="/view.aspx?si=154259/screengrab.png" alt="Maximum Flow Rate in Open-Channel Flow for a Circular Pipe" align="left"/>This application determines the greatest attainable water flow rate in a partially filled circular pipe.
It uses the Manning formula to determine the flow rate in the open-channel flow of water.
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An equation that represents the hydraulic radius of a partially filled circular pipe is derived and substituted into the Manning formula. The resulting equation is then optimized to find the maximum flow rate.154259Mon, 29 May 2017 04:00:00 ZSamir KhanSamir Khan