Thermodynamics: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=2886
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemFri, 14 May 2021 11:11:00 GMTFri, 14 May 2021 11:11:00 GMTNew applications in the Thermodynamics categoryhttps://www.maplesoft.com/images/Application_center_hp.jpgThermodynamics: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=2886
Light, Chroma & Lamp Engineering Applications
https://www.maplesoft.com/applications/view.aspx?SID=154656&ref=Feed
Emulation of the spectral distributions of many non-LED popular lamps, allows for direct utility calculations based on many different parameters including chromaticity, space type, lifetime, occasion, application, cost and efficiency. 7 such parameters are used with constrained weight optimization to fish out some of the more popular lamp types used in many situations today. Will be modified some time later to deal with LEDs. Based on elemental spectral data published by NIST.<img src="https://www.maplesoft.com/view.aspx?si=154656/L14(1).jpg" alt="Light, Chroma & Lamp Engineering Applications" style="max-width: 25%;" align="left"/>Emulation of the spectral distributions of many non-LED popular lamps, allows for direct utility calculations based on many different parameters including chromaticity, space type, lifetime, occasion, application, cost and efficiency. 7 such parameters are used with constrained weight optimization to fish out some of the more popular lamp types used in many situations today. Will be modified some time later to deal with LEDs. Based on elemental spectral data published by NIST.https://www.maplesoft.com/applications/view.aspx?SID=154656&ref=FeedFri, 04 Dec 2020 05:00:00 ZYiannis GalidakisYiannis GalidakisVenting of Gas From a Hole in a Pipe
https://www.maplesoft.com/applications/view.aspx?SID=154644&ref=Feed
This application calculates the rate at which gas flows out of a hole (or throat) in a pressurized pipe. Additionally, the Mach number, gas temperature and velocity, and speed of sound at the throat are computed.
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The same analysis can be applied to a pressurized tank venting gas through a hole, as long as the internal conditions are constant.
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The hole is small compared to the pipe diameter (so that the gas vents at a greater rate than the bulk flow of gas through the pipe), and the process is at steady-state and isentropic.
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The polytropic coefficient and molecular weight of the gas are computed with the <A HREF="/support/help/maple/view.aspx?path=ThermophysicalData">ThermophysicalData package</A>.<img src="https://www.maplesoft.com/view.aspx?si=154644/Venting_of_Gas_from_a_Hole_in_a_Pipe.png" alt="Venting of Gas From a Hole in a Pipe" style="max-width: 25%;" align="left"/>This application calculates the rate at which gas flows out of a hole (or throat) in a pressurized pipe. Additionally, the Mach number, gas temperature and velocity, and speed of sound at the throat are computed.
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The same analysis can be applied to a pressurized tank venting gas through a hole, as long as the internal conditions are constant.
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The hole is small compared to the pipe diameter (so that the gas vents at a greater rate than the bulk flow of gas through the pipe), and the process is at steady-state and isentropic.
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The polytropic coefficient and molecular weight of the gas are computed with the <A HREF="/support/help/maple/view.aspx?path=ThermophysicalData">ThermophysicalData package</A>.https://www.maplesoft.com/applications/view.aspx?SID=154644&ref=FeedMon, 25 May 2020 04:00:00 ZSamir KhanSamir KhanSpeed of Sound in Various Fluids
https://www.maplesoft.com/applications/view.aspx?SID=154641&ref=Feed
This application computes and tabulates the speed of sound in various fluids at standard temperature and pressure, as provided by the ThermophysicalData package (which uses the open-source CoolProp project for fluid properties).
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The list of fluids include water, ethanol, air, ammonia and several others. However, you can use any of the fluids in the ThermophysicalData package (this help page contains a list of available fluids).
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This application also demonstrates the use of the DocumentTools package for tabulating and formatting results.<img src="https://www.maplesoft.com/view.aspx?si=154641/thumb.png" alt="Speed of Sound in Various Fluids" style="max-width: 25%;" align="left"/>This application computes and tabulates the speed of sound in various fluids at standard temperature and pressure, as provided by the ThermophysicalData package (which uses the open-source CoolProp project for fluid properties).
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The list of fluids include water, ethanol, air, ammonia and several others. However, you can use any of the fluids in the ThermophysicalData package (this help page contains a list of available fluids).
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This application also demonstrates the use of the DocumentTools package for tabulating and formatting results.https://www.maplesoft.com/applications/view.aspx?SID=154641&ref=FeedFri, 08 May 2020 04:00:00 ZSamir KhanSamir KhanHow Cold Can a Zeer Pot Get?
https://www.maplesoft.com/applications/view.aspx?SID=154633&ref=Feed
A Zeer pot is an evaporative cooler made of two clay or terracotta pots. One is placed inside the other and the gap filled with wet sand, and a wet cloth is placed on top. Vegetables or fruit are usually placed in the inner pot. As the water from the sand evaporates, the inner pot is cooled. Water wicks throughout the sand to maintain a consistent temperature throughout.
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The coldest possible temperature that can be achieved is the wet-bulb temperature, and can be computed with Maple's ThermophysicalData package. The wet bulb temperature is a function of the relative humidity (i.e. the water content) and temperature of the ambient air.
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This application plots the coldest possible temperature in a Zeer pot for a range of relative humidities.<img src="https://www.maplesoft.com/view.aspx?si=154633/ZeerPot.png" alt="How Cold Can a Zeer Pot Get?" style="max-width: 25%;" align="left"/>A Zeer pot is an evaporative cooler made of two clay or terracotta pots. One is placed inside the other and the gap filled with wet sand, and a wet cloth is placed on top. Vegetables or fruit are usually placed in the inner pot. As the water from the sand evaporates, the inner pot is cooled. Water wicks throughout the sand to maintain a consistent temperature throughout.
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The coldest possible temperature that can be achieved is the wet-bulb temperature, and can be computed with Maple's ThermophysicalData package. The wet bulb temperature is a function of the relative humidity (i.e. the water content) and temperature of the ambient air.
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This application plots the coldest possible temperature in a Zeer pot for a range of relative humidities.https://www.maplesoft.com/applications/view.aspx?SID=154633&ref=FeedFri, 17 Apr 2020 04:00:00 ZSamir KhanSamir KhanCalculating the Latent Heats of Vaporization and Fusion of Water
https://www.maplesoft.com/applications/view.aspx?SID=154552&ref=Feed
This application demonstrates how you can calculate the latent heat of vaporization and the latent heat of fusion of water.
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The application uses empirical data from the <A HREF="/products/maple/features/thermophysicaldata.aspx">ThermophysicalData package</A><img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Calculating the Latent Heats of Vaporization and Fusion of Water" style="max-width: 25%;" align="left"/>This application demonstrates how you can calculate the latent heat of vaporization and the latent heat of fusion of water.
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The application uses empirical data from the <A HREF="/products/maple/features/thermophysicaldata.aspx">ThermophysicalData package</A>https://www.maplesoft.com/applications/view.aspx?SID=154552&ref=FeedThu, 12 Sep 2019 04:00:00 ZSamir KhanSamir KhanPhysical Properties of Natural Gas
https://www.maplesoft.com/applications/view.aspx?SID=154532&ref=Feed
Oil and gas engineers need accurate values of the transport and thermodynamic properties of natural gas, over a broad range of temperatures, pressures, and compositions.
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This data is needed to size pipes, pumps, valves, heat exchangers, compressors and other items of a process plant.
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Inaccurate data compounded over the many items of process equipment can amplify risk, both to cost and safety.
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Maple lets you calculate the transport properties of several standard natural gas mixtures (Gulf Coast, Amarillo, Ekofisk, High N2 and High N2/O2), and your own custom mixtures. The functionality is available in the ThermophysicalData package, powered by the open source <A HREF="http://www.coolprop.org" TARGET="_blank">CoolProp</A> project.
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Properties are calculated with a Helmholtz energy approach, and includes density, viscosity, specific heat capacity, compressibility factor, Joule-Thomson coefficient and more.
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This data is instantly accessible in Maple's interactive computing environment - this means you can use all of Maple's plotting, solving and optimization routines, and employ units as a dimensionality check.<img src="https://www.maplesoft.com/view.aspx?si=154532/thumb.png" alt="Physical Properties of Natural Gas" style="max-width: 25%;" align="left"/>Oil and gas engineers need accurate values of the transport and thermodynamic properties of natural gas, over a broad range of temperatures, pressures, and compositions.
<BR><BR>
This data is needed to size pipes, pumps, valves, heat exchangers, compressors and other items of a process plant.
<BR><BR>
Inaccurate data compounded over the many items of process equipment can amplify risk, both to cost and safety.
<BR><BR>
Maple lets you calculate the transport properties of several standard natural gas mixtures (Gulf Coast, Amarillo, Ekofisk, High N2 and High N2/O2), and your own custom mixtures. The functionality is available in the ThermophysicalData package, powered by the open source <A HREF="http://www.coolprop.org" TARGET="_blank">CoolProp</A> project.
<BR><BR>
Properties are calculated with a Helmholtz energy approach, and includes density, viscosity, specific heat capacity, compressibility factor, Joule-Thomson coefficient and more.
<BR><BR>
This data is instantly accessible in Maple's interactive computing environment - this means you can use all of Maple's plotting, solving and optimization routines, and employ units as a dimensionality check.https://www.maplesoft.com/applications/view.aspx?SID=154532&ref=FeedThu, 23 May 2019 04:00:00 ZSamir KhanSamir KhanThermal Engineering with Maple – Application Collection
https://www.maplesoft.com/applications/view.aspx?SID=154123&ref=Feed
This e-book contains many Maple applications covering topics in thermodynamics, including combustion, psychrometric modeling, refrigeration, heat transfer and more. With practical examples, it demonstrates how you can use Maple to solve various problems in thermal engineering.
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Maple’s thermophysical and thermodymamic data library is used throughout; if you change the working fluid or operating conditions, Maple updates the application with accurate physical properties.
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You can explore the e-book using the Navigator or the table of contents.
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These applications are packaged together in the Workbook file format. You will need Maple 2018 (or later) to use this workbook. If you do not have Maple 2018, download the <A HREF="http://www.maplesoft.com/products/maple/Mapleplayer/">free Maple Player</A> to view the applications and interact with a select few.
<B<img src="https://www.maplesoft.com/view.aspx?si=154123/thermal_1018.png" alt="Thermal Engineering with Maple – Application Collection" style="max-width: 25%;" align="left"/>This e-book contains many Maple applications covering topics in thermodynamics, including combustion, psychrometric modeling, refrigeration, heat transfer and more. With practical examples, it demonstrates how you can use Maple to solve various problems in thermal engineering.
<BR><BR>
Maple’s thermophysical and thermodymamic data library is used throughout; if you change the working fluid or operating conditions, Maple updates the application with accurate physical properties.
<BR><BR>
You can explore the e-book using the Navigator or the table of contents.
<BR><BR>
These applications are packaged together in the Workbook file format. You will need Maple 2018 (or later) to use this workbook. If you do not have Maple 2018, download the <A HREF="http://www.maplesoft.com/products/maple/Mapleplayer/">free Maple Player</A> to view the applications and interact with a select few.
<Bhttps://www.maplesoft.com/applications/view.aspx?SID=154123&ref=FeedTue, 02 Oct 2018 04:00:00 ZSamir KhanSamir KhanCalculation of thermal efficiency of a two-circuit steam and gas (binary) plant
https://www.maplesoft.com/applications/view.aspx?SID=154435&ref=Feed
This application calculates the thermal efficiency of a two-circuit steam and gas (binary) plant.<img src="https://www.maplesoft.com/view.aspx?si=154435/Calculation_of_thermal_efficiency_of_a_two-circuit_steam_and_gas_(binary)_plant.png" alt="Calculation of thermal efficiency of a two-circuit steam and gas (binary) plant" style="max-width: 25%;" align="left"/>This application calculates the thermal efficiency of a two-circuit steam and gas (binary) plant.https://www.maplesoft.com/applications/view.aspx?SID=154435&ref=FeedTue, 08 May 2018 04:00:00 ZProf. Valery OchkovProf. Valery OchkovCalculation of thermal efficiency of a three-circuit steam and gas (binary) plant
https://www.maplesoft.com/applications/view.aspx?SID=154436&ref=Feed
This application calculates the thermal efficiency of a three-circuit steam and gas (binary) plant.<img src="https://www.maplesoft.com/view.aspx?si=154436/Calculation_of_thermal_efficiency_of_a_three-circuit_steam_and_gas_(binary)_plant.png" alt="Calculation of thermal efficiency of a three-circuit steam and gas (binary) plant" style="max-width: 25%;" align="left"/>This application calculates the thermal efficiency of a three-circuit steam and gas (binary) plant.https://www.maplesoft.com/applications/view.aspx?SID=154436&ref=FeedTue, 08 May 2018 04:00:00 ZProf. Valery OchkovProf. Valery OchkovРасчет термического КПД двухконтурной парогазовой установки
https://www.maplesoft.com/applications/view.aspx?SID=154442&ref=Feed
Это применение вычисляет тепловую эффективность двухконтурной парогазовой (бинарной) установки.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Расчет термического КПД двухконтурной парогазовой установки" style="max-width: 25%;" align="left"/>Это применение вычисляет тепловую эффективность двухконтурной парогазовой (бинарной) установки.https://www.maplesoft.com/applications/view.aspx?SID=154442&ref=FeedTue, 08 May 2018 04:00:00 ZProf. Valery OchkovProf. Valery OchkovРасчет термического КПД трёхконтурной парогазовой установки
https://www.maplesoft.com/applications/view.aspx?SID=154443&ref=Feed
Это применение вычисляет тепловую эффективность трехконтурной парогазовой (бинарной) установки.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Расчет термического КПД трёхконтурной парогазовой установки" style="max-width: 25%;" align="left"/>Это применение вычисляет тепловую эффективность трехконтурной парогазовой (бинарной) установки.https://www.maplesoft.com/applications/view.aspx?SID=154443&ref=FeedMon, 23 Apr 2018 04:00:00 ZProf. Valery OchkovProf. Valery OchkovРасчет термического КПД парогазовой установки
https://www.maplesoft.com/applications/view.aspx?SID=154437&ref=Feed
Это применение вычисляет тепловую эффективность паровой турбины (на основе цикла Ранкина), в сочетании с газовой турбиной на основе цикла)<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Расчет термического КПД парогазовой установки" style="max-width: 25%;" align="left"/>Это применение вычисляет тепловую эффективность паровой турбины (на основе цикла Ранкина), в сочетании с газовой турбиной на основе цикла)https://www.maplesoft.com/applications/view.aspx?SID=154437&ref=FeedWed, 18 Apr 2018 04:00:00 ZProf. Valery Ochkov, Aung Thu Ya TunProf. Valery Ochkov, Aung Thu Ya TunCalculation of thermal efficiency of combined-cycle plant
https://www.maplesoft.com/applications/view.aspx?SID=154432&ref=Feed
This application calculates the thermal efficiency of a steam turbine (based on a Rankine cycle), combined with a gas turbine based on the Brayton Cycle)<img src="https://www.maplesoft.com/view.aspx?si=154432/Calculation_of__thermal__efficiency_of_combined-cycle_plant.png" alt="Calculation of thermal efficiency of combined-cycle plant" style="max-width: 25%;" align="left"/>This application calculates the thermal efficiency of a steam turbine (based on a Rankine cycle), combined with a gas turbine based on the Brayton Cycle)https://www.maplesoft.com/applications/view.aspx?SID=154432&ref=FeedFri, 06 Apr 2018 04:00:00 ZProf. Valery OchkovProf. Valery OchkovMaximum Deflagration Pressure of the Combustion of Hydrogen in Air at Constant Volume
https://www.maplesoft.com/applications/view.aspx?SID=154404&ref=Feed
Hydrogen is combusted in air at constant volume, with the reactants at an initial temperature of 298.15 K. The chemical reaction is
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<CENTER>
H<SUB>2</SUB> + 0.5 O<SUB>2</SUB> + 1.88 N<SUB>2</SUB> → H2O + 1.88 N<SUB>2</SUB>
</CENTER>
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This application will calculate the maximum pressure generated by the combustion process.
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Thermodynamic properties are calculated using the empirical correlations provided by the ThermophysicalData package. The equations arising from the combustion enthalpy balance are solved numerically with <A HREF="/support/help/maple/view.aspx?path=fsolve">fsolve</A>.<img src="https://www.maplesoft.com/view.aspx?si=154404/image.png" alt="Maximum Deflagration Pressure of the Combustion of Hydrogen in Air at Constant Volume" style="max-width: 25%;" align="left"/>Hydrogen is combusted in air at constant volume, with the reactants at an initial temperature of 298.15 K. The chemical reaction is
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<CENTER>
H<SUB>2</SUB> + 0.5 O<SUB>2</SUB> + 1.88 N<SUB>2</SUB> → H2O + 1.88 N<SUB>2</SUB>
</CENTER>
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This application will calculate the maximum pressure generated by the combustion process.
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Thermodynamic properties are calculated using the empirical correlations provided by the ThermophysicalData package. The equations arising from the combustion enthalpy balance are solved numerically with <A HREF="/support/help/maple/view.aspx?path=fsolve">fsolve</A>.https://www.maplesoft.com/applications/view.aspx?SID=154404&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanPerformance of a Monomethylhydrazine-Dinitrogen Tetroxide Rocket
https://www.maplesoft.com/applications/view.aspx?SID=154410&ref=Feed
Liquid monomethylhydrazine (CH<sub>6</sub>N<sub>2</sub>) and dinitrogen tetroxide (N<sub>2</sub>O<sub>4</sub>) are burned in the combustion chamber of a rocket engine. The oxidizer to fuel ratio is 2.5 (i.e. in the ratio of 1 mole of CH<SUB>6</SUB>N<SUB>2</SUB> to 1.2518 moles of N<SUB>2</SUB>O<SUB>4</SUB>).
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This application will calculate
<UL>
<LI>the adiabatic flame temperature and composition of the combustion products (i.e. in the combustion chamber)
<LI>the pressures and temperatures in the throat and exit
<LI>and the theoretical rocket performance, including the ideal specific impulse, characteristic velocity, and sonic velocity.
</UL><img src="https://www.maplesoft.com/view.aspx?si=154410/image.png" alt="Performance of a Monomethylhydrazine-Dinitrogen Tetroxide Rocket" style="max-width: 25%;" align="left"/>Liquid monomethylhydrazine (CH<sub>6</sub>N<sub>2</sub>) and dinitrogen tetroxide (N<sub>2</sub>O<sub>4</sub>) are burned in the combustion chamber of a rocket engine. The oxidizer to fuel ratio is 2.5 (i.e. in the ratio of 1 mole of CH<SUB>6</SUB>N<SUB>2</SUB> to 1.2518 moles of N<SUB>2</SUB>O<SUB>4</SUB>).
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This application will calculate
<UL>
<LI>the adiabatic flame temperature and composition of the combustion products (i.e. in the combustion chamber)
<LI>the pressures and temperatures in the throat and exit
<LI>and the theoretical rocket performance, including the ideal specific impulse, characteristic velocity, and sonic velocity.
</UL>https://www.maplesoft.com/applications/view.aspx?SID=154410&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanPropane Combustion
https://www.maplesoft.com/applications/view.aspx?SID=154413&ref=Feed
This application calculates the adiabatic flame temperature of propane (C<SUB>3</SUB>H<SUB>8</SUB>) burned with 250% theoretical air, both initially at 298.15 K.
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The combustion reaction is
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<CENTER>
C<SUB>3</SUB>H<SUB>8</SUB> (g) + 12.5 O<SUB>2</SUB> (g) + 47 N<SUB>2</SUB> (g) → 3 CO<SUB>2</SUB> (g) + 4 H<SUB>2</SUB>O (g) + 7.5 O<SUB>2</SUB> (g) + 47 N<SUB>2</SUB> (g)
</CENTER>
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The enthalpy of propane, oxygen, nitrogen, carbon dioxide, nitrogen and water are calculated with the empirical data in the ThermophysicalData:-Chemicals package.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Propane Combustion" style="max-width: 25%;" align="left"/>This application calculates the adiabatic flame temperature of propane (C<SUB>3</SUB>H<SUB>8</SUB>) burned with 250% theoretical air, both initially at 298.15 K.
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The combustion reaction is
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<CENTER>
C<SUB>3</SUB>H<SUB>8</SUB> (g) + 12.5 O<SUB>2</SUB> (g) + 47 N<SUB>2</SUB> (g) → 3 CO<SUB>2</SUB> (g) + 4 H<SUB>2</SUB>O (g) + 7.5 O<SUB>2</SUB> (g) + 47 N<SUB>2</SUB> (g)
</CENTER>
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The enthalpy of propane, oxygen, nitrogen, carbon dioxide, nitrogen and water are calculated with the empirical data in the ThermophysicalData:-Chemicals package.https://www.maplesoft.com/applications/view.aspx?SID=154413&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanTemperature in a Combustion Chamber Burning Methane
https://www.maplesoft.com/applications/view.aspx?SID=154417&ref=Feed
A gas turbine burns methane in 200% stoichiometric air.
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<CENTER>
CH<SUB>4</SUB> + 4 O<SUB>2</SUB> + 15.04 N<SUB>2</SUB> ⇌ CO<SUB>2</SUB> + 2 H<SUB>2</SUB>O + 7.52 N<SUB>2</SUB> + 15.04 N<SUB>2</SUB> + 4 O<SUB>2</SUB>
</CENTER>
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The air and the fuel enter the combustion chamber at 600 K. This application will determine the adiabatic flame temperature in the chamber.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Temperature in a Combustion Chamber Burning Methane" style="max-width: 25%;" align="left"/>A gas turbine burns methane in 200% stoichiometric air.
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<CENTER>
CH<SUB>4</SUB> + 4 O<SUB>2</SUB> + 15.04 N<SUB>2</SUB> ⇌ CO<SUB>2</SUB> + 2 H<SUB>2</SUB>O + 7.52 N<SUB>2</SUB> + 15.04 N<SUB>2</SUB> + 4 O<SUB>2</SUB>
</CENTER>
<BR>
The air and the fuel enter the combustion chamber at 600 K. This application will determine the adiabatic flame temperature in the chamber.https://www.maplesoft.com/applications/view.aspx?SID=154417&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanC Code to Calculate Adiabatic Flame Temperature of Octane
https://www.maplesoft.com/applications/view.aspx?SID=154397&ref=Feed
This application will generate C code that gives the constant volume adiabatic flame temperature of octane for any initial reactant temperature.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="C Code to Calculate Adiabatic Flame Temperature of Octane" style="max-width: 25%;" align="left"/>This application will generate C code that gives the constant volume adiabatic flame temperature of octane for any initial reactant temperature.https://www.maplesoft.com/applications/view.aspx?SID=154397&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanAdiabatic Flame Temperature of Butane
https://www.maplesoft.com/applications/view.aspx?SID=154396&ref=Feed
Liquid butane at standard temperature and pressure is burned with 100% theoretical air. The combustion reaction is
<BR><BR>
<CENTER>
C<SUB>4</SUB>H<SUB>10</SUB> (l) + 6.5 O<SUB>2</SUB> (g) + 24.44 N<SUB>2</SUB> (g) → 4 CO<SUB>2</SUB> (g) + 5 H<SUB>2</SUB>O (g) + 24.44 N<SUB>2</SUB> (g)
</CENTER>
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This application calculates the adiabatic flame temperature of the combustion products.
<BR><BR>
The enthalpy of the reactants (which is known) is equated to the enthalpy of the products (which is a function of the unknown flame temperature). The resulting equation is solved numerically using <A HREF="/support/help/maple/view.aspx?path=fsolve">fsolve</A>.
<BR><BR>
Units are used throughout the calculation, and the ThermophysicalData:-Chemicals package is used to compute temperature-dependent values of enthalpy.
<BR><BR><img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Adiabatic Flame Temperature of Butane" style="max-width: 25%;" align="left"/>Liquid butane at standard temperature and pressure is burned with 100% theoretical air. The combustion reaction is
<BR><BR>
<CENTER>
C<SUB>4</SUB>H<SUB>10</SUB> (l) + 6.5 O<SUB>2</SUB> (g) + 24.44 N<SUB>2</SUB> (g) → 4 CO<SUB>2</SUB> (g) + 5 H<SUB>2</SUB>O (g) + 24.44 N<SUB>2</SUB> (g)
</CENTER>
<BR><BR>
This application calculates the adiabatic flame temperature of the combustion products.
<BR><BR>
The enthalpy of the reactants (which is known) is equated to the enthalpy of the products (which is a function of the unknown flame temperature). The resulting equation is solved numerically using <A HREF="/support/help/maple/view.aspx?path=fsolve">fsolve</A>.
<BR><BR>
Units are used throughout the calculation, and the ThermophysicalData:-Chemicals package is used to compute temperature-dependent values of enthalpy.
<BR><BR>https://www.maplesoft.com/applications/view.aspx?SID=154396&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir KhanCarbon Monoxide Combustion
https://www.maplesoft.com/applications/view.aspx?SID=154398&ref=Feed
One mole of carbon monoxide and 0.5 moles of oxygen are ignited at 298.15 K and 1 atm. The reaction is
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CO + 0.5 O<SUB>2</SUB> → CO<SUB>2</SUB>
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The combustion products undergo dissociation and contain CO<SUB>2</SUB>, CO, O and O<SUB>2</SUB>.
<UL>
<LI>The equilibrium composition is found by minimizing the Gibbs Energy of the combustion products (formulated as a series of equations constructed via the method of Lagrange multipliers)
<LI>The adiabatic flame temperature is found by balancing the enthalpy of the reactants against the enthalpy of the products
</UL>
The resulting equations are solved numerically to give the adiabatic flame temperature and equilibrium composition of the mixture.<img src="https://www.maplesoft.com/view.aspx?si=154398/image.png" alt="Carbon Monoxide Combustion" style="max-width: 25%;" align="left"/>One mole of carbon monoxide and 0.5 moles of oxygen are ignited at 298.15 K and 1 atm. The reaction is
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CO + 0.5 O<SUB>2</SUB> → CO<SUB>2</SUB>
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The combustion products undergo dissociation and contain CO<SUB>2</SUB>, CO, O and O<SUB>2</SUB>.
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<LI>The equilibrium composition is found by minimizing the Gibbs Energy of the combustion products (formulated as a series of equations constructed via the method of Lagrange multipliers)
<LI>The adiabatic flame temperature is found by balancing the enthalpy of the reactants against the enthalpy of the products
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The resulting equations are solved numerically to give the adiabatic flame temperature and equilibrium composition of the mixture.https://www.maplesoft.com/applications/view.aspx?SID=154398&ref=FeedFri, 09 Mar 2018 05:00:00 ZSamir KhanSamir Khan