The simple chemical reacting system (SCRS) is one of the combustion models for computational fluid dynamics. This model helps us to determine the process of combustion which is a vital phenomenon used in many engineering applications like aircraft engines, internal combustion engines, rocket engines, industrial furnaces, and power station combustors. The simple chemical reacting system (SCRS) refers the global nature of the combustion process considering only the final species concentrations. The detailed kinetics of the process is generally neglected and it postulates that combustion does proceed via a global one-step without intermediates. Infinitely fast chemical reaction is assumed with oxidants reacting in stoichiometric proportions to form products. SCRS considers the reaction to be irreversible i.e. rate of reverse reaction is presumed to be very low. 1 kg of fuel + s kg of oxidant → (1 + s) kg of products For the combustion of the methane gas the equation becomes CH4 + 2O2 → CO2 + 2H2O 1 mole of CH4 + 2 moles of O2 → 1 mole of CO2 + 2 moles of H2O The stoichiometric proportions of the above equation is given by 1 kg of CH4 + (64/16) kg of O2 → (1+ 64/16) kg of products The transport equations for the fuel and oxygen mass fractions are Now consider a variable ‘’ defined by Also the mass transport coefficients, appearing in the transport equations are assumed to be a constant and are equal to ‘RΦ’ Now the transport equations of fuel and oxygen can be written as Assuming the reaction to be one step, infinitely fast we can conclude Now the transport equation reduces to Now defining the mixture fraction ‘f’, a non-dimensional variable in terms of ‘Φ’ we get Where the suffix ‘1’ denotes the fuel stream and ‘0’ denotes oxygen stream. If the mixture contains only oxygen the mixture fraction ‘f’ is given by the value ‘0’ and if it contains only fuel it is given by ‘1’. Now substituting the value of ‘Φ’ in the above mixture fraction equation we get In a fuel stream [mfu]1 = 1, [mox]1 = 0 and in an oxygen stream [mfu]0 = 0, [mox]0 = 1 Simplifying the above equation we get Now defining a new variable ‘fst’, a stoichiometric mixture where there is no oxygen and fuel present in the products is given by At fast chemical reactions 1. If there is excess of oxygen present in the reactants, there will be no fuel left in the products. Then mfu = 0, mox > 0 and f < fst is given by 2. If there is excess of fuel present in the reactants, there will be no oxygen left in the products. Then mfu > 0, mox = 0 and f > fst is given by Here ‘Φ’ is a passive scalar and it obeys the scalar transport equation. Also the mixture fraction ‘f’ is linearly related to ‘Φ ’, so it is also a passive scalar and obeys the scalar transport equation. Now the transport equation can be written as From the initial known masses of the oxygen and fuel, we can find out the masses of these values after combustion given by There are many inert gases included with the oxygen that do not take part in the reaction. The mass fraction of these inert gases after combustion for any value of ‘f’ can be obtained from the formula min = min, 0( 1 – f) + min, 1. f Similarly the mass fraction of the products of combustion is obtained from mpr = 1 – (mfu + min + mox) The following assumptions are made in the SCRS: 1. Single step reaction between the reactants excluding the intermediate steps. 2. A reactant which is in excess in mass fraction consumes all the other reactants stoichiometrically to form products. The above assumptions resolve the relations between mixture fraction f and all the mass fractions. So we need to solve only one partial differential equation to calculate combustion flows rather than calculating individual partial differential equations for the mass fraction. (Wikipedia).
Chemical Reactions (6 of 11) Quick Review 5 Types of Chemical Reactions
Gives a quickened easy overview of the five types of chemical reactions. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemical reactions encompass changes that only involve the positions of electrons in the forming and b
From playlist Chemical Reactions and Stoichiometry
Chemical Reactions (3 of 11) Combustion Reactions, An Explanation
Describes the basics of combustion reactions, how to identify them, predict the products and balance the chemical equation. Three explosions are included, methane mamba, whoosh bottle and hydrogen gas balloon. A chemical reaction is a process that leads to the chemical change of one set o
From playlist Chemical Reactions and Stoichiometry
Chemical Reactions (11 of 11) Stoichiometry: Grams to Liters of a Gas
Shows how to use stoichiometry to convert from grams of a substance to liters of a substance. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemical reactions encompass changes that only involve the positions of electrons
From playlist Chemical Reactions and Stoichiometry
Chemical Reaction (5 of 11) Synthesis Reactions, an Explanation
Describes the basics of synthesis reactions, how to identify them, predict the product and balance the chemical equation. Two examples are also shown, synthesis of MgO and ZnS. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another
From playlist Chemical Reactions and Stoichiometry
Chemical Reactions (2 of 11) Single Replacement Reactions, An Explanation
Describes the basics of single replacement reactions, how to identify them, predict the product and balance the chemical equation. Two examples are also shown, Mg + AgNO3 and Al + CuCl2 You can see a listing of all my videos at my website, http://www.stepbystepscience.com A chemical reac
From playlist Chemical Reactions and Stoichiometry
5 Types of Chemical Reactions (Chemistry) + Activity Series, Solubility Rules
If you see bubbles, or a precipitate formed, that's a good sign that a chemical reaction is taking place. But do you know what KIND of chemical reaction? Chemists typically divide chemical reactions into 5 types: 1) Synthesis (aka Combination) 2) Decomposition (aka Analysis) 3) Single Disp
From playlist Chemistry Lessons
Chemical Reactions (1 of 11) Double Replacement Reactions, An Explanation
Describes the basics of double replacement reactions, how to identify them, predict the products and balance the chemical equation. Two examples are also shown, AgNO3 + K2CrO4 and Pb(NO3)2 + KI You can see a listing of all my videos at my website, http://www.stepbystepscience.com A chemic
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Chemical Reactions (4 of 11) Decomposition Reactions, An Explanation
Describes the basics of decomposition reactions, how to identify them, predict the products and balance the chemical equation. Two examples are also shown, decomposition of sugar and hydrogen peroxide. A chemical reaction is a process that leads to the chemical change of one set of chemic
From playlist Chemical Reactions and Stoichiometry
Chemical Reactions (10 of 11) Stoichiometry: Moles to Moles
Shows how to use stoichiometry to determine the number of moles of reactants and products if you are given the number of moles of one of the substances in the reaction. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemica
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The Mathematical Code Hidden In Nature
Check out MEGAWOW from @PBSKIDS ►► https://youtu.be/meU4f31gqYI We’re on PATREON! Join the community https://www.patreon.com/itsokaytobesmart ↓↓↓ More info and sources below ↓↓↓ How do zebras get their stripes? How do leopards get their spots? And how do giraffes get their giraffe-shaped
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Advanced Chemical Reaction Engineering (PG) by Prof. H.S.Shankar,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
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The entire field of chemistry summarised in 12mins from simple atoms to the molecules that keep you alive. #chemistry #DomainOfScience If you would like to buy a poster of this map, they are available here: https://www.redbubble.com/people/dominicwalliman/works/26426671-the-map-of-chemis
From playlist Map Videos - Domain of Science
Hey guys, today we are going to be making some hexanoic acid, also known as Caproic acid. We will be carrying out a Grignard Reaction between 1-pental and CO2 gas. 1-bromopentane video: https://youtu.be/Y4bC_buRAmk Nile talks about lab safety: https://youtu.be/ftACSEJ6DZA --------------
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Equilibrium: Crash Course Chemistry #28
In this episode of Crash Course Chemistry, Hank goes over the ideas of keeping your life balance... well, your chemical life. Equilibrium is all about balance and today Hank discusses Chemical Equilibrium, Concentration, Temperature, and Pressure. Also, he'll chat about Le Chatalier's Prin
From playlist Chemistry
General Chemistry 1C. Lecture 01. Chemical Equilibrium Pt. 1.
UCI Chem 1C General Chemistry (Spring 2013) Lec 01. General Chemistry -- Chemical Equilibrium -- Part 1 View the complete course: http://ocw.uci.edu/courses/chem_1c_general_chemistry.html Instructor: Ramesh D. Arasasingham, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw
From playlist Chemistry 1C: General Chemistry
Kevin Painter: Connecting individual- and population-level models for the movement and organisation1
Abstract: The manner in which a population, whether of cells or animals, self-organises has been a long standing point of interest. Motivated by the problem of morphogenesis – the emergence of structure and form in the developing embryo - Alan Turing proposed his highly counterintuitive re
From playlist Summer School on Stochastic modelling in the life sciences
2014 GCEP Technical Talks: Fossil-Based Energy Systems - Edward Maginn
Edward Maginn, professor of chemical and biomolecular engineering at the University of Notre Dame, discusses working with ionic liquids for CO2 capture and separation. Maginn's presentation was hosted by the 2014 Global Climate and Energy Project (GCEP) Research Symposium. Learn more abou
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Wolfram Physics Project: Working Session Tuesday, Mar. 8, 2022 [Chemistry] --- Part 1
This is a Wolfram Physics Project working session on chemistry in the Wolfram Model. Part 02: https://youtu.be/mmczXsjd0zI Originally livestreamed at: [https://twitch.tv/stephen_wolfram] Stay up-to-date on this project by visiting our website: [http://wolfr.am/physics] Check out th
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Investigating the Periodic Table with Experiments - with Peter Wothers
We celebrate 150 years of the Periodic Table and Mendeleev's genius by braving the elements from Argon to Zinc in this demonstration filled show. Subscribe for regular science videos: http://bit.ly/RiSubscRibe You can pre-order Peter's book "Antimony, Gold, and Jupiter's Wolf: How the ele
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Chemical Reactions (8 of 11) Stoichiometry: Moles to Grams
Shows how to use stoichiometry to determine the number of grams of the reactants and products if you are given the number of moles of one substances in the chemical equation. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another.
From playlist Chemical Reactions and Stoichiometry