Momentum Conservation Equation in Physics of Combustion - Lecture 14, Study notes of Sustainability Management

Download Momentum Conservation Equation in Physics of Combustion - Lecture 14 and more Study notes Sustainability Management in PDF only on Docsity! Objectives_template file:///D|/Web%20Course/Dr.%20D.P.%20Mishra/Local%20Server/FOC/lecture14/14_1.htm[10/5/2012 11:41:18 AM] Module 3: Physics of Combustion Lecture 14: Momentum conservation equation The Lecture Contains: Momentum conservation equation Species transport equation Objectives_template file:///D|/Web%20Course/Dr.%20D.P.%20Mishra/Local%20Server/FOC/lecture14/12_2a.htm[10/5/2012 11:41:18 AM] Module 3: Physics of Combustion Lecture 14: Momentum conservation equation Momentum conservation equation Objectives_template file:///D|/Web%20Course/Dr.%20D.P.%20Mishra/Local%20Server/FOC/lecture14/14_4.htm[10/5/2012 11:41:18 AM] Module 3: Physics of Combustion Lecture 14: Momentum conservation equation Momentum equation for fluid element in x-direction = where, , are components of mass velocity vector in x and y direction and are surface stresses Applying Stokes viscosity law, the surface stresses are given by Momentum equation for fluid element in x-direction = Momentum equation for fluid element in y-direction = Objectives_template file:///D|/Web%20Course/Dr.%20D.P.%20Mishra/Local%20Server/FOC/lecture14/14_5.htm[10/5/2012 11:41:18 AM] Module 3: Physics of Combustion Lecture 14: Momentum conservation equation Species transport equation Rate of accumulation in fluid element= Objectives_template file:///D|/Web%20Course/Dr.%20D.P.%20Mishra/Local%20Server/FOC/lecture14/14_6.htm[10/5/2012 11:41:18 AM] Module 3: Physics of Combustion Lecture 14: Momentum conservation equation Rate of accumulation in fluid element= Rate of mass of species A into fluid element across face A = By Taylor's series expansion, the rate of mass of species A leaving fluid element across face B = Net efflux in x direction = Net efflux in y direction = Mass production rate of ith species due to chemical reaction = According to Fick's law, Species transport equation is given by,