Calculate higher order approximation using symmetric and skewed stencils by Taylor s table

Objectives: Apply Reynold’s decomposition to the Navier's Stoke equations and come up with the expression for Reynold’s stress. Explain Reynold’s stress. Turbulent viscosity and it's difference from molecular viscosity. Turbulence: In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic…

Objective: To Setup a transient shock tube simulation. To Plot the pressure and temperature history in the entire domain. To Plot the cell count as a function of time . Introduction: Shock tube: The shock tube is a simple duct closed at both end.It consists of two compartments called as driver (high pressure) & driven…

Aim: To setup the case and perform conjugate heat transfer simulation for flow through the pipe using converge. Objective: Inlet reynolds number is equal to 7000. Run grid dependence test on 3 grids and show that the outlet temperature converges to a particular value. Set supercyle stage interval to 0.01,0.02 and 0.03…

Objective: To do a literature review on various boundary conditions and shock waves. To perform Prandtl Meyer Shock problem using Converge Studio software and make a comparative study for different SGS(Sub-Grid Scale) 0.01, 0.05, 0.07. Effect of SGS parameter on shock location. Boundary Conditions          …

Aim: To run Transient state simulation for  the flow over a throttle body using converge. Objectives: Post process the results and show pressure and velocity contours. Show the mesh (i.e surface with edges). Show the plots for pressure, velocity, mass flow rate and total cell count. Introduction: The throttle body…

Aim: To run Steady state simulation for  the flow over a throttle body using converge. Objectives: Post process the results and show pressure and velocity contours. Show the mesh (i.e surface with edges). Show the plots for pressure, velocity, mass flow rate and total cell count. Introduction: The throttle body is…

Aim: To Simulate the flow over a backward facing step using converge. Objectives: To run the case for three different mesh grid                      dx = dy = dz =2e-3m                    …

Objective: To simulate channel flow using converge CFD. Case Setup: 1) A geometry for the channel flow is created using converge studio. 2) The necessary boundary conditions are defined. 3)The necessary steps are then followed in setting up the case where materials, simulation parameters, initial conditions, physical models…

Aim: To perform a parametric study on gate valve by setting the opening from 10% to 80%. Objectives: To obtain the mass flow rates at the outlet for each design point. To calculate the flow coefficient and flow factor for each opening and plot the graph. Discuss the results of the mass flow rate and flow coefficient. Introduction:…

Objective: To perform a simulation of natural gas in a combustor model and plot the mass fraction of different species . To find: Perform a combustion simulation on the combustor model and plot the variation of the mass fraction of CO2, H2O, CH4, N2, O2, NOx emissions & Soot formation.  To add the water content…

Aim:    To perform anaysis on Cyclone Separator and calculate the separation efficieny and pressure drop. Objectives: To explain about the four empirical methods used to calculate the cylone separator efficiency. To perform analysis on  cyclone separator by varying the particle diameter from 1`mu`m to 5…

Objectives: Practical CFD models and calculations that are based on the mathematical analysis of Rayleigh Taylor waves . To perform the Rayleigh Taylor instability simulation for 2 different mesh sizes with the base mesh being 0.5 mm and compare the results . To perform simulation with water and user defined material for…

Objective: To write a code to calculate the most sensitive rections among all reactions from GRI mechanism considering the sensitivity parameter as Temperature. Introduction: 1.Sensitivity Analysis: Sensitivity analysis is a process to get the relationship between the parameters and output of a model.The main aim is to…

Objective:    To simulate the Auto Ignition Time for Methane under the following condition Part I In a reactor simulate the Auto Ignition time of Methane with a constant temperature of 1250K and pressure varying from 1 to 5 atm. In a reactor simulate the Auto Ignition time of Methane with a constant pressure…

Objective:          To derive the reaction rate ODE\'s for a simple reaction mechanism and to use the compact notation to represent the desired matrices. Given:  Reaction Mechanism: `CO+O_2 harr CO_2+O` `O+H_2O harr OH+OH` `CO+OH harr CO_2+H` `H+O_2 harr OH+O` Chemical Kinetics:…

Objective:           To calculate the combustion efficiency of a recuperator after preheating the air  using cantera. To calculate:  To find the effect of preheating on adiabatic flame temperature by increasing the temperature from 298 to 600 K. Formula for combustion…

Objective:          To obtain the right value of Adiabatic Flame Temperature(AFT) by calculating the right number of moles performing the mixture calculations using the \'Quantity\' class in cantera. To find: Moles method of object A as A.moles and explain the calculation involved.…

Objectives: To calculate the effect of the equivalence ratio on adiabatic flame temperature for methane in a constant volume chamber. To calculate the AFT for methane with a heat loss of 0.35 for a constant pressure reactor. To calculate AFT for the -ane,-ene,-yne variants of 2 carbon atom chain and plot the results. For…

Finite volume method: Finite volume method is based on the approximation of integral form of the conservative equations. The domain is divided into a set of control volumes , the governing equations are solved for each of these control volumes. FVM is suitable for complex geometries and it can accomodate any type of grids…

Aim: The aim of the project is to simulate the incompresible laminar flow through a pipe using openfoam. Objectives: To generate the computational mesh for any wedge angle and grading schemes automatically in octave. Wedge angle must be less than 5 degrees. Velocity profile must match with the Hagen poiseuille''s equation.…

Objectives:  To derive the fourth order approximation for the second order derivative by symmetric and skewed stencils. Central differencing Skewed left side differencing. skewed right side differencing. Central differencing:  Central differencing  approximation is calculated for the central node by calculating…

Objective: To simulate the flow through a backward facing step using icoFoam solver for different meshes and compare the results. Mesh specification: Number of cells along the x-direction=200 Number of cells along the y-direction=10 Grading factor near the walls=0.2 Steps involved in the simulation: Using the terminal…

Objective: To solve the 1D Supersonic nozzle flow using Macromack method by implementing conservative and non conservative form of  governing equations using program. 1.Introduction about Nozzle: Nozzle is a tube or pipe of varying cross sectional area which is used to direct or modify the flow of fluid.Nozzles are…

Objective: To solve the 2D heat conduction equation by using the point iterative techniques such as Jacobi method Gauss seidel method Successive over relaxation Assumptions: The domain is unit square. Nx=Ny Left - 400K Right - 800K Top -600K Bottom-900K Absolute error - 1e-4 2D Heat conduction equation: Transient equation:…

Objective:  To solve the One dimensional linear convection equation numerically by the numerical schemes using program. 1D Linear convection Equation: `(du)/dt+c(du)/dx=0` The above equation is a partial differential equation. `(du)/dt` - Time derivative term `(du)/dx`- Convective term  `u_i^(n+1) =u_i^n - c(Deltat)/(Deltax)…

Objectives: To compute the first,second and fourth order approximations for a range of dx values and plot the error vs dx. Given:  To compute the numerical approximations of the function f(x) =`sinx/x^3` at x = pi/3 for the range of dx values. The numerical derivatives can be computed with the help of taylor's series…