Aim :-  Describing the need for Interpolation Schemes and Flux Limiters in FVM. Interpolation Schemes - Interpolation is a method of estimation of values of a unknown point by using values from two known points.      Types of Interpolation Schemes : Upwind Interpolation Schemes (UDS) Central…

Symmetry vs Wedge vs HP equation Objective : To write a MATLAB/Octave code for symmetry boundary conditions of flow through pipe. To obtain results at 10,25 and 45 degree angles of pipe flow. To compare results of wedge boundary conditions with symmetry boundary conditions. Theory : The inputs to the problem are same as…

Title :- Simulation of a 1D Super-sonic nozzle flow simulation using Macormack Method Objective :- To write seperates programs in MATLAB/Octave for conservative and non-conservative forms of governing equations for 1D nozzle flow. Compare the mass flow rate between conservative and non-conservative forms. Finding which…

Gate Valve Parametric Study Objective : For this challenge, you will have to perform a parametric study on the gate valve simulation by setting the opening from 10 % to 80%.  Obtain the mass flow rates at the outlet for each design point. Calculate the flow coefficient and flow factor for each opening and plot the…

Mixing efficiency in Tee Joint using Ansys Fluent Introduction - A tee joint is structure of pipes with multiple inlets and outlets used for mixing of fluids with different physical parameters. In this case there are two inlets, perpendicular to each other. The outlet is oriented in y direction. The geometry of given tee…

Fourth Order Approximations of Second order derivations: `(d^2f)/dx^2` is the derivative to be descritized. 1. Central Differencing -  For function \'f(i)\' if we define stencil we would get the terms, f(i-2),f(i+2) and f(i-1),f(i+1) at distance 2dx and dx respectively in both directions, by Taylor\'s expansion. `(d^2f)/dx^2…

Objective - To solve 2D heat conduction equation using different iterative methods. Heat conduction equation in 3D form: `(del T)/(del t) + alpha.((del^2t)/(del x^2)+(del^2t)/(del y^2)+(del^2t)/(del z^2))=0` Heat conduction equation in 2D form; `(del T)/(del t) + alpha.((del^2t)/(del x^2)+(del^2t)/(del y^2))=0` 1. Steady…

Objective : Using the icoFOAM solver to simulate the flow through a backward facing step. Creating multiple meshes and comparing results. Theory : A backward facing step is generated using OpenFOAM as per the given dimesnsional specifications. Mesh Specification : 1. Number of cells in x-direction = 200 2. Number…

  Ahmed Body Challenge Ahmed Body : The Ahmed body was described originally by S. R. Ahmed in 1984. The Ahmed body represents a simplified, ground vehicle geometry of a bluff body type. Its shape is simple enough to allow for accurate flow simulation but retains some important practical features relevant to automobile…

Simulation of Flow through a pipe in OpenFoam Objective :  Write a program in Matlab that can generate the computational mesh automatically for any wedge angle and grading schemes. To calculate length of the pipe, using entry length formula. Compare velocity profiles at different locations. To post process velocity…

Cyclone Separator Challenge Objectives : Perform an analysis of the given cyclone separator model by varying the particle diameter from 1 µm to 10 µm and calculate the separation efficiency in each case. Discuss the results. [Use both the velocity\'s as 3m/sec] Calculate the separation efficiency and pressure…

Project 1- Conjugate Heat Transfer Analysis on a graphics card. Objectives : 1. Find out the maximum temperature attained by the processor. 2. Prove that the simulation has achieved convergence with appropriate images and plots. 3. Find out the heat transfer coefficient at appropriate areas of the model. 4. Identify potential…

Exhaust Port Challenge Objective : To perform CHT analysis for two cases with different mesh sizes. Verifying the values of heat transfer coefficient for both cases. Introduction : What is CHT Analysis ? The analysis of heat transfer of solid and liquid domains by exchange of thermal energy at the interfaces between them.…

Rayleigh Taylor Instability Challenge Q1. What are some practical CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves? In your own words, explain how these mathematical models have been adapted for CFD calculations . The Rayleigh–Taylor instability, or RT instability, is…

Challenge on Combustion Objectives : To perform a combustion simulation on the combustor model and plot the variation of the mass fraction of the different species’ in the simulation using line probes at different locations of the combustor. To plot for CO2, H2O, CH4, N2, O2, NOx emissions & Soot formation. To…

Independent Research Project :  Comparative Study of Different Grid Shapes for Aerofoil Analysis. Objective : Develop C-grid, O-grid and rectangular grid to simulate Aerofoil analysis. Calculate the value of Cl and Cd at different angle of attacks for same Reynolds number. Compare results for different grids.   Introduction…

Channel flow simulation using CONVERGE CFD Objectives : To run 3 simulations for 2D Channel flow proble and compare the results between all the 3 simulations for 3 different base mesh sizes.  dx = 2e-4m,              dy = 2e-4m,       dz = 2e-4m;  dx = 1.5e-4m, …

Adiabatic Flame Temperature Calculation Aim :  Plotting the effect of equivalence ratio on Adiabatic Flame Temperature of Methane in a constant volume chamber with N2 present. Calculate Adiabatic Flame Temperature with varying heat loss. Calculate Adiabatic flame temperature variation with respect to Alkane,…

Week 4.1- Handling Mixtures with Cantera Aim : To run the sample code and test different functions to answer the questions. Sample Code :   Q1. Use the "moles" method/function of the A object and explain how it was calculated. You need to use this after line number 9. Ans : In the physical sciences, some…

Combustion Efficiency Calculation after Preheating Aim : the effects of preheating on the adiabatic flame temperature. To find out if preheating helps with fuel saving. To find out how combustion efficiency goes up as a function of pre-heating temperature. To plot the effects of pre-heating on combustion efficiency.  …

Aim : To derive the reaction rate ODEs of a simple reaction mechanism. Use compact notation and write down desired matrices. Theory : The given reactions are as follows: CO + O2 ⇌  CO2 + O O + H2o ⇌  OH + OH CO + OH ⇌  CO2 + H H + O2    ⇌  OH + O There are total 4 reactions so let us name…

Literature review: ODE Stability Aim : To do a literature review of ODE stability. To answer the questions based on literature review. Questions: When does a ODE become unstable? How does stability affect engineering simulations? Can stability condition be derived for all types of problems?   Introduction : ODE - In mathematics,…

Multivariate Newton Rhapson Solver Aim : Solving the given equations using multivariate Newton Raphson method with implicit or Backward Differencing scheme. Explain the ideal step size for this case.   Theory : Equations we have to solve are given as follows: `(dy_1/dt) = -0.04*y_1 + 10^4*y_2*y_3` `(dy_2/dt) = 0.04*y_1-10^4*y_2*y_3-3.10^7*y_2^2`…

Auto Ignition using Cantera Aim : Calculate auto ignition delay for methane using Cantera. Plot the variation of Auto Ignition time of Methane with a constant temperature of 1250K and pressure varying from 1 to 5 atm. Plot the variation of Auto Ignition time of Methane…

Aim : To write a code that takes all the reactions from the GRI mechanism and calculates 10 most sensitive reactions. To show the reaction strings in the order of greatest sensitivity to the least sensitivity. To plot a graph of sensitivities vs the reactions. To plot a graph of concentrations of species…