Fourth Order Approximation of Second Order Derivative using Central Differencing  We will derive the fourth order approximation for second order derivative using a taylors table method: The fourth order approximation uses four point nearby the point where we have to find the derivative , it can be seen in the following…

Steady and Unsteady State 2D Heat Conduction We will write a code for the steady and unsteay state 2D heat conduction  First consider the steady state heat conduction using implicit method : The code for the steady state implicit method is given below in the form of a function Here in this function we have three inputs…

Simulation of 1D supersonic nozzel flow using Macormack method Objectives:1. Steady-state distribution of premitive variable inside the nozzel.2. Time-wise distribution of premitive variables.3. Variation of mass flow rate distribution inside the nozzel at different time steps during the time marching process.4. Comparison…

Simulation of Backward Facing Step in OpenFoam: In this Challenge we are going to simulate an laminar-incompressible-viscous flow through a backward facing step geometry. For our Simulation we will use the tutorial problems given with the OpenFoam that uses laminar-incompressible-viscous flow. We can find this example…

FINITE VOLUME METHOD Finite Volume Method is the numerical method that solves a governing equation in its integral form, that mean the variable properties are conserved over a volume rather than a point as in case of Finite Difference Method. Finite Volume method(FVM) uses integral form of governing whereas the Finite…

In this challenge we have use a case of an axi-symmetric flow for a flow through pipe , we here have applied wedge boundary conditions. The laminar pipe flow has as value of Reynolds number as 2100. We will be doing a transient simuation here and validate our results with Hagen Poiseuille's equation for a fully developed…

In this challenge we will be simulating incompressible laminar pipe flow , for this simulation we will be using the axisymmetrical geometry with angle theta and wedge and symmetry boundary conditions for both the front and back faces as given below also different values of theta will be 10  25 45   Also we have…

AIM -  Simulation of turbulent and thermal flow through a Mixing Tee with various length. OBJECTIVE - To compare the effectiveness of the k-epsilon and k-omega SST model. To compare the effectiveness with changing the length of the Mixing Tee. To compare the effectiveness depending on the momentum ratio for inlet…

AIM : To simulate a flow over a cylinder and explain the phenomenon of Karman vortex street . OBJECTIVE : To simulate the flow over a cylinder with steady and unsteady cases and calculate the Strouhal number for Re = 100. To simulate the steady case for various Reynolds number and calculate the lift and drag coefficients.…

AIM - To simulate external flow over a simplified car model (Ahmed body) AHMED BODY - It is a generic car model that is used to study the external flow aerodynamics over a car. This model captures all the essential flow features around an automobile and was first defined and characterized in the experimental works of Ahmed…

AIM -  To learn where and why CHT analysis is used To check for porpoer y+ value according to the turbulance model used   To calculate the wall and surface heat transfer coefficient on the internal solid surface. To create the Required plots of velocity and temperature contour To check if the HTC value are…

AIM -  To understand different CFD models that are based on the mathematical analysis of Rayleigh-Taylor waves To perform Rayleigh-Taylor instability simulation for a 2D model using air and water as the material, then simulate again for a refine mesh and finally change the materials to water and a user defined material…

AIM -  To perform Conjugate Heat Transfer analysis on a graphics card. OBJECTIVES -  To select appropiate materials of the various parts of the graphic card for the simulation. To create a combination of coarse and fine mesh in different regions  To perform the simulation for varying valocity of 1 m/s to…

Aim:-  To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop.   Objective:- To write a few words about any four empirical models used to calculate the cyclone separator efficiency.  To perform an analysis on a given cyclone separator model by varying the…

AIM -  To perform the parametric study on the gate valve simulation by setting various opening levels.   OBJECTIVE -  To perfrom the parametric study on the gate valve by setting the opening from 10% to 80% To obtain the mass flow rate at teh outlet for each parametric study. To calculate the flow cefficient…

AIM -  To perform simulation combustion of Natural gas. OBJECTIVE -  To perform combustion simulation of a combustor model and plot the mass fraction of different species. To perfrom analysis for the reduction of pollutants like NOx and soot by adding water in the fuel. SOLVING AND MODELING APPROACH  Create…

AIM -   To calculate the adiabatic flame temperature using python and cantera   OBJECTIVES -  To calculate the adiabatic flame temperature in a constant volume chamber with variation in rquivalence ratio. To calculate the flame temperature with variation in the heat loss To calcualte the adiabatic flame…

AIM - To understand Quantity Class in cantera and create various volume mixtures.   OBJECTIVE -  To use the "moles" method/function and calculate the number of moles for the air mixture. To use the mass_fracction_dict() to calculate the mass fraction of various components of the mixture. To use proper syntax…

AIM -  To learn the effect of preheating on the adiabatic flame temperature.   OBJECTIVE - To observe the effect of preheating on the Adiaabatic flame temperature. To observe the effect of preheating on the combustion efficiency. To observe teh effcet of preheating on fuel consumption.   INTRODUCTION - …

AIM - To apply compact notation derivation to a simle reaction mechanism.   OBJECTIVE - To find the net reaction rete for all the foru reaction using the reactant and product matrix and then find the production rate of each species using the matrix notation wrt the net reaction rates.   THEORY -  We will…

ODE STABILITY -  Stability for the ODEs can be defined as the error in the computation of ODEs getting minimised as more and more iterations and timestep are calculated. On the other hand for an unstable calcuation this error grows woth successive calculations. METHODS FOR SOLVING ODEs - There are generally two methods…

AIM - To incorporate multivariate newton raphson solver for a time marching problem   OBJECTIVE - To create the python code that solves for transient multivariate newton raphson method and see if the implicit euler method works for varirying time step values.   THEORY -  In transient multivariate newton…

AIM - To perfrom Zero-Dimensional Auto Ignition Using Cantera   OBJECTIVES -  To Simulate Auto ignition for methane with constant initial tempreature 1250K  and varying initial pressure form 1 atm to 5 atm conditions. To Simulate Auto Ignition for methane with constant initial pressure of 5 atm and varying…

AIM - Sensitivity analysis with respect to temerature for the auto ignition of methane. OBJECTIVE - To write a code that takes all the reaction from the GRI mechanism and calculates the 10 most sensitive reactions. The sensitivity parameter is with respect to the temperature but we will design the code in such a way the…

AIM - To run a channel flow simualtion using Converge CFD   OBJECTIVES -  To set up a channel flow simulation using Converge CFD. To run the case for 3 different mesh sizes and compare the results of the 3 simulations. To show the postporcessing results for all the 3 cases using velocity and contour plots; mesh(i.e…

AIM - Simulation of Flow over a backward facing step using converge.   OBJECTIVE - To run a simulation for a flow over a backward facing step.  To run cases for 3 different base meshes with sizing 2e-3 m, 1.5e-3 m, 1e-3 m.  and show the mesh generated in each case. To show the pressure and velocity contours.…

AIM - Steady State simualtion of a flow over a throttle body.   OBJECTIVE -  To setup and run a steady state simulation for flow over throttle body. To post process teh results and sow pressure and velocity contours. To show the mesh(i.e surface with edges) To show the plots for pressure, velocity, mass flow…

AIM - Transient simulation of flow over a throttle body.   OBJECTIVE -  Setup and run transient state simulation for flow over a throttle body. 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…

AIM - 1. To understand what is a shock wave. 2. To understand the what are the different boundary conditions used for a shock flow problems. 3. To understand the effect of SGS parameter on shock location. 4. To simulate Prandalt Meyer Shcok Wave.   OBJECTIVE -  Que 1. What is Shock Wave? A shock wave or shock,…

AIM - To set up a transient shock tube simulation Plot the pressure and temperature history in the entire domain Plot the cell count as a function of time    SHOCK TUBE- The shock tube is an instrument used to replicate and direct blast waves at a sensor or a model in order to simulate actual explosions…

AIM-  To simulate a Conjugate Heat Transfer flow through a pipe, while the inlet Reynolds number should be 7000. To run the grid independance test on 3 grids and show that the outlet temperature converges to a particular value To observe the effect of various supercycle stage interval on the total simulation time.…