In this program, the error values of the second derivative of the function `e^x*cos(x)` are calcluated by using 3 different methods. These methods are central differencing, skewed forward and skewed backward methods. The approximation considered for all these methods are fourth order as given in the problem statement.…

Solving 2D Steady and Unsteady Heat Conduction equation using Matlab Problem statement: To solve 2D  Heat Conduction equation in steady state and unsteady state. Theory: Steady state analysis The 2D heat conduction equation is steady state is given by: `(Delta^2T)/(Deltax^2)+(Delta^2T)/(Deltay^2)=0`` In the above…

Aim: To perform the numerical simulations of isentropic flow through quasi 1-dimensional subsonic-supersonic nozzle flow in both conservation form and non-conservation form. Theory:  A nozzle is a device which is used to alter or control the characteristics of a fluid as it exits from the outlet. Below is the image…

Aim: To simulate external flow over Ahmed body and evaluate drag and lift co-efficients along with velocity and pressure contours. Theory: One of the major concerns in automobile industry is the pollution caused. This can be material wastage, emissions, etc. Collectively, all different kinds of pollutions from automobiles…

Problem Statement: To simulate backward facing step geometry in openfoam The given conditions for the problem are that the flow is incompressible, laminar and viscous and transient simulation is to be performed. Steps Involved: Identify the appropriate solver for the given conditions. Change the blockMeshDict file as per…

Aim: To simulate laminar flow through a pipe using openfoam. Problem Description: The flow inside a circular pipe induces power losses due to frictional losses arising from the viscosity of the fluid. The losses are also caused by velocity, surface roughness of the pipe, etc. In order to minimize these losses, one needs…

Aim: To perform Rayleigh-Taylor Simulation for -  Mesh size 0.5mm Mesh size 0.1mm User-defined material with mesh size 0.1mm and To describe some CFD models based on the mathematical analysis of Rayleigh-Taylor instability. To state the effects of variation in Atwood number on the behaviour of instability. Introduction:…

Aims of the study: To simulate conjugate heat transfer (CHT) analysis on Exhaust port. To maintain the y+ values according to the turbulence model and justify the results. To calculate wall heat transfer coefficient. To explain the velocity and temperature contours. To verify the results obtained from this simulation.…

Aim: To simulate conjugate heat transfer(CHT) on the model of a graphics card and hence to: Determine the maximum temperature and heat transfer co-efficient attained by the processor for the assumed value of thermal design power(TDP). Perform 3 different simulations by varying velocities and mesh size. Indicate the…

Objectives of this study: To  Derive mass flow rate values at the outlet for each design point. Calculate the flow co-efficient and flow factor for each opening and plot a graph of the same. Explain the observed results of mass flow rate and flow coefficient. 1. Introduction:  Gate values are mechanical devices…

Objectives: To Perform combustion simulation and explain the variation of different combustion species at different positions of the combustor model. Understand the effects of addition of water to fuel - water variation - 5% to 30% by mole fraction. 1. Introduction: Combustion is an exothermic process, where a fuel…

Objective: To simulate and understand the necessary requirements to arrive at an optimal separator efficiency by considering different flow/particle velocities and different particle diameters.   1. Introduction: Cyclone separators are used to get rid of bigger particles in flue gases. These are used to remove particles…

Aim: To calculate Adiabatic Flame Temperature using Python and Cantera for the below mentioned cases AFT variation with Equivalence ratio - in constant volume chamber AFT variation with Heat loss - in constant pressure chamber AFT variation with the type of fuel - Alkane, Alkene and Alkyne AFT variation with the type of…

Aim: To Explain the effect of Pre-heating of oxidizer on AFT. Explain how combustion efficiency increases as a function of pre-heating temperature 1. Introduction: After combustion process, exhaust gases will be at high temperatures. This energy can be utilized by using a device called Recupeator. While the hot exhaust…

Aim: To solve a system of non-linear equations using Multivariate Newton Rhapson method 1. Introduction: To find the derivative of a single variable, Newton Rhapson method can be used. It can be either explicit or implicit. Explicit method tends to be a bit unstable, if proper time step size is not given. So, for…

Aim:To simulate Auto-ignition time for methane using Cantera for different conditions mentioned below -  Variation of Auto Ignition time of Methane with a constant temperature of 1250K and pressure varying from 1 to 5 atm Variation of Auto Ignition time of Methane…

Aim: To perform Reaction Mechanism Reduction for GRI3.0 mechanism using Cantera(python) 1. Introduction: A chemical reaction undergoes a series of intermediate reactions before reaching equilibrium. These intermediate reactions combined together form a Reaction Mechanism. Every intermediate reaction is important.…

Aim: To simulate flow through a Channel for mesh sizes -  dx = 2e-4m,  dy = 2e-4m, dz = 2e-4m dx = 1.5e-4m, dy = 1.5e-4m, dz = 1.5e-4m dx =  1.0e-4m,  dy = 1.0e-4m, dz = 1.0e-4m and To explain the flow development. 1. Introduction: In this study, flow of air  through a duct driven by pressure…

Aim: To simulate flow over a backward facing step for mesh sizes -  dx = dy = dz =2e-3 m dx = dy = dz =1.5e-3 m dx = dy = dz =1.0e-3 m 1. Introduction: Study of flow over Backward Facing Step(BFS) is important to understand the features of a separated flow. Separation of flow occurs in so many applications such as…

Aim: To simulate Prandtl-Meyer shock using CONVERGE CFD 1. Introduction: In Prandtl-Meyer shock problem, a supersonic flow is expands around a sharp corner. The shrap corner can be seen in the geometry just after the inlet.  Source: CFD: The basics with applications - John.D.Anderson Once the shock reaches the sharp…

Aim: To perform flow simulation over MH-78 airfoil using CONVERGE CFD for different Angle of Attacks. 1. Introduction: Airfoils are 2D surfaces which are used to construct lift generating components such as wings, turbine blades, etc. The shape of airfoil results in lift and drag generation. It works on 3 priniciples -…

Aim: To simulate air flow over Ahmed body using CONVERGE CFD 1. Introduction: One of the major concerns in automobile industry is the pollution caused. This can be material wastage, emissions, etc. Collectively, all different kinds of pollutions from automobiles contribute towards global warming and many other ill effects.…

Aim: To simulate air flow over an FSAE car and determine the downforce and drag acting on each component for a given velocity. 1. Introduction: The objective of this study is to understand which components contrubute towards downforce and overall drag.  When it comes to drag, there are 3 types - form drag, skin friction…