Taylor Table Method and Matlab Code

AIM:  To understand the stability of an ODE and its effect on engineering simulation. Ordinary Differential Equation: It contains derivatives of one or more functions of an Independent variable. We need to determine the  function or set of functions that satisfy the equation to solve an ODE. When does a ODE become…

AIM: Derive the compact Notation of simple Mechanism. Reaction Mechanism:  In chemical kinetics, we use measurement of the macroscopic properties like,rate of change in the concentration of reactants or products with time, to discover the sequence of events that occur at the molecular level during a reaction. This…

AIM To calculate the combustion efficiency after Preheating. OBJECTIVES  Find the effect of the range of inlet air preheating from 298k to 600k on the adiabatic flame temperature.  Find the effect of pre-heating temperature on combustion efficiency.  Theory A Recuperator is often used in power engineering…

AIM  To work on the quantity class of the Cantera to create various mixtures. Objective  Perform calculation of the adiabatic flame temperature of a gas mixture using quantity class.   1) Use the "moles" method/function of the A object(air) and explain how it was calculated. Now consider any hydrocarbon…

AIM: To calculate the Adiabatic Flame Temperature. OBJECTIVES: 1) Plot the effect of equivalence ratio on the final adiabatic flame temperature and further compare the results with Cantera. 2) Find out the Adiabatic Flame Temperature of Methane Air Combustion in constant pressure with heat loss. 3) To examine the Adiabatic…

OBJECTIVES: 1) To Perform a combustion simulation on the combustor model and plot the variation of the mass fraction of the different species’ in the simulation and also plot for CO2, H2O, CH4, N2, O2, NOx emissions & Soot formation.  2) To Observe the effect of adding the water content in the fuel.…

AIM Parametric study on the Gate Valve. OBJECTIVES To understand the parametric study and perform simulation on the gate valve 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 graph. Discuss…

Aim:- To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop.   Objective: To study different empirical models used to calculate the cyclone separator efficiency.  To perform an analysis on the cyclone separator model and understanding its working. To understand…

AIM Conjugate Heat transfer analysis on a graphic card model. OBJECTIVES 1) To Perform a steady-state conjugate heat transfer analysis on a model of a graphics card. 2) To understand the mesh effect in the different regions using a coarse and fine mesh. 3) To understand the effect of velocity on the graphic card model…

OBJECTIVES 1) To understand Rayleigh Taylor Instability and some CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves. 2) To perform the Rayleigh Taylor Instability simulation for different mesh sizes and compare them. 3) To Find out the effect of Atwood number variation on Rayleigh Taylor…

OBJECTIVES 1. Discuss why Conjugate heat transfer is used!. 2. To simulate the Exhaust Port in fluent with maintaining the y+ value according to the turbulence model. 3. Calculate the wall heat transfer coefficient on the internal solid surface & show the velocity & temperature contours in appropriate areas.…

 Objective 1) Significance and importance of the Ahmed body. 2) To simulate the Ahmed body and calculate the coefficient of drag and lift also perform the grid dependence test.   Introduction Two distinct regions created when the air tends to curl downwards at the rear of the vehicle. (i) High pressure under…

OBJECTIVE:  To analyze the mixing effectiveness of the mixing tee (Like pipe who has two Inlet and one Outlet) using different momentum ratios and different lengths. a) Find out Velocity and temperature contour plots along and across the pipe. b) Find out Velocity and temperature line plots along and across the length…

There are three numerical methods based on solver to solve the governing equation (Navier stokes equation) in Computational fluid dynamics. Basically, we already discuss the finite difference method and here we discuss the finite volume method and the third one is a finite element method. Finite Volume  Method: The…

OBJECTIVE:  1) To develop a MatLab program that can generate the computational mesh automatically (in OpenFoam) for given angles using a symmetry boundary condition. 2) To simulate the flow through the pipe in OpenFOAM using icoFoam solver and post-process the result in paraFoam. 3) Compare the results obtained from…

Objective:  1) To develop a MatLab program that can generate the computational mesh automatically (in OpenFoam) for any wedge angle and grading schemes. 2) Calculate the length of the pipe and show that entry length is sufficient to produce a fully developed flow. 3) Create a velocity profile using icoFoam solver…

OBJECTIVE To simulate the flow through a backward-facing step using OpenFOAM ( icoFoam solver) and compare the velocity magnitude contours for the mesh grading factor of 0,0.2,0.5,0.8. Given Geometry with Boundry Condition: We are using the icoFoam solver to generate a backward-facing step which is a transient solver for…

ObJECTIVE Numerical Simulation of Quasi 1D Supersonic Nozzle flow using Macormack Method implementing both the conservative and non-conservative forms of the governing equations & perform the grid dependence test. Conservative flow & Non-conservative flow Conservative and non-conservative form of flow are mathematically…

1) Steady-state analysis  To start the steady-state analysis, first, we make some assumptions: a) No convection  b) No internal heat generation  c) No change of temperature gradient (i.e. `frac{dT}{dt)=0`) so the general energy equation in 2D as, `frac{del^2T}{delx^2}+frac{del^2T}{dely^2}=0` Because…

1) Central Difference  `frac{del^2f}{delx^2}` ~= `af_(i-2) + bf_(i-1) +cf_i +df_(i+1) +ef_(i+2)` In the central difference we solve the 2nd order derivative using taylor series method. we take (i-2, i-1, i, i+1, i+2) itterations to create a taylor table for simplifying our solution. * Write the 2nd order derivative…