Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method

  CFD Meshing on Turbo Charger Aim: For the given Turbo charger model, check for the geometrical errors to make appropriate volumes. Create and assign PIDs. Perform surface mesh with the given target lengths as per PIDs. Blade stage-1 = 1 mm Blade stage-2 = 1 mm Impeller = 2 mm Shaft rotor = 1 mm Turbo casing = 5…

  Surface Meshing on Pressure Valve Aim: Check for geometrical errors and perform Topology cleanup for the given model and set three different target lengths as three cases and mesh the model. Target Length = 1mm, 3mm, 5mm Element Type = Tria   Steps involved: 1.      Import the Geometry…

  CHT Analysis on Graphics card Aim Perform a steady-state conjugate heat transfer analysis on a model of a graphics card. Objective Run the simulation by varying the velocity from 1m/sec to 5m/sec for at least 3 velocities and discuss the results. Find out the maximum temperature and heat transfer coefficient attained…

  Rayleigh Taylor Instability Aim: Simulation of Rayleigh Taylor instability waves using Ansys Fluent. Objective: 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.…

  CHT Analysis on exhaust port Aim: Simulation of Conjugate Heat Transfer Analysis on Exhaust port using Ansys-Fluent. Objective: Briefly describe why and where a CHT analysis is used. Maintain the y+ value according to the turbulence model and justify the results.  Calculate the wall/surface heat transfer coefficient…

  External flow over an Ahmed body Aim: Simulating external flow over an Ahmed body to calculate lift and drag forces. Problem Statement: Run the simulation for the velocity of 25 m/sec with the default air properties in fluent. Describe Ahmed's body and its importance. Explain the reason for the negative pressure…

  Flow over a Cylinder   Aim: Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street.    Objective: PART-I Simulate the flow with the steady and unsteady case and calculate the Strouhal Number for Re= 100.  PART-II Calculate the coefficient of drag and lift over a…

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Simulation of a 1D Supersonic nozzle flow simulation using Maccormack Method   Aim  Simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle using MacCormak’s technique and get the following plots. Steady-state distribution of primitive variables inside the nozzle. Time-wise variation…

Validation studies of Symmetry BC vs Wedge BC in OpenFOAM vs Analytical H.P Equation.  Aim:  Simulate an axi-symmetric flow by applying the wedge and Symmetry boundary condition in OpenFoam for different angles and write a code in Matlab to automate the generation of blockMeshDict file. Validate Hydro-dynamic…

Simulation of Flow through a Pipe in OpenFoam  Aim: Simulate an axi-symmetric flow by applying the wedge boundary condition in OpenFoam and write a code in Matlab to automate the generation of blockMeshDict file. Validate Hydro-dynamic length with numerical result. Validate the fully developed flow velocity profile…

Simulation of Backward facing step using OpenFOAM Aim Simulating an incompressible-laminar-viscous flow through the backward facing step geometry and performing a transient simulation. Case 1 - Simulating the flow without using any grading factor (i.e., GF = 1) Case 2 - Simulating the flow with grading factor…

Aim: Describe What is Finite Volume Method(FVM) write down the major differences between FDM & FVM. Describe the need for interpolation schemes and flux limiters in FVM using the 1D linear heat conduction equation as an example. Finite Volume Method: The Finite Volume Method (FVM) is a numerical method used to solve…

Solving the Steady and unsteady 2D heat conduction problem Aim: Solving the steady state and transient state 2D heat conduction problem using iterative techniques such as Jacobi, Gauss-seidel and Successive over-relaxation. Problem Statement Assuming the computational area as Square. Assume nx=ny=10, which is number of…

Deriving 4th order approximation of a 2nd order derivative using Taylor Table method Aim: Deriving the following 4th order approximations of the 2nd-order derivative and prove that the skewed schemes are 4th order accurate. Central Difference Skewed right-sided difference Skewed left-sided difference Also writing a program…

function W = Molecular_weight(species) % Defining Atomic name of the species atomic_name = ['H','C','O','N','Ar']; % defining atomic masses of main species atomic_weight =[1.008 12.011 15.999 14.007 39.948]; W=0; % Molecular weight starting range for i=1:length(species) % loop runs to the length of the species for j=1:length(atomic_name)…

clear all close all clc % Defining our search engine X = linspace(0, 0.6, 150); Y = linspace(0, 0.6, 150); num_spaces=50; % No of iteration for which the function will evaluate the fitness % Creating a 2D mesh [XX,YY] = meshgrid(X, Y); % Evaluating the stalgamite function for i = 1:length(XX) for j = 1:length(YY) input_vector(1)…

clear all close all clc % input values b=0.05 g=9.81 m=1 l=1 % initial condition % initial displacement = 0 % angular velocity = 3 at theta=0 theta_0 = [0; 3] % time points % time period = 0 to 20 seconds t_span = linspace(0, 20, 500); % solve ODE % Matlab code for ode function created [t, results]= ode45(@(t, theta) ode_func(t,…

clear all close all clc % inputs L1 = 1 L2 = 0.5 % generating 10 values for theta1 and theta2 using linspace command theta1 = linspace(0, 90, 10); theta2 = linspace (0, 90, 10); ct = 1 % creating for loop to continuously move the robotic arm for i = 1:length(theta1) THETA1 = theta1(i) for j = 1:length(theta2) THETA2 =…