Objective -  Derive the following 4th order approximations of the second-order derivative.  1. Central difference 2. Skewed right-sided difference 3. Skewed left-sided difference Once you have done this, write a program in Matlab to evaluate the second-order derivative of the analytical function exp(x)*cos(x) and…

Objective - 1. Steady state analysis & Transient State Analysis Solve the 2D heat conduction equation by using the point iterative techniques that were taught in the class. The Boundary conditions for the problem are as follows; Top Boundary = 600 K Bottom Boundary = 900 K Left Boundary = 400 K Right Boundary = 800…

QUES- In this challenge you are going to simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle. You will derive both the conservation and non-conservation forms of the governing equations and sovle them using the MacCormack's technique. You need to determine the steady-state temperature distribution…

QUES- In this challenge, you are going to simulate an incompressible-laminar-viscous flow through the backward facing step geometry. You should perform a transient simulation. The solver can be chosen based on the described physics of the flow. You need to explain the entire simulation procedure (how you set up the…

Questions - What is Finite Volume Method(FVM)? Write down the major differences between FDM & FVM? Need for interpolation schemes and flux limiters in FVM? Finite Volume Method- It is method for representing & evaluating PDE's in the form of algebraic equations.In FVM, the volume integral in PDE that contains divergernce…

Simulation an axi-symmetric flow by applying the wedge boundary condition. The flow is laminar and flows through a constant cross-section pipe at an inlet Reynold's number of 2100.Using a transient state simulation and validating that with Hagen- Poiseuille's equations for the fully developed flow. Objective - Write…

Objective -  Perform simulation for the below mentioned angles using both symmetry and wedge boundary conditions and validate them with HP equations like you did in week 11 challenge. Angles to test: `10^o` `25^o` `45^o` Expected Results Validate Hydro-dynamic length with the numerical result Validate the fully developed…

Aim- to set up steady-state simulations to compare the mixing effectiveness when hot inlet temperature is 360C & the Cold inlet is at 190 Use the k-epsilon and k-omega SST model for the first case and based on your judgment use the more suitable model for further cases Simulate each case for given velocity and momentum…

Aim To simulate flow over a cylinder and explain Karman’s vortex street. To understand vortex shedding for different Reynolds number by changing the inlet velocities accordingly. To create a monitor point behind the cylinder at a distance of 4 times the diameter of cylinder from which we can calculate and analyze…

Aim – To simulate Conjugate Heat Transfer Analysis on exhaust port using Ansys Fluent. Objective – Brief description on where and why CHT analysis is used? Justify results by maintaining appropriate y+ value for turbulence model. Calculate Wall HTC and Surface HTC on inner and on surface of solid part exhaust…

Aim – To simulate external flow over an Ahmed body using steady-state, density-based solver and performing grid independency test respectively. Objective – Briefing about Ahmed’s body and its significance Explain the reason for the negative pressure in the wake region. Explain the significance of the…

Aim – To study the concept of Rayleigh Taylor Instability and its practical CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves. To study Rayleigh Taylor Instability simulation for 2 different mesh sizes in addition to baseline and compare the results. To study the effect of Atwood…

Aim- CFD analysis is conducted on Cyclone separator based on two cases and Ansys fluent is used for setting up the physics of the problem. Results are validated for the separation efficiency obtained for each sub-case. Cases – To perform an analysis on a given cyclone separator model by varying the particle diameter…

Aim – To perform a steady-state conjugate heat transfer analysis on a model of a graphic card. To run the simulation for best possible mesh with the combination of coarse and refined mesh quality in different region. Objective – Run the simulation by varying the velocity from 1m/sec to 5 m/sec for at least…

Aim – Combustion simulation of natural gas inside a burner using Ansys Fluent Objective – To study combustion phenomena for the whole domain. To study Eddy dissipation model. To study the reduction behavior of NOx emission and Soot formation inside the burner. To pre-process the geometry for the simulation.…

Aim – To perform a parametric study on the gate valve by setting a simulation of varying the opening from 10% to 80% of total depth of opening. Objective – Obtain mass flow rate at outlets for each design opening. Calculate the flow coefficient and flow factor for each opening and plot graphs. Discuss the results…

Objective -  Create an OpenFoam solver from an existing solver icoFoam by adding passive scalar transport equation. Check the compiled solver to test cavity case and analysis the results.  Theory -  Introduction: icoFoam is transient solver for incompressible and laminar flows. It solves the Navier-Stokes…

Refer to the attached Files

Find the codes and documents with its results in the attached files