Aim:-  Derive the following 4th order approximations of the second-order derivative.    1. Central difference 2. Skewed right-sided difference 3. Skewed left-sided difference After deriving these schemes, prove that your skewed schemes are fourth-order accurate write a program in Matlab to evaluate the second-order…

Aim= To simulate the forward kinematics of a 2R Robotic Arm  Procedure=    Figure shows that the pictorial view of 2R Robotic Arm . In this figure  there are two links such as link 1,link 2,which is connected by joint `theta1`and `theta2`is angle made by  link 1, link 2 respectively. Matlab…

Aim: To write the program to solve the ode which represent the equation of motion of simple pendulum with damping and also simulate the pendulum motion . Procedure: The equation of motion of a simple pendulum with damping   `(d^2theta)/dt^2+(b/m)(d theta)/(dt)+(g/L)sin theta=0`  Assume `theta=theta1=y(1)`…

Aim: To write a code in MATLAB to optimise the stalagmite function and find the global maxima of the function. Objective: Explain the concept of genetic algorithm. Explain the syntax of ga used in Matlab. Plot graphs for all 3 studies and for F maximum vs no. of iterations. Equation:        …

Aim: To write a code in matlab to parse the Nasa thermodynamic data file and calculate the thermodynamic properties of various gas species  Objective:  Write a function that extracts the 14 co-efficients and calculates the enthalpy, entropy and specific heats for all the species in the data file. Calculate the molecular…

Aim: To create Rankine cycle simulator using MATLAB. Objective: To simulate Rankine cycle using MATLAB. To calculate state points using function XSteam. To plot T-S and H-S curve for given inputs in Rankine cycle. To get output in command window for each state point in cycle. Procedure: Rankine Cycle : Rankine is an idealized…

Aim: To solve the steady and unsteady state 2D heat conduction equation by using the point iterative techniques such as,Jacobi,Gauss-seidel,Successive over-relaxation,for both implicit and explicit schemes using MATLAB. Given Parameter:(Boundary Condition): 1) Domain is a area is a Unit square. 2) Assume nx=ny=10 [no of…

Aim:To simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle for both the conservation and non-conservation forms of the governing equations and solve them using the MacCormack's technique. Procedure: 1D super-sonic nozzle flow: We consider the steady, isentropic flow through a convergent-divergent…

Aim:  To simulate an incompressible-laminar-viscous flow through the backward facing step geometry. Perform a transient simulation. The solver can be chosen based on the described physics of the flow.  Explain the simulation process and also provide explanations to every change you make inside the reference…

Aim:Describe the finite volume method,and write down the major differences between FDM & FVM ,describe the need for interpolation schemes and flux limiters in FVM. Procedure: In computational fluid dynamics there are three methods for discretization for solving the governing navier stokes equation these are follows:…

Aim:Simulation of Flow through a pipe in OpenFoam. Objectives: write code in Matlab to automate the generation of blockMeshDict file. The code should take inputs like pipe length, diameter, wedge angle, etc and output a fully functional blockMeshDict file.  Simulation of Flow through a pipe in OpenFoam using…

Aim:Validation studies of Symmetry BC vs Wedge BC in OpenFOAM vs Analytical H.P equation. Objectives: Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical profile Validate maximum velocity and pressured drop for fully developed flow Post-process…

                                                                                         Mixing…

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 cylinder by setting the Reynolds number…

Aim : External flow simulation over an Ahmed body. Objective: Run the simulation for the velocity of 25 m/sec with the default air properties in fluent. For this challenge, you will have to provide answers to the following questions: Q1. Describe Ahmed's body and its importance. Q2. Explain the reason for the negative…

Aim : To perform the steady state conjugate heat transfer simulation on exhaust port. Objective : Describe in brief  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 on the internal…

Objectives: 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. Perform the Rayleigh Taylor instability simulation for 2 different mesh sizes with the base mesh being…

                      CHT Analysis on a Graphics card Problem statement: Perform a steady-state conjugate heat transfer analysis on a model of a graphics card. You can use appropriate materials of your choice for the simulation. Make sure to properly define the…

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 particle…

Aim:To perform a parametric study on the gate valve simulation Objectives: Perform a parametric study on the gate valve simulation 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.…

              Simulating Combustion of Natural Gas Aim: To perform a combustion simulation on given combustor model and to observe the variation of mass fraction of different species in the simulation and study the effect of adding water in to the fuel. Objective : Part 1) …

                                         Surface meshing on a Pressure valveObjectives:For the given model, check for the geometrical errors and perform Topology cleanup accordingly. Set three different target lengths…

Objectives: For the given model, check for the geometrical errors to make appropriate volumes. Create and assign PIDs as shown in the video. 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 mm Compressor casing…

Aim: To perform CFD Meshing for BMW car Objectives: For the given model, check and solve all geometrical errors on half portion and Assign appropriate PIDs. Perform meshing with the given Target length and element Quality criteria. After meshing the half model, Do symmetry to the other side. Target lengths for…

Aim : To perform CFD Meshing for Tesla Cyber TruckObjectives :Geometry clean up of Tesla cyber truck.Assign proper PIDs for meshing.To create a surface mesh.To create a wind tunnel around the Tesla Cyber Truck.To create a volumetric mesh to perform  an external flow CFD analysis simulation.Procedure :Step 1)…

Aim :  To perform surface wrap on Automotive Assembly Objective : For the given models, check for the geometrical errors and delete surfaces which are unwanted for Surface wrap as shown in the videos. After clearing geometry, Merge all 3 models and perform surface wrap. Target length for Wrap = 3 mm Introduction…

Aim:  To perform flow simulation through converging diverging nozzle . Objectives : To plot the pressure, velocity and temperature variations across the domain To plot  variation of Mach number across the domain and at what distance from the inlet does the flow become supersonic. Theory : A convergent divergent…

Aim: To perform simulation on the pitot static tube using Ansys fluent. Objective: To do a literature review of pitot-static tube. Also establish a relationship between Total (stagnation) pressure and static pressure. Calculate the total and static pressures and find the error in percentage for velocity. Introduction:…

Objectives: In this challenge, you are required to do a literature review of various turbulence models explained in the Turbulence modeling video (Week-5) and explain why DNS isn’t feasible according to Kolmogorov's scale. For the below geometry performs a 3D simulation and explain the recirculation region using…

Objectives :  To setup the domain for analysis of flow over an airfoil at subsonic and supersonic regime. The airfoil will be analysed at 3 different angles of attack and the lift and drag coefficient will be compared in all cases. Create domain for flow analysis Setup simulation for subsonic and supersonic regimes…

Aim:  To simulate rotary motion for the given geometry and to study the moving zones approach in Fluent. Introduction: Introduction to moving zone :       Two types of motion are involved in the fluid flow problem  Rectilinear  Rotary.      To model Rotary motion, two approaches…

Aim: To simulate the motion of blades in a generic turbomachinery component using an unsteady approach.          Assume blade rotation at 300rpm          Choose an appropriate time step for the simulation and generate an animation file for the rotation. Theory:…