AIM: Derivation of forth order approximation of second order derivative using taylor table method. Objective: here we are going to find the second order derivative,which  is evaluated by using numerical approximation methods and then it is going to be compare with exact solution. Theory: here we are interested in…

AIM : solving the steady and unsteady 2D heat conduction problem. Governing equation: `(∂ T)/(∂ t) + α((∂^2 T)/(∂x^2 ) + (∂^2 T)/(∂y^2 )) = 0` where α is constant thermal diffusivity. here constant α = 2*1e-4 (units : `m^2/s`) Theory: here we have 2D plate with…

AIM: simulation of a 1D supersonic Nozzle flow simulation useing Macormack method. THEORY: the flow in the convergent divergent nozzle is isentropic flow. the inlet of convergent nozzle is connected to reserovoir. the flow in the convergent portion is subsonic flow. the flow in the throat portion is sonic flow and the…

finite volume method: finite volume method is based on the approximate solution of intergral form of governing equations. the problem domine is divied into a set of control volumes.   the governing equations are applied to each control volume.  In the finite volume method, volume integrals in a partial…

AIM: Simulation of backward facing step in openfoam. Objectives: Case 1 -  to Simulate the flow without using any grading factor (i.e., GF = 1) Case 2 - to Simulate the flow with grading factor of 0.2. The cells should be finer near the walls (includig the step wall). theory: here we are considering the flow as incomressble…

AIM: Simulation of flow through a pipe in OpenFoam Objectives: write code in Matlab to automate the generation of blockMeshDict file. 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…

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…

AIM: Simulation of Mixing Tee in Ansys fluent. Theory:  In HVAC (Heating, Ventilating, Air Conditioning) unit used in an automobile air-conditioning system, hot air heated by a heater core and cold air cooled by an evaporator is mixed to control the air temperature blown into the compartment. In simulating numerically…

AIM: Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street.   Theory:                         The flow around bluff bodies is an area of great research of scientists for several years. bluff body can be defined as…

AIM: CHT Analysis on Exhaust port objectives: Give a brief description of 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 solid surface & show the velocity & temperature…

AIM: Rayleigh Taylor Instability 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…

AIM: CHT Analysis on a Graphics card Theory: The Graphic card is responsible for rendering an image to your monitor, and it does this by converting data into a signal your monitor can understand. The better your Graphic card the better and smoother an image can be produced. in graphic card heat is generated in…

AIM: Parametric study on Gate valve objectives: For this challenge, you will have to 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…

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 diameter from 1 μm to  5 μm and…

AIM: Simulating Combustion of Natural Gas objectives: part 1- Perform a combustion simulation on the combustor model and plot the variation of the mass fraction of the different species’ in the simulation using line probes at different locations of the combustor. You need to plot for CO2, H2O, CH4, N2, O2, NOx emissions…

AIM: External flow simulation over an Ahmed body Theory: Ahmed body and its importance: As the burning of fossil fuels becomes a more pressing issue, manufacturers are introducing more fuel efficient cars to the market. One main contributor to fuel burn is the car’s aerodynamic drag. Complexly shaped, cars are very…

 AIM: Flow over a backward facing step objectives: run the case for three different base mesh sizes dx = dy = dz =2e-3 m dx = dy = dz =1.5e-3 m dx = dy = dz =1.0e-3 m  Contents to be shown in the report- 1. Show the mesh (i.e surface with edges) for all the 3 base mesh sizes 2.Show pressure and velocity contours…

AIM: Channel flow simulation using CONVERGE CFD objectives: 1. Make sure the inlet pressure and initial pressure are the same.  2. Once you have the base setup ready, run the case for three different base mesh sizes i.e You need to run 3 simulations and compare the results between all the 3 simulations. 3 different…

AIM: Steady state simulation of flow over a throttle body Objectives: Post process the results and show pressure and velocity contours. Show the mesh (i.e surface with edges) Show the plots for pressure, velocity, mass flow rate and total cell count. Create an animation in which it throttle movement should be visible.…

AIM: Transient simulation of flow over a throttle body Objectives: Post process the results and show pressure and velocity contours. Show the mesh (i.e surface with edges) Show the plots for pressure, velocity, mass flow rate and total cell count. Create an animation in which it throttle movement should be visible. theory:…

AIM: Prandtl Meyer Shock problem objectives: 1. Shock flow boundary conditions Do a literature search on what BC's are typically used for shock flow problems 2. What is a shock wave? In your own words, describe the physics behind shock waves 3. Effect of SGS parameter on shock location In the Prandtl Meyer shock problem,…

AIM: Literature review RANS derivation and analysis Ojectives: Explain your understanding of the terms reynold's stress What is turbulent viscosity? How is it different from molecular viscosity?     Reynolds stress: consider a control volume in a two-dimensional turbulent shear flow parallel to the x-axis with…

AIM: conjugate heat transfer simulation on a pipe objectives: Grid dependence test- Start with an initial base grid Run grid dependence test on 3 grids and show that the outlet temperature converges to a particular value Effect of supercycle stage interval- Set supercyle stage interval to 0.01,0.02 and 0.03 For these three…

AIM: Shock tube simulation project objectives: Setup a transient shock tube simulation Plot the pressure and temperature history in the entire domain - Explain the result Plot the cell count as a function of time - Explain the result   theory: In a shock tube, the sudden expansion of a gas at high pressure into…

AIM: Flow over an Airfoil objectives: Simulate flow over a 4 digit airfoil i.e NACA 2412 Airfoil. Drag co-efficient Vs Angle of Attack Lift co-efficient vs Angle of Attack Compare the effect of turbulence models on the above two results. Make sure that the inlet Reynolds number is 200,000 Make sure you do above calculations…

AIM: Modeling and Simulation of flow around an Ahmed Body objcetives: Create the CAD model using your any CAD package Setup a Coarse CFD simulation Setup the virtual wind tunnel Apply the right boundary conditions and solver settings Use a coarse mesh to demonstrate that your setup runs successfully You need to show an…

AIM: FSAE Car Project objectives: Phase 1 - Geometry Setup Cleanup the 48 errors Flag the front wings, rear wings, tyres, suspension links as separate boundaries Create a virtual wind tunnel Ground plane reference is provided in the lower end of the tyres. There will be a "flat section" in all the 4 tyres. This refers…