STEADY AND UNSTEADY 2D HEAT CONDUCTION PROBLEM

STEADY AND UNSTEADY 2D HEAT CONDUCTION PROBLEM: Given data: The domain under consideration is a unit square Assume nx = ny Left = 400K Right = 800K Top = 600K Bottom = 900K   Assumptions used in explanation: `T_(i+1,j) = T_R` `T_(i-1,j) = T_L` `T_(i,j+1) = T_T` `T_(i,j-1) = T_B` `T_(i,j) = T_P` (Current point)  …

  Derivation of FOURTH ORDER APPROXIMATION OF FIRST DERIVATIVE We use Taylor series approach in order to arrive at fourth order approximation. The theoritical derivation is as follows:     MATLAB CODE:   % Main Body of the program clear all close all clc x = pi/3; dx = linspace(pi/4, pi/4000, 20); %dx…

The equation given is a second order ODE, i.e.,                       `(d^2theta)/dt^2 + b/m (d theta)/dt + g/L sin theta = 0` hence this equation can be written as,                         `(d^2…

The equation given is a second order ODE, i.e.,                       `(d^2theta)/dt^2 + b/m (d theta)/dt + g/L sin theta = 0` hence this equation can be written as,                         `(d^2…

Program: The above set of commands are defined to generate GUI to create a widget which contains buttons and lables which are essential for users understanding are written. Lines 1-3: Defined to generate a simple window using Tk programming Lines 5-8: Defined to set the conditions for geneated window such as window title,…

Program: The above program describes the commands required to "reverese normals" and "to turn off normals". The lines from 1-3 is defined to generate a simple plain window using Tk programming. The lines from 5 to 8 are defined to assign window title, window dimensions and make it a current active window, when executed.…

OBJECTIVES: Setup Gate Valve model in ANSYS Fluent. Study the concept of Parametrization Technique. Post process the results and documentation   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Gate Valve Model.   SOFTWARE USED: ANSYS, SpaceClaim - To prepare FV model and setup…

OBJECTIVES: Setup Cyclone Separator model in ANSYS Fluent. Study the concept of DPM Post process the results and documentation   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Cyclone Separator Model.   SOFTWARE USED: ANSYS, SpaceClaim - To prepare FV model and setup cases of…

OBJECTIVES: Setup Combustion model in ANSYS Fluent. Study the concept of Dynamic meshing Post process the results and documentation   SCOPE: Clean up CAD and extract fluid domain(2D). Prepare and verify FV model of Combustion Model.   SOFTWARE USED: ANSYS, SpaceClaim - To prepare FV model and setup cases…

OBJECTIVES: Setup Gear Box geometry in ANSYS Fluent. Study the concept of Dynamic meshing Post process the results and documentation   SCOPE: Clean up CAD and extract fluid domain(2D). Prepare and verify FV model of Gear Box geometry.   SOFTWARE USED: ANSYS, SpaceClaim - To prepare FV model and setup cases…

OBJECTIVES: Setup Flow over a graphics card in ANSYS Fluent. Study the variation of flow parameters. Post process the results and documentation   SCOPE: Set-up CAD and extract fluid domain. Prepare and verify FV model of exhaust manifold.   SOFTWARE USED: ANSYS, SpaceClaim - To prepare FV model. ANSYS, Meshing -…

  Derivation of FOURTH ORDER APPROXIMATION OF SECOND DERIVATIVE We use Taylor series approach in order to arrive at fourth order approximation. The theoritical derivation is as follows:     MATLAB CODE: % Main Body of the programclear allclose allclcx = pi/3;dx = linspace(pi/4, pi/4000, 20);%dx = 0.1;for…

OBJECTIVES: Setup Flow through a exhaust manifold in ANSYS Fluent. Study the variation of flow parameters. Post process the results and documentation   SCOPE: Set-up CAD and extract fluid domain. Prepare and verify FV model of exhaust manifold.   SOFTWARE USED: ANSYS, SpaceClaim - To prepare FV model. ANSYS,…

OBJECTIVES: Setup Ahmed Body geometry in ANSYS Fluent. Study the variation of flow parameters. Post process the results and documentation   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Ahmed Body geometry. Understand the flow parameters variation and check for grid dependency test.…

OBJECTIVES: Setup multiphase in ANSYS Fluent. Study the variation of flow parameters. Post process the results and documentation   SCOPE: Set-up of fluid domain. Prepare and verify FV model.   SOFTWARE USED: ANSYS, SpaceClaim - To prepare FV model. ANSYS, Meshing - To mesh the given model. ANSYS, FLUNET -…

OBJECTIVES: Setup Flow over a cylinder in ANSYS Fluent. Study the variation of flow parameters. Post process the results and documentation   SCOPE: Set-up CAD and extract fluid domain. Prepare and verify FV model of cylinder.   SOFTWARE USED: ANSYS, SpaceClaim - To prepare FV model and setup cases of Cylinder.…

OBJECTIVES: Setup Mixing Tee geometry in ANSYS Fluent. Study the variation of flow parameters. Post process the results and documentation   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Mixing Tee. Understand the flow distribution in the Mixing Tee.   SOFTWARE USED: ANSYS, SpaceClaim -…

OBJECTIVES: Setup CAT3410 engine (omega profile and Open-W profile) in CONVERGE. Study the variation of flow parameters. Post process the results and documentation   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of CAT3410 engine (omega profile and Open-W profile). Understand the mesh movement…

OBJECTIVES: Setup Conjugate Heat Transfer(CHT) setup in CONVERGE. Study the variation of flow parameters. Post process the results and documentation.   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of pipe flow. Show pressue and velocity contours. Show the plots of velocity, pressure, mass…

OBJECTIVES: Setup PFI engine in CONVERGE. Study the variation of flow parameters. Post process the results and documentation   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of PFI Engine. Understand the mesh movement in PFI Engine.   SOFTWARE USED: Converge, Case setup - To prepare…

OBJECTIVES: Setup PFI engine in CONVERGE.   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of PFI Engine. Understand the mesh movement in PFI Engine.   SOFTWARE USED: Converge, Case setup - To prepare FV model and setup cases of CHT. Converge, Post-Processing 3D - To convert .out files…

Week 9: Literature review RANS derivation and analysis Link: https://projects.skill-lync.com/projects/Literature-review-RANS-derivation-and-analysis-39574

OBJECTIVES: Setup Prandtl Meyer Shock model in CONVERGE. Study the variation of flow parameters. Post process the results and documentation.   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Expansion fan. Show pressue and velocity contours. Show the plots of velocity, pressure, mass flow…

INTRODUCTION: "Turbulence is an irregular motion which in general makes its appearance in fluids, gaseous or liquid, when they flow past solid surfaces or even when neighboring streams of the same fluid flow past or over one another. " Turbulence is a continuous phenomenon that exists on a large range of length and time…

OBJECTIVES: Setup Shock Tube model in CONVERGE. Study the variation of flow parameters. Post process the results and documentation.   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Shock Tube. Show the plots of velocity, pressure and total cell count.   SOFTWARE USED: Converge, Case…

OBJECTIVES: Setup Throttle valve model in CONVERGE. Study the variation of flow parameters. Post process the results and documentation.   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Throttle valve. Show pressue and velocity contours. Show the plots of velocity, pressure, mass flow…

OBJECTIVES: Setup Throttle valve model in CONVERGE. Study the variation of flow parameters. Post process the results and documentation.   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Throttle valve. Show pressue and velocity contours. Show the plots of velocity, pressure, mass flow…

OBJECTIVES: Setup Backward Facing Step(BFS) in CONVERGE. Study the case for three different mesh sizes. Post process the results and documentation.   SCOPE: Clean up CAD and extract fluid domain. Prepare and verify FV model of Backward Facing Step (BFS). Show pressue and velocity contours. Show the plots of velocity,…

In this project, a channel flow will be set up for four different base mesh sizes i.e., we run 4 simulations and compare the results between all the 4 simulations. The dimensions of the channel is 0.1m x 0.01m x 0.01m. The different mesh sizes are: CASE 1: dx = 2.0e-4m       …

Interpolation Schemes in Finite Volume Method(FVM): The approximation of surface and volume integrals may require values of the variable at locations other than the computational nodes of the CV. The values at this locations can be obtained by using interpolation formulas, some of the methods are: Upwind Interpolation…

SIMULATION OF FLOW THROUGH A PIPE IN OPENFOAM: - PART 2  This project deals with the simuation of laminar flow through pipe. A wedge portion of the pipe is considered for simulation to reduce the resources required. MATLAB program is written to generate blockMeshDict file,which is required for the simulation.  …

SIMULATION OF FLOW THROUGH A PIPE IN OPENFOAM: - PART 1  This project deals with the simuation of laminar flow through pipe. A wedge portion of the pipe is considered for simulation to reduce the resources required. MATLAB program is written to generate blockMeshDict file,which is required for the simulation.  …

SIMULATION OF 1D SUPERSONIC NOZZLE USING MACROMAC METHOD: In this simulation we assume the low is steady and isentropic through a convergent-divergent nozzle. The temperature and pressue at the inlet is stagnet. Also it is assumed that the area of cross-section is very large hence the velocity v is approximated to 0. The…

BLOCKMESH DRILL DOWN CHALLENGE: Given Data: Number of cells along the x direction (longer dimension) = 200 Number of cells along the y direction = 10 Solver : icoFoam Assumed Data: The value of Kinematic viscosity `nu`= 0.00001 `m^2 s^-1` Simulation start time = 0 s Simulation end time = 0.3 s Value of `Delta…

Derivation of 4th order approximation of second order derivative: 1. Central Approximation:   `(del^2f) / (delx^2)` = 4th order accurate approximation using i-2, i-1, i, i+1 and i+2` Using Taylor series method, `(del^2f)/(delx^2) = af_(i-2) + bf_(i-1) + cf_i + df_(i+1) + ef_(i+2)` Rewritting in tabular form, we have:…