We are solving below equation which is a 2nd order differential equation, this equation represents movement of pendulum w.r.t time.  In MATLAB we will first write above equation in form of MATLAB code, below is the code for above equation. function [dtheta_dt] = ode_fun(b,g,l,m,t,theta) theta1 = theta(1); theta2 =…

WHAT IS OPTIMISATION: Optimisation is technique to find optimum solution or near optimum solution to given problem. eg: you want a minimum possible value of drag coefficient for a particular shape,  the value of parameters which define drag coefficient can be choosen with help of optimisation. WHAT IS GENETIC ALGORITHM:…

What is file parsing? - file parsing is used to extract useful data from data file by reading data file line by line, and then extracting value information when required from any line.   FILE PARSING CODE TO EXTRACT COEFFICENT VALUE OF EACH SPECIES FROM NASA DATA FILE. Above is the formula we will use to calculate…

CENTRE DIFFERENCE SCHEME-   So, for central difference scheme formula for choosing no nodes is  No of nodes = order of approximation + degree of derivative -1 here, order of approximation = 4 ; order of derivative = 2 hence, no of nodes = 4 + 2 -1                 …

CODE FOR STEADY STATE HEAT CONDUCTION EQUATION USING  JACOBI ITERATION METHOD GAUSS SEIDEL METHOD SOR ITERATION METHOD Steady state heat conduction equation: `(del^2T)/(delx^2) + (del^2T)/(dely^2) = 0 or triangleT = 0` after solving and discretising above equation we get, T = 1/k((T_L + T_R)/`trianglex^2`) +…

Non-Conservative governing equation.   Macormack method - aThis method is used to solve governing equation which involves 2nd order derivative without involving 2nd order derivative in solutions, thus this method simplifies the solution process. This method also give better and accurate results. There are two…

OBJECTIVE: Run a channel flow simulation show velocity and pressure contour check variation velocity ,pressure and mass flow rate at different grid sizes Channel flow test channel flow test is a simple simulation to to test velocity and pressure changes inside a hollow pipe in which water is injected at inlet and ejected…

Flow over a backward facing step objective: simulation for three grid sizes grid size 2e-3, 1.5e-3 and 1e-3 show pressure and velocity contour for all three grid sizes Steps involved:  Input setups in converge and then exporting input files to selected folder run simulation using cygwin post-converting using converge…

Steady-state simulation over a throttle body- objective run simulation over a throttle body show velocity and pressure contour and see how velocity and pressure is varying along the geometry use grid size of 0.002 along with fixed embedding around throttle boundary figure   setup- application type - Time based material…

Project Transient simulation of flow over a throttle body- Objective- Show the mesh (i.e surface with edges) Post process the results and show pressure and velocity contours. Show the plots for pressure, velocity, mass flow rate and total cell count.  show the calculations on how you calculated an end time for the…

Prandtl Meyer Shock problem OBJECTIVE- Simulate a nozzle inside which air is flowing at subsonic and supersonic velocity simulation is steady state  observe variation of velocity and pressure along the geometry and throughout the geometry use of adaptive mesh refinement What is a shock wave? Shock waves are formed…

SHOCK-TUBE PROBLEM :- Objective: To setup a shock tube transient simulation. Plot the pressure and temperature history in the entire domain. Plot the cell count as a function of time. To show the mesh generation using PARAVIEW To create velocity, pressure and temprature animation. What are shock tubes ? Shock tubes are…

NAVIER STOKES EQUATION Navier-Stokes equation, in fluid mechanics, a partial differential equation that describes th eflow of incompressible fluids. This equation consists of three equations Continuity equations Momentum equations Energy equations   Objective - Apply reynold's decomposition to the NS…

FLOW OVER AN AIRFOILWhat is an air foil? How doest it works?Airfoil, also spelled Aerofoil, shaped surface, such as an aeroplane wing, tail, or propeller blade, that produces lift and drag when moved through the air. An airfoil produces a lifting force that acts at right angles to the airstream and a dragging force that…

 Conjugate Heat Transfer Simulation : What is conjugate heat transfer? when transfer of heat takes place between a solid and fluid surfaces , either heat flows from solid side to fluid side or from fluid side to solid side, such heat transfers are called conjugate heat transfers. The above image is an example of conjugate…

 Modeling and Simulation of flow around an Ahmed Body: Objective: Create the CAD model using your any CAD package Setup a Coarse CFD simulation Setup the virtual wind tunnel as shown in the video Apply the right boundary conditions and solver settings Use a coarse mesh to demonstrate that your setup runs successfully.…

Surface meshing on a Pressure valve A pressure Relief Valve is a safety device designed to protect a pressurized vessel or system during an overpressure event. The primary purpose of a pressure Relief Valve is protection of life and property by venting fluid from an overpressurized vessel. Pressure valves are widely…

 CFD MESHING ON TURBOCHARGER:- Turbocharger -A turbocharger is a device fitted to a vehicle’s engine that is designed to improve the overall efficiency and increase performance. A turbo is made up of two halves joined together by a shaft. On one side, hot exhaust gasses spin the turbine that is connected…

CFD MESHING FOR BMW CAR:- Objective- Do topo cleanup for BMW car Do 2D meshing, check quality criterias Use hidden mode to check failed meshes on quality criteria Use reconstruct option to  view and  clear failed meshes Do 3D Meshing for car Create a wind tunnel , either in 2D or 3D mesh depending on capacity…

SURFACE WRAP ON AUTOMOTIVE ASSEMBLY:- AIM - 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. Surface wrap - It is technique used to simulate internal and external…

Project 1 : CFD Meshing for Tesla Cyber Truck OBJECTIVE- For the given Tesla Cybertruck model , check and solve all geometrical errors and Assign appropriate PIDs. Perform meshing with the suitable Target length and element Quality criteria. Steps involved:- TOPOCLEANUP PID's Assign 2D meshing with different mesh…

Simulation of a backward facing step in OpenFOAM 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…

 FVM Literature Review- AIM- What is Finite Volume Method(FVM), write down the major differences between FDM & FVM. Also, describe the need for interpolation schemes and flux limiters in FVM. You can use the 1D linear heat conduction equation as an example.  FINITE VOLUME METHOD (FVM)-  Finite volume…

Simulation of Flow through a pipe in OpenFoam AIM - In this challenge, you will simulate 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. You can do a transient or steady state simulation and you will…

MIXING TEE- AIM- To perform a steady state simulation in order to observe mixing of fluids in Tee joints by varfying length of joint as well as by varying inlet velocity at hot and cold inlets. Case 1  Short mixing tee with a hot inlet velocity of 3m/s. Momentum ratio of 2, 4.  Case 2  Long mixing tee…

AIM- Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street.    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 to…