1. The stability analysis is different with respect to both Implicit and Explicit method.  2. The explicit method is unstable for certain conditions which include Courant number. If the Courant number say, C = k*dt/(dx^2) is greater than 0.25, then the solution leads to instability. Shown below is an unstable graph.…

The simulation of the backward facing step is carried out using icoFoam solver in OpenFoam open source toolbox. The velocity profiles are analyzed for different mesh grid variations and the convergence graph is plotted for the below provided design. fig1: Backward-facing step design The simulation is done using icoFoam…

Prandtl Meyer shock simulation using Converge CFD: The main aim of the project is to do the simulation on a 2D body which involves Prandtl Meyer shock waves. The flow is taken to be steady which does not involve any time-dependent parameters. The inlet flow is supersonic consisting of relevant boundary conditions…

Derivation of reaction rate ODE for a simple mechanism The derivation of a reaction rate ODEs for a simple combustion mechanism is done. The derivation is done using chemical kinetics compact notation. The reaction mechanism for the derivation is given below as follows: `CO + O_2 -> CO_2 + O` `O+H_{2}O -> OH + OH`…

CHANNEL FLOW SIMULATION USING CONVERGE CFD The project comprises of simulating the simple 2D channel flow in Converge CFD software. The flow consists of two gaseous species Nitrogen and Oxygen with a mass fraction of 0.23 and 0.77 in Oxygen and Nitrogen. The inlet flow consists of Pressure with 100001 Pa and outlet flow…

https://drive.google.com/open?id=1JoM_4_iwn00KOt9VtpVBg8h8GBCoxt4A 1. The above link provides the code for the steady state 2D heat conduction, function code for each iteration method and a short theory about iterative methods in PDF. 2. The result of 2D heat conduction is shown below in a contour plot. The output…

The below link provides the Governing equations for both Conservation and Non-conservation forms of the nozzle flow using MacCormack\'s technique. https://drive.google.com/open?id=1rpG3CAvFjnvN8XSDSL5cCHQVRUJbUe-g Highlights of Report 1. Codes for both Conservation and Non-conservation form 2. Convergence study at nozzle…

Simulation of pipe through a pipe in OpenFOAM The project comprises of simulating a circular pipe through OpenFOAM software. The flow is considered as laminar flow while the flow parameter calculations are obtained through Hagen-Poiseuille flow. The mesh is done through OpenFOAM blockmesh while the post-processing…

https://drive.google.com/open?id=1XpfgY9CziudGB06_Wq4NAfZc33Idgwxe 1. The above link contains the code and graph for velocity profile for different time step with constant no of grids.  2. The variation of the velocity profile for different time steps obtained from the code is explained below.  Result:  …

Backward flow simulation using Converge Studio This present project comprises the simulation of the Backward-facing step using Converge CFD software. The simulation is carried for three different base mesh (2e-3, 1.5e-3, and 1e-3) and the mass flow rate profiles are evaluated with air as the flow containing gases of Oxygen…

1. A is a row array of 5 numbers. 2. B is a column array of 5 numbers. 3. The solution is not possible since B is transposed to become row array and so, A*B becomes row * row which cannot be multiplied to obtain matrix.  4. The solution gives 5*5 matrix. 5. A(1: end) refers to elements in A array starting from element…

The below link provides the Governing equations for both Conservation and Non-conservation forms of the nozzle flow using MacCormack\'s technique. https://drive.google.com/open?id=1rpG3CAvFjnvN8XSDSL5cCHQVRUJbUe-g Highlights of Report 1. Codes for both Conservation and Non-conservation form 2. Convergence study at nozzle…

https://drive.google.com/open?id=1JoM_4_iwn00KOt9VtpVBg8h8GBCoxt4A 1. The above link provides the code for the steady state 2D heat conduction, function code for each iteration method and a short theory about iterative methods in PDF. 2. The result of 2D heat conduction is shown below in a contour plot. The output…

https://drive.google.com/open?id=1kDbtXc02180-81ZM8Ver5-MZo8IIpRct   1. The above link provides the code and the graphs which are present in a rar file. The code contains inputting the value of nx of user choice. Once the nx value is given, the code executes. 2. The 1D linear convection is discretized using…

Transient simulation of flow over a throttle body The present project consists of a transient simulation of a throttle body using converge CFD software. The throttle body consists of a butterfly valve to let the fluid inside the throttle. The geometry of the throttle body and the valve are shown in figure 1.    …

Otto cycle Simulation: The project deals with the evaluation of a P-V diagram for the engine otto cycle using Python for given input conditions. Theory:       Thermodynamic Otto cycle is considered to be one of the most commonly used practical cycles. Currently, all IC engines used in your gasoline cars,…

Transient flow simulation of a shock tube The project deals with the study of transient flow simulation in a shock tube using Converge CFD software. The shock tube is dealt with pressure variation which produces the shock and the case is done with the transient flow. The variation of pressure and temperature in the shock…

Steady-state simulation of flow over a throttle body The present project consists of a steady-state simulation of a throttle body using converge CFD software. The throttle body consists of a butterfly valve to let the fluid inside the throttle. The geometry of the throttle body and the valve are shown in figure 1.  …

The simulation of the backward facing step is carried out using icoFoam solver in OpenFoam open source toolbox. The velocity profiles are analyzed for different mesh grid variations and the convergence graph is plotted for the below provided design. fig1: Backward-facing step design The simulation is done using icoFoam…