Here we are supposed to find the error of forward backward and central diffrencing scheme in a second order derivative with fourth order accuracy. Using Taylor table we can derive the function of second order derivative with forward backward and central differencing. The values of coefficients can be found by converting…

Here 2D heat conduction equation is solved for steady and unsteady cases. Various Iterative methods are choosen in order to understand which method converges faster towards the precise result. Steady state equation: ∂^2T/∂x^2 + ∂^2T/∂y^2 = 0 Unsteady state equation: α(∂^2T/∂x^2…

Aim: To simulate isentropic flow through a quasi 1D subsonic-supersonic nozzle by deriving both the conservative and non-conservative forms of governing equations using MacCormack's method.  1. To plot all  the necessary graphs for both the conservative and non conservative forms. 2. Time wise variation of primitive…

AIM: To redesign the cavity block and to rum the simullation for various grading factors of mesh. METHOD: Break the block into 5 different sections of the dimensions specified below. Since our design is a 3D model it looks similar to the picture below The numbering of the verticess should be assigned in such a way that…

AIM: To simulate a supersonic flow through a duct having a sharp corner in order to observe Prandtl Meyer expansion fan over a shock wave. To observe the variation in flow for different initial conditions and also for various SGS temperatures. THEORY: PRANDTL MEYER EXPANSION WAVE Shock was is a propagating disturbance…

AIM: To observe the flow of shocks generated in a shock tube and also to plot the pressure velocity and temperature plots. PROCEDURE: what are shock tubes? A shock tube is a long tubular hollow duct of various shapes, used to determine chemical kinetics. Shock wave can help us determine the pressure, temperature and various…

AIM: To simulate a full hydrodynamic case for a PFI IC engine. 1. To calculate the compression ratio. 2. Why do we need a wall heat transfer model? Why can't we predict the wall temperature from the CFD simulation? 3. To calculate the combustion efficiency. 4. To calculate power and torque. 5. To explain the significance…

AIM: To understand the emission characterization of CAT 3410 engine.   PROCEDURE:  A Diesel Engine is a fuel injection engine where the fuel is directly injected into the combustion chamber when the air is compressed so that the fuel ignites as soon as it comes in contact with high temperature air whic was previously…

AIM: To perform a external flow over Mercedes Benz Actros truck where two cases are to be simulated one with container and other without container.   PROCEDURE:  Flow over a truck is highly necessary to understand the drag and lift associated with the vehicle. The case with container has a tilted position which…

AIM: To plot an otto cycle PV diagram from initial and geometric parameters for an IC engine.   THEORY: An Otto cycle canbe represented as Pressure vs Velocity graph of a IC engine combustion process. There are 4 set of stages for combustion in Otto cycle; 1. SUCTION STROKE: Here the inlet valves are open and air…

AIM: To plot an otto cycle PV diagram from initial and geometric parameters for an IC engine.   THEORY: An Otto cycle canbe represented as Pressure vs Velocity graph of a IC engine combustion process. There are 4 set of stages for combustion in Otto cycle; 1. SUCTION STROKE: Here the inlet valves are open and air…

AIM: To Solve a second order PDE for a swinging pendulum with damping effect.   THEORY: A motion of a pendulum is a second order PDE and cannot be easily solved using python directly. The second order function has to be reduced to two first orders which can be solved by matrix and inbuilt ode function. Lets assume;…

AIM: To write a program and compare the data of temperature vs specific heats with the experimental data and the results from the program. To also determine the effect of order of equation in convergence od experimental and theoretical data.   PROCEDURE: An equation is taken with different order terms of temperature…