Week 9 - FVM Literature Review

FOURTH ORDER APPROXIMATION OF SECOND ORDER DERIVATIVE: CENTRAL DIFFERENCE METHOD: SKEWED LEFT SIDE METHOD    SKEWED RIGHT SIDE METHOD MAIN PROGRAM clear all close all clc %f=exp(x)*cos(x) x=input('Enter the point of approximation'); max_dx=input('Enter max step size'); size=input('Enter interval size'); min_dx=input('Enter…

AIM: Mesh specification Number of cells along the x direction (longer dimension) = 200 Number of cells along the y direction = 10 Use a graded mesh. Grading factor near all walls should be 0.2 Boundary condition specification Follow the specifications that are provided in the following figure. Desired output How does the…

AIM: 1. Steady-state distribution of primitive variables inside the nozzle2. Time-wise variation of the primitive variables3. Variation of Mass flow rate distribution inside the nozzle at different time steps during the time-marching process4. Comparison of Normalized mass flow rate distributions of both forms To perform…

AIM: Steady state analysis & Transient State Analysis to solve the 2D heat conduction equation by using the point iterative techniques that were taught in the class. You will implement the following methods 1. Jacobi 2. Gauss-seidel 3. Successive over-relaxation Your absolute error criteria is 1e-4 2. You will write…

AIM: NASA  came up with polynomials that can be used to evaluate thermodynamic properties such as Cp, H and S. They have also documented the co-efficients that are required to evaluate these polynomials for 1000+ species. 1. To write a function that extracts the 14 co-efficients and calculates the enthalpy, entropy…

AIM To create the 3D model for a centrifugal pump and then run flow simulation Performance diagram. Obtain the relationship between Pressure ratio and mass flow rate and explain your results. Pressure ratio = Outlet total pressure/ Inlet total pressure PROCEDURE: The solidworks model of centrifugal pump consisting of volute,…

AIM: To create a 3D model of a flow bench and run flow analysis. To obtain a plot of lift vs mass flow rate. Grid dependence test. For three grids run of simulation at a particular valve lift and explaining the obtained results. Effect of valve lift on mass flow rate. Once  the best grid is decided ,  a parametric…

AIM: To write a code in MATLAB to optimise the stalagmite function and find the global maxima of the function. Clearly expalin the concept of genetic algorithm in your own words and also explain the syntax for ga in MATLAB in your report. T o make sure that code gives the same output, even if it is made…

AIM: To simulate the flow over a cylinder for the conditions shown in the video. To calculate the baseline case Reynolds number.  Re = rho*U_inlet*D/mu D = cylinder diameter mu = dynamic viscosity rho = density To run a baseline simulation and then calculate the Reynolds number. Then increase the Reynolds number by…

AIM: Run a pipe flow simulation with an inlet Reynolds number of 100,1000 and 10,000. For each of these cases do the following Place line probes at 95%, 90% and 85% of the pipe length. Compare the normalized velocity profile at each of these locations Normalize the velocity profile by the inlet velocity.   PROCEDURE:…

AIM: To write a program to simulate the transient behaviour of a simple pendulum and to create an animation of it\'s motion.                                     In Engineering, ODE is used to describe the transient behavior of a system.…

AIM: To write code that can solve an otto cycle and make plots for it. The requirements  Code should create a PV diagram  Code should output the thermal efficiency of the engine. PROGRAM: OTTO CYCLE PLOT AND THERMAL EFFICIENCY clear all close all clc %inputs bore=0.1 stroke=0.1 con_rod=0.15 cr=12;%(v1/v2)=cr…

AIM: To write a program in Matlab to simulate the forward kinematics of a 2R Robotic Arm, as shown in the video.  Create an animation file of the plot. PROCEDURE: The program for executing the task is given below. close all clear all clc %length of link 1 l1=1; %length of link 2 l2=0.5; %Anle link 1 makes with x axis…

AIM: Write a Matlab program to calculate drag force against a cyclist. The factors involved are Velocity,Drag coefficient,Frontal Area,Density of air. Write a program to plot Velocity vs Drag force. Write a program to plot Drag Co-efficient vs Drag force.  PROCEDURE:  The following program is written to…