AIM: Write a program in MATLAB to simulate the forward kinematics of a 2R Robotic Arm.   GOVERNING EQUATIONS AND THEORY: Kinematics is the branch of science in which we study the possible motion of a body or the group of bodies without considering external force applied. Kinematics has a wide application in robotic…

AIM: Write a program in MATLAB to plot the P-V graph of the otto cycle and also to find the efficiency of the cycle.   GOVERNING EQUATIONS AND THEORY: Otto Cycle is an air standard thermodynamic cycle, which well defines the working process of modern days gasoline 4-stroke engines. The first person to build the 4-stroke…

AIM: Write a program in MATLAB to solve the Second Order ODEs   GOVERNING EQUATIONS AND THEORY: In Engineering, ODE is used to describe the transient behavior of a system. There are 100s of ODESs which are used to solve real-life engineering problems in an exact and accurate way. One of the examples of such ODEs is…

AIM: Write a program in MATLAB to find the global maxima for the stalagmite function using a genetic algorithm.   OBJECTIVE: Code the stalagmite function in MATLAB. Optimize the stalagmite function in MATLAB and find the global maxima. Study 3 case of options of Genetic Algorithm ‘ ga ’ in MATLAB.  …

AIM: Write a program in MATLAB to read and study the NASA thermodynamic data file.   OBJECTIVE: To parse the NASA thermodynamic data file and to study the thermodynamic properties of all the species.   THEORY: The meaning of file parsing is to read the available data and to split the data into pieces so the data…

AIM: To write the program in MATLAB to the stoichiometric coefficient for each fuel. OBJECTIVE: To plot the comparison of the effect of the number of moles of carbon on the ‘stoichiometric coefficient ar’ using MATLAB. Also, observe this comparison with respect to different fuel types – Alkane, Alkene,…

QUESTION: Write a program that compares the first, second, and fourth-order approximation of the first derivative against the analytical or exact derivative.  ANSWER: Given Equation:                                  Computing…

QUESTION:   In part 1, you had computed the first, second, and fourth-order approximations for a given value of x and dx. For this program, you need to do the following. For a range of dx, plot the first order, second and fourth-order error.                      …

QUESTION: Numerical solution to the One-dimensional Linear Convection equation. Assume that the domain length is L = 1m The initial velocity profile is a step function. It is equal to 2m/s between x= 0.1 and 0.3 and 1m/s everywhere else Use first-order forward differencing for the time derivative Use first-order backward/rearward…

QUESTION: Effect of time step size on the solution Write a function that accepts the time step as an argument and solves the same problem. You will compare the effect of the time step on the numerical solution. Number of nodes, n = 80 Time step, dt = 1e-4, 1e-3, 1e-2, and 1e-1 Simulation run time, t = 0.4 seconds. Expected…

QUESTION: Derive the following 4th order approximations of the second-order derivative.  Central difference Skewed right-sided difference Skewed left-sided difference After deriving these schemes, prove that your skewed schemes are fourth-order accurate. Once you have done this, write a program in MATLAB to evaluate…

AIM: To solve the 2D heat conduction equation by using the point iterative technique using the methods like Jacobi, Gauss-Seidel, Successive over relaxation for both implicit and explicit schemes. Theory: Inputs and Boundary conditions: Domain is assumed to be a shape of a square of length 1m. of nodes in x and y direction…

QUESTION:  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.   ANSWER: The finite volume method is a discretization method that converts PDE to a linear algebraic system. The main advantage of…

Objective: Compare your fastest steady-state simulation vs your fastest transient simulation and explain your result.   Solution: The link for the original Steady and Unsteady 2-D Heat Conduction is given below: Link - https://skill-lync.com/projects/week-5-1-mid-term-project-solving-the-steady-and-unsteady-2d-heat-conduction-problem-66…

AIM: To simulate an incompressible-laminar-viscous flow through the backward-facing step geometry. CASES TO PERFORM: Case 1 - Simulate the flow without using any grading factor (i.e., GF = 1) Case 2 - Simulate the flow with a grading factor of 0.2. The cells should be finer near the wall (including the step wall).…

Objective: Writing a program in MATLAB that can generate the computational mesh automatically for any wedge angle and grading scheme. Show that the velocity profile is fully developed. Post-process velocity and shear stress. Considering a cylindrical pipe with the working fluid water entering the pipe with the laminar…

AIM: To simulate the wedge flow using the OpenFOAM for different angles of the wedge and to capture the results. The given angles for the flow are  10 Degree 25 Degree 45 Degree   OBJECTIVE: Writing a program in MATLAB that can generate the computational mesh automatically for any wedge angle and grading scheme.…

AIM: Simulation of Quasi 1 D Supersonic nozzle flow simulation using MacCormack Method OBJECTIVE: Steady-state distribution of primitive variable inside the nozzle. Time-Wise variation of a primitive variable. Variation of mass flow rate distribution inside the nozzle at different time steps during the time marching process.…

OBJECTIVE: To set up the steady-state simulation to compare the mixing effectiveness of a mixing tee when hot inlet temperature is 36ᵒC the cold inlet is at 19ᵒC for the different cases using Ansys Fluent.   THE MAIN OBJECTIVE IS: To find out the average temperature at the outlet of the geometry. To compare the RANS-based…

STEADY & TRANSIENT STATE SIMULATION OF FLOW OVER A CYLINDER IN 2D TO STUDY THE KARMAN VORTEX STREET AND BEHAVIOUR OF CO-EFFICIENT OF LIFT & DRAG USING ANSYS FLUENT   AIM: Our aim is to simulate a steady & transient state flow over a cylinder with different Reynolds number to study the Karman…

                                   AHMED BODY CHALLENGE AIM -  External aerodynamics flow simulation over Ahmed body solved by using steady-state to identify the reason for negative wake region and to perform grid…

Project 1 The task is to, Script a function to perform image rotation by deriving the rotation matrix for a 140 degree rotation angle. Now on the rotated image perform a scaling operation which reduces the size of the image by 50% of the original size. Take the original image and perform cropping operation manually which…