MATLAB Scripting of steady and unsteady 2D heat conduction equation using Jacobi, Gauss-Seidel & SOR Method

Finite Volume Method Finite Volume Method is a discretization method of discretizing fluid flow governing equations. This method involves the volume integration of the governing fluid flow equation over a finite control volume.  The complete domain is divided into small finite control volume cells. Governing equations…

Objective To solve Quasi 1D Converging-Diverging Nozzle numerically for both conservative & non-conservative forms of governing equations by implementing MacCormack's Method using MATLAB.   Problem Description We consider a steady, isentropic flow through the converging-diverging nozzle. The inlet of the…

Objective Write a MATLAB Script to solver 2D Heat Diffusion Equation for Steady-state & Transient State using Jacobi, Gauss-seidel & Successive over-relaxation iterative method for Steady-state & Implicit and Explicit schemes for Transient state. Input 2D, Plate with negligible thickness Length of Plate…

Objective Write a MATLAB Code solving Linear Convection Equation using Finite Difference Method. Study the stability of numerical scheme and analyzing the numerical diffusion error. Input 1D Domain Length - 1 m Constant Velocity(C) - 1 m/s Total Solution Time - 0.4 seconds Time Step - 0.01 seconds Number of Grid Points …

Objective MATLAB Code to produce PV Diagram and thermal efficiency of Otto cycle.  Calculating the thermal efficiency of the engine. Engine Input Engine Bore = 0.1 meter Stroke Length = 0.1 meter Connecting Rod Length = 0.15 meter Compression Ratio = 12 The pressure is 1 ATM at the start of compression with…

Objective Deriving the 4th order approximations of the second-order derivative for Central difference, Skewed right-sided difference & Skewed left-sided difference Scheme. Writing a MATLAB Code to evaluate the second-order derivative of the analytical function exp(x)*cos(x) and compare it with the 3…

Objective Write code to fit a linear and cubic polynomial for the Cp data using MATLAB. Plot the linear and cubic fit curves along with the raw data points of cp vs Temperature. Write a code to show split wise method to make a better fit of the polynomial curve. Explain the parameters used to measure the fitness characteristics…

Objective Solve the motion of Simple Pendulum with damping using a second-order ODE.  `(d^2theta)/dt^2 + b/m(d(theta))/dt +g/L(Sintheta) = 0` In this equation, Theta is the angular displacement of the pendulum. Solve the equation to get angular displacement and velocity of a pendulum with respect to time. Plot displacement…

Objective Write a MATLAB code that does the following operations:- Extracts the 14 coefficients and calculates the enthalpy, entropy and specific heats for all the species in the NASA Thermodynamic data. Calculates the molecular weight of each species. Plots the Cp, Enthalpy and Entropy for the local temperature range…

Objective Write a code in MATLAB to optimize the stalagmite function and find the global maxima of the function. Explain the concept of genetic algorithm and the syntax for ga in MATLAB. Plot the stalagmite function and the function maximum value for a given search space using GA solver under 3 conditions…