Week 12 - Validation studies of Symmetry BC vs Wedge BC in OpenFOAM vs Analytical H.P equation

OBJECTIVE. To simulate an axis-symmetric laminar flow through the constant cross-sectional of the pipe by applying the symmetry boundary condition. To simulating for the mentioned angles i.e for 10, 25, 45 degrees using both symmetry and wedge boundary conditions and validate them with HP equations.   Hagen-Poiseuille's…

Objective of the project: 1.The main objective of this project is to simulate the laminar flow through pipe. The wedge portion is taken as the whole circular section (cylinder) may take time to simulate or it may be costly if your computer do not have much resources. 2. The other objectives is to write the Matlab…

OBJECTIVE. To simulate an incompressible-laminar-viscous flow through the backwards-facing step geometry and perform a transient simulation. Case 1 - To Simulate the flow without using any grading factor (i.e., GF = 1) Case 2 -  To Simulate the flow with a grading factor of 0.2. The cells should be finer…

Objective: To Simulate the isentropic flow through a Quasi 1D subsonic nozzle by deriving both the conservation and non-conservation forms of the governing equations and solve them by implementing the MacCormack's technique using MATLAB. Problem Statement: Determine the steady-state temperature distribution for the flow-field…

Aim : Solve the 2D heat conduction equation by using the point iterative techniques  and explicit iterative techniques.   CODE & EXPLANATION :  Here we are going to understand the concept of the 2d heat conduction equation of both stead and transient state of flow. We need to understand the derivation…

AIM :  To write a program in Matlab to evaluate the second-order derivative of the analytical function exp(x)*cos(x) and compare it with the 3 numerical approximations that's been derived. THEORY :  Discretization : Discretization is the process of transferring continuous functions, models, variables,…

OBJECTIVE :  Write a function that extracts the 14 co-efficients and calculates the enthalpy, entropy and specific heats for all the species in the data file.   Here R is the universal gas constant, T is the temeprature The FIRST 7 coefficients are HIGH-temperature coefficients and the SECOND 7 coefficients are LOW-temperature…

OBJECTIVE : 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. Make sure that your code gives the same output, even if it…

OBJECTIVE : To write a program to solve the ODE equation which is required to simulate the motion of a simple pendulum with damping.   MATLAB CODE :    l = 3; % Initial Condition % Angular Displacement - 0 % Angular Velocity - 3 rad/sec ct = 1; Angular_Displacement_and_Velocity = [0;3]; % Simulation time…

OBJECTIVE : To create a simulation to find the forward kinematics of a 2R Robotic Arm.  THEORY : Here we try to understand the forward kinematics of a Two Armed Robot . We see that L1 Arm is said to have one fixed end where we consider the coordinates as (X0 ,Y0). The other end of the arm is said to be the movable end.…