1. Central Approximation: 4th order accurate approximation using i-2, i-1, i, i+1 and i+2 Using Taylor series method, Rewritting in tabular form, we have: matrix form:- This is of the form "AX = B".  Re-writing them in equation form, a + b + c + d + e =0                …

Aim: To write the code which solves the 2D heat conduction equation by using the point iterative techniques by implementing the following methods. 1. Jacobi 2. Gauss-seidel 3. Successive over-relaxation Introduction: Considering General Three dimensional Heat Conduction Equation which has both time derivative and the spatial…

Aim: To compute flow variables for 1D Subsonic Supersonic Flow Nozzle using MacCormack method for conservative and non-conservative equations. Introduction: Usually, a numerical solution of the steady, isentropic quasi 1D nozzle flow is redundant because the analytical solution for this problem already exists but…

OBJECTIVE: To create a geometry and simulate a 2D flow through a Backward Facing step using multiple meshes refining mesh grading factors inside BlockMeshDict file of BlockMesh using OpenFOAM. Problem Statement: Mesh specification Number of cells along the x direction (longer dimension) = 200 Number of cells along the…

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

AIM: To describe the need for interpolation schemes and flux limiters in FVM THEORY: Discretization is the process of converting partial Differential Equation in to Algebradic form. The whole idea behind discretization is to get the solution at descrete points. Methods of Discretization  1. Finite Difference…

Objective: To study the effect of changing of boundary condition from wedge to symmetry. and check whether there is any deviation of parameters like pressure or velocity from theoretical equation. Theory: wedge boundary condition is used if the wedge angle is less than 5. while for wedge angle greater than 5 symmetry boundary…

Mixing Tee   Aim:- Set up steady-state simulations to compare the mixing effectiveness when the hot inlet temperature is 36C, and the cold inlet is 19C. Try both the k-epsilon and k-omega SST models for the first case to get proper judgment about each method; later, use the most suitable model for further simulations.…

Aim: To perform analysis of cyclone separator and calculate the separation efficiency and pressure drop. Objective:  1) To write few words about any four empirical models used to calculate cyclone separator efficiency. 2) To perform analysis on a given cyclone separator model by varying particle diameter from 1e-6…

AIM: Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street. Understanding the vortex shedding for different Reynolds numbers by changing the inlet velocities accordingly. Create a monitor point behind the cylinder at a distance 4 times the diameter which can be used to calculate and analyze…