Week 5 - Mid term project - Solving the steady and unsteady 2D heat conduction problem

The objective is to solve steady, isentropic flow through a convergent-divergent nozzle as shown: The flow at the inlet to the nozzle comes from a reservoir where the pressure and temperature are denoted by p0 and T0, respectively. It is assumed that at a given section,where the area is A, the flow properties remain constant.…

Objective: The Hagen-Poisseulle's flow describes the laminar flow of incompressible Newtonian fluid through a long cylindrical pipe of constant diameter. As can be seen in the above picture, the flow reaches steady state after a certain entrance (`L_e/D approx 0.006Re`) length beyond which the velocity profile remains…

The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem.…

The objective of this project was to simulate the flow in backward facing step in openfoam using blockmesh. The geomtery of the step is as follows: The boundary conditions are also given in the above image, with the left-most face as inlet, right-most as outlet, and no slip boundaries on top and bottom walls. To implement…

The objective was to solve the steady state and transient 2D heat conduction equation. Steady State Equation: The steady state equation is given as: `\(partial^2T)\/(\partialx^2) + \(partial^2T)\/(\partialy^2)=0` So by numerically discretising the equation we have, `Tp = (1/K)*[(T_L+T_R)/(\Deltax^2) + (T_T+T_B)/(\Deltay^2)]`…