We have set the grid points in our stencil along x plane. each grid points have its own taylor series functions. we have to create a taylor table from these sets of grid points 1.Fourth order approximation of second order derivative using Central difference method: `Deltax^2(d^2f)/dx^2=a*f(i-2)+b*f(i-1)+c*f(i)+d*f(i+1)+e*f(i+2)`…

STEADY STATE: we have to solve the study state equation using different iterative solvers.they are, Jacobi method. Gauss-seidel method. Successive over relaxation method. Heat Conduction equation is ,  `(del^2T)/(delx^2)+(del^2T)/(dely^2)=0` by discretize the above equation we get, `T_P^(n+1)=1/K[(T_L+T_R)/(Deltax^2)+(T_B+T_T)/(Deltay^2)]^n`--------(a)…

Convergent divergent nozzle or the supersonic nozzle or the delaval nozzle is used for supersonic flows. This has three sections: Subsonic section, throat, supersonic section.    Fluid of low subsonic speed enter the subsonic section and the speed increases to the high subsonic speed at the end of the section.…

Considering a 2D laminar, incompressible and Newtonian fluid flow over the Backward-facing step with given kinamatic viscosity as `10^-5 m/s`. Considering the 'No-slip boundary condition' on every wall under the domain. For the results, we need to perform simulations for given grading factors. We need to change the time…

FINITE VOLUME METHOD(FVM): The Finite volume method (FVM) is a method for representing and evaluating a partial differential equation. 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…

 Hydrodynamic entrance length: The hydrodynamic entrance region refers to the area of a pipe where fluid entering a pipe develops a velocity profile due to viscous forces spreading from a pipe's interior wall. This region has a non-uniform flow. The fluid enters a pipe at a constant speed, so fluid particles in the layer…

In the last project, flow through a pipe was simulated and results were presented for wedge boundary conditions. In this project, the working environment is kept the same as the previous one. Instead of the wedge boundary, the symmetry boundary is used in this project. MATLAB SCRIPT clear all close all clc % The Reynolds…

Objective: To simulate the flow of air through mixing tee and understand the effect of length of pipe and momentum ratio of velocity for mixing of air by using two different types of pipe i.e. short pipe and long pipe. Introduction: In industrial process engineering, mixing is a unit operation that…

When fluid flows around a cylindrical object, there is a range of flow velocities for which a von Karman vortex street is formed. For velocities exceeding laminar flow, the inertia of the fluid starts to become significant and, as the fluid stream passes the frontmost part of the cylinder, it is unable to negotiate the…

INTRODUCTION The Ahmed body is simplified car body used in automotive field to study the impact of the flow pattern on the drag. The external aerodynamics of the car defines many major traits of an automobile like stability, comfort and fuel consumption at high speeds. The flow around the vehicle is characterized by high…

Conjugate Heat Transfer The contemporary conjugate convective heat transfer model was developed after computers came into wide use in order to substitute the empirical relation of proportionality of heat flux to temperature difference with heat transfer coefficient which was the only tool in theoretical heat…

1. Some practical CFD models that have been based on the mathematical analysis of Rayleigh Taylor waves are:- Rayleigh-Taylor Instability: The Rayleigh–Taylor instability, or RT instability, is the instability of an interface between two fluids of different densities which occurs when the lighter fluid…

Conjugate Heat Transfer (CHT) Conjugate heat transfer is defined as the heat transfer between two domains by exchange of thermal energy. For a system the thermal energy available is defined by its temperature and  the movement of thermal energy is defined by its heat flux through the outer walls. Heat transfer in…

Empirical models for Cyclone Separator Efficiency: Iozia and Leith Model: Iozia and Leith logistic Model is a modified version of Barth (1956) model which is developed based on force balance. The model assumes that a particle carried by the vortex endures the influence of two forces: a centrifugal force Z, and flow resistance,…

Introduction The gate valve is the fluid valve that opens by lifting the barrier gate from the path of the fluid flowing thriugh a pipeline. Gate valves require generally very less space and are and can be fitted along the pipe axis and they hardly restict any fluid flow when they are fully opened. The schematic of the…

Theory of Combustion: It is a high-temperature exothermic reaction (redox) between a fuel (reductant ) and an oxidant or the oxidizer to release a large amount of chemically bound energy. A flame is a characteristic indicator of the combustion reaction.lt is a sequence of elementary radical reactions. Solid fuels undergo…