Simulation of a 1D Super-sonic nozzle flow simulation using Macormack Method

matlab program is written to simulate the 1-D super sonic nozzle flow using Macormack Method , A comparison is made between conservative and non conservative form of governing equation to check which one is faster and how the parameters changes along the length of the nozzle in both the forms, a separate program is written…

1. The fastest simulation in steady state, transient implicit and transient explicit is the successive over-relaxation method, the number of iterations in which solution converges in case of steady state is around 30 while in the transient explicit mode the number of iteration in which solution converges is 197 and in…

The temperature distribution curve for 2D steady state conduction equation is shown below,from the figures it is clearly visible that the number of iterations in which solution converges starts decreasing from Jacobi to SOR, in case of Jacobi the number of iterations is 216 while in case of gauss seidel it…

The figure shown below illustrates the variation of velocity after 0.4 seconds with the grid size, as the grid size increases from 21 to 81 the velocity profile start taking its original form but at a grid size of 161, the grid becomes finer some instabilities start forming and systems become unstable clear all close…

the figure shown below shows the curve for different skewed technique, from the figure it is clearly visible that the central skewed scheme gives the least error of all three schemes and left skewed scheme to give the low magnitude of error to compare to right skewed error.all the schemes follows nearly same trend. I think…

google link for Matlab program of discretization basics  https://drive.google.com/open?id=1vMOEB6ZRkbz1Xfz5-rGJJ1J-ZP0_pV-8   the above figure shows the comparison of the first order, second order and fourth order approximation of analytical vs exact derivative. from the figure, it can be concluded that…

boundary conditions are essential to obtain a solution of a boundary value problem, Boundary conditions are defined at the boundary of an independent variable in an equation whereas in initial value condition has all of the condition defined at the same value of the independent variable in an equation. for example, boundary…

1. Explicit Method : In case of a transient explicit method, stability largely depends on CFL number CFL number for 2-dimensional heat conduction problem is given as: k= alpha* (dT/dx² + dT/dy²) ≤ 0.5  in this case dx = dy hence CFL  ≤ 0.25, where alpha is thermal diffusivity…

Interpolation Schemes: 1. Upwind Interpolation: It is used for calculating approximate value of wariable at the east face of control volume, it is first order accurate and is numerically diffusive with coefficient of numerical diffusion. It is equivalent to using a backward or forward finite difference approximation. The…

link for Derivation of Reynolds average naviers strokes equation is given below. https://drive.google.com/open?id=1lkwLuP7szfQ_zHaSwchncw8mGyco2sR3   https://drive.google.com/open?id=1Atmk8O_TLE15zXa2Zk_q3QvM8SpnCRfa

Objective: The objective was to import and clean up the port fuel engine geometry from all types of error. and after that boundary flagging is done. First the geomerty is imported in Converge Studio for analysis and to clean up the geometry errors. the Following Figure shows the geometry imported in Converge.   after…

A shock Tube simulation is setup in Converge Studio for analysis. During the case setup the whole shock tube is divided into two regions i.e. high pressrue region and low pressure region.In the high pressure region Nitrogen gas is filled where as in low pressure region oxygen gas is filled. Initially the high pressure…

Boundary Conditions: Depends on the type of flow, boundary conditions varied like for solving steady state problem appropriate boundary condition are used. and for solving transient flow equations appropriate initial conditions are used. Types of Boundary Conditions. 1. Drichlet Boundary Condition. In case of drichlet…

Objective: To study the transient flow over a throttle which is placed inside a pipe. the throttle initially remains in horizontal direction and then moves at an angle of 25 degree stay their for 4 ms and then comes back to initial position. The figure shown below shows the throttle position at initial time. after this…

Objective: To study the steady state simulation over a throttle body. in this problem we will study how the flow behaves over the throttle. Th figure shown below shows the throttle valve inside the pipe. A valve is placed inside the pipe which restricts some area of flow. the flow takes place due to pressure 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…

Objective: the objective of this study is to make a backward facing step block by editing blockMeshDict file and simulate it in openfoam and post process the result like velocity profile near the step zone and to check the effect of grading scheme. on velocity profile.   first the backward step facing block is divided…

OBJECTIVE: To write a program in Matlab which will generate BlockMeshDict file automaticlly of given grading schemes and wedge conditions. and to study the flow through a pipe in OpenFoam and validate the results with theoretical equations which is Hagen poiseuille\'s equation. GIVEN: Reynolds Number - 2100 Radius of pipe…

#commentUse insert code to paste your codes  The figure shown below illustrates the effect of the number of moles on the stoichiometric coefficient in the case of alkyne, alkene, and alkanes. the trend shows that the variation is linear in all three caseshttps://drive.google.com/open?id=1q3t_6R2j7lzh3i3yZVL8vRzOg3d9Cjm4

boundary conditions are essential to obtain a solution of a boundary value problem, Boundary conditions are defined at the boundary of an independent variable in an equation whereas in initial value condition has all of the condition defined at the same value of the independent variable in an equation.for example, boundary…

matlab program is written to simulate the 1-D super sonic nozzle flow using Macormack Method , A comparison is made between conservative and non conservative form of governing equation to check which one is faster and how the parameters changes along the length of the nozzle in both the forms, a separate program is written…

1. Explicit Method : In case of a transient explicit method, stability largely depends on CFL number CFL number for 2-dimensional heat conduction problem is given as: k= alpha* (dT/dx² + dT/dy²) ≤ 0.5  in this case dx = dy hence CFL  ≤ 0.25, where alpha is thermal diffusivity…

1. The fastest simulation in steady state, transient implicit and transient explicit is the successive over-relaxation method, the number of iterations in which solution converges in case of steady state is around 30 while in the transient explicit mode the number of iteration in which solution converges is 197 and in…

The temperature distribution curve for 2D steady state conduction equation is shown below,from the figures it is clearly visible that the number of iterations in which solution converges starts decreasing from Jacobi to SOR, in case of Jacobi the number of iterations is 216 while in case of gauss seidel it…

The temperature distribution curve for 2D steady state conduction equation is shown below,from the figures it is clearly visible that the number of iterations in which solution converges starts decreasing from Jacobi to SOR, in case of Jacobi the number of iterations is 216 while in case of gauss seidel it…

The temperature distribution curve for 2D steady state conduction equation is shown below,from the figures it is clearly visible that the number of iterations in which solution converges starts decreasing from Jacobi to SOR, in case of Jacobi the number of iterations is 216 while in case of gauss seidel it…

The temperature distribution curve for 2D steady state conduction equation is shown below,from the figures it is clearly visible that the number of iterations in which solution converges starts decreasing from Jacobi to SOR, in case of Jacobi the number of iterations is 216 while in case of gauss seidel it…

The temperature distribution curve for 2D steady state conduction equation is shown below,from the figures it is clearly visible that the number of iterations in which solution converges starts decreasing from Jacobi to SOR, in case of Jacobi the number of iterations is 216 while in case of gauss seidel it…

The temperature distribution curve for 2D steady state conduction equation is shown below,from the figures it is clearly visible that the number of iterations in which solution converges starts decreasing from Jacobi to SOR, in case of Jacobi the number of iterations is 216 while in case of gauss seidel it…

The figure shown below illustrates the effect of the number of moles on the stoichiometric coefficient in the case of alkyne, alkene, and alkanes. the trend shows that the variation is linear in all three cases https://drive.google.com/open?id=1q3t_6R2j7lzh3i3yZVL8vRzOg3d9Cjm4

The figure shown below illustrates the variation of velocity after 0.4 seconds with the grid size, as the grid size increases from 21 to 81 the velocity profile start taking its original form but at a grid size of 161, the grid becomes finer some instabilities start forming and systems become unstablehttps://drive.google.com/open?id=175t4A3jXD5IysU-t_G5ntWuRhb7MokAo

the figure shown below shows the curve for different skewed technique, from the figure it is clearly visible that the central skewed scheme gives the least error of all three schemes and left skewed scheme to give the low magnitude of error to compare to right skewed error.all the schemes follows nearly same trend. I think…

google link for Matlab program of discretization basics  https://drive.google.com/open?id=1vMOEB6ZRkbz1Xfz5-rGJJ1J-ZP0_pV-8   the above figure shows the comparison of the first order, second order and fourth order approximation of analytical vs exact derivative. from the figure, it can be concluded that…

boundary conditions are essential to obtain a solution of a boundary value problem, Boundary conditions are defined at the boundary of an independent variable in an equation whereas in initial value condition has all of the condition defined at the same value of the independent variable in an equation. for example, boundary…