Curve Fitting using Linear & Cubic Polynomials and improving the fit

I. Introduction:  In this Project, A Steady & Transient state simulation is done of a Flow through an Elbow joint consisting of a throttle valve. The steady state case is solved with the Throttle valve fully open until convergence is reached. While the Transient case is ran with the throttle valve rotating i.e…

Introduction: The Reynolds-averaged Navier–Stokes equations (or RANS equations) are time-averaged equations of motion for fluid flow. The idea behind the equations is Reynolds decomposition, whereby an instantaneous quantity is decomposed into its time-averaged and fluctuating quantities,…

I. Introduction : In this project, A steady state conjugate heat transfer analysis on a Graphic card model is done. Graphic card has become an everyday used object and a very importat part of any computer system, laptops etc. This product is mass produced daily in millions and has made computers exceptionally efficient.…

I. Introduction :  Automotive aerodynamics comprises of the study of aerodynamics of road vehicles. Its main goals are reducing drag, minimizing noise emission, improving fuel economy, preventing undesired lift forces and minimising other causes of aerodynamic instability at high speeds. Also, in order to maintain…

I. Introduction : In this project, we use a data file obtained during an Internal Combustion engine simulation using Converge software. The simulation creates a large amount of data amounting to thousands of lines and to analyse such data we create a Data visualizer tool, scripting it in python.  Since the data produces…

Abstract - The ice breaking mechanism under a slow moving air cushion vehicle is explored (E R Muller - Mathematical modelling : Classroom notes in applied mathematics -page(29)) . Determining the minimum cushion pressure needed to break a given thickness of ice . Solving by using the newton-raphson method in python .…

I. Introduction:  Studying the flow behavior through various structures is an important subject for a CFD engineer. When fluids flow through different geometries, they exhibit different velocity, pressure and flow properties. In this project, Simulation of a flow through backward facing step is done to study the flow…

Abstract : Set up of a time marching, finite difference solution for the Quasi 1D subsonic supersonic nozzle flow. Non-dimensionalizing the Governing flow equations and setting them up with relevant initial and boundary conditions and solving using the Maccormacks technique. Simulating the solution for convergence…

Click here for PART 1 - SIMULATION OF FLOW THROUGH A PIPE (PART 1/2)  -------------------------------------------------------------------------------------------------------------------------------- I. Objective :  1. Automate geometry creation of blockMeshDict file using matlab for Symmetry boundary condition.…

  I. Introduction :  The behavior of pipe flow is governed mainly by the effects of viscosity and gravity relative to the inertial forces of the flow. In this project, Simulation of flow of fluid through a pipe is done to study its effects by creating the geometry in blockMeshDict. Since Simulating large pipes…

I. Introduction : A gate valve opens by lifting a barrier (gate) out of the path of the fluid. Gate valves require very little space along the pipe axis and hardly restrict the flow of fluid when the gate is fully opened. The gate faces can be parallel but are most commonly wedge-shaped (in order to be able to apply pressure…

I. Introduction :  In this project a combustion simulation on a combustor model is performed, using Methane-air mixture by Eddy dissipation model using Ansys Fluent. The rate of reaction is controlled by turbulent mixing, after which mass fractions of different species are captured including NOx emisions & soot…

Abstract :  The heat conduction equation is a partial differential equation that describes the distribution of heat (or the temperature field) in a given body over time. Detailed knowledge of the temperature field is very important in thermal conduction through materials. The equation have…

Project Objective :  To write a program in Matlab to parse the Nasa thermodynamic data file and Nasa polynomials.  To extract coefficients of each species from the data file and calculate thermodynamic properties such as Specific heat , Enthaly & Entropy .  To calculate the molecular weight of each species…

PART 1 - SI-PFI Engine - Surface prep, Boundary flagging & No-Hydro Case setup ****************************************************************************************** I. INTRODUCTION After Post-processing the No-Hydro setup & verifying the case parameters runs as specified, the part 2 of this project advances…

I. INTRODUCTION Compression ignition engine (Diesel engine) as the name suggests is an engine where fuel-injection takes place into the engine cylinder toward the end of compression stroke, just before the desired start of combustion. A closed cycle sector analysis of the cylinder is performed in this project as the main…

PART 2 - Multidimensional Simulation of SI-PFI Engine using Converge CFD (FULL-HYDRO CASE) **************************************************************************************** I. INTRODUCTION  Port-fuel-injection engine as its name suggests is an engine where fuel is injected in the port i.e in its intake port…

Introduction :             The shock tube is an instrument used to replicate and direct blast waves at a sensor or a model in order to simulate actual explosions and their effects, usually on a smaller scale.  Shock tubes can also be used to study aerodynamic flow…

Introduction :            Conjugate heat transfer is a study of heat transfer between solids and fluids in combination. The heat transfer through solids is by conduction & convection in fluids. When both these phenomenon's occur simultaneously in a system together we call it CHT. CHT simulations…

Introduction :  In this project, a Prandtl meyer expansion fan is simulated using Converge CFD package and its expansion fan phenomenon is captured. The shock region of the expansion fan is refined using adaptive mesh refinement - Subgrid scale (SGS) criterion. The expansion wave is studied for different sgs parameter…

Introduction : In this project we perform a gearbox sloshing effect using ansys fluent for 2 two different clearances of same spur gears with 2 different fluids. In fluid dynamics slosh refers to the movement of liquid inside another object which is also undergoing certain motion.           …

Introduction : In this project, a flow through a channel has been set up using Converge 3.0 software from Convergent science. Converge software is a high performance computing CFD package used in industry with applications like IC engines, Fuel injectors and sprays, Exhaust after treatment etc.  The Solver is ran…

Introduction :  Cyclone separators are separation devices that use the principle of inertia to remove particulate matter from flue gases, air or liquid steam without the use of filters. They are also known as precleaners. A high speed rotating flow is established within a cylindrical or conical container. Flow…

I. Introduction :  External flows past objects have been studied extensively because of their many practical applications. Flow past a circular cylinder usually experiences a boundary layer seperation and very strong flow oscillations in the wake region behind the body. In certain Reynolds number range, a periodic…

Introduction :  The term conjugate heat transfer (CHT) is used to describe processes which involve variations of temperature within solids and fluids, due to thermal interaction between the solids and fluids. The exchange of thermal energy between the two physical bodies is called study of Heat Transfer, the rate…

Introduction :     The Rayleigh–Taylor (R–T) instability occurs when a high-density fluid is placed over a lower-density fluid in a gravitational field. When the density interface is disturbed away from horizontal, the hydrostatic pressure acts to drive the heavier fluid into the lighter one,…

Genetic Algorithm : A genetic algorithm is a search heuristic that is inspired by Charles Darwin’s theory of natural evolution. This algorithm reflects the process of natural selection where the fittest individuals are selected for reproduction in order to produce offspring of the next generation. Genetic…

Objective : To solve 1D linear wave equation by time marching method in finite difference using matlab. Observing how the equation diffuses and Analyzing results .   1D linear Wave equation :        `(∂u)/(∂t) = c*(∂u)/(∂x)` Method :  Explicit form …

Objective :  To Simulate a Rankine cycle using matlab. Extracting Steam and water properties from XSteam data (IAPWS IF - 97 standard)  Calculating all the state points of the cycle based on User inputs. Plotting the T vs s and  H vs s plot for the given input.    Rankine Cycle :  Rankine…

Objective :  To observe the effect of time step size on the solution of 1D linear equation. It is in sequence with the previous report : here    Parameters changed : To observe the different time steps of same solution and understand the time it takes to simulate that solution, we create a function…

  Simple Pendulum Simulation by solving second order ODE .  .                                             The objective of this program is to simulate a simple pendulum by solving second order ODE…

Introduction  Curve fitting is the process of constructing a curve, or mathematical functions, which possess the closest proximity to the real series of data. By curve fitting, we can mathematically construct the functional relationship between the observed dataset and parameter values, etc. It is highly effective…

Introduction The Otto cycle was given by Dr. Nikolaus August Otto. It is a gas power cycle that is used in spark ignition engine (i.e. petrol engine) for its working. The entire modern petrol engine works on Otto cycle. It consist of four processes, Two isentropic (reversible adiabatic) processes and two isochoric (constant…

Report   Curve Fitting of Temperature vs Specific Heat data : Introduction  Curve fitting is the process of constructing a curve, or mathematical functions, which possess the closest proximity to the real series of data. By curve fitting, we can mathematically construct the functional relationship between…

Report :  Simple Pendulum Simulation by solving second order ODE .  .                                             The objective of this program is to simulate a simple pendulum by solving second…

Report 3 :  Introduction The Otto cycle was given by Dr. Nikolaus August Otto. It is a gas power cycle that is used in spark ignition engine (i.e. petrol engine) for its working. The entire modern petrol engine works on Otto cycle. It consist of four processes, Two isentropic (reversible adiabatic) processes and two…

Objective : To derive 4th order approximation of second order derivative using taylor table method of finite difference . Using matlab code to plot and comare the errors of each approximation i.e central difference , skewed right sided difference , skewed left sided difference .   Function :   `e^x*cos(x)` …

I. Introduction :   Tee joint is a type of pipe fitting which is T-shaped having Either 1 inlet 2 outlets or 2 inlet 1 outlet combination, The Inlet/Outlet in the Y direction is in perpendicular with the X direction. It is a Common piping component, typically used to combine or seperate flow of fluid. This project…

Objective :  To write a program that compares the first, second and fourth order approximations of the first derivative against the analytical or exact derivative and calculates the error as absolute difference of the approximations against exact / analytical derivative .    Report :  The function `f(x)…