Solving 2nd order Ordinary Differential Equation using Octave

AIM:  To List down different TC and locate examples from GT Power To Explore tutorial number 6 and 7 To Plot operating points on compressor and turbine maps To find the application in which Variable Geometry Turbine is beneficial? To Explore example- Diesel VGT EGR and understand the modeling part Solution: Turbocharger:…

AIM: To write a code to import all the reactions from GRI mechanism and to calculate 10 most sensitive reactions with respect to temperature parameter Theoritical Background: Sensitivity Analysis It is the process to get relationship between the parameters and the output of the model. Sensitivity analysis investigates…

AIM: To simulate the case of autoignition of methane fuel for finding the ignition delay and to study the effect of temperature and pressure on ignition delay. Theoritical Background: Ignition dealy Ignition delay (ID) is defined as the time period between the start of fuel injection to the start of combustion…

AIM: To solve the give set of Ordinary differential equations using Multivariate Newton-Raphson Method Theoritical Background: Newton-Raphson Iteration Let f(x) be a well-behaved function, and let r be a root of the equation f(x) = 0. Of the many iterative root-finding procedures, the Newton-Raphson method, with…

AIM: To review the lieterature about Ordinary Differential Equation and to write the Python program on Stability.  Theoritical Background: Ordinary Differential Equation The differential equation containing one or more functions of an independent variable and derivatives of those functions. But in the case ODE, the word…

AIM: To derive the reaction rate Ordinary Differential Equation(ODE) of the following reaction mechanism using compact notation Solution: There are 4 reactions and 7 Species in the reaction mechanism. Let 'i' be the Reaction index and 'j' be the Species index Vji’  be the matrix that express number of moles…

AIM:- a) To find the effect of Preheating of air on the Adiabatic Flame Temperature(AFT)            b) To identify the effect of Preheating on Fuel Saving and the variation of Combustion efficiency with respect to preheating temperature Theoritical Background: Recuperator A recuperator…

Aim: Calculation of properties of Air-Fuel mixture by varying the propertiess of air and fuel individually by using Python code Theoritical Background: Air–fuel ratio (AFR) -  It is the mass ratio of air to a solid, liquid, or gaseous fuel present in a combustion…

AIM:  To write a program to analyze the effect of Equivalence ratio on adibatic flame temperature in the constant volume chamber and to compare teh results obtained using cantera  To write a program to analyze the effect of fractional heat loss on adibatic flame temperature of methane contained in the constant…

AIM:  To Explotre Tutorial- single cyl DI To Explore tutorial no 2 (GEM3D) - “Building intake manifold from STL model” Theoritical Background: Discretization Discretization is the process of converting Physical volume in to number of Sub volumes. Discretization splits the larger parts in to smaller sections…

Aim:  To Explore tutorial number 9 and write a detailed report  To Build FRM Model for following configuration using FRM builder approach Bore 102 mm stroke 115 mm CR 17 No of cylinder 6 CI engine Twin Scroll Turbine GT Controller To Run all cases Theoritical Background: FRM stands for Fast Running Model. When…

AIM:  To Compare SI vs CI and list down differences (assignment no 2-SI) To Comment on following parameters BSFC Exhaust Temperature A/F ratios To Change MFB 50 and observe impact on performance Theoritical Background: Difference between SI and CI engine Mass Fraction Burned: Mass fraction burned (MFB) in each individual…

Aim: To Run the case at 1800 rpm and list down important parameters like air flow rate, BMEP, BSFC, In-cylinder pressure and to run the case by increasing the power output at 3600 rpm by 10% Theoretical Background: 1] Break Mean Effective Pressure: The mean effective pressure is a quantity relating…

AIM: To set up the Full Hydro simulation case for SI8-PFI Engine model, to find the compression ratio, combustion efficiency, power and torque for this engine and to explain the significance of ca10, ca50 and ca90 Theoritical Background: Port Fuel Injection Port Fuel injection is when fuel is injected prior…

AIM: To Apply reynold's decomposition to the NS equations and come up with the expression for reynold's stress and to explain the understanding of terms reynold's stress and turbulent viscosity. Theoritical Background: Turbulent Flow Turbulent flow is fluid motion characterized by chaotic changes in pressure  and…

AIM: To Setup a transient shock tube simulation, to Plot the pressure and temperature history in the entire domain and to Plot the cell count as a function of time  Theoritical Background: Shock Tube The shock tube is an instrument used to replicate and direct blast waves at a sensor or a model in order…

AIM: To perform Conjugate Heat Transfer simulation for baseline configuration, to carry out the grid dependency test on 3 grids, to analyse the effect of supercycle stage interval  Theoritical Background: Conjugate Heat Transfer(CHT)  The term conjugate heat transfer (CHT)  describes the  processes…

AIM: To do a literature search of  Boundary conditons that are typically used for shock flow problems, to describe the physics behind shock waves and to look at the effect of sub-grid-scale temperature value on cell count and the shock location Theoritical Background:  Sound waves are pressure waves…

AIM:  To Setup and run transient state simulation for flow over a throttle body and Post process the results Theoritical Background:                      Throttling valves are a type of valve that can be used to start, stop and regulate…

AIM: To Set up and run the steady state simulation for flow over throttle body and to Post process the results Theoritical Background:                      Throttling valves are a type of valve that can be used to start, stop and regulate the…

AIM: To Perform a combustion simulation on the combustor model and plot the variation of the mass fraction of the different species in the simulation using line probes at different locations of the combustor Theoritical background:  Combustion Combustion, or burning is a high-temperature exothermic redox…

AIM:  To perform a parametric study on the gate valve simulation by setting the opening from 10 % to 80% and to calculate the flow coefficient and flow factor for each opening and plot the            graph. Theoritical Backgound: GATE VALVE A gate valve, also known as a sluice…

AIM: To perform the data analysis of a given data by programming in Python  Theoritical Background: Data analysis plays a role in making decisions more scientific and helping businesses operate more effectively. Data analysis is a process of inspecting, cleansing, transforming  and modeling data with…

AIM:- To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop. Theoritical Background: Cyclone Separators                                             Cyclonic…

AIM:  To perform the four simulations in the  Gearbox and then  to compare the results among all the four cases. 20% Immersion, Fluid - Engine oil. 30% Immersion, Fluid- Engine oil. 20% Immersion,Fluid-n-heptane (c7h16). 30% Immersion,Fluid-n-heptane (c7h16) Theoritical Background: A transmission is…

AIM: To write a code to fit a linear and cubic polynomial for the Cp data and to Plot the linear and cubic fit curves along with the raw data points THEORY:  Curve fits are very useful as they help to describe how the data changes Mathematically. We can perform additional Mathematical operation which might…

AIM: To study the design and analysis of Centrifugal pume and to perform the parametric study to obtain the relationship between Pressure ratio and             Mass flow rate  Theoritical Background: Pump  A pump is a device that moves fluids (liquids or gases) by…

AIM: To study the internal flow analysis of flow bench and to perform parametric study for different cases of valve lift Theoritical background: Flow bench An air flow bench is a device used for testing the internal aerodynamic qualities of an engine component and is related to the more familiar wind tunnel …

AIM: To perform the steady state conjugate heat transfer analysis on a model of a graphics card  Theoritical Background: The term conjugate heat transfer (CHT)  describes the  processes which involve variations of temperature within solids and fluids, due to thermal interaction between the solids and fluids.…

AIM:  To perform the external flow simulation over NACA airfoil for different angle of attack and compare the results Theoritical background: Air foil  An airfoil or aerofoil is the cross-sectional shape of a wing, blade, or sail. An airfoil-shaped body moving through a fluid produces an aerodynamic force. The…

AIM: To study the Rayleigh-Taylor instability  Theoritical Background: Rayleigh-Taylor Instability  The Rayleigh–Taylor instability is an instability of an interface between two fluids of different densities which occurs when the lighter fluid is pushing the heavier fluid. Water suspended…

AIM: To study the motion analysis of IC engine valve train Theoritical background: A valve train is a mechanical system that controls operation of the intake and exhaust valves in an internal combustion engine.The intake valves control the flow of air/fuel mixture into the combustion chamber, while the exhaust…

AIM:   To study the motion analysis of planetary gear  Theoritical background: Planetary gear: A planetary gear set is made up of three types of gears; a sun gear, planet gears, and a ring gear. The sun gear is located at the center, and transmits torque to the planet gears which are typically mounted on…

AIM:  Give a brief description of a Conjugate Heat transfer analysis. Theoritical Background: The term conjugate heat transfer (CHT)  describes the  processes which involve variations of temperature within solids and fluids, due to thermal interaction between the solids and fluids. The exchange of thermal…

AIM: To describe the importance of Ahmed body and to explain the significance of point of separation.          To obtain the Pressure and Velocity contours and to plot the velocity profile which show the wake region.            To perform the grid independency…

AIM: To sudy the shapes of the mode and the Critical Frequency of the rotating shaft  THEORETCAL BACKGROUND: Natural Frequencies: The frequency with which body oscillates when there is no repeated or continuous load acting on it. The motion pattern of a system oscillating at its natural frequency is…

Aim: To create a simulation of flow over a cylinder and to explain the phenomenon of Karman Vortex effect  Theory: VORTEX SHEDDING Vortex shedding is the oscillating flow that fluid such as air or water flows past a bluff body at certain velocities depending upon size and shape of the body. If the bluff…

 AIM: To set up steady-state simulations to compare the mixing effectiveness when hot inlet temperature is 360C & the Cold inlet is at 190C.  GEOMETRY:                        Fig 1 Long Mixing Tee           …

AIM: To write a program in Matlab that can generate the computational mesh  automatically for any symmetry angle and grading schemes  THEORY:  Hydrodynamic Entrance Length  Many different entrance lengths exist to describe a variety of flow conditions.The Entrance length refers to the length of…

AIM: To write a program in Matlab that can generate the computational mesh  automatically for any wedge angle and grading schemes          To calculate the length of the pipe using the entry length formula for laminar flow through a pipe         To compare velocity…

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…

AIM:  By using  the icoFOAM solver  simulate the flow through a backward facing step and to create multiple meshes and  to compare the results obtained from each mesh. Boundary condition specification DATA GIVEN: Mesh specification Number of cells along the x direction (longer dimension) = 200 Number…

AIM:  To write code solve the 1D supersonic nozzle flow equations using the Macormack                 Method. THEORY:   Consider the Convergent Divergent Nozzle. Assume that inlet of nozzle is attached to a huge tank. We have reservoir pressure. The velocity is close…

AIM:  To write the code to calculate the Global Maxima of the Stalagmite function  THEORY:  Genetic Algorithm: The genetic algorithm is a method for solving both constrained and unconstrained optimization problems that is based on natural selection, the process that drives biological evolution. The…

AIM:  To  solve the conduction equation using a Transient solver and a Steady state solver using Iterative techniques like Jacobi,Gauss Seidal and Successive Over Relaxation  ASSUMPTONS:   Boundary conditions for steady and transient case     1. Left:400K     2. Top:600K…

AIM: To Derive the  4th order approximations of the second order derivative using Central  difference, Skewed right sided difference, Skewed left sided difference THEORY:  Taylor table is the collection of Taylor series representation. By using Taylor Table   we can come up with Numerical schemes…

OBJECTIVE: To write a program to simulate the transient behaviour of a simple pendulum and to                             create an animation of it's motion. THEORY:     The way the pendulum moves depends on the Newtons second law.…