Week 3 - Solving second order ODEs

Simulation of the flow over a cylinder with different reynolds number. A cylinder with followig dimensions are created in solidworks. Diameter = 40mm Length = 50mm Surface roughness is taken as zero. Gravity is not considered. Formula to calculate the baseline case Reynolds number.  Re = rho*U_inlet*D/mu…

Flow over an airfoil-Flow simulation using SOLIDWORKS Abstract  In this Project, CFD analysis of the two-dimensional subsonic flow over a NACA 0017 airfoil at various angles of attack and compare the lift and drag force. The geometry of the airfoil is created using SOLIDWORKS. CFD analysis is carried out using Flow…

AIM : In this project, we are creating a 3D model of a Flow Bench and runing the flow analysis & perform the following operations.  Grid dependence test                    For three grids run your simulation at a particular valve lift and explain your results.…

Abstract In this Project, Creating a 3D model of a Centrifugal pump, run a baseline flow simulation where inlet flow takes place and then perform a parametric study for different velocities. Showing the Performance diagram and Obtain the relationship between Pressure ratio and mass flow rate and explaining the results. …

In data analysis our prime interest is to read the data from the suitable file format and analyse the data,plot the graphs,calculate area under the given curve,power and specific fuel consuption. for opening and reading the file "open" command is used. 'try' & 'except' command is used to display the error prompt if…

AIM : Program to perform curve fitting in PYTHON . THEORY : Curve fitting is the process of construction of 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…

Aim:         To write a program to simulate the transient behaviour of a simple pendulum and to create an animation of it's motion. In the above equation, g = gravity in m/s2, L = length of the pendulum in m, m = mass of the ball in kg, b=damping coefficient.  (d^2 θ/dt^2) +(dθ/dt)*b/m+(g/l)*sin⁡θ=0…

In this programme i have plotted a PV diagramme for an Otto cycle by using a engine parameters and some inputs. In this cycle we have four process to complete one cycle. if p1 and t1 are inputs and t3 is the output parameters so that we can calculate v1,v2,p2,p3,p4,t2,t4 and it has two constant volume processes so that…

Objective: To create a solid model of a rotating flywheel on a shaft and identify 5 critical frequencies by generating 5 mode shapes using Solidworks Simulation’s Frequency analysis feature.   Figure 1: Dimensions of the solid model created                   …

Objective:           To create a 3Dmodel for IC Engine Valve Train and assemble and performed a motion analysis and also to study contact force between parts. Components used in IC Engine valve train: Cam:           A camshaft is a device to convert rotational motion into…

Abstract In this project, the main objective is to model a piston and its associated parts i.e. piston head, wrist pin, connecting rod, end cap, and crank then run an MBD simulation on that. Motion analysis is done at 1200rpm and frame rate 7200fps with precision contact for three different parameters then plots of…

A Planetary gear  (also known as epicyclic gear train) consists of a larger Ring gear, planet gears, and a sun gear. The sun gear is mounted at the center around which the Planet gears are mounted which can revolve around them. The planet gears are meshing internally with the Ring gear which is an internal…

The objective of the mini project: 1) Create 3D models for driver and driven wheels of Internal Geneva Mechanism. 2) Creating Assembly of Internal Geneva Mechanism. 3) Motion Study of the whole Internal geneva mechanism assembly (using precision and without precision).  4) Plot a graph of Contact force (between…

AIM: Create a MATLAB program which shows a simple simulation for the crank-slider mechanism for the crank shaft-piston mechanism Theory:                                                 …

AIM: Write a code in MATLAB to solve the State functions of a Rankine cycle for provided input Plot corresponding graphs and display the output as required THEORY The Rankine cycle closely describes the process by which steam-operated heat engines commonly found in thermal power generation plants. Processes involved in…

AIM : To parse NASA’s Thermodynamic data file to calculate Enthalpy, Entropy, Specific heat and Molecular weight of each species using MATLAB. OBJECTIVES : To write a function to read the data given in the file and extract the coefficients for each species to calculate enthalpy, entropy and specific heats for…

Objective : To Write a code in MATLAB to optimise the stalagmite function and to find the global maxima of the function.   THEORY : The genetic algorithm GA is a method for solving both constrained and unconstrained optimisation problems that is based on natural selction,the process that drives biological…

  Objective :  To capture the motion of simple pendulum with damper by solving the governing equation for the motion which is basically a second order ODE and creating an animation using MATLAB. The formula for 2nd Order ODE: `(d^ 2 θ )/( d t ) ^2 + ( b /m ) ⋅ (d θ )/(d t )+ ( g /L ) ⋅ sin…

Objective :  To capture the motion of simple pendulum with damper by solving the governing equation for the motion which is basically a second order ODE and creating an animation using MATLAB. The formula for 2nd Order ODE: `(d^ 2 θ )/( d t ) ^2 + ( b/ m ) ⋅ (d θ) /(d t) + ( g/ L ) ⋅ sin ( θ…

Aim: Program to solve otto cycle and plot PV diagram and finding thermal efficiency. Assumptions: There are four process in otto cycle: 1) Isentropic Compression 2) Isochoric heat addition 3) Isentropic expansion 4) Isochoric heat rejection. There are two constant volume process so we can say: v1=v4 v2=v3 input…

Aim: To locate the motion of 2 links of varying length moving in anticlockwise direction from angle 0 to 180 degree.   Assumptions: Length of the link is taken as: L1 = 2 metric unit L2 = 1 metric unit Angle of first link is assumed as theta1 and angle of second link is assumed as theta2 moving from angle 0 to 180…