SIMULATION OF DAMPED HARMONIC MOTION OF A SIMPLE PENDULUM USING MATLAB

AIM: Derive the following 4th order approximations of the second-order derivative.  1. Central difference 2. Skewed right-sided difference 3. Skewed left-sided difference After deriving these schemes, prove that your skewed schemes are fourth-order accurate  Writing a program in Matlab to evaluate the second-order…

AIM: To write a program that solves the ODE representing the equation of motion of a simple pendulum with damping and to produce the simulation of motion for this damped oscillation. OBJECTIVE: To write the neccessary code to solve the 2nd order ODE of damped harmonic motion using MATLAB. To plot the angular displacement…

AIM: 1. Write functions to calculate the stoichiometric co-efficient (ar) for each fuel 2. Show a plot that compares the effect of number of atoms of carbon on the stoichiometric co-efficient "ar". Compare how this trend changes with the fuel type (alkane, alkene and alkyne).   THEORY: Combustion or burning is a high…

AIM: Design of a Solenoid in-line By-Pass Valve with Inlet Día of ∅9 mm and Outlet Día of ∅11 mm using Autodesk Inventor. SOLENOID VALVE: A solenoid valve is an electromechanically operated valve. Solenoid valves differ in the characteristics of the electric current they use, the strength of the…

AIM: Design of a Pneumatic in-line Check Valve with Inlet Día of ∅7 mm and Outlet Día of ∅8 mm using Autodesk Inventor. CHECK VALVE: A check valve, clack valve, non-return valve, reflux valve, retention valve or one-way valve is a valve that normally allows fluid (liquid or gas) to flow through…

AIM: Analyzing the structure of Saturn V rocket first stage F1 engine bolted flange joint that connects the mid and lower nozzle by building a non-linear finite element model. OBJECTIVES: Main objective is to assess the margin of safety of the flange bolts. Determine the gaps that develop between the jointed parts when…

AIM: Numerical Study of flow past the classic NACA 0012 airfoil at an angle of attack of 10 degrees. OBJECTIVE: Comparing the values of Pressure Coefficient (CP), Coefficient of Lift (CL) & Coefficient of Drag (CD) from the numerical study to that of the experimental values. Plotting the velocity and pressure contours…

AIM: Performing a steady-state conjugate heat transfer analysis on a model of graphics card. Simulation is run for velocities 1 m/s, 2.5 m/s, 5 m/s & 10 m/s based on the air velocity supplied by cooling fan. OBJECTIVE: Determining the maximum temperature and heat transfer coefficient attained by the processor. Identifying…

Performing four simulations in the gearbox with 20% & 30% immersion of gear in fluid (Oil & ATF) (engine oil and n-Heptane) using an UDF. AIM: Performing 4 simulations below to determine effective gearbox sloshing. 20% Immersion, Fluid: Engine oil 30% Immersion, Fluid: Engine oil 20% Immersion, Fluid: n-heptane…

AIM: To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop.  OBJECTIVE: Four empirical models used to calculate the cyclone separator efficiency. To perform an analysis on a given cyclone separator model by varying the particle diameter from 1 μm to 5 μm and to calculate…

AIM: Performing a combustion simulation (Fuel | Oxidant - CH4 | Air) on the combustor and plotting the variation of the mass fraction of the different species. OBJECTIVE: NOX and soot are getting formed at the outlet of the combustor. Such formation has harmful effects on the environment and humans. The stringent…

AIM: Parametric study on the gate valve simulation by setting the opening from 10 % to 80% of gate valve. OBJECTIVE: Obtaining the mass flow rates at the outlet for each design point. Calculating the flow coefficient and flow factor for each opening and plotting the graph. GATE VALVE: A gate valve, also known as a sluice…

Analysis of Conjugate Heat Transfer on an inline four-cylinder, air cooled engine’s exhaust port. The exhaust port module contains four inlets (which are the outlets for each one of the four cylinders) and one outlet. OBJECTIVES: Calculation of the wall/surface heat transfer coefficient on the internal solid surface…

AIM: Performing the grid independency test and provide the values of drag and lift with each case. Running the simulation for the velocity of 25 m/sec with the default air properties in fluent. Ahmed's body and its importance. OBJECTIVES: The reason for the negative pressure in the wake region.  The significance of…

Performing 2D Multiphase Simulation of Rayleigh Taylor Instability for Air and Water as Its Two Phases. AIM: Observing the differences in the effect of mesh size on simulation. Performing simulation with water and user-defined material (density = 400 kg/m3, viscosity = 0.001 kg/m-s) for refined mesh. OBJECTIVE: Determining…

AIM: SIMULATION OF FLOW OVER A CYLINDER TO CAPTURE THE PHENOMENON OF KARMAN VORTEX STREET   PART-I Simulation of the flow with the steady and unsteady case and calculation of the Strouhal Number for Re= 100. PART-II Calculation of the coefficient of drag and lift over a cylinder by setting the Reynolds number…

AIM: Steady-state simulations to compare the mixing effectiveness when hot inlet temperature is 360C & the Cold inlet is at 190C.  Using the k-epsilon and k-omega SST model for the first case and based on judgment using the more suitable model for further cases.  Case 1  Short mixing tee with a hot inlet…