SOLVING A SECOND ORDER ODE OBJECTIVE The challenge is to solve the second order ODE of a damped simple pendulum and to simulate its motion using Matlab.   THEORY The ODE given was  d^2Θ/dt^2+(b/m)*dΘ/dt + (g/L)*sinΘ  =0 Where b is the damping coefficient (0.05), m is the mass (1 kg), g…

AIR STANDARD CYCLE OBJECTIVE The objective of this challenge is to program for Otto Cycle and to plot the PV diagram and also to compute its efficiency. THEORY Otto Cycle is considered as an ideal thermodynamic cycle which describes the basic functioning of a spark ignition (petrol) engine. It consisits of four internally…

 SOLVING STEADY AND UNSTEADY 2-D HEAT CONDUCTION PROBLEM OBJECTIVE The primary objective of this task is to conduct a steady state and transient state analysis of a 2D heat conduction equation by using the point iterative techniques. TASK DESCRIPTION A unit square grid of 10 grid points, with boundary conditions…

OBJECTIVE To simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle for both conservative and non-conservative forms of governing equations using the MacCormack's technique. THEORY Consider a steady state isentropic flow through a convergent-divergent nozzle as shown in figure 1. Figure 1:…

OBJECTIVE To simulate an axi-symmetric flow by applying the symmetry boundary condition by conducting a transient or steady state simulation for multiple wedge angles and validate theresults with the Hagen- Poiseuille's equations for the fully developed flow. The flow is laminar and flows through a constant cross-section…

OBJECTIVE To write a code to parse NASA thermodynamic data file and calculate the thermodynamic properties like specific heat ,enthalpy and entropy. That is, Write a function to extract 14 coefficients and calculate the thermodynamic properties of all species in the data file. Calculate the Molecular weight of each species…

OBJECTIVE To run an external flow simulation on an Ahmed body and to analyse the coefficient of drift, lift with a free stream velocity of 25 m/s.   THEORY Ahmed's body and its importance Ahmed body is a simplified car model, created to analyze the impact and flow pattern of drag, and is extensively used in automotive…

OBJECTIVE To conduct a conjugated heat transfer analysis on an exhaust port so as to calculate the wall/surface heat transfer coeffiecient   THEORY Conjugated Heat Transfer (CHT)-Why and Where? The CHT type simulation allows us to simulate heat transfer between solid and fluid domains by exchanging thermal energies …

OBJECTIVE To perform the Rayleigh Taylor instability simulation for 2 different mesh sizes with the base mesh being 0.5 mm with air-water mixture and a userdefined material-water mixture for the refined mesh. THEORY The Rayleigh-Taylor instability or RT instability is the instability of an interface between two fluids…

OBJECTIVE To perform a steady-state conjugate heat transfer analysis on a model of a graphics card by using appropriate materials for the simulation, by varying the velocity from 1m/sec to 5m/sec and to find out the maximum temperature and heat transfer coefficient attained by the processor. THEORY The CHT type simulation…

OBJECTIVE Perform fluid sloshing simulation in the gearbox for four cases, which include 20% Immersion, Fluid - Engine oil. 30% Immersion, Fluid- Engine oil. 20% Immersion,Fluid-n-heptane (c7h16). 30% Immersion,Fluid-n-heptane (c7h16). THEORY Dynamic Meshing The dynamic mesh model allows us to move the boundaries of a…

OBJECTIVE To determine the Adiabatic Flame Temperature for combustion of hydrocarbon fuels and study the variation of equivalence ratio, number of carbon atoms,  type of carbon bond and  effect of heat loss using Python and Cantera THEORY In a chemical reaction the conversion of reactants to products involves…

OBJECTIVE: To understand and work with various attributes of class 'Quantity' and to calculate the Adiabatic Flame Temperature of CH4.   1: When using the 'moles' function of class 'Quantity' we get the number of moles of air. import cantera as ct gas =ct.Solution('gri30.cti') air= ct.Quantity(gas) air.TPX = 298.15,ct.one_atm,{'O2':0.21,'N2':0.79}…