TITILE Motion of a simple pendulum  OBJECTIVE To calculate the angle and position of a simple pendulum and making an animation using. EQUATIONS `(d^2theta)/dt^2 + (b/m)*(d theta)/dt+(g/l)*sintheta =0` where `theta` is the angle made by the pendulum with respect to an imaginary axis. b = Damping coefficient m…

TITLE  Using the stalagmite mathematical model to check the Global maxima of a random,bounded and Known population space data, with the use of the Genetic algorithm. EQUATIONS  STALAGMITE FUNCTION `f(x,y)=f1,x f2,x f1,y f2,y` `f1,x=[sin(5.1pi*x+0.5)]^6` `f2,x=exp[-4ln(2)((x-0.0667)^2/0.64)]` `f1,y=[sin(5.1pi*y+0.5)]^6`…

TITLE  Write a function that extracts the 14 co-efficients and calculates the enthalpy, entropy and specific heats for all the species in the data file. You will be reading this file NASA thermodynamic data. EQUATIONS `(CP)/R=a1+a2*T+a 3*T^2+a4*T^3+a5*T^4` `H/(RT)=a1+a2*(T/2)+a3*(T^2/3)+a4*(T^3/4)+a5*(T^4/5)+(a6)/T`…

TITLE To write a code to simulate a rankine cycle and shows its T-S(TEMP-ENTROPY) and H-S(ENTHALPY-ENTROPY) diagrams. THEORY Below figures give you a breif idea of how a rankine cycle works and how the T-S diagram Aand H-S should look like.                     …

TITLE Derivation of the 4th order approximations of the second order derivatives. OBJECTIVE To write a code in matlab which uses the taylor series approximation equations to get the plot of 3 types of approximations and compare them and understand which gives us the best approximations with the least error possible. EQUATIONS…

TITLE Solving the 2D steady and unsteady state conditions of the heat conduction equation. EQUATIONS USED The 2D heat equation is At steady state we have equation the above equation is transformed into a numerical form with the central differencing scheme.   Where   The transient state equation is  …

TITLE 1D flow through a convergent divergent nozzle(subsonic-supersonic) OBJECTIVES To show the steady state distribution of primitive variables in the nozzle 2. Time-wise variation of the primitive variables 3. Variation of Mass flow rate distribution inside the nozzle at different time steps during the time-marching…

TITLE Simulation of a backward facing step in OpenFOAM OBJECTIVES Code in the required inputs in openFOAM and get the geometry right. check for errors in geometry apply BC's and run the simulation. Then change the grading factor to 0.2 and do the same. The dimensions of the backward step is given below and we generate…

DIFFERENCE BETWEEN FDM AND FDM Differences between Finite Volume Method and Finite Difference Method     Finite Volume Method (FVM)  Finite Difference Method (FDM) 1. Grid Generation Domain is divided into control volumes or cells with variable of interest located at the centroid of each control volume.…

TITLE  Simulation of flow through pipe OBJECTIVES Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical profile Validate maximum velocity and pressured drop for fully developed flow Post-process Shear stress and validate wall shear stress for…

TITLE Validation studies of Symmetry BC vs Wedge BC in OpenFOAM vs Analytical H.P equation CODE MATLAB CODE % file parsing for OpenFOAM clear all close all clc % Diameter of pipe D = 0.004; % All dimensions in m (Note that arc points to be changed) % Reynolds Number Re = 2100; % Entry length L = 0.06 * Re * D; % (result…

TITLE Mixing Tee Simulations OBJECTIVES Velocity and temperature contour plots on the cut planes along and across the pipe. Velocity and temperature line plots along and across the length of the pipe. Perform Mesh independent study for any one case. Discuss the effect of length and momentum ratio on results.  …

TITLE Flow over a Cylinder simulation using Transient and steady state solvers in Ansys Fluent. OBJECTIVES In both approaches, show that the flow has converged. That is, what quantities or plots need to be looked at to determine that the flow has converged? Plots of the coefficient of drag and lift.  Plots to show…

TITLE Flow Over Ahmed body OBJECTIVES Describe what is Ahmed body Simulate flow over ahmed body Indicate various aspects being measured and why Explain the reason for the negative pressure in the wake region.  Explain the significance of the point of separation.  ------------------------------------------------------------------------------------------------------------------------------------------------…

TITLE Conjugate Heat Transfer analysis of an exhaust port. OBJECTIVES Give a brief description of why and where a CHT analysis is used. Maintain the y+ value according to the turbulence model and justify the results.  Calculate the wall/surface heat transfer coefficient on the internal solid surface & show the…

Rayleigh taylor instability The Rayleigh–Taylor instability, or RT instability (after Lord Rayleigh and G I Taylor), is an instability of an interface between two fluids of different densities which occurs when the lighter fluid is pushing the heavier fluid. Examples include the behavior…

Conjugate Heat Transfer simulation on A Graphics Card Heat Transfer by Solids and Fluids Heat Transfer in a Solid In most cases, heat transfer in solids, if only due to conduction, is described by Fourier’s law defining the conductive heat flux, q, proportional to the temperature gradient: . For a time-dependent…

Cyclone separator Cyclone separators or simply cyclones are separation devices (dry scrubbers) that use the principle of inertia to remove particulate matter from flue gases. Cyclone separators is one of many air pollution control devices known as precleaners since…

A PARAMETRIC STUDY ON GATE VALVE A gate valve, also known as a sluice valve, is a valve that 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…

  Combustion Combustion is a high-temperature exothermic redox chemical reaction between a fuel (the reductant) and an oxidant, usually, atmospheric oxygen, that produces oxidized, often gaseous products, in a mixture termed as smoke. Combustion doesn't always result in…

Make a Simulink model of Doorbell using solenoid block with the following details:   In the above arrangement, when the switch is closed the electromagnet receives electrical power from the battery and pulls the metal arm to hit the bell producing sound.  Create a situation where the switch is closed…

1.Implement control logic of a “washing machine” using Stateflow as per given sequence:  If the power supply is available, the system gets activated  If the Water supply is not available, stop the process & indicate through LED Soaking time should be 200s followed by Washing time of 100s. Then…

  MESHING Finite element analysis (FEA) is a mathematical representation of a physical system comprising a part/assembly, material properties, and boundary conditions. In several situations, product behavior in the real world cannot be approximated by simple hand calculations. A general technique like FEA is a convenient…

Question 1. Check the material properties of the rail component and calculate the speed of sound in steel rail=_______ The speed of sound can be calculated by the equation below C = `sqrt(E/rho)` From the starter file given 0000.rad, we get the Density and youngs modulus of the steel rail. `rho =`0.0078 `g/(mm^3)`…

Questions: Comparison of results with base simulation and improved shell element properties 1. Using the crash beam file from the previous assignment, change the run time to 55 ms. 2. Change the number of animation steps during simulation to a minimum of 25 and a maximum of 60. 3. Run the base simulation without any…