Week 6 - Multivariate Newton Rhapson Solver

Aim:-Parametric study on Gate valve. Theory:- 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…

Aim:- To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop.   Objective:-  To perform an analysis on a given cyclone separator model by varying the particle diameter from 1 μm to  5 μm and calculate the separation…

Aim :- Thermal(conjugate heat tranfer) analysis on a graphic card. Theory :- Thermal analysis is an important part of the design process, especially if modern, ultra-fast components are used. For example, FPGAs or fast A/D converters may easily dissipate several watts of power. Because of this, PC boards, enclosures…

Aim :- Performing Rayleigh Taylor instability between two immiscible liquid.   Theory :- The Rayleigh–Taylor instability, or RT instability, is an instability of an interface between two fluids of different densities which occurs when the lighter fluid is pushing the heavier fluid. Examples…

Aim :- Exhaust gas thermal effect on Exhaust port using conjugate heat transfer. Theory :- The term conjugate heat transfer (CHT) is used to describe processes which involve variations of temperature within solids and fluids, due to thermal interaction between the solids and fluids. The exchange of thermal energy between…

OBJECTIVE:-   (I) TO SETUP SIMULATION ON CONJUGATE HEAT TRANSFER(CHT) IN SOLID PIPE .                         (II) TO RUN SIMULATION USING GRID DEPENDENCE TEST ON THREE GRIDS .                      …

Aim :- Numerical simulations on the aerodynamics of the Ahmed body.   Abstract :- The aerodynamic behaviour of the Ahmed body is investigated experimentally and numerically. The experiment cover the slant angles of `20^o` for ahmed body. The commercial CFD tool `Fluent^(TM)`v6.3.26 is tested for its…

Aim :- Numerical simulation of laminar flow past a circular cylinder. Theory :- The given above topic mainly focuses on what happens when a laminar flow passes a circular cylinder, here my prime objective is to find out which phenomena actually happens at the wall of the cylinder. Since it would take a lot of time…

Aim:-  To perform mixing efficiency simulation in T-shape tube. Introduction:- The mixing process of hot and cold fluids in a tee junction is chaotic (turbulent) in nature and can result in high cycle thermal fatigue of the junction. This random quasi steady state phenomenon of hot and cold shocks can lead to fatigue…

In this report, I have simulated the oscillation of 2D pendulum and also generate a plot of \'angular_displacement\' & \'angular_velocity\' vs \"time\" in octave. Consider a pendulum which is having a string of length of \'1metre\' connected to a ball of mass,m=1kg such that it is having fixed support from another…

OBJECTIVE:- (I) TO SETUP FULL HYDRO SIMULATION FOR THE PORT FUEL INJECTION ENGINE.  (II) POST-PROCESSING OUTPUT FROM SIMULATION AND CALCULATING :- (A) COMPRESSION RATIO OF THE ENGINE. (B) COMBUSTION EFFICIENCY OF THE ENGINE. (C) TO DETERMINE POWER AND TORQUE OF ENGINE USING PERFORMANCE CALCULATOR.   INTRODUCTION:- …

THEORY:- SHOCK WAVE :- IN PHYSICS , A SHOCK WAVE IS A TYPE OF PROPAGATING ADRUPTNESS OR DISTURBANCE THAT MOVES FASTER THAN THE LOCAL SPEED OF SOUND IN THE MEDIUM . LIKE AN ORDINARY WAVE , A SHOCK WAVES ALSO CARRIES ENERGY AND PROPAGATES THROUGH A MEDIUM BUT HAVE DISCONTINUITY IN IT\'S PHYSICAL PROPERTIES LIKE …

OBJECTIVE:- (I)  TO SETUP TRANSIENT SHOCK TUBE SIMULATION . (II) TO PLOT PRESSURE AND TEMPERATURE HISTORY IN ENTIRE DOMAIN . (III) PLOT THE CELL COUNT AS A FUNCTION OF TIME .   THEORY :- THE SHOCK TUBE IS AN INSTRUMENT USED TO REPLICATE AND DIRECT BLAST WAVES AT A SENSOR OR A MODEL IN ORDER TO SIMULATE ACTUAL…

In this programming, I have derived the four order approximation of second order derivative using finite difference method. In Finite difference method,we generally convert ordinary differential equation into difference equation. In order to achieve so, we use simple three techniques i.e Forward differencing, Backward…

OBJECTIVE:- STEADY STATE SIMULATION OF FLOW OVER A THROTTLE BODY . SOFTWARE USED :- 1. CONVERGE STUDIO:- TO SETUP THE MODEL.  2. CYGWIN:- FOR RUNNING THE SIMULATION. 3. OPENFOAM:- TO VISUALIZE THE DIFFERENT POST-PROCESSED RESULT.   THEORY:- HERE, WE HAVE DONE SIMULATION OF FLOW OVER A THROTTLE BODY IN STEADY…

OBJECTIVE:- STEADY STATE SIMULATION OF FLOW OVER A THROTTLE BODY . SOFTWARE USED :- 1. CONVERGE STUDIO:- TO SETUP THE MODEL.  2. CYGWIN:- FOR RUNNING SIMULATION. 3. OPENFOAM:- TO VISUALIZE THE DIFFERENT POST-PROCESSED RESULT.   THEORY:- HERE, WE HAVE DONE SIMULATION OF FLOW OVER A THROTTLE BODY IN STEADY STATE…

NAVIER-STOKES EQUATION :- THE NAVIER-STOKES EQUATION IS A PARTIAL DIFFERENTIATION EQUATION WHICH IS USED TO DETERMINE FLOW IN THE INCOMPRESSIBLE FLUIDS. THESE EQUATIONS HELPS IN DETERMINING THE FLOW QUANTITIES FLOWING IN FLUID AND SOLVES MANY AMBIGIOUS PROBLEMS PREVAILING IN REAL WORLD. SIGNIFICANCE OF NAVIER-STOKES EQUATIONS:-…

Aim :- To perform sensitivity analysis for Auto-Ignition in combustion using Cantera.   Introduction :- Combustion in engines with a practical fuel is very complex and is commonly described by a detailed mechanism which may involve dozens or even hundreds of reactions. However, the detailed mechanism is not well understood…

Aim:- To simulate Auto-ignition time for methane and Calculate Auto-ignition temperature. Introduction:- As we know that when a fuel is compressed or exposed to high temperature, it gets automatically ignited without any external source for ignition. So, when a fuel gets auto-ignited it takes some time commonly known as…

 AIM :-  TO SOLVE SET OF ORDINARY DIFFERENTIAL EQUATION USING MULTIVARIATE NETWON-RAPHSON TECHNIQUE.  INTRODUCTION :-  In this project, I have basically solved a set of ordinary differential equation using multivariate Newton-Raphson technique. Here, My aim was to analyse the effect of time- step on…

Aim:- Derivation of simple reaction mechanism using compact notation. Introduction:- In the assignment, I have derive reaction mechanism for elementary reaction in chemical process. The motive behind deriving this reaction mechanism is to find out the chemical kinetics for elementary reaction which will help us in knowing…

1. We know that for proper combustion of fuel and oxidiser, the combustion should take place in following given below chemical equation or Stoichiometric chemical equation:-          CH4 + 2(O2 + 3.76N2) = CO2 + 2H2O + 7.52N2     But since we have reactants of chemical equation in following…

AIM :-  I.  TO ANALYSE THE EFFECT OF PREHEATING ON ADIABATIC FLAME TEMPERATURE . II. TO ANALYSE THE EFFECT OF PREHEATING ON COMBUSTION EFFICIENCY OF FUEL.   INTRODUCTION :- Since We know that In today's world fuel consumption is increasing day by day. It have become must for us to use certain techniques…

AIM:- IN THIS PROJECT SIMULATION IS DONE ON THE FLUID FLOW THROUGH PIPE USING OPENFOAM SOFTWARE AND MATLAB . THE TOPIC GIVEN BELOW IS COVERED IN THIS PROJECT. TO MAKE A PROGRAM IN MATLAB THAT CAN GENERATE MESH AUTOMATICALLY FOR ANY WEDGE ANGLE AND GRADING SCHEME. TO SHOW ENTRY LENGTH IS SUFFICIENT TO PRODUCE VELOCITY PROFILE.…

  IN THIS PROJECT, I HAVE WORKED ON THE ONE DIMENSIONAL SUPERSONIC NOZZLE FLOW. IN THIS FLOW, I HAVE ASSUMED THE FLOW TO BE STEADY,ISENTROPIC. IN THIS NOZZLE, I HAVE CONSIDERED THE FLOW AT INLET SECTION COMES FROM RESERVOIR WHERE THE PRESSURE, TEMPERATURE ARE DENOTED AS `P_0` AND `T_0` RESPECTIVELY. THE…

AIM:- IN THIS PROJECT SIMULATION IS DONE ON THE FLUID FLOW THROUGH PIPE USING OPENFOAM SOFTWARE AND MATLAB . THE TOPIC GIVEN BELOW IS COVERED IN THIS                      PROJECT. TO MAKE A PROGRAM IN MATLAB THAT CAN GENERATE MESH AUTOMATICALLY FOR ANY WEDGE ANGLE…

AIM :- IN THIS PROJECT, I HAVE WORKED ON SIMULATING THE FLOW OF FLUID THROUGH  THE DOMAIN (CONTROL VOLUME). DESCRIPTION:- THE DOMAIN IS NOTHING ELSE, IT IS JUST A CONTROL VOLUME THROUGH WHICH I HAVE SIMULATED THE RESULT OBTAINED FROM THE GOVERNING EQUATION. THE CONTROL VOLUME IS A GEOMETRY WHERE THE WHOLE GEOMETRY…

  In this project, I have worked on the simulation of conduction of temperature heat in two dimensional space (2D domain).  The aim was to determine the rate of flow of  heat due to temperature difference over the space domain under steady condition and transitional condition. The governing equation which…