Aim: To solve 2nd order governing ordinary differential equation of a motion of a simple pendulum using MATLAB. Theory: A pendulum is nothing, but mass or weight suspended at fixed point (pivot point) by using string of foxed length. If there is no action of external force on pendulum, it remains in equilibrium position.…

Aim: To write MATLAB code to optimise the stalagmite function and find the global maxima of the function. Theory Optimization is a process of finding desirable solution of a given problem which leads to the best performance under the given constraints. For example, optimization can be done in case of aero plane…

Aim: To write MATLAB CODE to extract data from NASA thermodynamic data file. To calculate thermodynamic properties like specific heat, enthalpy and entropy for all species present in the data file, from data given in file and to plot variation of specific heat, enthalpy, and entropy of each species with respect to temperature.…

Aim: a) To derive 4th order approximations of the second-order derivative by using central scheme, right-sided scheme and left-sided scheme.  b) To compare the second order analytical derivative and second order derivative obtained by 4th order approximations (central scheme, right sided scheme and left-sided scheme)…

Aim: To solve 2 dimensional (2D), steady and unsteady heat conduction equation using MATLAB. Theory: General heat conduction equation in Cartesian coordinates is given by `(∂^2 T)/(∂x^2) +(∂^2 T)/(∂y^2) +(∂^2 T)/(∂z^2) =1/α (∂T)/(∂t)` Where T is temperature, t is time and  `α`is…

Aim: Simulation of quasi 1 dimentionbal noozle flow using Macormack method. Objectives: 1. Steady-state distribution of primitive variables inside the nozzle2. Time-wise variation of the primitive variables3. Variation of Mass flow rate distribution inside the nozzle at different time steps during the time-marching…

Aim: To simulate an incompressible-laminar-viscous flow through the backward facing step geometry using icoFoam solver of OpenFOAM software. Theory: Following geometry is considered.                                        …

Aim: Study of finite volume method (FVM).  Theory:  In Computational Fluid Dynamics (CFD), governing equations of CFD are solved using numerical methods. In CFD partial differential equations (PDE) are  first tranform into system of linear algebraic equations. The process of conversion of partial differential…

Aim: Simulation of Flow through a pipe in OpenFoam Therory: For a flow through circular pipe velocity profile is parabolic. Velocity is minimum at surface and maximum at centre of pipe. Similarly shear stress variation is linear. Shear stress is zero at centre of pipe and maximum at surface. Following parameters were…

Aim: Validation studies of Symmetry BC vs Wedge BC in OpenFOAM vs Analytical H.P equation Theory:  For a flow through circular pipe velocity profile is parabolic. Velocity is minimum at surface and maximum at centre of pipe. Similarly shear stress variation is linear. Shear stress is zero at centre of pipe and maximum…

Aim: Simulation of flow in a mixing Tee Decsription: Simulation is carried out for following four cases Case 1: Short Tee with hot inlet velocity of 3 m/sec and cold inlet velocity of 6 m/sec. Case 2: Short Tee with hot inlet velocity of 3 m/sec and cold inlet velocity of 12 m/sec. Case 3: Long Tee with hot inlet…

Aim: Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street.    Introduction:  Vortex (Plural is vortices) is a rotating elements in a fluid flow. Vortices are form after flow takes over a blunt/bluff body (it forms behind  blunt/bluff body). Vortex formation is important…

Title: External flow simulation over an Ahmed body. Aim: To simulate flow over a Ahmed body to      Get Velocity and pressure contours.       Find out the drag coefficient plot for a refined case.      Plot the the velocity vectors clearly showing the wake region.…

Aim: Conjuagte heat transfer (CHT) analysis of exhaust port. Therory:  Conjuagate heat transfer reffers to combination of heat transfer in solids and fluids due to themal interactions between solid and fluid. In solids conduction often dominates whereas in case of liquids convection dominates. Conjugate…

Aim: Simulation of Rayleigh Taylor (RT) instability phenomenon  Theory: RT instability phenomena occurs at the interface of two fluids of different densities, when lighter fluids pushing the heavier fluid. It is a dynamic process whereby the two fluids seek to reduce their combined potential energy.This phenomena…

Aim: CHT analysis of graphic card. Theory: Conjuagate heat transfer reffers to combination of heat transfer in solids and fluids due to themal interactions between solid and fluid. In solids conduction often dominates whereas in case of liquids convection dominates. Conjugate heat transfer is observed in many…

Aim: Simulating Cyclone separator with Discrete Phase Modelling Introduction:  A discrete phase model (DPM) is used when the aim is to investigate the behavior of the particles from a Lagrangian view and a discrete perspective. The fluid phase is treted as continuum by solving Navier-Stokes…

Aim: Parametric study on Gate valve. Introduction:  A gate valve is a type of valve in which by operating spindle the flow rate of water can be changed. By operating spindle, disc valve can be lifted or lowered so that flow rate can be maintained. In current work flow analysis is done for different openings or…

Aim: Simulating Combustion of Natural Gas. Theory: Combustion is a process in which reactants combines with oxygen from air to release heat, light and forms products of combustion. As shown  below, hydrocarbon (fuel) reacts to oxygen to produce heat, light, water vapours and carbon dioxide. In the current problem,…

Title: Channel flow simulation using CONVERGE CFD. Aim: Set up the case and to run the simulation for 3 dfferent mesh sizes and compare the results.  Plot velocity contours and pressure contours for all 3 cases. To create velocity animation showing developed flow. Theory: In Engineering fluid flow may be an internal…

Title: Simulation of flow over backward facing step using Converge CFD. Aim: To simulate flow over a backward facing step to study velocity and pressure distribution, mass flow rate and floe saperation. Theory:   Backward Facing Step (BFS) is widely known for its application in the studies on turbulence in internal…

Title: Steady state simluation of a flow over throttle body. Aim:  To post process the results and show pressure and velocity contours. To show the mesh (i.e surface with edges) To show the plots for pressure, velocity, mass flow rate and total cell count. Introduction: Throttle valve is a type of valve which regulates…

Title: Unsteady-state simluation of a flow over throttle body.Aim: To post process the results and show pressure and velocity contours.To show the mesh (i.e surface with edges)To show the plots for pressure, velocity, mass flow rate and total cell count.To show variation of Mesh updation while throttle valve…

Title: Simulation of Prandtl Meyer Shock problem using converge CFD. Aim: To study the effect of Sub-grid scale (SGS) on shock location and cell count. Introduction:  Compressible flow is the branch of Fluid Mechanics that deals with flows having significant changes in fluid density. Flows are treated…

Title: Shock tube simulation using CONVERGE Aim:  Setup a transient shock tube simulation Plot the pressure and temperature history in the entire domain. 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…

Title: Reynolds Average Navier-Stokes equation (RANS) derivation and its Analysis Aim: Introduction to Turbulance, turbulance modelling and RANS derivation.  Theory: In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure  and flow velocity.…

Title: Centrifugal pump simulation Aim:  To run simulation for 3 mass flow rates (130 kg/sec, 156 kg/sec and 180 kg/sec) To obtaine plot of total pressure ratio Vs mass flow rate To obtain pump efficiency. Theory: Centrifugal pump is a device used to lift liquid from lower elevation to higher elevation by increasing…

Title: 2D cavitation simulation using Converge Aim:  To study cavitation phenomenon in diesel injector To plot pressure difference Vs caviation zone length To study effect of cavitation on mass flow rate Theory of cavitation: Cavitation is a phenomenon in which the static pressure of a liquid reduces to below…

Title: Proportional valve simulation Aim: To set up case for following cases for following cases in converge. 3 cases without Adaptive Mesh Refinement (AMR)  Lift = 3 mm Lift = 4 mm Lift = 5 mm 3 cases with Adaptive Mesh Refinement (AMR) Lift = 3 mm Lift = 4 mm Lift = 5 mm Run the case with FSI model and show the…

Title: Turbo Charger Simulation Aim:  To run simulation for 3 different pressure ratios of 2, 2.5  and 3. To increase the END TIME of the simulation and check if convergence is achieved for the angular velocity of the Turbine.  Theory A turbocharger (technically a turbosupercharger), is…

Title: To perform flow simulation through converging-diverging nozzle. Aim:  To plot pressure, velocity and temperature variations across the domain To plot variation of Mach number across the domain and at what distance from the inlet does the flow become supersonic. Theory: A convergent-divergent nozzle is…