Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method

Objective: To study and understand Finite Volume Method(FVM) The difference between FDM and FVM Interpolation schemes in FVM Flux limiters in FVM Description: There are four numerical methods in total: Finite Element Method (FEM) Boundary Element Method (BEM) Finite Volume Method (FVM) Finite Difference Method (FDM)…

Objective: 1. Steady-state analysis & Transient State Analysis Solve the 2D heat conduction equation by using the point iterative techniques that were taught in the class. The Boundary conditions for the problem are as follows; Top Boundary = 600 K Bottom Boundary = 900 K Left Boundary = 400 K Right Boundary = 800…

In this project, a function's second order derivative is calculated using a numerical approximation method and then its precise derivative is compared. For a required order of precision and required scheme, the expression for a function's second order derivative is derived using Taylor's table approach. (Centre difference…

Aim: To perform a parametric study on a gate valve at different valve simulation by setting the opening from 10% to 80% Objectives To perform the parametric study on the gate valve by simulating the opening of gate valve ranging from 10mm to 80mm. To obtain the mass flow rate for each design point. Calculate the flow factor…

Aim:- To perform analysis on cyclone separator and calculate the separation efficiency and pressure drop.   Objective:- To write a few words about any four empirical models used to calculate the cyclone separator efficiency.  To perform an analysis on a given cyclone separator model by varying the particle…

Aim: To perform a steady state conjugate heat transfer analysis on a model of Graphics Card. Introduction: The term conjugate heat transfer (CHT) describes the process which involves variation of temperature within solids and fluids, due to thermal interaction between the solids and fluids, the exchange of thermal energy…

Rayleigh Taylor Instability Instabilities in Fluid Dynamics: 1. Rayleigh Taylor instabilityThis interfacial instability between two phase of fluid, with different densities occurs when the lighter fluid is pushing the heavier fluid. 2. Richtmyer-Meshkov instabilityThis type of stability occurs when two different fluids…

AIM : To give a brief description of why and where a CHT analysis is used. INTRODUCTION :  CHT Analysis: Conjugate Heat Transfer involves exchange of thermal energy between fluid and solid interface. Such analysis is carried out for heat exchangers, cooling of electronic equipments, cooling and heating systems, exhaust…

AIM:   External flow simulation over an Ahmed body. OBJECTIVES: Describe Ahmed's body and its importance. Explain the reason for the negative pressure in the wake region. Explain the significance of the point of separation. Velocity and pressure contours.  Run the simulation for the velocity of 25 m/sec with the default…

Aim: - Vortex shedding simulation over a cylinder in Laminar flow. Objective: - To setup case of steady state and Unsteady state simulation. To calculate Reynolds number and its significance over cylinder flow. To calculate lift and drag force over the cylinder region. To calculate the strouhal number and plot accordingly.…

AIM : To create two versions of the longer and short mixing tee. OBJECTIVE : To set up steady-state simulations to compare the mixing effectiveness when hot inlet temperature is 360C & the Cold inlet is at 190C. Use k-epsilon and k-omega SST model. Case 1  Short mixing tee with a hot inlet velocity of…

AIM : For the given model, to check and solve all geometrical errors and Assign appropriate PIDs. Perform meshing with the suitable Target length and element Quality criteria PROCEDURE :  Import the given tesla cyber truck into the ANSA software Fill the missing surfaces and delete the unwamted and overlapping surfaces…

AIM :  To check for the geometrical errors and delete surfaces which are unwanted for surface wrap and to Merge all 3 models and perform surface wrap. Target length for Wrap = 3 mm PROCEDURE : Engine : Open ANSA and import parts seperately to cleanup the geometry to unwanted single and triple con errors Delete…

AIM :  To check and solve all geometrical errors on half portion and Assign appropriate PIDs. Perform meshing with the given Target length and element Quality criteria. PROCEDURE :  Import the model into ANSA and we can see the source file of the model where single cons and triple cons are present, as shown below Given…

AIM : To check for the geometrical errors to make appropriate volumes, Perform surface mesh with the given target lengths as per PIDs and Perform Volumetric mesh for the required volumes. OBJECTIVE :  Check the geometrical error Fix the single cons and triple cons error Create PIDs Assign PIDs Perform surface…

AIM : To check for the geometrical errors and perform Topology cleanup accordingly. Set three different target lengths as three different cases and mesh the model. PROCEDURE : Import the model into the ANSA and we can see the some surfaces are missing from the model. To fill the missing surfaces use the TOPO module…