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

INTRODUCTION       A gate valve controls the media's flow by lifting the gate (open) and lowering the gate (closed). A gate valve's distinct feature is the straight-through unobstructed passageway, which induces minimal pressure loss over the valve. The unobstructed bore of a gate valve also allows for a…

AIM:  to simulate the flow through a cyclone separator and showing the results for the different particle sizes and the different velocities. we have to simulate the six cases   1).set the velocity constant to 3 m/s and do simulation for the varying size of the particle. 2).set the particle size to…

AIM: To simulate flow over an airfoil for three different Angle of Attack to find out the Lift and Drag coefficient values.   PROCEDURE TO SET UP THA CASE FOR SIMULATION: GEOMETRY: Import the mesh file to fluent. Display all parts and check the mesh report.   TURBULENCE MODEL & MATERIALS: Here SST k-omega…

AIM: To simulate the flow over the Ahmed body. To understand the flow physics over the body at 31m/s. THEORY: Ahmed body is an aerodynamic shape invented in 1984 to reduce the drag of automotive vehicles. Later on, Ahmed's body becomes a test case to validate the solver using experimental results(Wind Tunnel results) compared…

AIM: To simulate the turbomachinery component using the Moving Mesh method in the transient state to understand the flow physics.   THEORY: MOVING MESH APPROACH: Moving mesh approach is used only for the unsteady phenomenon like, Vortex-induced flow. Interaction of vortex with bodies. In Moving Mesh Approach, Mesh…

AIM: To understand the concept of the Moving Zones approach in Fluent.   THEORY: In Fluent there are two types of moving zone approach Moving Reference Frame Moving Mesh Approach   MOVING REFERENCE FRAME: Moving reference frame is of two types, The single Moving reference frame Mixed Moving reference frame…

AIM: To understand the concept of turbulence model and to simulate flow over a a ball which as dimples around the body.   THEORY: Spalart–Allmaras (S–A): The Spalart–Allmaras model is a one-equation model that solves a modeled transport equation for the kinematic eddy turbulent viscosity. The Spalart–Allmaras…

AIM: To perform a simulation on pitot tube using Ansys fluent. To understand the relationship between total pressure and static pressure.   THEORY: Pitot tubes are used in aircraft to determine the airspeed and alitimeter. Using the pressure difference of total pressure and static pressure the airspeed and altitude…

AIM: To perform CD-Nozzle simulation to find out the pressure, velocity, and temperature variations across the nozzle.   THEORY: CD-Nozzle: It is a nozzle with a varying cross-section area of its length and a small area called the throat. CD-Nozzle is used only in aerospace applications, it is used to accelerate the…

AIM: To simulate flow over an FSAE car to find out the drag force and downward force. There are two cases of track one track has lots of turns and another is the straight track. To compare the drag and downforce of two cases.   THEORY: Formula SAE is a student design competition organized by SAE International…

AIM: To simulate the flow over the Ahmed body. To understand the domain creation for external aerodynamics simulation. THEORY: Ahmed body is an aerodynamic shape invented in 1984 to reduce the drag of automotive vehicles. Later on, Ahmed's body becomes a test case to validate the solver using experimental results(Wind…

AIM: To simulate flow over an airfoil for different angles of attack. To find out the lift and drag coefficients using pressure force. THEORY: Any object that needs to be in fly should have the pressure difference at the upper body and lower body. NACA 2412 is an unsymmetrical airfoil so there will be pressure differences…

AIM: To simulate the flow in a shock tube to see the mass reaction of both N2 and O2 while the air enters from high pressure to low pressure. This simulation is used to understand the concept of flow flowing from high pressure to low pressure. THEORY: Bursting of the diaphragm results in the creation of shock waves. Compression…

AIM: To simulate Conjugate heat transfer through the pipe using Super-cycling in converge software and to find the Y+ value as well as understanding the concept. Theory: CONJUGATE HEAT TRANSFER: CHT has a combination of both solid and fluid interactions. In CHT problems heat conduction takes place in the fluid domain only.…

AIM: To simulate supersonic flow in duct having a sharp edge. To understand the concept of the adaptive mesh.  SHOCK WAVE:  A shock wave or shock is a type of propagating disturbance that moves faster than the local speed of sound in the medium. Like an ordinary wave, a shock wave carries energy and can propagate…

AIM: To simulate flow over a throttle body as transient-state simulation. To find flow physics while rotating the throttle body.   FLOW OVER THROTTLE BODY: Here inflow over a throttle body, we find the pressure difference and flow physics over the throttle body using transient-state simulation.   In throttle…

AIM: To simulate flow over a throttle body as steady-state simulation.   FLOW OVER THROTTLE BODY: Here inflow over a throttle body, we find the pressure difference over the throttle body using steady-state simulation.   In throttle body due to pressure difference in flow turbulence occurs. Due to turbulence,…

AIM: To simulate backward-facing step for different mesh size 2e-3,1.5e-3 & 1.2e-3. To visualize velocity & pressure contour for different mesh sizes. To understand the turbulent flow in the backward-facing step.      THEORY OF BACKWARD-FACING STEP: In this simulation, the flow is coming from the…

AIM: To set up a channel flow simulation in converge studio. OBJECTIVE: In this simulation, we are going to run three different sizes of mesh to understand the physics behind the size of the mesh.  dx = 2e-4m,              dy = 2e-4m,       dz = 2e-4m  dx…

AIM: To simulate an axisymmetric flow by applying the wedge boundary condition. OBJECTIVE OF THE PROJECT: Calculation of Flow Variables. Generation of blockMeshDict using the wedge boundary condition. Create the blockMeshDict file in MATLAB such that the mesh is automatically created for any wedge angle. Simulating…

AIM: To simulate an axisymmetric flow by applying the wedge boundary condition. OBJECTIVE OF THE PROJECT: Calculation of Flow Variables. Generation of blockMeshDict using the wedge boundary condition. Create the blockMeshDict file in MATLAB such that the mesh is automatically created for any wedge angle. Simulating…

AIM: To understand the concept need for interpolation schemes and flux limiters in FVM.   Methods of Discretization : 1. Finite difference method 2. Finite element method 3. Finite volume method   Infinite difference method: The grid is linear and aligned so that all grid points lie in a straight line. The main thing is…

AIM: To simulate an incompressible-laminar-viscous flow through the backward-facing step geometry. And to simulate with different mesh properties,  Case 1 - Simulate the flow without using any grading factor (i.e., GF = 1) Case 2 - Simulate the flow with a grading factor of 0.2. The cells should be…

AIM: To simulate 1D Super-sonic nozzle flow simulation using Macormack Method using Matlab code.   INTRODUCTION: Description: In this problem, we are going to see isentropic flow through a convergent-divergent nozzle. The flow from the inlet will be subsonic and as it comes to the throat section of the nozzle…

AIM: To solve steady-state and transient-state of 2D heat conduction problem using Implicit and Explicit by different iterative solvers. Methodology: Explicit Method; This method requires stable criteria which leads to a stable solution. Due to stable criteria, small-time steps have taken to obtain stable solutions, decrease…

AIM: To derive 4th order approximation using Taylor's table by Central difference, Skewed right-sided difference & Skewed left-sided difference. Central Difference method: `(del^2u)/(dx^2)=(a*f(i-2)+b*f(i-1)+c*f(i)+d*f(f+1)+e*f(i+2))/(dx^2)` -----------1 Talyor's Table for central difference method:…