Reynolds Averaged Navier Stokes equation summary

Objective : Numerical simulation of 1D supersonic nozzle flow using Macormack Method using conservative and non-conservative forms of equation Assumptions: 1. Flow inside the nozzle is assumed to be isentropic. 2. The flow is considered Quasi-1D as properties vary along the x axis and not the y axis. 3. Compreesibe flow…

1. Effect of Equivalence Ratio on Adiabatic Flame Temperature The python program was written to calculate AFT using Newton-Raphson Optimisation of the following function : f = (Enthalpy of products) - (Enthalpy of reactants) - R*((Number of moles of reactants)*T_stp - (Number of moles of products*T_ad)  = 0 (Refer…

Objective: To simulate flow through an elbow pipe with a throttle valve inside. This is a transient simulation as the valve inside will be moving. Procedure: A CAD model of the elbow joint with a throttle valve is imported into converge studio. A design disgnosis is run for any errors. Boundaries were flagged according…

Objective: Perform a shock tube simulation to detect shock waves formed due to bursting of a membrane that seperates a high pressure region and a low pressure region. The intention is to provide the following: Mesh refinement profile based on gradient (Adaptive-Mesh Refinement) Pressure profile Temperature Profile Velocity…

Objective :  The objective of this exercise is to simulate flow over a backward facing step using different mesh sizes. Backward Facing Step problem is a common problem used to test the validity and accuracy of CFD codes and softwares. Problem Specification : Inlet Pressure = 110325 Pa Inlet Temperature = 300K Outlet…

Objective Perform a compressor pump simulation to plot the characteristic performance curve of the pump by simulating the pump for various outlet mass flow rates. The purpose of plotting said performance curve is because it indicates pressure ratio the compressor can deliver for a given mass flow rate at peak efficiency.…

Objective Perform a supercharger simulation to plot the characteristic performance curve of the pump by simulating the pump for various pressure ratios. The purpose of plotting said performance curve is because it indicates mass flow the supercharger can deliver for a given pressure ratio at peak efficiency. Introduction…

Abstract A numerical method is used to solve an inverse heat conduction problem using finite difference method and one dimensional Newton-Raphson optimization technique. A thermocouple placed anywhere on the one dimensional rod will read the temperature at that point, this temperature when fed into the FORTRAN code can…

Objective: To simulate Prandtl Meyer Shock Waves using Converge Studio and see the effect of changing Initial Conditions, as well as changing Adaptive Mesh Refinement Literature Survey: 1. What is a shock wave? When an object moves at subsonic speed, the air particles upstream sense the change in energy downstream due…

The governing equations for the boundary layers are the Navier Stokes equation shown below: `(delu) / (delx) + (delv)/(dely) = 0` - Continuity Equation `rho((delu)/(delt) + u(delu)/(delx) + v(del u)/(dely))= -(drho)/(dx) + (mudel^2u)/(dely^2)` - Momentum Equation `rhoc((delT)/(delt) + u(delT)/(delx) + v(delT)/(dely))=…

Objectives: Creating the blockMeshDict file manually for the backward facing step geometry. Study the effect of mesh grading at the near the walls. Creating/Editing the blockMeshDict file The blockMeshDict file of the cavity tutrial is used to manually generate backward facing step geometry with various mesh gradings near…

Objective: To simulate flow through an elbow pipe with a throttle valve inside. Procedure: A CAD model of the elbow joint with a throttle valve is imported into converge studio. A design disgnosis is run for any errors.  Boundaries were flagged according to the problem specification. The following solver parameters…

Objective: The objective of this exercise is to be able to accurately simulate incompressible laminar flow through a pipe. Comparing 2 different types of boundaries in OpenFoam, symmetry and wedge. PART 1 Methodology: The domain chosen will make the exercise computationally very taxing, hence symmetry boundary condition…

Objective : Numerical simulation of 1D supersonic nozzle flow using Macormack Method using conservative and non-conservative forms of equation Assumptions: 1. Flow inside the nozzle is assumed to be isentropic. 2. The flow is considered Quasi-1D as properties vary along the x axis and not the y axis. 3. Compreesibe flow…

Objective 1 : Solving the 2D Heat Conduction Equation in steady state and unsteady(transient) forms using implicit and explicit schemes. 1. Steady State Solution schemes (Only Implicit): Gauss Jacobi Gauss Siedel Successive Over-relaxation 2. Transient Solution schemes: Matrix Inversion (Implicit) Explicit method Objective…