Three numerical approximation for the function `f(x)=e^xcos(x)`. In this we basically solve for fourth order approximation for 2nd order derivative of the above function second derivative: `f''(x)=-2*e^xsin(x)` we solve for central differencing,skewed right and skewed left sided difference matrices A1,A2,A3 :…

Steady State Analysis and Transient State analysis In this we solve the the 2D heat conduction equation by using point iterative methods like Jacobi, Gauss siedel  and Sucessive Over-Relaxation. Given: The Boundary Conditions for the problem. Top Boundary 600K Bottom Boundary 900K left boundary 400K Right Boundary…

Stability Analysis in the unsteady(Transient) problem: To study: Effect of time step dt on stability of the solution of 2D heat conduction equation for both implict and explicit schemes In solving a unsteady state,the problem is that the solution changes with time that means the temp values change with time i.e `frac{delT}{delt}`…

Aim :To simulate the isentropic flow through a quasi 1D subsonic_supersonic nozzle by Macormack's technique. Objectives: Steady-state distribution of primitive variables inside the nozzle. Time-wise variation of the primitive variables Variation of Mass flow rate distribution inside the nozzle at different time steps during…

Aim : In this project we analyse the velocity profile of the geometry which have the following figure using Blockmesh in OpenFoam. Mesh specification Number of cells along the x direction (longer dimension) = 200 Number of cells along the y direction = 10 Use a graded mesh. Grading factor near all walls should be 0.2 figure:…

Finite Volume Method (FVM):  Finite volume method is a discretized method for approximation the system of partial differential equations. FVM method is used to solve the governing equation which are in intergral form. In FVM method we write equations for a volume instead of writing equation for a single point as in…

Aim: To create a MATLAB program to generate a computational mesh for any wedge angle and simulate the hagen poiseuille's flow for velocity and pressure drop. Description: The objective is to perform a simulation of the flow through a pipe using openFoam. In this we take a wedge of angle less than 5 degrees and make a solid…

Objective: In this we simulate the sector of pipe for different wedge angle thetha=10,25,45 in accordance to hagen poisuelles flow conditions with symmetry boundary condition and compare with the results obtained by different wedge angles. Hagen poiseuilles's flow equations: Hagen poiseuille's flow is a physical law that…

Aim: To set up a steady state simulation to find out the mixing effectiveness of short tee and long tee model when hot temperature inlet is at 36 degree celsius and cold inlet temperature is at 19 degree celsius.  Objective: To use the K-epsilon and K-omega sst model to simuate the model for different momentum ratio…

Aim: To simulate the flow over a cylinder and study the phenomenon of karman vortex street. Objectives: Simulate the flow over a cylinder and explain the phenomenon of Karman vortex street.   Simulate the flow with the steady and unsteady case and calculate the Strouhal Number for Re= 100.  Calculate the…

Objective: To study the importance of Ahmed body and to explain the reason for the negative pressure in the wake region. To run steady state simulation using a density based solver to simulate the flow over the ahmed body at a velocity of 25m/s To plot velocity and pressure contours and to plot a vector plot which clearly…

Aim: To simualate the conjugate heat transfer on a Exhaust port. Objectives:  To understand why and where a Conjugate heat transfer(CHT) analysis is used. To maintain the y+ value according to the turbulence model and justify the results. To calculate the wall/surface heat transfer coefficient on the internal solid…

Aim: To perform Rayleighs taylor instability by using two different material primarily water and air. Objectives: Explanation of practical CFD models that are based on mathematical analysis of Rayleighs Taylor waves. Perform RT instability anlaysis using Volume of fraction model on two different mesh sizes and compare…

Aim: To perform Conjugate heat transfer analysis on a graphics card: Introduction: In this project we will simulate conjagate heat transfer on graphic card. Graphics card is an essential component in computer and laptop so keeping it cool or at optimum temperature is needed for overall computer performance. It mainly has…

Aim: To perform analysis on cyclone separator and calculate the separator 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 diameter from 1 μm to  5 μm and…

Aim: Perform a parametric study on the gate valve simulation by setting the opening from 10 % to 80%. Objective: Obtain the mass flow rates at the outlet for each design point. Calculate the flow coefficient and flow factor for each opening and plot the graph. Discuss the results of the mass flow rate and flow coefficient.…

Aim: To perform a combustion simulation on the combustor model and plot the variation of the mass fraction of different species. Objective: Part I Perform a combustion simulation on the combustor model and plot the variation of the mass fraction of the different species’ in the simulation using line probes at different…

Aim : To simulate the ahmed body with slant height 25 and 35 degrees for drag and lift coefficient with velocity profile at different distances from inlet of the wind tunnel. Workflow: Make a ahmed body with different slant height according to the sketch Make a wind tunnel around the ahmed body. Make mesh with half of…

Aim : To perfrom topology cleanup along with geometric errors by setting up three different target lengths for three different cases. Prerequisite: Target lengths are 1mm,3mm,5mm                     Element type is Tria Workflow: Fix the geometric errors by patching the…

Aim: To volume mesh the turbocharger by clearing all the geometrical errors and Meshing each component at an individual mesh size. Objective: Surface mesh is performed with the given target length as per PID's Blade stage-1 = 1 mm Blade stage-2 = 1 mm Impeller = 2 mm Shaft rotor = 1 mm Turbo casing = 5 mm Compressor casing…

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…