% transient implicit sor method l=1; b=1; nx= 10; ny=10; x= linspace(0,1,nx); y= linspace(0,1,ny); dx= x(2)-x(1); dy= y(2)-y(1); q= 1.4; t= ones(nx,ny); t(:,1)=400; t(1,:)= 600; t(:,end)= 800; t(end,:)= 900; told =t; % the old temperature values in the current time step tol= 1e-4; dt=…

The finite volume method is also called the control volume method. The finite volume method is more efficient than Finitedifference method and it could be employed for both uniform and non uniform grids. The finite volume method is a technique that transform partial differential equations representing conservation laws…

% function to estimate is exp(x)*cos(x). x= pi/3; dx= linspace(0.1,0.01,50); for i=(1:length(dx)) cds(i)= (-0.0833*exp(x-2*dx(i))*cos(x-2*dx(i)) + 1.3333*exp(x-dx(i))*cos(x-dx(i)) -2.5*exp(x)*cos(x) +1.3333*exp(x+dx(i))*cos(x+dx(i)) -0.0833*exp(x+2*dx(i))*cos(x+2*dx(i)))/(dx(i))^2; lds(i)= (3.75*exp(x)*cos(x) -12.8333*exp(x-dx(i))*cos(x-dx(i))…

Given conditions: inlet velocity= 1m/s outlet pressure should be taken as atmospheric pressure and the condition should be given as guage pressure = 0. The grading has to be given at the walls and they are captured even more precisely by the mesh cells which lead to accurate results at the walls The spacing between the…

  The quasi one dimensional nozzle flow Mackormack 1D flow is considered only along the x direction. The nozzle is a convergent divergent nozzle. The mach number at the throat Equations for the non conservative form of 1D Mackomarck method problem: continuity equation: `dρ/dt=−ρ∗dv/dx−ρ∗v∗d(lnA)/dx−v∗dρ/dx`…

The Hagen Poiseuilles equation describes the parabolic velocity profile of frictional laminar pipe flows of incompressible and newtonian fluids. The fluid enters the pipe with a certain velocity. As it just enters the pipe, the flow is in undeveloped state. As the fluid travels through the pipe, the velocity profile constantly…

In continuation to the previous project. Now in the boundary conditions there is a slight change. Instead of the wedge boundary condition, the symmetry boundary condition is used. The symmetry condition is used for the front and the back faces. The coordinates of the vertices, the order of defining the hex block and the…

Introduction to Backward Facing step: The Backward-Facing Step (BFS) flows, also called as “sudden expansion flows”, “circular expanding flow”, “back-step flow”, “diverging channel” or “backward flow” under some other occasions, involves the…

Throttle Valve: A throttle is simply any mechanism especially used for regulating the power or speed of the vehicle . Such as vehicles acceleration, speed etc. In automobiles, throttle valve is typically used in IC Engines. It is used to regulate the flow of fluid into the engine. The fuel is regulated depending upon the…

https://skill-lync.com/projects/steady-state-analysis-in-a-throttle-valve The link to the steady state analysis of a throttle valve project

Shock Wave:  When sound waves travel through a medium, it can travel with a speed that is either less than speed of sound which is called subsonic, nearly equal to speed of sound which is transonic and greater than the speed of sound which is supersonic.  Suppose fluid is travelling along a particular direction…

A butterfly valve is used for regulating the fluid passage by opening and closing depending upon the requirement. The butterfly valve disc is placed on the center of the pipe and a rod passes through the disc to an actuator on the outside of the valve.  Rotating the actuator turns the disc either parallel or perpendicular…

 Conjugate heat transfer analysis is a kind of heat transfer involving both solids and fluids. For example, if there is a solid that is immersed in water and to this solid heat is supplied externally. This solid heats up and in turn also heats the water it is immersed in. This process in which the heat from a solid…

Shock tube is a tube that has two regions separated by a diaphram. One side is the high pressure region and other side is a low pressure region. When the diaphram breaks, the flow happens from high pressure to the low pressure region. This results in generation of shocks in the low pressure region. When these walls strike…

Introduction: IC engines are complicated machines that are extremely sophisticated when it comes to their design. Normally before any engine is approved for public usage, a lot of testing has to happen before it goes for production. The experimental testing highly costly and also takes long time. Therefore computer simulations…

  Graph of the nozzle velocity   Graph of nozzle mach number     Contour of nozzle pressure     Nozzle temperature   Some Observations: 1) It can be seen that the pressure is higher at inlet and it decreases as the fluid goes from inlet to outlet 2) The temperature which is directly proportional…

A pitot tube is a flow measurement device used to measure fluid velocity. It is widely used to determine the air speed of an aircraft for instance and also useful to measure the velocities of air and gas in a certain flow field.   If fluid flows and we place a tube in its path, water raises to a certain height in…

`k-omega` model:In Computational Fludi Dynamics, the k–omega (k–ω) turbulence model is a common two-equation turbulence model, that is used as an approximation for the Reynolds averaged Navier stokes equations (RANS equations). The model attempts to predict turbulence by two partial differential…