Eigen Values : An eigen vector of square matrix A is a non zero vector v that ,when the matrix is multiplied by v,yield a constant multiple of v. The constant multiple is the eigen value. Heuristically eigen vectors gives you the direction of spread of data ,while eigen value is the intensity of spread in…

Conjugate heat transfer: Many engineering applications includes the physics of conjugate heat transfer. Few examples of such are Heat exchangers, HVAC and electronic componant design.  Project Description: The purpose of this project is to model heat dissipation from a hot electronics component fitted to a printed…

  Project Aims: 1).Construction of backward facing step using block combinations with mesh drill down in the openfoam blockmesh dictionary file. 2).Interpolation of parameters using plot over line.In this case, velocity profiles are being observed. 3).Effect of mesh grading factors in observing the phenomena involved…

Solving 2-D heat conduction equation under steady state  and transient state conditions   Definitions   Heat transfer:                  It is the transfer of thermal energy from a body at a high temperature to another at a lower temperature. Thermal conduction:…

Fluid Mixing: Physical applications ranging from supernova explosions to genetic structure formations all are based on fluid mixing phenemenon. Perturbations in a multifluid system grow due to buoyancy and shear driven instabilities at an interface between distinct fluids. Instabilities produce turbulent mixing zones consisting…

  Objective : To simulate flow through a wedge section of a cylindrical pipe and compare the radial velocity profiles along the pipe .  Also, compare the analytical values and simulation values of maximum velocities for each of the wedge angles. Calculate the error percentage between two values .   …

Flow over a circular cylinder: Because of their many practical applications,external flow past objects have been studied rigorously up-to-date. Examples like, airfoils are made into streamline shapes based on this studies in order to increase the lifts, and simultaneously decreasing the aerodynamic drags exerted on wings.…

Finite volume interpolation schemes: By integration of the governing equations over the control volume leads to a discretised equation at its nodal point P. The general form of this equation in one dimension for a convection diffusion problem is: `a_P phi_P = a_Wphi_W+a_Ephi_E+S_u`  Equation of this form is setup…

Ahmed vehicle model and its salient features: Wakes of ground vehicles are the important study for vehicle aerodynamics ,as the impact of aerodynamic drags on the power consumption of vehicle is highly unpredictable. As the complexity of flow around the ground vehicles is huge and also turbulent, evaluation of essential…

      The main emphasis of performing this simulation is : To observe the mixing effectiveness of two different temperatures of air entering through different inlets at different velocities in a tee shaped geometry To study the mixing effectiveness by calculating the standard deviation and area weighted…

Conjugate Heat Transfer: It is a coupled approach that solves for both the solid and fluid domains in a coincidental manner. It helps in determining the temperature at fluid-solid interface through thermal coupling of the two domains. The coupling involves three primary modes of heat transfer :Conduction,convection and…

To solve: Solve the fourth order approximation of second order derivative for  function exp(x) * cos(x) using skewed left handed , right - handed and symmetrical central difference scheme   These are the values of the coefficients of 6 point scheme(including from f(x)) that are derived using taylors table method.…

  Accomplishment in the project: Numercial solutions are obtained for quasi-one dimensional subsonic-supersonic isentropic nozzle flow using a cfd technique named MacCormack's technique.   Heuristically speaking: a). We are taking a flow problem with a known analytic solution which is a steady ,isentropic quasi…

To solve: one-dimensional linear convection equation using different grid sizes. Final goal of the challenge: Comparison between the intial velocity and final velocity profiles of the n-array. Syntax to solve the PDE of 1D-linear convection equation with the data specified in challenge: ##Solving the one-dimensional linear…