Solving the steady state 2D heat conduction problem

The following table delineates the given conditions from which the required parameters are calculated. Utilizing the above expressions, the respective formulae (found on the tabulation below) were used to obtain the parameters required in the question. It was found that the desired anti-roll bar stiffness (F_arb) was lower…

1. The following parameters were given as inputs for the given challenge and the respective variables are assigned.    The tire is assumed to be infinitely rigid. 1. NO COMPENSATION: In order to calculate the pitching motion, we start by calculating the Load transfer in lbs, given by the formula tabluted…

OBJECTIVE: To implement Conservative and Non Conservative forms in form of code to solve the 1D Suersonic nozzle flow problem  To perform a grid dependance test for n=31 and 61  and calculate the mass flow rate between the two and see which of the two forms is faster. BACKGROUND: The flow coming through the Inlet…

 TARGET OF THE PROJECT: To determine the Eigen values and spectral radius of the iterative matrix using iterative methods such as Jacobi,Gauss Seidel and SOR methods and observing the changes being made to the spectral radius by changing the magnification factor of the diagonal matrix in increments of 1.1. EIGEN VALUES…

TRANSIENT STATE ANALYSIS The 2D heat conduction for the transient state is given by `(delT)/(delt)- alpha((del^2T)/(delx^2)+(del^2T)/(dely^2))=0`   discretizing the temporal terms by forward differencing `(delT)/(delt)=(T^(n+1)i,j-T^ni,j)/(Deltat)` discretizing the spatial terms by central differencing `(del^2T)/(delx^2)=…

The purpose of this project is to implement point iteratives techniques such as Jacobi,Gauss Seidel and Successive Over-Relaxation to the 2D heat conduction equation respectively.   STEADY STATE SOLUTION Derivation When in the case of a steady state solution, convection, internal heat conduction and dissipation is…

  CENTRAL DIFFERENCING SCHEME: Since CDS uses points on either side, the equation is as follows `(del^2f)/(delx^2)~= a.f(i-2)+ b.f(i-1)+c.f(i)+d.f(i+1)+e.f(i+2)`  (assuming this is equation 1) The taylor table is tabulated below                 f(i)     …

THE EFFECT OF TIME STEP ON THE SOLUTION: Given n=80;  t=0.4 s at time steps 1e-1,1e-2,1e-3 and 1e-4. Below is a graph comparing the various timesteps versus solution time.       The solution with timestep 1e-2 is shown to have minimal simulation time whereas the solution with  1e-4 as its timestep…

The 1 Dimensional wave equation is given by `(delu)/(delt)+c.(delu)/(delx)=0` The following are the parameters given: `=1 m; c=1; dt=0.01; n=20,40,80 and 160`             dt.nt=0.4 s The following are the results obtained after the code is run for different values of n and dx. 1) For…