Week 5 - Mid term project - Solving the steady and unsteady 2D heat conduction problem
The 2D conduction equation `(delT)/(delt) = alpha((del^2T)/(delx^2) + (del^2T)/(dely^2))` where `alpha` is the thermal diffusivity of material In Steady state flow the temperature does not change with time. Therefore the time derivative term is neglected `((del^2T)/(delx^2) + (del^2T)/(dely^2)) = 0` The…
Ajaikrishna Ramalingam
updated on 01 Jan 2021
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Read more Projects by Ajaikrishna Ramalingam (7)
Week 12 - Validation studies of Symmetry BC vs Wedge BC in OpenFOAM vs Analytical H.P equation
Objective : To Simulate the incomressible laminar flow through a pipe using OpenFoam Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical profile Validate maximum velocity and pressured drop for fully developed flow Post-process Shear…
16 May 2021 10:45 AM IST
Week 11 - Simulation of Flow through a pipe in OpenFoam
Objective : To Simulate the incomressible laminar flow through a pipe using OpenFoam Validate Hydro-dynamic length with the numerical result Validate the fully developed flow velocity profile with its analytical profile Validate maximum velocity and pressured drop for fully developed flow Post-process Shear stress and…
21 Apr 2021 08:34 AM IST
Week 9 - FVM Literature Review
Finite Volume Method The Finite Volume Method (FVM) is a discretization method for the approximation of a single or a system of partial differential equations expressing the conservation, or balance, of one or more quantities. As in the finite element method, a mesh is constructed, which consists…
21 Mar 2021 06:10 AM IST
Week 8 - Simulation of a backward facing step in OpenFOAM
BlockMesh Drill down Challenge: Objective : To simulate an incompressible-laminar-viscous flow through the backward facing step geometry. Case 1 - Simulate the flow without using any grading factor (i.e., GF = 1) Case 2 - Simulate the flow with grading factor of 0.2. The cells should be finer near the walls (includig the…
12 Mar 2021 04:25 AM IST
Week 7 - Simulation of a 1D Super-sonic nozzle flow simulation using Macormack Method
OBJECTIVE: To simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle and derive both the conservation and non-conservation forms of the governing equations and sovle them using the MacCormack's technique. Assumptions Made: 1. The flow is steady, isentropic through a convergent-divergent nozzle 2.…
03 Mar 2021 04:09 PM IST
Week 5 - Mid term project - Solving the steady and unsteady 2D heat conduction problem
The 2D conduction equation `(delT)/(delt) = alpha((del^2T)/(delx^2) + (del^2T)/(dely^2))` where `alpha` is the thermal diffusivity of material In Steady state flow the temperature does not change with time. Therefore the time derivative term is neglected `((del^2T)/(delx^2) + (del^2T)/(dely^2)) = 0` The…
01 Jan 2021 05:18 AM IST
Week 3 - Taylor table method and Matlab code
Derivation of 4th order approximation of second order derivative 1. Central Difference apprx `(del^2f)/(delx^2) = af(i-2) +bf(i-1)+cf(i)+df(i+1)+ef(i+2)` `f(i)` `Deltaxf'(i)` `Deltax^2f''(i)` `Deltax^3f'''(i)` `Deltax^4f''''(i)` `af(i-2)` `a` `-2a` `(4a)/2` `-(8a)/6` `(16a)/24` `bf(i-1)` `b` `-b` `b/2`…
22 Nov 2020 01:50 PM IST