Any & feature in steady-state condition is shown in Fig. 1-Dimensional flow is transferred over the...

 

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Any & feature in steady-state condition is shown in Fig. 1-Dimensional flow is transferred over the field by convection and diffusion. The 1-Dimensional convection diffusion equation in steady state representing the problem in question is given. Solve this equation using the Finite Volume Method under the given boundary conditions. When calculating the fluxes of the feature (diffusion and convection) at the control volume surface, use each of the Central Differencing, Upwind, Hybrid, Power-law and QUICK interpolation techniques to compare and interpret the results for the following cases: Case 1: u = 1 m/s and 5 nodes Case 2: u = 12 m/s and 5 nodes Case 3: u = 12 m/s and 15 nodes φ = 1 x = 0 Given values: L=1m, p=1 kg/m3, I = 1 kg/ms d dx - : (pud) = a (rap) dx dx น p = 0 x = L Any & feature in steady-state condition is shown in Fig. 1-Dimensional flow is transferred over the field by convection and diffusion. The 1-Dimensional convection diffusion equation in steady state representing the problem in question is given. Solve this equation using the Finite Volume Method under the given boundary conditions. When calculating the fluxes of the feature (diffusion and convection) at the control volume surface, use each of the Central Differencing, Upwind, Hybrid, Power-law and QUICK interpolation techniques to compare and interpret the results for the following cases: Case 1: u = 1 m/s and 5 nodes Case 2: u = 12 m/s and 5 nodes Case 3: u = 12 m/s and 15 nodes φ = 1 x = 0 Given values: L=1m, p=1 kg/m3, I = 1 kg/ms d dx - : (pud) = a (rap) dx dx น p = 0 x = L

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To solve the 1dimensional convectiondiffusion equation using the Finite Volume Method FVM with different interpolation techniques we need to follow th... View the full answer