The unsteady 3-D Navier-Stokes equations are shown here (you can see that there are 5 equations...

 

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The unsteady 3-D Navier-Stokes equations are shown here (you can see that there are 5 equations in vector form). What boundary conditions are you going to employ? b) Convert them into one-dimensional, heat-free inviscid flow equations. c) Convert these into equations for 3-D steady, incompressible flow without heat transfer. In this situation, how many equations and unknowns are there? What would you recommend in order to maintain the same number of equations and unknowns? d) To solve the two-dimensional steady, inviscid, incompressible, irrotational flows without heat transfer, convert the initial equation (conservation of mass) to the Laplace equation. Which (border) criteria will you apply? e) Out of these five equations, which one(s) will give the Bernoulli equation? მQ Ot + + ДЕ OF aG + GE OF + 8G, + θα By მა θα ay θα where 26 pu³ +p E = puv puw (p₁₁₂+p)u ρυ P pu ρυ ρω pe 0 Tzz E, Tsy 0 T+T+WT- puu F = pu+p ρυψ (pe+p)v рш pwu G = pwv W (pe₁+p)w Tys F. Ty Тул Tyz +Tyy+W Tyx-y Так G₁ = Tay T₁₂ The unsteady 3-D Navier-Stokes equations are shown here (you can see that there are 5 equations in vector form). What boundary conditions are you going to employ? b) Convert them into one-dimensional, heat-free inviscid flow equations. c) Convert these into equations for 3-D steady, incompressible flow without heat transfer. In this situation, how many equations and unknowns are there? What would you recommend in order to maintain the same number of equations and unknowns? d) To solve the two-dimensional steady, inviscid, incompressible, irrotational flows without heat transfer, convert the initial equation (conservation of mass) to the Laplace equation. Which (border) criteria will you apply? e) Out of these five equations, which one(s) will give the Bernoulli equation? მQ Ot + + ДЕ OF aG + GE OF + 8G, + θα By მა θα ay θα where 26 pu³ +p E = puv puw (p₁₁₂+p)u ρυ P pu ρυ ρω pe 0 Tzz E, Tsy 0 T+T+WT- puu F = pu+p ρυψ (pe+p)v рш pwu G = pwv W (pe₁+p)w Tys F. Ty Тул Tyz +Tyy+W Tyx-y Так G₁ = Tay T₁₂

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a Boundary Conditions for Unsteady 3D NavierStokes Equations The boundary conditions for the unsteady 3D NavierStokes equations typically depend on the specific physical problem being modeled However ... View the full answer