Expand in two-dimensional Dv 1 Dt P Cartesian coordinates the following system of equations: (equation of...

 

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Expand in two-dimensional Dv 1 Dt P Cartesian coordinates the following system of equations: (equation of motion) Vp+w²v+f ᎠᎾ pcp Dt V.v=0 (mass conservation) kV²0+ (energy equation) where =2uD: D is the viscous dissipation rate. Non-dimensionalize the above system of equations, by using Las a length scale, U as a velocity scale, g as a body force scale, as a temperature scale. Determine and interpret the non-dimensional numbers, identify the limiting cases. Expand in two-dimensional Dv 1 Dt P Cartesian coordinates the following system of equations: (equation of motion) Vp+w²v+f ᎠᎾ pcp Dt V.v=0 (mass conservation) kV²0+ (energy equation) where =2uD: D is the viscous dissipation rate. Non-dimensionalize the above system of equations, by using Las a length scale, U as a velocity scale, g as a body force scale, as a temperature scale. Determine and interpret the non-dimensional numbers, identify the limiting cases.