Week 12 - Validation studies of Symmetry BC vs Wedge BC in OpenFOAM vs Analytical H.P equation
Aim : To validate the HP equations with symmetry Boundary conditions
Results :
keeping angle at 10 degrees
validation of Hydro-dynamic length
It has become constant at x = 0.94 m.
analytical value of hydraulic length = 0.94 m.
`Re = (rho*V*D)/mu`
V = 0.125 m/s
Vmax = 2*Vavg = 2*0.125 = 0.25 m/s
numerically, Vmax = 0.216 m/s
fully developed velocity profile
pressure drop
`p1 - p2 = 32*mu*v*L/d^2`
Numerical kinematic pressure drop = 0.047 Pa
Theoretical pressure drop = 0.039 Pa
Shear-stress
analytical shear stress = 0.059 N/m^2
Numerical max - shear stress = 0.061 N/m^2
Results at 25 degree
validation at hydro-dynamic length
at x = 0.2 m
Velocity max = 0.219 m
fully developed flow profile
pressure drop
pressure drop = 0.049 pa
shear stress
shear stress = 0.062 N/m^2
Results at 45 degree
validation at hydro-dynamic length
at x = 0.2 m
Velocity max = 0.222 m
fully developed flow profile
pressure drop
pressure drop = 0.053 pa
shear stress
shear stress = 0.065 N/m^2
Final Table
Conclusion:
1. As the angle increases, velocity profile becomes more accurate and thus losses reduces.
2. As the angle increases, error in pressure and shear stress increases.