Z0 ta.rho0*ta.c Characteristic impedance k0 ta.omega/ta.c Acoustic wave number kv sqrt(-i*ta.omega*ta.rho0/ta.mu) Viscous wave number kth sqrt(-i*ta.omega*ta.rho0*ta.Cp/ta.kcond) Thermal wave number Pv 1-cos(kv*z)/cos(kv*H/2) Scalar viscous field Pth 1-cos(kth*z)/cos(kth*H/2) Scalar thermal field Uana -Pv*(pin/L)/(i*k0*Z0) Analytical x-velocity profile Tana Pth*(pin/2)/(ta.rho0*ta.Cp) Analytical temperature profile