TY - JOUR
T1 - Scalar statistics in variable property turbulent channel flows
AU - Patel, Ashish
AU - Boersma, Bendiks Jan
AU - Pecnik, Rene
PY - 2017
Y1 - 2017
N2 - Direct numerical simulation of fully developed, internally heated channel flows with isothermal walls is performed using the low-Mach-number approximation of Navier-Stokes equation to investigate the influence of temperature-dependent properties on turbulent scalar statistics. Different constitutive relations for density ρ, viscosity μ, and thermal conductivity λ as a function of temperature are prescribed in order to characterize the turbulent scalar statistics. It is shown that the dominant effect caused by property variations on scalar statistics can be parameterized by two nondimensional parameters, namely the semilocal Reynolds number Re★τ≡Reτ√(¯ρ/ρw)/(¯¯μ/μw) (the bar and subscript w denote Reynolds averaging and wall value respectively, while Reτ is the friction Reynolds number based on wall values), and the local Prandtl number Pr★=Prw(¯¯μ/μw)/(¯λ/λw) (Prw is the molecular Prandtl number based on wall values). Near-wall gradients in Re★τ modulate the turbulent heat flux generation mechanism because of structural changes in turbulence. However, the influence of these modulations on the inner scaling of turbulent heat conductivity normalized by local mean viscosity is shown to be weak. Using this observation, a temperature transformation is derived that is invariant of Re★τ variations and only exhibits a Pr★-dependent shift.
AB - Direct numerical simulation of fully developed, internally heated channel flows with isothermal walls is performed using the low-Mach-number approximation of Navier-Stokes equation to investigate the influence of temperature-dependent properties on turbulent scalar statistics. Different constitutive relations for density ρ, viscosity μ, and thermal conductivity λ as a function of temperature are prescribed in order to characterize the turbulent scalar statistics. It is shown that the dominant effect caused by property variations on scalar statistics can be parameterized by two nondimensional parameters, namely the semilocal Reynolds number Re★τ≡Reτ√(¯ρ/ρw)/(¯¯μ/μw) (the bar and subscript w denote Reynolds averaging and wall value respectively, while Reτ is the friction Reynolds number based on wall values), and the local Prandtl number Pr★=Prw(¯¯μ/μw)/(¯λ/λw) (Prw is the molecular Prandtl number based on wall values). Near-wall gradients in Re★τ modulate the turbulent heat flux generation mechanism because of structural changes in turbulence. However, the influence of these modulations on the inner scaling of turbulent heat conductivity normalized by local mean viscosity is shown to be weak. Using this observation, a temperature transformation is derived that is invariant of Re★τ variations and only exhibits a Pr★-dependent shift.
KW - Boundary layers
KW - Forced convection
KW - Turbulence
KW - Fluid Dynamics
UR - http://resolver.tudelft.nl/uuid:a6fbc4f8-e78c-4cc9-a748-73c0c1735244
U2 - 10.1103/PhysRevFluids.2.084604
DO - 10.1103/PhysRevFluids.2.084604
M3 - Article
SN - 2469-990X
VL - 2
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 8
M1 - 084604
ER -