Analysis of non-laminar flows in coarse alluvial beds has a wide range of applications in various civil engineering, oil and gas, and geology problems. Darcy equation is not valid to analyze transient and turbulent flows, so non-linear equations should be applied. Non-linear equations are classified into power and binomial equations. Binomial equation is more accurate in a wide range of velocit...

9 10 11 12 13 14 15 16 17 18 Laboratory column experiments involving steady flow in homogeneous soil are often analyzed assuming that the flow is spatially uniform in any plane transverse to the longitudinal axis aligned with the column centerline. Axisymmetric steady flow in such a column was analyzed to determine the impact of radially nonuniform boundary conditions at the column entrance and...

This paper reports the construction of an axisymmetric nonpremixed piloted jet burner, with well-defined initial and boundary conditions, known as the Delft burner, to assess turbulence-chemistry interaction in non-premixed turbulent flames. Detailed experimental information is described, involving hot-wire anemometry, thin-wire thermocouples and chemiluminescence visualization measurements. Ra...

An analytic solution is presented to the three-dimensional problem of steady axisymmetric fluid flow through an accretion disk. The solution has been obtained through a systematic expansion in the small parameter ǫ = ¯ H/ ¯ R (the ratio of disk thickness to its radial dimension) of the equations of viscous hydrodynamics. The equation of state was assumed to be polytropic. For all values α < 0.6...

Recent experimental and simulation work has substantially advanced the understanding of L-mode plasma edge turbulence and plasma flows and their mutual interaction across the L–H transition. Flow acceleration and E × B shear flow amplification via the turbulent Reynolds stress have been directly observed in multiple devices, using multi-tip probe arrays, Doppler backscattering, beam emission sp...

Recent experimental and simulation work has substantially advanced the understanding of L-mode plasma edge turbulence and plasma flows and their mutual interaction across the L–H transition. Flow acceleration and E × B shear flow amplification via the turbulent Reynolds stress have been directly observed in multiple devices, using multi-tip probe arrays, Doppler backscattering, beam emission sp...

We simulate the magnetic feature-tracking (MFT) speed using axisymmetric advective– diffusive transport models in both one and two dimensions. By depositing magnetic bipolar regions at different latitudes at the Sun’s surface and following their evolution for a prescribed meridional circulation and magnetic diffusivity profiles, we derive the MFT speed as a function of latitude. We find that in...

We simulate the magnetic feature tracking (MFT) speed using axisymmetric advectivediffusive transport models in both one and two dimensions. By depositing magnetic bipolar regions at different latitudes at the Sun’s surface and following their evolution for a prescribed meridional circulation and magnetic diffusivity profiles, we derive the MFT speed as a function of latitude. We find that in a...

We conduct a global, weakly nonlinear analysis of the magnetorotational instability (MRI) in a Taylor-Couette flow. This is a multiscale perturbative treatment of the nonideal, axisymmetric MRI near threshold, subject to realistic radial boundary conditions and cylindrical geometry. We analyze both the standard MRI, initialized by a constant vertical background magnetic field, and the helical M...

The transverse velocities of steadily rotating, non–axisymmetric patterns in flat galaxies may be determined by a purely kinematical method, using two dimensional maps of a tracer surface brightness and radial current density. The data–maps could be viewed as the zeroth and first velocity moments of the line–of–sight velocity distribution, which is the natural output of integral– field spectrog...