Magneto-fluid-mechanic pipe flow in a transverse magnetic field. Part 1. Isothermal flow

Abstract

An experimental investigation was conducted in a circular pipe to examine the influence of a transverse magnetic field on the structure of turbulent shear flow of a conducting fluid (mercury). In the present paper, part 1, mean velocity profiles, turbulence intensity profiles, velocity fluctuation spectra, axial pressure drop profiles, and skin friction data are presented which quantitatively exhibit the Hartmann effect and damping of the velocity fluctuations over a broad range of Reynolds numbers and magnetic fields. The results of heat transfer experiments will be reported by the authors in the following paper, part 2.

A direct-numerical-simulation-based second-moment closure for turbulent magnetohydrodynamic flows

“…It is interesting to note that very similar distribution of the friction coefficient c f is shown in Gardner and Lykoudis 23 for a pipe flow subjected to transversal magnetic field. This ''transitional'' region was explained in terms of the ''final damping of the fluctuations near the wall.''…”

Study of Incompressible MHD Flow in a Circular Pipe with Transverse Magnetic Field using a Spectral/Finite Element Solver

“…At low Reynolds number, we did not observe the particular pattern of quasi-laminar flow observed at higher Reynolds number in a square duct. 24 The transition between turbulent and laminar regimes was found to occur around Re/2Ha ∼ 250, which is in good accordance with previous works 7,11 . Velocity profiles in the direction parallel to the magnetic field flatten as the Hartmann number increases.…”

“…The experimental study of the MHD pipe flow began in 1937 with Hartmann 3 . In the 60's-70's, numerous experiments 4,5,6,7,8 were conducted on several configurations (non conductive wall or with finite conductivity -transverse or longitudinal magnetic field). In the late 90's and early 2000's, numerical results began to appear 9,10,11 .…”

Numerical Study of Turbulent Pipe Flow with Transverse Magnetic Field Using a Spectral/Finite Element Solver

“…The laminar results fits with a line of higher slope than the theoretical value of 3π/8 found by Shercliff. This discrepancy between theoretical and numerical/experimental slope was also observed by [5,6]. …”

“…In the 60's-70's, numerous experiments [4,5,6] were conducted on several configurations (non conductive wall or with finite conductivity -transverse or longitudinal magnetic field). In the late 90's and early 2000's, numerical results began to appear [7,8,9].…”