Header menu link for other important links
X
Spinning of a liquid film from a rotating disc in the presence of a magnetic field - A numerical solution
Published in
2001
Volume: 147
   
Issue: 1-4
Pages: 137 - 151
Abstract
A numerical solution is obtained for the development of a conducting fluid film on the surface of a spinning disc, in the presence of a magnetic field applied perpendicular to the disc. A finite-difference method is employed to obtain the solution of Navier-Stokes equations modified to include magnetic forces due to MHD interactions. The combined effects of film inertia, acceleration of the disc and magnetic forces are analysed. The numerical results reveal that the rate of thinning of the fluid film is strongly influenced by the inertial and magnetic forces when the Reynolds number is large and that the existing asymptotic theory by Ray and Dandapat [24] is inadequate for predicting transient film thickness. When the disc has a finite acceleration at the start-up, the magnetic and inertia effects are important even at low Reynolds numbers and the thinning rate is reduced. It is observed that for both low and high Reynolds number flows, the film thickness increases with Hartmann number M for a fixed time and the rate of depletion is less for large M than for small M.
About the journal
JournalActa Mechanica
ISSN00015970
Open AccessNo
Concepts (10)
  •  related image
    Boundary value problems
  •  related image
    Finite difference method
  •  related image
    KINEMATICS
  •  related image
    MAGNETOHYDRODYNAMICS
  •  related image
    Navier stokes equations
  •  related image
    Reynolds number
  •  related image
    Rotating disks
  •  related image
    SPIN COATING
  •  related image
    HARTMANN NUMBER
  •  related image
    Conductive films