Premium
Hydromagnetic Flow in Thin Films of Liquid with a Rheological Power‐Law
Author(s) -
Roy S. K.,
Agarwal J. P.
Publication year - 1981
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19810610904
Subject(s) - hartmann number , mechanics , newtonian fluid , magnetic field , non newtonian fluid , power law fluid , power law , flow (mathematics) , dilatant , flow velocity , materials science , rheology , classical mechanics , physics , thermodynamics , mathematics , nusselt number , turbulence , statistics , quantum mechanics , reynolds number
The problem of determining the flow characteristics of a thin film of conducting non‐Newtonian power‐law liquid adhering to a vertical plate in the presence of a magnetic field has been investigated for two cases, namely, the plate stationary and the plate withdrawn with a constant velocity from a liquid bath. It is found that the effect of increase in magnetic field is to decrease the velocity in the case of stationary plate and to increase the velocity in the case of moving plate. The flow rate of the film, however, decreases with increase in the magnetic field in both the cases, and the flow of the film is thereby restricted. Moreover, when a dilatant liquid film flows along a stationary plate, there is found to exist a critical value of the generalized Hartmann number, and if the generalized Hartmann number exceeds its critical value, there appears a zone near the free surface in which the liquid flows like a quasi‐solid body. This zone widens with the increase in the generalized Hartmann number.