Abstract
The steady-state problem of a magnetic fluid filling a porous annulus between two cylindrical walls under the influence of a nonuniform radially outward magnetic field has been investigated. The cylindrical walls are either electrically perfectly insulated or electrically perfectly conducting. The permeability of the porous annulus increases with its radial location. The governing partial differential equations were derived carefully and closed form solutions for the profiles of the velocity component and the induced magnetic component were obtained. The effect of the strength of the externally applied magnetic field, the permeability of the porous annulus, and the conductivity of the cylindrical walls were examined through the angular velocity components, as well as the induced magnetic field.
Highlights
The effects of magnetic field on an electrically conducting fluid have great importance because of their recent applications related to MHD generators [1, 2], geothermal energy excitations [3, 4], plasma controls [5,6,7], MHD boundary layer controls [8,9,10], and so forth
To validate the solutions presented in the previous section, these solutions have been compared to the analytical solution for a flow between a set of rotating cylinders [36]
The main purpose of this paper is to study how the strength of the externally applied magnetic field; the permeability of the porous annulus; and the conductivity of the inner and outer cylinders affect the flow behaviors and magnetic field induction within the magnetic fluid
Summary
The effects of magnetic field on an electrically conducting fluid have great importance because of their recent applications related to MHD generators [1, 2], geothermal energy excitations [3, 4], plasma controls [5,6,7], MHD boundary layer controls [8,9,10], and so forth. MHD Couette flow is one of best examples. It deals with a conducting fluid filled between two infinite planes where an external magnetic field is applied across these planes. It has been confirmed that the presence of the external magnetic field induces a Lorentz force which either accelerates or decelerates the flow elements between the planes. The flow behaviors depend strongly on the electrical properties of the planes [11]. The performances of the MHD flow in ducts and pipes have been studied quite thoroughly [12,13,14,15,16]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
