The present work concerns the steady and unsteady flow of an incompressible Reiner- Rivlin liquid in the porous annular region of two concentric rotating cylinders, which is moving parallel to their axis, about the common axis of these cylinders under uniform magnetic field acted in perpendicular direction of the axis. The electrically conducting flow of Reiner-Rivlin liquid in the annular porous region is governed by the Brinkman equation with the consideration that the effective viscosity of liquid is same as viscosity of the liquid. Analytical expressions for velocity components, pressure gradient and volumetric flow rate are established. Effects of the magnetic field and other flow parameters on the axial and rotational velocity components and flow rate are discussed graphically.
Deo, Satya and Kumar, Satish
(R1471) MHD Reiner-Rivlin Liquid Flow Through a Porous Cylindrical Annulus,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 16,
2, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol16/iss2/15