Mathematical Modelling and Optimization of Engineering Problems by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9783030370626
Publisher: Springer International Publishing

5.2.2 Flow Configuration

Consider an unsteady two-dimensional flow of a viscous, incompressible and magneto-hydrodynamic (MHD) fluid in a porous medium bounded by two deformable walls of equal permeability parallel to the axial direction. The length of the walls is assumed to be infinitely greater than the distance between them. The parallel plates are located at a distance y = h(t) and y = −h(t) from the centre of the chamber. The chamber is closed on the left side and open on the right side to allow outflow. Due to the nature of the walls being permeable, fluid mass is able to flow in at the surface and flow out of the open face on the right while filtering particles. The inflow of the fluid through the permeable walls is minimal since the walls are weakly permeable. Furthermore, the permeable nature of the walls and the porous nature of the medium allow the fluid into the system through the walls and pores of medium, this is called injection (Fig. 5.1).

Fig. 5.1Coordinate system, bulk motion and velocity profile. Note: For this configuration, symmetric nature of flow is taken into account at y = 0

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