Impact of magnetic field on tangent hyperbolic liquid flow through a permeable channel with heat transfer: Application to dialyzer

Abstract

The creeping flow of a tangent hyperbolic liquid via a channel of porous walls is discussed in this article. For the formulation of problem, the laws of conservation of mass, momentum, and energy are used. A description of fluid leakage through channel walls is provided by Darcy's law. An analytical solution to the equations of motion is determined with appropriate physical approximations by applying the perturbation technique. Expressions for the hydrostatic pressure, velocity field, and temperature are found. The flow characteristics of tangent hyperbolic fluid are affected by the filtration coefficient and inlet pressure, which are also discussed. Graphs are used to discuss the effects of the inlet pressure, the Wiessenberg number, the magnetic field, the law index, the Brickman number, and the wall filtration parameter on the flow characteristics. The mean pressure difference is shown to be increased by the magnetic field. The derived data are used in a flat plate hemodialyzer to investigate the filtrate flow. The theoretical values for the hemodialyzer's mean pressure difference and filtration rate are computed using the derived solutions. A reasonable agreement is established between the calculated results and the experimental data. It is determined that the fluid flow in a flat plate hemodialyzer can be studied hydrodynamically using the model that is presented. A flat plate hemodialyzer's filtrate flow is examined by using the results that were obtained.