On The Steady Incompressible Laminar Saltwater Flow In Minkowski 2-D Subspace Continuum Through A Rectangular MHD Micro-pump
| Autor: | Aly Maher Abourabia, Sara Ali Abdel Moneim |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
010302 applied physics
Physics Metals and Alloys Laminar flow 02 engineering and technology Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Surfaces Coatings and Films Electronic Optical and Magnetic Materials Volumetric flow rate Physics::Fluid Dynamics Momentum Flow velocity Flow (mathematics) 0103 physical sciences Fluid dynamics Boundary value problem Electrical and Electronic Engineering 0210 nano-technology Instrumentation Pressure gradient |
| Zdroj: | Sensors and Actuators A: Physical. 303:111703 |
| ISSN: | 0924-4247 |
| DOI: | 10.1016/j.sna.2019.111703 |
| Popis: | Background The problem of a steady, incompressible and fully developed laminar fluid flow is discussed. This study focuses on the predictions of the pumping performance of 1 M NaCl solution. Method The corresponding Navier-Stokes momentum (MHD) equations are solved analytically by introducing a new ansatz combining the wave-position characters of the flow modelled in Minkowski 2-D subspace continuum subjected to suitable boundary conditions. Results Solving for the velocity profile of the working fluid across the micro-channel; the obtained solutions which include the dimensional flow velocity, volumetric flow rate, average velocity and pressure gradient are plotted under various operating currents, magnetic flux densities and micro-channel aspect ratio values. Conclusions Our results provide that increasing high ratios of the electrode to channel lengths serves to attain more coverable channel area. It is also noted that an excess of the applied fields tends to compensate the velocity degradation for deep channel configuration. Graphics show that the decreased friction force between the channel top and bottom is a preferable factor to improve the process in practice. Our results may be useful to shed light on studying the microfluidic systems flow. |
| Databáze: | OpenAIRE |
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