Abstract
The present study examines embedded open parallel microchannels within a micropatterned permeable surface for reducing entropy generation in MHD fluid flow in microscale systems. A local similarity solution for the transformed governing equations is obtained. The governing partial differential equations along with the boundary conditions are first cast into a dimensionless form and then the reduced ordinary differential equations are solved numerically via the Dormand-Prince pair and shooting method. The dimensionless entropy generation number is formulated by an integral of the local rate of entropy generation along the width of the surface based on an equal number of microchannels and no-slip gaps interspersed between those microchannels. Finally, the entropy generation numbers, as well as the Bejan number, are investigated. It is seen that surface-embedded microchannels can successfully reduce entropy generation in the presence of an applied magnetic field.
Highlights
Magnetohydrodynamics (MHD) has potential in many engineering branches, predominantly in the field of microfluidics, such as MHD micropumps [1,2], biological transportation, and drug delivery [3,4].A precise microfluidic application of the problem is micromixing technology which is vital in biological processes, especially in rapid mixing of a biological fluid in a microchannel [5]
MHD flow and heat transfer past a permeable surface with convective boundary conditions. They illustrated moving magnetic lines of force increases the fluid motion in the boundary layer flow since the free stream velocity, u∞, outside the boundary layer is affected by magnetic field, so it can push the boundary layer forward since the value of the free stream velocity is higher compared to the velocity inside the boundary layer region
The entropy generation in electrically conducting fluid flow past open parallel microchannels embedded in a micropatterned permeable surface subjected to a transverse magnetic field at a prescribed surface temperature (PST) is analysed
Summary
Magnetohydrodynamics (MHD) has potential in many engineering branches, predominantly in the field of microfluidics, such as MHD micropumps [1,2], biological transportation, and drug delivery [3,4]. The EBSM was developed for the first time by Naterer [24,25] who projected surface microprofiling to reduce energy dissipation in convective heat transfer This technique includes local slip-flow conditions within the embedded open microchannels and tends to drag reduction and lower exergy losses along the surface [25]. Yazdi et al [7] have investigated entropy generation analysis of electrically conducting fluid flow over open parallel microchannels embedded within a continuous moving surface in the presence of applied magnetic field where the free stream velocity was stationary and the fluid was moving by an external surface force. To evaluate the reduction of entropy generation by embedded open parallel microchannels within the permeable surface in order to reach a liquid transportation design in microscale MHD systems
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