<p>Magnetohydrodynamic flows in microchannels with heat and mass transfer are of considerable interest due to their applications in microfluidic devices, thermal management systems, biomedical engineering, and chemical processing. This study theoretically investigates the steady-state magnetohydrodynamic behavior and flow formation of a Newtonian viscous fluid flowing through a vertical microchannel with porous walls, incorporating both heat and mass transfer phenomena. The primary objective is to examine the combined effects of Hall and ion-slip currents, rarefaction, heat source/sink, chemical reaction, and wall suction/injection on the flow, thermal, and concentration fields within the slip flow regime. The governing coupled momentum, energy, and concentration equations, are solved analytically using complex-variable potential techniques together with the method of undetermined coefficients. Graphical representations using MATLAB highlight the impact of pertinent parameters on velocity, temperature, and concentration profiles. Findings indicate that combined electromagnetic effects and wall interactions significantly modify the thermal and solutal boundary layers. Specifically, increasing rarefaction, heat source/sink, and chemical reaction enhance both momentum and thermal penetration, while stronger Hall currents attenuate induced flow without significantly affecting the primary velocity. Moreover, wall injection reduces the buoyancy-driven force, suppresses both thermal and solutal transport, whereas suction enhances them. Generally, the results provide valuable insights into the control and optimization of microscale transport processes through electromagnetic and boundary-condition manipulation, with potential applications in advanced microfluidic and thermal systems.</p>

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Role of heat source/sink and chemical reaction on natural convection flow in a vertical porous microchannel with Hall current and ion slip

  • Abdulmalik A. Hussain,
  • Michael O. Oni

摘要

Magnetohydrodynamic flows in microchannels with heat and mass transfer are of considerable interest due to their applications in microfluidic devices, thermal management systems, biomedical engineering, and chemical processing. This study theoretically investigates the steady-state magnetohydrodynamic behavior and flow formation of a Newtonian viscous fluid flowing through a vertical microchannel with porous walls, incorporating both heat and mass transfer phenomena. The primary objective is to examine the combined effects of Hall and ion-slip currents, rarefaction, heat source/sink, chemical reaction, and wall suction/injection on the flow, thermal, and concentration fields within the slip flow regime. The governing coupled momentum, energy, and concentration equations, are solved analytically using complex-variable potential techniques together with the method of undetermined coefficients. Graphical representations using MATLAB highlight the impact of pertinent parameters on velocity, temperature, and concentration profiles. Findings indicate that combined electromagnetic effects and wall interactions significantly modify the thermal and solutal boundary layers. Specifically, increasing rarefaction, heat source/sink, and chemical reaction enhance both momentum and thermal penetration, while stronger Hall currents attenuate induced flow without significantly affecting the primary velocity. Moreover, wall injection reduces the buoyancy-driven force, suppresses both thermal and solutal transport, whereas suction enhances them. Generally, the results provide valuable insights into the control and optimization of microscale transport processes through electromagnetic and boundary-condition manipulation, with potential applications in advanced microfluidic and thermal systems.