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Electromagnetohydrodynamic (EMHD) Flow in a Microchannel with Random Surface Roughness.

Nailin Ma1, Yanjun Sun1,2, Yongjun Jian1

  • 1School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China.

Micromachines
|August 26, 2023
PubMed
Summary
This summary is machine-generated.

Small random wall roughness in microchannels reduces flow rate in electromagnetohydrodynamic (EMHD) flow. Flow rate and corrugation depend on fluid wavenumber and Hartmann number, with in-phase roughness increasing flow.

Keywords:
corrugation functionelectromagnetohydrodynamic (EMHD) flowmicrochannelrandom wall roughnessspectral density

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Area of Science:

  • Fluid dynamics
  • Electromagnetohydrodynamics (EMHD)
  • Microfluidics

Background:

  • Microchannel flow is crucial in various applications.
  • Wall roughness significantly impacts fluid behavior.
  • Electromagnetohydrodynamics offers unique flow control mechanisms.

Purpose of the Study:

  • To analyze the impact of random transverse wall roughness on EMHD flow in microchannels.
  • To quantify the deviation in flow rate caused by different roughness shapes.
  • To investigate the influence of fluid wavenumber and Hartmann number on flow characteristics.

Main Methods:

  • Application of the perturbation method based on stationary random function theory.
  • Integration of spectral density to obtain an exact solution for the corrugation function.
  • Expansion of various roughness functions (sinusoidal, triangular, rectangular, sawtooth) into Fourier sine series.

Main Results:

  • Wall corrugation, regardless of shape, leads to a decrease in flow rate.
  • Flow rate variations are significantly influenced by fluid wavenumber (λ) and Hartmann number (Ha).
  • In-phase roughness (θ = 0) results in lower flow resistance and increased flow rate compared to out-of-phase roughness (θ = π).

Conclusions:

  • Random transverse wall roughness detrimentally affects EMHD flow rate in microchannels.
  • The study provides a quantitative understanding of roughness effects, dependent on flow parameters.
  • Phase alignment of roughness offers a potential strategy for flow enhancement.