On the Perturbation of the Three-Dimensional Stokes Flow of Micropolar Fluids by a Constant Uniform Magnetic Field in a Circular Cylinder

<table>Variation of parameter <svg height="11.05" id="M562" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 16.5375 11.05" width="16.5375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.05)">
<g transform="translate(72,-63.16)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜒</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.39,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑐</tspan>
</text>
</g>
</g>
</svg> with the magnetic field <svg height="10.325" id="M563" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 15.175 10.325" width="15.175" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan>
</text>
</g>
</g>
</svg> and the volumetric concentration of magnetic particles <svg height="13.425" id="M564" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 10.2 13.425" width="10.2" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.425)">
<g transform="translate(72,-61.26)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜙</tspan>
</text>
</g>
</g>
</svg>, where the plot corresponds to fully developed flow of a micropolar fluid.</table>

Mathematical Problems in Engineering

fig4

Figure 4

Figure 4: On the Perturbation of the Three-Dimensional Stokes Flow of Micropolar Fluids by a Constant Uniform Magnetic Field in a Circular Cylinder 