Another Approach to the Extended Stokes’ Problems for the Oldroyd-B Fluid

<table>The relation between poles and <svg height="11.05" id="M84" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 11.025 11.05" width="11.025" xmlns="http://www.w3.org/2000/svg">
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<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">𝑠</tspan>
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<text transform="matrix(1,0,0,-1,-66.45,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑖</tspan>
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</g>
</svg> for the second problem for the case <svg height="14.6" id="M85" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 68.712502 14.6" width="68.712502" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-60.32)">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝜆</tspan>
<tspan style="font-size: 12.50px; " x="10.227454" y="0">&gt;</tspan>
<tspan style="font-size: 12.50px; " x="22.267843" y="0">𝜆</tspan>
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<text transform="matrix(1,0,0,-1,-42.91,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑟</tspan>
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<text transform="matrix(1,0,0,-1,-35.37,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">&gt;</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">0</tspan>
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</svg> with the condition <svg height="12.375" id="M86" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 83.012497 12.375" width="83.012497" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.375)">
<g transform="translate(72,-62.1)">
<text transform="matrix(1,0,0,-1,-71.95,65.27)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜔</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.44,62.15)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
<text transform="matrix(1,0,0,-1,-55.09,65.27)">
<tspan style="font-size: 12.50px; " x="0" y="0">&lt;</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">𝜔</tspan>
<tspan style="font-size: 12.50px; " x="24.018263" y="0">&lt;</tspan>
<tspan style="font-size: 12.50px; " x="36.058651" y="0">𝜔</tspan>
</text>
<text transform="matrix(1,0,0,-1,-10.51,62.15)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
</g>
</g>
</svg>.</table>

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fig5

Figure 5

Figure 5: Another Approach to the Extended Stokes’ Problems for the Oldroyd-B Fluid 