Series Solution for Steady Three-Dimensional Flow due to Spraying on Inclined Spinning Disk by Homotopy Perturbation Method

<table>The temperature gradient on the disk (<svg height="15.4125" id="M138" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.875 15.4125" width="30.875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.4125)">
<g transform="translate(72,-59.67)">
<text transform="matrix(1,0,0,-1,-71.95,61.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.4,67.01)">
<tspan style="font-size: 8.75px; " x="0" y="0"></tspan>
</text>
<text transform="matrix(1,0,0,-1,-61.92,61.94)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">)</tspan>
</text>
</g>
</g>
</svg>) obtained by the 8th-order approximation of the HPM for different values of the Prandtl number.</table>

Journal of Applied Mathematics

fig7

Figure 7

Figure 7: Series Solution for Steady Three-Dimensional Flow due to Spraying on Inclined Spinning Disk by Homotopy Perturbation Method 