Open-Water Thrust and Torque Predictions of a Ducted Propeller System with a Panel Method

<table>Blade chordwise pressure distribution at <svg height="14.85" id="M137" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 73.025002 14.85" width="73.025002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M393 379q-9 -16 -28 -29q-15 -10 -23 -2q-19 19 -36 19q-21 0 -52 -38q-57 -72 -82 -126l-40 -197q-23 -3 -75 -18l-7 7q49 196 74 335q7 43 -2 43q-7 0 -30 -14.5t-47 -37.5l-16 23q37 42 82 73t67 31q41 0 15 -113l-11 -50h4q41 71 85 117t77 46q29 0 45 -26
q13 -21 0 -43z" id="x1D45F"></path></g><g transform="matrix(.017,-0,0,-.017,7.236,12.012)"><use xlink:href="#x2F"></use></g><g transform="matrix(.017,-0,0,-.017,14.239,12.012)"><use xlink:href="#x1D445"></use></g><g transform="matrix(.017,-0,0,-.017,29.895,12.012)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,44.599,12.012)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,52.759,12.012)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,56.634,12.012)"><path d="M244 635q90 0 143 -72t53 -177q0 -133 -65 -229.5t-171 -139.5q-79 -32 -140 -32l-5 30q109 18 185 91t101 186l-68 -36q-29 -16 -60 -16q-79 0 -129 51.5t-50 130.5q0 80 57 146.5t149 66.5zM228 602q-52 0 -78 -45.5t-26 -98.5q0 -69 36.5 -115.5t97.5 -46.5
q53 0 90 28q4 31 4 66q0 51 -9.5 95.5t-39 80.5t-75.5 36z" id="x39"></path></g><g transform="matrix(.017,-0,0,-.017,64.794,12.012)"><use xlink:href="#x35"></use></g>
</svg> (a). Duct chordwise pressure distribution at <svg height="12.4375" id="M138" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 36.174999 12.4375" width="36.174999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><path d="M475 507q0 -83 -20 -172t-56 -167.5t-93.5 -129t-125.5 -50.5q-157 0 -157 227q0 78 21.5 164t59 161t96.5 123.5t126 48.5q79 0 114 -58t35 -147zM391 522q0 155 -81 155q-62 0 -111 -82.5t-73 -200.5h253q12 81 12 128zM373 346h-255q-12 -91 -12 -150q0 -72 20 -123
t63 -51q34 0 64 28.5t52.5 77t39 103t28.5 115.5z" id="x1D703"></path></g><g transform="matrix(.017,-0,0,-.017,13.237,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,27.94,12.162)"><use xlink:href="#x30"></use></g>
</svg> degrees (b). Influence of wake model. Ka4-70 inside duct 19Am at <svg height="13.6375" id="M139" style="vertical-align:-1.97925pt" version="1.1" viewbox="0 0 47.512501 13.6375" width="47.512501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><use xlink:href="#x1D43D"></use></g><g transform="matrix(.017,-0,0,-.017,12.54,11.113)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,27.244,11.113)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,35.403,11.113)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,39.279,11.113)"><use xlink:href="#x35"></use></g>
</svg>. Gap model with transpiration velocity.</table>

International Journal of Rotating Machinery

fig12

Figure 12

Figure 12: Open-Water Thrust and Torque Predictions of a Ducted Propeller System with a Panel Method 