Analytic Solution for MHD Falkner-Skan Flow over a Porous Surface

<table>Shear stress <svg height="22.15" id="M85" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 38.650002 22.15" width="38.650002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,17.65)"><use xlink:href="#x1D453"></use></g>
<g transform="matrix(.012,-0,0,-.012,10.975,9.488)"><use xlink:href="#x2032"></use></g><g transform="matrix(.012,-0,0,-.012,14.509,9.488)"><use xlink:href="#x2032"></use></g>
<g transform="matrix(.017,-0,0,-.017,18.662,17.65)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,24.544,17.65)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,32.703,17.65)"><use xlink:href="#x29"></use></g>
</svg> versus the stretching parameter <svg height="16.6625" id="M86" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 10 16.6625" width="10" 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)"><use xlink:href="#x1D6FD"></use></g>
</svg> for various values <svg height="14.2125" id="M87" style="vertical-align:-1.59705pt" version="1.1" viewbox="0 0 84.525002 14.2125" width="84.525002" 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)"><use xlink:href="#x1D706"></use></g><g transform="matrix(.017,-0,0,-.017,14.154,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,28.858,12.162)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,37.018,12.162)"><use xlink:href="#x2C"></use></g><g transform="matrix(.017,-0,0,-.017,43.732,12.162)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,51.892,12.162)"><path d="M113 -12q-24 0 -39.5 16t-15.5 42q0 24 16 40.5t40 16.5t40 -16.5t16 -40.5q0 -26 -16 -42t-41 -16z" id="x2E"></path></g><g transform="matrix(.017,-0,0,-.017,55.767,12.162)"><use xlink:href="#x35"></use></g><g transform="matrix(.017,-0,0,-.017,63.927,12.162)"><use xlink:href="#x2C"></use></g><g transform="matrix(.017,-0,0,-.017,70.624,12.162)"><use xlink:href="#x30"></use></g>
</svg>and <svg height="11.125" id="M88" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 30.299999 11.125" width="30.299999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.862)"><use xlink:href="#x2212"></use></g><g transform="matrix(.017,-0,0,-.017,10.041,10.862)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,18.2,10.862)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,22.076,10.862)"><use xlink:href="#x35"></use></g>
</svg>.</table>

Journal of Applied Mathematics

Analytic Solution for MHD Falkner-Skan Flow over a Porous Surface

Figure 7