Figure P5.75 shows a sharp-edged splitter plate used to control the flow of a liquid jet \(W\) units wide by \(H_{1}\) units high. Write expressions for the deflection angle \(\theta\) and the force \(F\) of the jet on the splitter plate as a function of the fluid density \(ho, H_{1}, W, V\), and plate insertion \(h\). This force \(F\) has no components parallel to the plate. Assume that the jet flow is inviscid, that the jet width \(W\) remains constant, \(H_{2} / H_{3}=H_{2}^{\prime} / H_{3}^{\prime}=h /\left(H_{1}-h\right)\), and constant fluid density.

Figure P5.75

A = WH Patm Patm 14 H H h -A = WH A3 = WH3 V Patm