7. Manning gives: Q = = 1/1000; Table 8.1 in text book gives n = 0.013 for So1/2∙A∙R2/3/n; So cement mortar. A = where y is the required depth. P = 1.0 + = 1.0∙y+2∙1/2∙2∙y∙y 2∙y∙√(1+22); R This gives the flow: (y+2y2)/(1+2∙y∙√5). Q = Trial and error for Q=2 gives 0.0011/2∙(1.0∙y+2∙y2) ∙ ((1.0∙y+2∙y2)/((1+2∙y∙√5)))2/3/0.013. m. y≈0.6 8.
7. Manning gives: Q = So1/2∙A∙R2/3/n; So = 1/1000; Table 8.1 in text book gives n = 0.013 for cement mortar. A = 1.0∙y+2∙1/2∙2∙y∙y where y is the required depth. P = 1.0 + 2∙y∙√(1+22); R = (y+2y2)/(1+2∙y∙√5). This gives the flow: Q = 0.0011/2∙(1.0∙y+2∙y2) ∙ ((1.0∙y+2∙y2)/((1+2∙y∙√5)))2/3/0.013. Trial and error for Q=2 gives y≈0.6 m. 8.
exam_2010.docx