The Manning equation can be written for a rectangular open channel as Q= (√S 〖(BH)〗^(5⁄3))/(n〖(B+2H)〗^(2⁄3) ) Where, Q =flow [m3/s], S=slope [m/m], H=depth [m], and n = the Manning roughness coefficient. Use Newton’s Method to solve this equation for H given Q = 5, S = 0.0002, B = 20, and n = 0.03. Let H_0=1 and solve till 8 iterations, manually.
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The Manning equation can be written for a rectangular open channel as Q=√S(BH)5/3n(B+2H)2/3. where Q = flow [m3/s] S = slope [m/m], H = depth $, and n = the Manning roughness coefficient. Develop a fixed-point iteration scheme to solve this equation for H given Q = 5, S = 0.0002, B = 20, and n = 0.03.
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