Open Channel Flow (mannings equation) rectangular section

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Stacyg
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A rectangular concrete-lined channel is 2m wide with Manning's n 0.012 and a bed slope of 0.0025 m/m. Obtain the depth of flow when the discharge is 9m^3/s.

Q=V.A I have the discharge but how do I calculate the velocity without the area ?? Once I have the velocity I should be able to work it out.

Thanks
 
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You've got two equations with two unknowns: eliminate v. Write the area A as b*h with b the width and h the height of the rectangular cross-section. Now solve for h.
 
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