| MadSci Network: Physics |
Hello, The answer to your question is quite complex, and depends upon a number of factors. These factors include the viscosity of the fluid, the shape of the gutter, the "roughness" of the gutter material and the slope. You must know either the flow rate of the water or the expected height in the gutter to determine the speed. This falls into a type of engineering problem called "open channel flow". It is more complex than determining the flow rate through a pipe, because the rate of flow in an open channel depends on the height of flowing volume in addition to other factors. (In pipe flow calculations, the pipe is considered "full", and therfore the speed and volume flow rate are in a fixed relationship with each other for a particular pipe diameter). I have taken the easy way out by giving you the attached link. This is an open channel flow calculator, and should give you reasonable results. Note that the "slope" requirement must be entered as the ratio of "rise" over "run". If your gutter drops 2 feet in 100 feet of run, then the slope to enter is 2/100 = .02 This calculator will work for a trapezoidal shaped channel. The "N" value that is required is a roughness factor. A smooth gutter material will flow faster than a rough surface. Click on the link shown to determine your "N" factor. The "Hydraulic Radius" is a value calculated and used in the internal formulas. It is a ratio of the flowing area to the "wetted perimeter of the gutter. Be careful of units that are inputed and outputted (inches, feet, cubic feet per second, gallons per minute, etc)and you should get your answer! Good Luck, Jay Shapiro http://www.geocities.com/Eureka/Concourse/3075/channelcalc.html
Try the links in the MadSci Library for more information on Physics.