Once we determine the friction factor for the given flow conditions, we can plug all of our variables into Theįinal value of x is the friction factor (f) we are looking for. The function converges, or the difference between our two guesses is minimal. This becomes our new x k and our previous x k We then plug these guesses into the Newton-Raphson equation to find a new guess, In this method we start with two initial guessesįor the variable (renamed "x") and then iteratively solve the function (g) using the Since this equation is difficult to solve directly we must use a numerical method To find this value, we can either consult the Moody diagram with our known Reynold's We still useīernoulli's equation to solve for the change in height:Īll of the variables in this equation are known except for the friction factor, f. If the flow is turbulent, the problem is slightly more complicated. m = the dynamic viscosity of the fluid in the pipe.g = the specific weight of the fluid in the pipe.DP = the change in pressure between ends.If the flow is laminar, our work is easy. Once we know the Reynold's number, we can approximate the flow as: Where n = the kinematic viscosity of the fluid. This is accomplished fairly painlessly if we know the velocity, pipe diameter, and To do this, we need to find the Reynold's number (Re). At 25 ☌, the viscosity is 18.6 Pa·s and the kinematic viscosity. The kinematic viscosity of air at 15 ☌ is 1.48 × 10-5 m 2 /s or 14.8 cSt. The first step in this problem is to determine the type of flow going through the pipe Kinematic Viscosity of Air Prandtl Number Air The viscosity of air depends mostly on the temperature. Given the type of fluid in the pipe, the velocity (V), the diameter of the pipe (D),Īnd the length between sides of the U-tube manometer (L), find the change in height Kinnas ( ).Īttached to a cylindrical pipe is a U-tube mercury manometer, as shown.
KINEMATIC VISCOSITY FORMULA DOWNLOAD
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