Fully developed flow of a Bingham plasticfluid moving through a 12-in diameter pipe has the given velocity profile. The flow of a Bingham fluid does not shear the center core, producing plug flow in the region around the centerline.
Radius, r, in | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Velocity, v, ft/s | 5.00 | 5.00 | 4.62 | 4.01 | 3.42 | 1.69 | 0.00 |
Find the total volume flow rate Q using the relationship
(a) Fit a polynomial curve to the noncore data and integrate.
(b) Use multiple-application Simpson's rule to integrate.
(c) Find the percent error using the
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EBK NUMERICAL METHODS FOR ENGINEERS
- Problem-4: The characteristics for a pump are given in the table below. The pump is required to left water against static head Az = EN" m. The pipe arrangement has a total length L the pump discharge, head, efficiency and power for the given pipe system. 200, d = 0.1 m and f= 0.016. Find %3D Q (L/s) 10 20 30 35 42 50 Hp (m) efficiency % 210 201 180 150 129 93 48 30 58 80 85 86 74 EN=62 Hp = Az + h, = Az + 12.1 d P = 757arrow_forwardQ1. Complete the following: Theory states that if: Re 3000 2000 < Re < 3000 Q2. Show the sample calculation for (Area m', velocity m/s and Re) Hint: Diameter of Tube =12mm Q3. Complete the following table: Case Flow condition Flow Rate RE Agree or Not No. (L/min) with Theo. 1. 2. 3.arrow_forward1.) A process fluid (μ = 3 cP, p = 1210 kg/m³) is flowing through a 5.8-cm ID pipe with an average velocity (Uavg) of 2.5 m/sec. Calculate/estimate the following: a) What is the velocity profile from the center of the pipe (r=0 cm) to the pipe wall (r; = 2.9 cm)? b) The length of the pipe (4) is 10 feet. Calculate the pressure drop through the pipe using the Hagen-Poiseuille law. c) Calculate the Reynolds number for this system. d) Is the flow in the pipe laminar or turbulent? e) Estimate the Fanning friction factor (f) in this system. f) What is the pressure drop (AP) in the system if friction is considered?arrow_forward
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