Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 13, Problem 64P
To determine
The critical slope relation
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On a circular conduit there are different diameters: diameter D1 = 2 m, changes into D2 = 3 m. The velocity in the entrance profile was measured: v1 = 3 m/s. Calculate the discharge and mean velocity at the outlet profile (see figure below). Determine also type of flow in both conduit profiles (whether the flow is laminar or turbulent) – temperature of water T = 12° C. (use Reynold’s number Re), For laminar flow: Re<2320, For turbulent flow Re>2320, Kinematic viscosity of water of 12°C, v is equal to 1,24 10^-6 m2/s.
On a circular conduit there are different diameters: diameter D1 = 2 m, changes into D2 = 3 m.
The velocity in the entrance profile was measured: v1 = 3 m/s. Calculate the discharge and mean
velocity at the outlet profile (see figure below). Determine also type of flow in both conduit
profiles (whether the flow is laminar or turbulent) – temperature of water T = 12° C. (use
Reynold's number Re), For laminar flow: Re2320, Kinematic
viscosity of water of 12°C, v is equal to 1,24 10^-6 m2/s
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Chapter 13 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 13 - What is the driving force for flow in an open...Ch. 13 - How does open-channel flow differ from internal...Ch. 13 - Prob. 3CPCh. 13 - Prob. 4CPCh. 13 - What is normal depth? Explain how it is...Ch. 13 - How does uniform flow differ from nonuniform flow...Ch. 13 - Prob. 7CPCh. 13 - Prob. 8CPCh. 13 - Prob. 9CPCh. 13 - Prob. 10CP
Ch. 13 - Prob. 11CPCh. 13 - Water at 20°C flows in a partially full...Ch. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Water at 10°C flows in a 3-rn-diameter circular...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - Prob. 20CPCh. 13 - Prob. 21CPCh. 13 - Prob. 22CPCh. 13 - Prob. 23CPCh. 13 - Prob. 24CPCh. 13 - Prob. 25CPCh. 13 - Consider steady supercritical flow of water...Ch. 13 - During steady and uniform flow through an open...Ch. 13 - How is the friction slope defined? Under what...Ch. 13 - Prob. 29PCh. 13 - Prob. 30EPCh. 13 - Prob. 31EPCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38CPCh. 13 - Which is the best hydraulic cross section for an...Ch. 13 - Prob. 40CPCh. 13 - Prob. 41CPCh. 13 - Prob. 42CPCh. 13 - Prob. 43CPCh. 13 - Prob. 44CPCh. 13 - Prob. 45PCh. 13 - A 3-ft-diameter semicircular channel made of...Ch. 13 - A trapezoidal channel with a bottom width of 6 m....Ch. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Water is to be transported n a cast iron...Ch. 13 - Prob. 52PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 58EPCh. 13 - Prob. 59EPCh. 13 - Prob. 60PCh. 13 - Repeat Prob. 13-60 for a weedy excavated earth...Ch. 13 - Prob. 62PCh. 13 - During uniform flow n open channels, the flow...Ch. 13 - Prob. 64PCh. 13 - Is it possible for subcritical flow to undergo a...Ch. 13 - How does nonuniform or varied flow differ from...Ch. 13 - Prob. 67CPCh. 13 - Consider steady flow of water; an upward-sloped...Ch. 13 - How does gradually varied flow (GVF) differ from...Ch. 13 - Why is the hydraulic jump sometimes used to...Ch. 13 - Consider steady flow of water in a horizontal...Ch. 13 - Consider steady flow of water in a downward-sloped...Ch. 13 - Prob. 73CPCh. 13 - Prob. 74CPCh. 13 - Water is flowing in a 90° V-shaped cast iron...Ch. 13 - Prob. 76PCh. 13 - Consider the flow of water through a l2-ft-wde...Ch. 13 - Prob. 78PCh. 13 - Prob. 79PCh. 13 - Prob. 80PCh. 13 - Prob. 81EPCh. 13 - Water flowing in a wide horizontal channel at a...Ch. 13 - Water discharging into a 9-m-wide rectangular...Ch. 13 - During a hydraulic jump in a wide channel, the...Ch. 13 - Prob. 92PCh. 13 - Prob. 93CPCh. 13 - Prob. 94CPCh. 13 - Prob. 95CPCh. 13 - Prob. 96CPCh. 13 - Prob. 97CPCh. 13 - Prob. 98CPCh. 13 - Consider uniform water flow in a wide rectangular...Ch. 13 - Prob. 100PCh. 13 - Prob. 101PCh. 13 - Prob. 102EPCh. 13 - Prob. 103PCh. 13 - Prob. 104PCh. 13 - Prob. 105PCh. 13 - Prob. 106EPCh. 13 - Prob. 107EPCh. 13 - Prob. 108PCh. 13 - Prob. 109PCh. 13 - Prob. 111PCh. 13 - Repeat Prob. 13-111 for an upstream flow depth of...Ch. 13 - Prob. 113PCh. 13 - Prob. 114PCh. 13 - Repeat Prob. 13-114 for an upstream flow depth of...Ch. 13 - Prob. 116PCh. 13 - Prob. 117PCh. 13 - Prob. 118PCh. 13 - Prob. 119PCh. 13 - Water flows in a canal at an average velocity of 6...Ch. 13 - Prob. 122PCh. 13 - A trapczoda1 channel with brick lining has a...Ch. 13 - Prob. 124PCh. 13 - A rectangular channel with a bottom width of 7 m...Ch. 13 - Prob. 126PCh. 13 - Prob. 128PCh. 13 - Prob. 129PCh. 13 - Consider o identical channels, one rectangular of...Ch. 13 - The flow rate of water in a 6-m-ide rectangular...Ch. 13 - Prob. 132EPCh. 13 - Prob. 133EPCh. 13 - Consider two identical 15-ft-wide rectangular...Ch. 13 - Prob. 138PCh. 13 - Prob. 139PCh. 13 - A sluice gate with free outflow is used to control...Ch. 13 - Prob. 141PCh. 13 - Prob. 142PCh. 13 - Repeat Prob. 13-142 for a velocity of 3.2 ms after...Ch. 13 - Water is discharged from a 5-rn-deep lake into a...Ch. 13 - Prob. 145PCh. 13 - Prob. 146PCh. 13 - Prob. 147PCh. 13 - Prob. 148PCh. 13 - Prob. 149PCh. 13 - Prob. 150PCh. 13 - Prob. 151PCh. 13 - Prob. 152PCh. 13 - Water f1ows in a rectangular open channel of width...Ch. 13 - Prob. 154PCh. 13 - Prob. 155PCh. 13 - Prob. 156PCh. 13 - Prob. 157PCh. 13 - Prob. 158PCh. 13 - Prob. 159PCh. 13 - Prob. 160PCh. 13 - Prob. 161PCh. 13 - Prob. 162PCh. 13 - Prob. 163PCh. 13 - Prob. 164PCh. 13 - Prob. 165PCh. 13 - Consider water flow in the range of 10 to 15 m3/s...
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- On a circular conduit there are different diameters: diameter D1 = 3 m changes into D2 = 4 m. The velocity in the entrance profile was measured: v1 = 4 ms-1. Calculate the discharge and mean velocity at the outlet profile (see fig. 1). Determine also type of flow in both conduit profiles (whether the flow is laminar or turbulent) – temperature of water T = 12° C. Kinematic viscosity of water of 12°C is 1.24 x 10-6.arrow_forwardHelp pleasearrow_forwardUse f=0.012 for all pipes and initially assume equal flow in pipes AB and AE. Determine the corrected flow in pipes BC, BE, AB, DE, and AE of the pipe network shown. 0.6 m/s A 300m B 300m 0.4 m/s 300mm 250mm 424m 300m 300m 250mm E 300mm 250mm 300m D 0.2 m/s 250mmarrow_forward
- L= 800m ... D = 250mm L= 500m L = 300m L = 350m L = 300m A D = 300mm D = 250mm D = 200mm D = 250mm 1 5 B L= 400m D = 200mm 6 L= 300m D = 200mm L= 450m D = 250mm Determine the discharge in pipes 1, pipe 2, pipe 3 and pipe 6 in the system shown if the total head loss from A to B is 100m and friction factor for all pipes is 0.02. a) Discharge in pipe 1 is Blank 1 cu.m./s b) Discharge in pipe 2 is Blank 2 cu.m./s c) Discharge in pipe 3 is Blank 3 cu.m./s d) Discharge in pipe 6 is Blank 4 cu.m./sarrow_forwardA straight transfer pipe of length L = 10 m and D = 1 cm carries a liquid in highly turbulent flow at a pressure drop DPinit; this pipe must be altered to accommodate a new unit operation in a process, but must maintain the same flow. The old and new geometry are indicated in the sketch below. This adds length DL = 1 m, and adds 2 short-radius 90-degree bends; the diameter remains the same. What fractional increase in pressure drop from DPinit is required to maintain the same flow rate?arrow_forwardP El= constant A В a b Find the max slope and max displacement values by using double integration. P(ton)=23.5 a(m)=3.3 b(m)=2.2arrow_forward
- Reservoirs A, B and C are located atop a hill as shown. Use the formula for headloss: hf = 0.083f Q² with f= 0.011 for all pipes. Calculate the flow rates in the three pipes. EL 30 A EL 25 B L = 1200m D = 300mm %3D EL 15 L2 = 900m D2 = 200mm %3D B L3 = 1500m D3 = 150mm %3Darrow_forwardQ1) water flow over a spillway as shown in the figure. If the velocity is uniform at section 1 an- 2 and viscous effect are negligible, determine the flow rate per unit width of the spillway. ()マ Psi x 144 = psf ZE3.6 m = 10m 2.8 m (2) (2) (1)arrow_forwardQ4: Assuming f-0.020, determine the discharge in the pipes. Neglect minor losses. Pipe Diameter AB 250 mm 200 mm 400 mm BC BD Length 1200 m 600 m 200 m EL.45m EL 3m. B C EL. 3.0m D EL 0.0marrow_forward
- Can someone explain the step by step process of this solution like how it happened, including terms (ex. V, A, Q)arrow_forwardAnswer the attached filearrow_forwardA triangular gutter with side slope at angle 60 • has a depth 300 mm. Find the velocity of water, if the slope of the gutter bed is 0.01 ? (c=50) 30 300 mm 60 O 1.36 m/s O 2.36 m/s O 0.136 m/sarrow_forward
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