SAE 30 oil at 60 F is pumped through a 6-ft diameter pipeline at a rate of 6650 gal/min. A model of this pipeline is to be designed using a 3-in diameter pipe and water at 60 F as the working fluid. To maintain Reynolds number similarity between these two systems, what fluid velocity will be required in the model? Answer: 0.0338 ft/s. Please show work.

SAE 30 oil at 60 F is pumped through a 6-ft diameter pipeline at a rate of 6650 gal/min. A model of this pipeline is to be designed using a 3-in diameter pipe and water at 60 F as the working fluid. To maintain Reynolds number similarity between these two systems, what fluid velocity will be required in the model? Answer: 0.0338 ft/s. Please show work.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.32P

See similar textbooks

Similar questions

When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the weight of the sphere is balanced by the buoyant force and the frictional resistance of the fluid. Make a dimensional analysis of this problem and indicate how experimental data for this problem could be correlated. Neglect compressibility effects and the influence of surface roughness.
A one-fifth scale model of a water turbine is tested in a laboratory at T = 20°C. The diameter of the model is 8.0 cm, its volume flow rate is 17.0 m3 /h, it spins at 1500 rpm, and it operates with a net head of 15.0 m. At its best efficiency point, it delivers 450 W of shaft power. Calculate the efficiency of the model turbine. What is the most likely kind of turbine being tested?
A turbine model has the following characteristics: Effective power: 13, 6 kW; Rotor Diameter: 0.38 meters, Flow: 0.34 ms, Energy Jump: 26.5 J / Kg and 3 R.P.S. rotation It is desired to construct a geometrically similar 1.20 meter diameter turbine that provides a power on the 656 kW axis, we ask: to calculate and justify its answers: a) the specific rotation; b) the unit quantities (rotation, flow and power); c) the rotation, flow and power of the model (bi-unit quantities).
Measurements at a certain point of a pipe have been done where the following parameters were recorded: Fluid of density = 887 kg/m3, Fluid velocity = 4 m/s, Pressure= 11.3 KN/m2 If the total energy per unit weight at this point = 32 m, then the potential energy is:
A small wind turbine is tested in a wind tunnel using the following model parameters: ρ = 1.2 kg/m3 , µ = 1.81x10-5 Ns/m2 , v = 12 m/s, A = 0.03 m2 and Cp is measured as 0.42. Assuming dynamic similarity exists, calculate the power output of a full-size turbine of diameter 60 m operating in air of density 1.3 kg/m3 and viscosity µ = 1.73x10-5 Ns/m2 with wind speeds of 15 m/s
The Keystone Pipeline opener photo hasD = 36 in. and an oil flow rate Q = 590,000 barrels per day(1 barrel = 42 U.S. gallons). Its pressure drop per unitlength, ∆p/L , depends on the fluid density ρ , viscosity μ ,diameter D , and flow rate Q . A water-fl ow model test, at20 ° C, uses a 5-cm-diameter pipe and yields ∆ p/L ≈ 4000Pa/m. For dynamic similarity, estimate ∆ p/L of the pipeline.For the oil take ρ = 860 kg/m 3 and μ = 0.005 kg/m . s.
water (ρ = 1000 kg / m ^ 3, v = 1.0 * 10 ^ -6 m ^ 2 / s, μ = 1.0 * 10 ^ -3 kg / ms) flows from a 50 cmm diameter pipe at 2 m / s . A model of this system will use air (ρ = 1.2 kg / m ^ 3, v = 1.5 * 10 ^ -5 m ^ 2 / s μ = 1.8 * 10 ^ -5 kg / ms) as fluid . Air velocity will be 30 m / s. Find the required pipe diameter to achieve dynamic similarity between model and prototype.
Find the pressure drop between locations a and b for flow in a pipe using the following data: Working fluid: Water Pipe: Stainless steel, Schedule No. 120 Nominal pipe size (cm): 10 Flow rate (m3 /min): 2.271 Temperature (C): 38 Length (m): 45.72 Solve for the following 3 cases: a) Za = Zb =33.5 m, b) Za = Zb + 15 m, and c) Za = Zb + 46 m.
An incompressible fluid flows in a linear porous medium with the following properties: Lenth = 3000 ft k = 100 md p1 = 2000 psig p2 = 1980 psig height = 25 ft porosity = 20% width = 300 ft viscosity = 2 cP Assume the dimension is slanted, i.e., a dip angle of 5 degrees (downward from p1 location to p2 location), what is the apparent fluid velocity under this new boundary condition?
A football, meant to be thrown at 60 mi/h in sea-level air( ρ = 1.22 kg/m 3 , μ = 1.78 E-5 N ? s/m 2 ), is to be testedusing a one-quarter scale model in a water tunnel ( ρ =998 kg/m 3 , μ =0.0010 N . s/m 2 ). For dynamic similarity,what is the proper model water velocity?( a ) 7.5 mi/h, ( b ) 15.0 mi/h, ( c ) 15.6 mi/h,( d ) 16.5 mi/h, ( e ) 30 mi/h
A one-fortieth-scale model of a ship’s propeller is tested in atow tank at 1200 r/min and exhibits a power output of 1.4ft . lbf/s. According to Froude scaling laws, what should therevolutions per minute and horsepower output of the prototypepropeller be under dynamically similar conditions?
A one-tenth-scale model of a supersonic wing tested at 700 m/sin air at 20 ° C and 1 atm shows a pitching moment of 0.25kN ? m. If Reynolds number effects are negligible, what willthe pitching moment of the prototype wing be if it is flying atthe same Mach number at 8-km standard altitude?