Q3/Assume a separated flow with no interaction between the phases .Imagine each phase flowing in separate tube of diameter di and de Their combined cross sectional area is assumed to be equal to the area of tube diameter d. Assume the single phase pressure gradients in each of the tubes to be equal and also equal to the frictional two phase pressure gradient. Prove that for laminar flow (n=2) in the following equation: + 3 = $2 Wherea and 1 singl Phas pass DR-DB₂ =DP $² are two phase friction multipliers for gas and liquid respectively.

Q3/Assume a separated flow with no interaction between the phases .Imagine each phase flowing in separate tube of diameter di and de Their combined cross sectional area is assumed to be equal to the area of tube diameter d. Assume the single phase pressure gradients in each of the tubes to be equal and also equal to the frictional two phase pressure gradient. Prove that for laminar flow (n=2) in the following equation: + 3 = $2 Wherea and 1 singl Phas pass DR-DB₂ =DP $² are two phase friction multipliers for gas and liquid respectively.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

I need help with this question: Q. A sprinkler system pumps water through a large pipe inlet with a diameter (d1). The then breaks into N narrow Pipes (which have a diameter, d2, and a length, L2), before the water is released to the atmosphere, as shown in the figure. The entrance to the small pipe from the large pipe has a loss coefficient of KL. You may assume the flow is laminar and fully developed everywhere in the system, and that any changes in height are neglible. (The viscosity is NOT negligible) a) Find an expressin for the velocity of water leaving the sprinkler b) Find an Expression for the gauge pressure at point A, a distance L1 upstream of the narrow pipes. Express your answer in terms of the flowrate, Q. c) The inner diameter of the first segment of the pipe is d1 = 10mm, the inner diameter of the second set of pipes is d2 = 1mm, with N = 25. The flowrate through the sprinkler is Q = 0.2 L/s. Flow in pipes typically becomes turbulent when the Reynolds number exceeds…
Task 5 A liquid of a density @ flows through a pipe of a diameter d from a tank of a diameter D P. (with pressure p.) to another tank with significantly larger diameter (with pressure PB). Determine the mass flow rate ṁ of the liquid flow and the pressure in the point C. OD D = 60 mm H= 1.2 m Ps = 110 kPa h Given: d= 40 mm h = 0.3 m PA = 1.05 bar P= 1000 kg/m m, Pc od Find: n = 5.73 kg/s pc = 108.4 kPa
Natural gas, which is essentially methane is being pumped through a 1m ID steel pipe for a distance of 100 km at a rate of 2 kmol/s. It can be assumed that the flow is isothermal at 289 K. The pressure at the end of the line is 170 kPa. Assuming that the viscosity of the gas is 1.08963x10-5 Pa-s, calculate the pressure (kPa) at the pump discharge.
please help me with this exercise ...
Water is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables. b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation! show all steps please
3:'A hydraulic oil is flowing in a horizontal drawn steel hydraulic tube ( ɛ = 1.5 x 10-6m) with an ID of 0.047m. A pressure difference of 68 kPa is || observed between two points in the tube 30 meters apart. The oil has a specific gravity of 0.90 and a dynamic viscosity of 3.0 × 10¬³P ·s. Calculate the velocity of the flow of oil using Method Il-C iteration.
Water is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables. b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation! show all steps please
Pls so step by step