Explanation Given: Flow rate ( Q ) is 0.02 m 3 / s . Density of brine ( ρ b ) is 1250 kg / m 3 . Diameter of the cylinder ( d ) is 1 m. Height of the cylinder ( h ) is 3 m. Calculation: Write the continuity equation. ∂ ∂ t ∫ cv ρ d V + ∫ cs ρ V ⋅ d A = 0 V d ρ d t + ρ Q − ρ w Q = 0 V d ρ d t = Q ( ρ w − ρ ) d ρ ( ρ w − ρ ) = Q V d t Integrate the above equation on both sides. ∫ ρ b ρ d ρ ( ρ w − ρ ) = Q V ∫ 0 t d t − ln ( ρ w − ρ ) ρ b ρ = Q V t [ − ln ( ρ w − ρ ) ] − [ − ln ( ρ w − ρ b ) ] = Q V t − ln ( ρ w

2nd Edition

ISBN: 9780134649290

Author: Russell C. Hibbeler

Publisher: PEARSON

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Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

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Chapter 4, Problem 94P

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The amount of water that must be added to the tank.

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Chapter 4, Problem 93P

Chapter 4, Problem 95P

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Chapter 4 Solutions

Fluid Mechanics (2nd Edition)

Ch. 4 - Prob. 1FP Ch. 4 - Air flows through the triangular duct at 0.7 kg/s...Ch. 4 - Water has an average velocity of 8 m/s through the...Ch. 4 - Crude oil flows through the pipe at 0.02 m3/s. If...Ch. 4 - Determine the mass flow of air having a...Ch. 4 - Prob. 6FP Ch. 4 - The velocity of the steady flow at A and B is...Ch. 4 - Prob. 8FP Ch. 4 - As air exits the tank at 0.05 kg/s, it is mixed...Ch. 4 - Water flows along the triangular channel having...

Ch. 4 - Determine the mass flow of nitrogen in an...Ch. 4 - Nitrogen gas flows through the 8-in.-diameter...Ch. 4 - Air enters the turbine of a jet engine at a rate...Ch. 4 - Determine the mass flow of air in the duct if it...Ch. 4 - Prob. 6P Ch. 4 - Prob. 7P Ch. 4 - Prob. 8P Ch. 4 - The velocity profile of a liquid flowing through...Ch. 4 - Prob. 10P Ch. 4 - Prob. 11P Ch. 4 - Determine the mass flow of the fluid if it has the...Ch. 4 - The liquid in the rectangular channel has a...Ch. 4 - The liquid in the rectangular channel has a...Ch. 4 - Water flows along the semicircular trough with an...Ch. 4 - The 30-mm-diameter nozzle ejects water such that...Ch. 4 - Determine the volumetric flow through the...Ch. 4 - Determine the volumetric flow through the...Ch. 4 - The human heart has an average discharge of...Ch. 4 - Prob. 20P Ch. 4 - Prob. 21P Ch. 4 - Kerosene flows through the nozzle at 0.25 m3/s....Ch. 4 - Kerosene flows through the nozzle at 0.25 m3/s....Ch. 4 - At two specific instants during a heartbeat, the...Ch. 4 - Prob. 25P Ch. 4 - The radius of the circular duct varies as m,...Ch. 4 - Prob. 27P Ch. 4 - Prob. 28P Ch. 4 - The average velocities of water flowing steadily...Ch. 4 - Air flows through the tapered duct, and during...Ch. 4 - Prob. 31P Ch. 4 - Air is pumped into the tank, and at the instant...Ch. 4 - Prob. 33P Ch. 4 - Prob. 34P Ch. 4 - Compressed air is being released from the tank,...Ch. 4 - Prob. 36P Ch. 4 - Prob. 38P Ch. 4 - Water flows through the pipe at A at 60 kg/s, and...Ch. 4 - Prob. 40P Ch. 4 - Prob. 41P Ch. 4 - Nitrogen flows into the tank at A at VA = 3 m/s,...Ch. 4 - Nitrogen flows into the tank at A at VA = 3 m/s,...Ch. 4 - The flat strip is sprayed with paint using the six...Ch. 4 - Prob. 45P Ch. 4 - Prob. 46P Ch. 4 - Drilling fluid is pumped down through the center...Ch. 4 - Drilling fluid is pumped down through the center...Ch. 4 - Oil flows into the pipe at A with an average...Ch. 4 - The unsteady flow of glycerin is such that at A it...Ch. 4 - The unsteady flow of glycerin is such that at A it...Ch. 4 - Prob. 52P Ch. 4 - Prob. 53P Ch. 4 - The cylindrical plunger traveling at Vp =...Ch. 4 - The cylindrical plunger traveling at Vp =...Ch. 4 - Prob. 56P Ch. 4 - The pressure vessel of a nuclear reactor is filled...Ch. 4 - With every breath, air enters the trachea, its...Ch. 4 - A liquid flows through the drainpipe such that it...Ch. 4 - Oil flows into a mixing tank through pipe A with...Ch. 4 - Oil flows into the mixing tank through pipe A at...Ch. 4 - Water flows into the tank through two pipes. At A...Ch. 4 - Gasoline flows into the tank through two pipes. At...Ch. 4 - Prob. 64P Ch. 4 - The cylindrical syringe is actuated by applying a...Ch. 4 - Prob. 66P Ch. 4 - The tank contains air at a temperature of 20°C and...Ch. 4 - The natural gas (methane) and crude oil mixture...Ch. 4 - Prob. 69P Ch. 4 - Prob. 70P Ch. 4 - Prob. 71P Ch. 4 - Prob. 72P Ch. 4 - Prob. 73P Ch. 4 - Prob. 74P Ch. 4 - Kerosene flows into the 4-ft-diameter cylindrical...Ch. 4 - Prob. 76P Ch. 4 - Water flows into the cylindrical tank through...Ch. 4 - Water flows into the cylindrical tank through...Ch. 4 - The cylinder is pushed down into the tube at a...Ch. 4 - Prob. 80P Ch. 4 - Prob. 81P Ch. 4 - Prob. 82P Ch. 4 - Prob. 83P Ch. 4 - Prob. 84P Ch. 4 - Oil flows into the trapezoidal container at a...Ch. 4 - Oil flows into the conical frustum at a constant...Ch. 4 - Water in the triangular trough is at a depth of y...Ch. 4 - Prob. 88P Ch. 4 - Prob. 89P Ch. 4 - Prob. 90P Ch. 4 - Prob. 91P Ch. 4 - Hydrogen is pumped into the closed cylindrical...Ch. 4 - Hydrogen is pumped into the closed cylindrical...Ch. 4 - Prob. 94P Ch. 4 - A part is manufactured by placing molten plastic...

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