Concept explainers
Consider a small-diameter open-ended tube inserted at the interface between two immiscible fluids of different densities. Derive an expression for the height difference Δh between the interface level inside and outside the tube in terms of tube diameter D, the two fluid densities ρ1 and ρ2, and the surface tension σ and angle θ for the two fluids’ interface. If the two fluids are water and mercury, find the height difference if the tube diameter is 40 mils (1 mil = 0.001 in.).
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Additional Engineering Textbook Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Introduction To Finite Element Analysis And Design
Engineering Mechanics: Dynamics (14th Edition)
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
Applied Fluid Mechanics (7th Edition)
Engineering Mechanics: Statics
- An open cylindrical tank with the curved portion restraining a body of static fluid as shown in the plot below. The fluid in the tank is water. The room temperature is T=[t] 20 °C. The height from the free surface to the beginning of the curved surface is H= 3.00m. The The shape of the curved surface is a quarter circle.The radius of the circle is R= 1.70m. The width of the cylindrical tank w= 1.3 m (perpendicular to the screen). Answer the questions based on conditions provided. Horizontal distance to the centroid of the rectangular area (A1) above the curved surface from the right boundary of the curved surface, x1 ___________ (m)arrow_forwardFind out the pressure difference between pipes A and B if A contains water and B contains oil of specific gravity 0.8. The manometric liquid is carbon tetrachloride of specific gravity 0.7 as shown in the figurearrow_forwardDarrow_forward
- Figure 1 shows a box of mass m that is supported on a surface inclined at angle 0 to the horizontal. The surface is covered with a thin layer of viscous oil that generates a resistance to any sliding movement of the box such that the resisting force is F =-qv, where v is the sliding velocity. At time t=0 the velocity of the box up the incline is v, . m Figure 1 When the units of the drag force are [N] and the units of velocity are [m/sec], state the units of the coefficient q. (a) After a long time has passed, what will be the speed of the box? State clearly the principle that enabled you to obtain this result without solving the differential equation of motion. (b) (c) By counting the number of energy storage elements, what order do you expect the system dynamic equation to be? (d) Derive the differential equation governing the velocity of the box. (e) By inspection of your differential equation, state the system time constant. (f) Solve the differential equation derived in part (d)…arrow_forwardA gas under a pressure of 1 MPa absolute has a specific weight of 99 N/m^3. What is the value of R for the gas if T = 60°C?arrow_forwardIn medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed. If the fluid rises to a height of 160 mm, we write its gauge pressure as 160 mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury.arrow_forward
- In medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed. If the fluid rises to a height of 160 mm, we write its gauge pressure as 160 mm H2O. a) Sometimes it is necessary to determine whether an accident victim has suffered a crushed vertebra that is blocking the flow of cerebrospinal fluid in the spinal column. In other cases, a physician may suspect that a tumor or other growth is locking the spinal column and inhibiting the flow of cerebrospinal fluid. Such conditions can be investigated by means of the Queckensted test. In this procedure the veins in the patient’s neck are compressed, to make the blood pressure rise in the brain. The increase in pressure in the blood vessels is…arrow_forwardWhen a liquid of volume 4 liter is subjected to an additional pressure of 5 x 107 N/m2, the change in the volume is found to be 4 ml, calculate the Bulk modulus of the liquidarrow_forwardA capillary rise experiment is proposed for a high school physics class. The students are told that for water in clean glass tubes, the contact angle between liquid and glass (θ)is 90°. The students are asked to measure capillary rise in a series of tube diameters (D=0.02, 0.04, 0.06, 0.08, and 0.10 in.). They are then asked to graph the results and determine the approximate tube diameters that would produce capillary rises of 1.5, 1.0, and 0.5 in. Predict the results if the water used in the experiment is at 20°C. The Provided answers for h=1.5 in D=0.0301 inforh=1.0 in D=0.0452 infor h=0.5 in,D=0.0904 in Can not figure this out .arrow_forward
- Show that the Reynolds number is dimensionless.arrow_forwardA barrel is filled with two unknown fluids. The total hydrostatic pressure at the bottom of the barrel is 6.51 kPa. If the pressure of fluid 1 is twice as the pressure produced by fluid 2, find the specific gravity of the denser fluid if it occupies 2/3 of the barrel’s height. The height of the barrel is 0.5m. (The shape of the barrel is uniform).arrow_forwardCalculate the density and specific weight of carbon dioxide at a pressure of 300 kN/m² absolute and 60°C. Find the total weight of a 10 ft' tank of oxygen if the oxygen is pressurized to 500 psia, the tank itself weighs 150 lbf, and the temperature is 70°F? 2. 3. What is the ratio of the dynamic viscosity of air to that of water at standard pressure and a temperature of 20°C? What is the ratio of the kinematic viscosity of air to that of water for the same conditions? 4.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY