Concept explainers
The terminal velocity of the particle.
Answer to Problem 125P
The terminal velocity of the particle is
Explanation of Solution
Given information:
The density of air is
Write the expression for the force acting on the particle in the downward direction.
Here, the mass of the particle is
Write the expression for the drag force.
Here, the viscosity is
Write the expression for the buoyancy force.
Here, the mass of the particle is
Write the expression for the upward force.
Substitute
Write the expression for the force Equilibrium.
Calculation:
Substitute
Substitute
Substitute
Conclusion:
The terminal velocity of the particle is
Want to see more full solutions like this?
Chapter 10 Solutions
Fluid Mechanics: Fundamentals and Applications
- ۱۵ Q3/ A dash pot is 0.2 m in diameter and 0.25 m long and it slides down in a vertical cylinder of diameter 0.21 m. The lubricating oil filled in the annular space has a viscosity of 0.5 poise and has a linear velocity profile. When the load on the piston is 25 N, find the speed with which the piston slides down. سرعة الله Dash pot Oil Cylinder- 0.2 m 25 N 0.21 m T 0.25 marrow_forward1)The model of the torpedo (a military vehicle that goes very fast underwater) as placed in a tank is moved by being towed at a speed of 14,4 m/s. In the prototype, the torpedo is expected to move at a speed of 4.2 m/s in water at 15°C. The kinematic viscosity of water at the same temperature is v=3.4x10^(-3) m2/s. a) Determine the scale of the model used. b) If the same prototype and the torpedo model, prepared in the same size, is moved in a wind tunnel where u air=1.975x10^(-4) Ns/m2 and p air=22.5 kg/m3 air with physical properties under 10 atmospheres pressure and 26 C° constant temperature are used. What is the speed of the torpedo?arrow_forwardIn order to determine the viscosity of a Newtonian fluid, you conducted an experiment at 20°C. The bottom plate is fixed and cannot move. The distance between bottom plate and upper plate is 30 cm. You apply different shear stress values (0,3-0,6 and 0,9 N/m2) and measured the velocity of the upper plate (0,095-0,191 and 0,282 m/s). a) Calculate the viscosity of the fluid. b) if the experiment was conducted at 30°C, do you think if the measured velocities of the upper plate will be higher or lower? (Assume you apply same shear stresses) Explain why. Moving plate и 30 cm H fluid Fixed plate T (N/m?) U-upper plate (m/s) 0,3 0,095 0,6 0,191 0,9 0,282arrow_forward
- A titanium cylinder having a diameter of 50 mm in diameter and 540 mm long falls inside a vertical tube 50.5 mm in diameter. The density of the titanium cylinder is 6846 kg/m3 . The space between the cylinder and the tube is a film of glycerine at 15oC with a viscosity of 0.567 Pa-s. What is the speed of the cylinder as it falls the tube?arrow_forwardDarrow_forwardThe space between two square flat parallel plates is filled with oil. Each side of the square plate is 0.8 m. The specific weight of the oil is 9620 N/m?, the thickness of the oil film is 16.6 mm and requires a force of 170 N. Take the kinematic viscosity of the liquid as 16 stokes. Determine (i) the shear stress (i) the density of oil (ii) the dynamic viscosity in poise and (iv) the moving velocity of the upper plate. (ENTER ONLY THE VALUE IN THE BOXES BY REFERRING THE UNIT GIVEN IN BRACKET. ALSO UPLOAD YOUR HAND WRITTEN ANSWERS IN THE LINK PROVIDED) ()Shear stress in N/m2 (ii)The density of oil in kg/m (ii)The dynamic viscosity in poise (iv)The moving velocity of the upper plate in m/s.arrow_forward
- The space between two parallel plates 0.001 ft apart is filled with oil viscosity 0.7cp. The top plate is stationary while the lower plate is moving in the x-direction with a velocity 1ft/sec. A. Determine shear rate B. What should be the shear stress in lbf/ft^2? Answer asap plsarrow_forwardFor most gases at standard or near standard conditions, the relationshipamong pressure, density, and temperature is given by the perfect gasequation of state: p = ρRT, where R is the specific gas constant. For airat near standard conditions, R = 287 J/(kg · K) in the International System of Units and R = 1716 ft · lb/(slug · ◦R) in the English Engineering System of Units. Using the above information, consider the following two cases: a. At a given point on the wing of a Boeing 727, the pressure andtemperature of the air are 1.9 × 104 N/m2 and 203 K, respectively.Calculate the density at this point.b. At a point in the test section of a supersonic wind tunnel, the pressureand density of the air are 1058 lb/ft2 and 1.23 × 10−3 slug/ft3,respectively. Calculate the temperature at this point.arrow_forwardSolve the problem correctly in a sheet of paper. No gptarrow_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