Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 2, Problem 70P
Calculate and plot the maximum capillary rise of water (20°C) to be expected in a vertical glass tube as a function of tube diameter for diameters from 0.5 to 2.5 mm.
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A 0.10-mm-diameter glass tube is inserted into water at 100°C in a tub to observe capillary rise phenomenon. Determine the capillary rise of water in the tube. (a) What would happen if water is replaced with gasoline in tube? (b) Can you calculate the capillary rise if the diameter of tube at one end is 0.3mm and on the other end it is 0.10mm
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Chapter 2 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 2 - For the velocity fields given below, determine:...Ch. 2 - For the velocity fields given below, determine:...Ch. 2 - A viscous liquid is sheared between two parallel...Ch. 2 - For the velocity field V=Ax2yi+Bxy2j, where A = 2...Ch. 2 - A fluid flow has the following velocity...Ch. 2 - When an incompressible, nonviscous fluid flows...Ch. 2 - For the free vortex flow the velocities are t =...Ch. 2 - For the forced vortex flow the velocities are t =...Ch. 2 - A velocity field is specified as V=axyi+by2j,...Ch. 2 - A velocity field is given by V=ax3i+bxy3j, where a...
Ch. 2 - The velocity for a steady, incompressible flow in...Ch. 2 - The flow field for an atmospheric flow is given by...Ch. 2 - For the velocity field V=AxiAyj,, where A = 2s 1....Ch. 2 - A velocity field in polar coordinates is given...Ch. 2 - The flow of air near the Earths surface is...Ch. 2 - A velocity field is given by V=aytibxj, where a =...Ch. 2 - Air flows downward toward an infinitely wide...Ch. 2 - Consider the flow described by the velocity field...Ch. 2 - Consider the velocity field V = axi + by(1 + ct)...Ch. 2 - Consider the flow field given in Eulerian...Ch. 2 - A velocity field is given by V=axti+byj, where A =...Ch. 2 - Consider the garden hose of Fig. 2.5. Suppose the...Ch. 2 - Consider the velocity field of Problem 2.18. Plot...Ch. 2 - Streaklines are traced out by neutrally buoyant...Ch. 2 - Consider the flow field V=axti+bj, where a = 1/s2...Ch. 2 - A flow is described by velocity field V=ay2i+bj,...Ch. 2 - Tiny hydrogen bubbles are being used as tracers to...Ch. 2 - A flow is described by velocity field V=ai+bxj,...Ch. 2 - A flow is described by velocity field V=ayi+btj,...Ch. 2 - A flow is described by velocity field V=ati+bj,...Ch. 2 - The variation with temperature of the viscosity of...Ch. 2 - The variation with temperature of the viscosity of...Ch. 2 - Some experimental data for the viscosity of helium...Ch. 2 - The velocity distribution for laminar flow between...Ch. 2 - What is the ratio between the viscosities of air...Ch. 2 - Calculate velocity gradients and shear stress for...Ch. 2 - A very large thin plate is centered in a gap of...Ch. 2 - A female freestyle ice skater, weighing 100 lbf,...Ch. 2 - A block of mass 10 kg and measuring 250 mm on each...Ch. 2 - A 73-mm-diameter aluminum (SG = 2.64) piston of...Ch. 2 - A vertical gap 25 mm wide of infinite extent...Ch. 2 - A cylinder 8 in. in diameter and 3 ft long is...Ch. 2 - Crude oil at 20C fills the space between two...Ch. 2 - The piston in Problem 2.40 is traveling at...Ch. 2 - A block of mass M slides on a thin film of oil....Ch. 2 - A block 0.1 m square, with 5 kg mass, slides down...Ch. 2 - A torque of 4 N m is required to rotate the...Ch. 2 - A circular disk of diameter d is slowly rotated in...Ch. 2 - The fluid drive shown transmits a torque T for...Ch. 2 - A block that is a mm square slides across a flat...Ch. 2 - In a food-processing plant, honey is pumped...Ch. 2 - SAE 10W-30 oil at 100C is pumped through a tube L...Ch. 2 - The lubricant has a kinematic viscosity of 2:8105...Ch. 2 - Calculate the approximate viscosity of the oil....Ch. 2 - Calculate the approximate power lost in friction...Ch. 2 - Fluids of viscosities 1 = 0.1 Ns/m2 and 2 = 0.15...Ch. 2 - A concentric cylinder viscometer may be formed by...Ch. 2 - A concentric cylinder viscometer is driven by a...Ch. 2 - A shaft with outside diameter of 18 mm turns at 20...Ch. 2 - A shock-free coupling for a low-power mechanical...Ch. 2 - A proposal has been made to use a pair of parallel...Ch. 2 - The cone and plate viscometer shown is an...Ch. 2 - A viscometer is used to measure the viscosity of a...Ch. 2 - A concentric-cylinder viscometer is shown. Viscous...Ch. 2 - Design a concentric-cylinder viscometer to measure...Ch. 2 - A cross section of a rotating bearing is shown....Ch. 2 - Small gas bubbles form in soda when a bottle or...Ch. 2 - You intend to gently place several steel needles...Ch. 2 - According to Folsom [6], the capillary rise h...Ch. 2 - Calculate and plot the maximum capillary rise of...Ch. 2 - Calculate the maximum capillary rise of water...Ch. 2 - Calculate the maximum capillary depression of...Ch. 2 - Water usually is assumed to be incompressible when...Ch. 2 - The viscous boundary layer velocity profile shown...Ch. 2 - In a food industry process, carbon tetrachloride...Ch. 2 - What is the Reynolds number of water at 20C...Ch. 2 - A supersonic aircraft travels at 2700 km/hr at an...Ch. 2 - SAE 30 oil at 100C flows through a 12-mm-diameter...Ch. 2 - A seaplane is flying at 100 mph through air at...Ch. 2 - An airliner is cruising at an altitude of 5.5 km...
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- Calculate the capillary effect in mm in a glass tube of 6 mm diameter when immersed in (i) water, and (ii) mercury, both liquids being at 20°C. Assume σ to be 73 × 10−3 N/m for water and 0.51 N/m for mercury. The contact angles for water and mercury are zero and 130°, respectively.arrow_forwardEstimate the capillary depression for mercury in a glass capillary tube 2 mm in diameter. Use σ = 0.514 N/m and θ = 140°.arrow_forwardThe capillary effect in a glass tube of 3.7 mm diameter, when immersed in (1) water and (2) mercury are 8.2 mm and -3.6 mm respectively. Calculate the value of surface tension in contact with air for water and mercury in N/m. Take, the contact angle for water =00 and mercury =1300.arrow_forward
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- Compute the capillary effect of immersion in water of a glass tube of 4mm internal diameter given the surface tension value is 0.073573 N/m, the density value is 990 kg/m^3 and the angle of contact is zero. Express your answer in SI units. Indicate the appropriate unit.arrow_forwardA rectangular plate of length 15 cm and width 10 cm rests on a layer of liquid of thickness 0.8 mm. If the coefficient of viscosity of the fluid is 1600 cP, calculate the force that must be applied to the plate in the horizontal direction so that the plane moves with a velocity of 20 cm/s.arrow_forwardA glass tube of 2.5 mm internal diameter is immersed in oil of mass density 940 kg/m^3 to depth of 9 mm. If a pressure of 148 N/m^2 is needed to form bubble which is just released. What is the surface tension of oil?arrow_forward
- Compute the capillary effect of immersion in mercury of a glass tube of 4mm internal diameter given the surface tension value is 0.51 N/m, the density value is 13600 kg/m^3 and the angle of contact is 130 degress. express your answer in appropriate SI unit.arrow_forwardA concentric cylinder viscometer may be formed by rotating the inner member of a pair of closely fitting cylinders. The annular gap is small so that a linear velocity profile will exist in the liquid sample. Consider a viscometer with an inner cylinder diameter of 4 in, a height of 8 in, and a clearance gap width of 0.001 in, filled with castor oil at 90 oF. Determine the torque (in lbf×ft) require to turn the inner cylinder at 400 rpm. The dynamic viscosity of the caster oil is 0.0079 lbf×s /ft2.arrow_forwardWhat is capillary in fluids? Explain capillary rise as well as capillary fall. Also, provide the related diagrams.arrow_forward
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