Problem 1P: The slope of the free surface of a steady wave in one-dimensional flow in a shallow liquid layer is... Problem 2P: One-dimensional unsteady flow in a thin liquid layer is described by the equation ut+uux=ghx Use a... Problem 3P: In atmospheric studies the motion of the earths atmosphere can sometimes be modeled with the... Problem 4P: Fluid fills the space between two parallel plates. The differential equation that describes the... Problem 5P: By using order of magnitude analysis, the continuity and NavierStokes equations can be simplified to... Problem 6P: Consider a disk of radius R rotating in an incompressible fluid at a speed . The equations that... Problem 7P: An unsteady, two-dimensional, compressible, inviscid flow can be described by the equation... Problem 8P: Experiments show that the pressure drop for flow through an orifice plate of diameter d mounted in a... Problem 9P: At very low speeds, the drag on an object is independent of fluid density. Thus the drag force, F,... Problem 10P: We saw in Chapter 3 that the buoyant force, FB, on a body submerged in a fluid is directly... Problem 11P: Assume that the velocity acquired by a body falling from rest (without resistance) depends on weight... Problem 12P: Derive by dimensional analysis an expression for the local velocity in established pipe flow through... Problem 13P: The speed of shallow water waves in the ocean (e.g., seismic sea waves or tsunamis) depends only on... Problem 14P: The speed, V, of a free-surface wave in shallow liquid is a function of depth, D, density, ,... Problem 15P: The boundary-layer thickness, , on a smooth flat plate in an incompressible flow without pressure... Problem 16P: The speed, V, of a free-surface gravity wave in deep water is a function of wavelength, , depth, D,... Problem 17P: Derive an expression for the velocity of very small ripples on the surface of a liquid if this... Problem 18P: Derive an expression for the axial thrust exerted by a propeller if the thrust depends only on... Problem 19P: Derive an expression for drag force on a smooth submerged object moving through incompressible fluid... Problem 20P: The energy released during an explosion, E, is a function of the time after detonation t, the blast... Problem 21P: Measurements of the liquid height upstream from an obstruction placed in an open-channel flow can be... Problem 22P: The load-carrying capacity, W, of a journal bearing is known to depend on its diameter, D, length,... Problem 23P: Derive an expression for the drag force on a smooth object moving through compressible fluid if this... Problem 24P: A circular disk of diameter d and of negligible thickness is rotated at a constant angular speed, ,... Problem 25P: Two cylinders are concentric, the outer one fixed and the inner one movable. A viscous... Problem 26P: The time, t, for oil to drain out of a viscosity calibration container depends on the fluid... Problem 27P: You are asked to find a set of dimensionless parameters to organize data from a laboratory... Problem 28P: A continuous belt moving vertically through a bath of viscous liquid drags a layer of liquid, of... Problem 29P: Derive an expression for the frictional torque exerted on the journal of a bearing if this torque... Problem 30P: Tests on the established flow of six different liquids in smooth pipes of various sizes yield the... Problem 31P: The power, P, required to drive a fan is believed to depend on fluid density, , volume flow rate, Q,... Problem 32P: The sketch shows an air jet discharging vertically. Experiments show that a ball placed in the jet... Problem 33P: The diameter, d, of bubbles produced by a bubble-making toy depends on the soapy water viscosity, ,... Problem 34P: Choked-flow nozzles are often used to meter the flow of gases through piping systems. The mass flow... Problem 35P: A large tank of liquid under pressure is drained through a smoothly contoured nozzle of area A. The... Problem 36P: Spin plays an important role in the flight trajectory of golf, ping-pong, and tennis balls.... Problem 37P: The power loss, P, in a journal bearing depends on length, l, diameter, D, and clearance, c, of the... Problem 38P: The thrust of a marine propeller is to be measured during open-water tests at a variety of angular... Problem 39P: The rate dT/dt at which the temperature T at the center of a rice kernel falls during a food... Problem 40P: When a valve is closed suddenly in a pipe with flowing water, a water hammer pressure wave is set... Problem 41P: An airship is to operate at 20 m/s in air at standard conditions. A model is constructed to 1:20... Problem 42P: An airplane wing of 3 m chord length moves through still air at 15C and 101.3 kPa at a speed of 320... Problem 43P: A flat plate 1.5 m long and 0.3 m wide is towed at 3 m/s in a towing basin containing water at 20C,... Problem 44P: This 1:12 pump model using water at 15C simulates a prototype for pumping oil of specific gravity... Problem 45P: An ocean-going vessel is to be powered by a rotating circular cylinder. Model tests are planned to... Problem 46P: On a cruise ship, passengers complain about the noise emanating from the ships propellers (probably... Problem 47P: A 1:3 scale model of a torpedo is tested in a wind tunnel to determine the drag force. The prototype... Problem 48P: A flow rate of 0:18 m3/s of water at 20C discharges from a 0.3 m pipe through a 0.15 m nozzle into... Problem 49P: A force of 9 N is required to tow a 1:50 ship model at 4:8 km/h. Assuming the same water in towing... Problem 50P: An airplane wing, with chord length of 1.5 m and span of 9 m, is designed to move through standard... Problem 51P: A water pump with impeller diameter of 24 in. is to be designed to move 15 ft3/s when running at 750... Problem 52P: A model hydrofoil is to be tested at 1:20 scale. The test speed is chosen to duplicate the Froude... Problem 53P: A ship 120 m long moves through freshwater at 15C at 32 km/h. A 1:100 model of this ship is to be... Problem 54P: A 1:30 scale model of a cavitating overflow structure is to be tested in a vacuum tank wherein the... Problem 55P: In some speed ranges, vortices are shed from the rear of bluff cylinders placed across a flow. The... Problem 56P: A 1:8 scale model of a tractor-trailer rig is tested in a pressurized wind tunnel. The rig width,... Problem 57P: On a cruise ship, passengers complain about the amount of smoke that becomes entrained behind the... Problem 58P: When a sphere of 0.25 mm diameter and specific gravity 5.54 is dropped in water at 25C it will... Problem 59P: The flow about a 150 mm artillery projectile which travels at 600 m/s through still air at 30C and... Problem 60P: Your favorite professor likes mountain climbing, so there is always a possibility that the professor... Problem 61P: A 1:50-scale model of a submarine is to be tested in a towing tank under two conditions: motion at... Problem 62P: Consider water flow around a circular cylinder, of diameter D and length l. In addition to geometry,... Problem 63P: A 1:10 scale model of a tractor-trailer rig is tested in a wind tunnel. The model frontal area is Am... Problem 64P: The power, P, required to drive a fan is assumed to depend on fluid density , volume flow rate Q,... Problem 65P: Over a certain range of air speeds, V, the lift, FL, produced by a model of a complete aircraft in a... Problem 66P: The pressure rise, p, of a liquid flowing steadily through a centrifugal pump depends on pump... Problem 67P: An axial-flow pump is required to deliver 0.75 m3/s of water at a head of 15 J/kg. The diameter of... Problem 68P: A model propeller 1 m in diameter is tested in a wind tunnel. Air approaches the propeller at 50 m/s... Problem 69P: Consider Problem 7.38. Experience shows that for ship-size propellers, viscous effects on scaling... Problem 70P: Closed-circuit wind tunnels can produce higher speeds than open-circuit tunnels with the same power... Problem 71P: A 1:16 model of a bus is tested in a wind tunnel in standard air. The model is 152 mm wide, 200 mm... Problem 72P: The propagation speed of small-amplitude surface waves in a region of uniform depth is given by... format_list_bulleted