A spherical particle falling at a terminal speed in a liquid must have the gravitational force balanced by the drag force and the buoyant force. The buoyant force is equal to the weight of the displaced fluid, while the drag2R?g-(Ps - P1), where R is the radius of the sphere, Pg is its density, and p, is the density of the fluid, and n the coefficient of9nforce is assumed to be given by Stokes' law, Fs =6trnv. The terminal speed is given by v =viscosity.Using the equation above, find the viscosity of motor oil (in mPa · s) in which a steel ball of radius 0.7 mm falls with a terminal speed of 8.16 cm/s. The densities of the ball and the oil are 7.86 and 0.88 g/mL, respectively.mPa · s

Given data: R=0.7 mm=0.7×10-3 mv=8.16 cms=8.16×10-2 msρs=7.86 gmL=7860 kgm3ρl=0.88 gmL=880 kgm3

A spherical particle falling at a terminal speed in a liquid must have the gravitational force balanced by the drag force and the buoyant force. The buoyant force is equal to the weight of the displaced fluid, while the drag force is assumed to be given by Stokes' law, Fs = 6arnv. The terminal speed is given by v = K 9 (Ps - P), where R is the radius of the sphere, p, is its density, and p, is the density of the fluid, and n the coefficient of 9n viscosity. Using the equation above, find the viscosity of motor oil (in mPa · s) in which a steel ball of radius 0.7 mm falls with a terminal speed of 8.16 cm/s. The densities of the ball and the oil are 7.86 and 0.88 g/mL, respectively. mPa s

A spherical particle falling at a terminal speed in a liquid must have the gravitational force balanced by the drag force and the buoyant force. The buoyant force is equal to the weight of the displaced fluid, while the drag force is assumed to be given by Stokes' law, Fs = 6arnv. The terminal speed is given by v = K 9 (Ps - P), where R is the radius of the sphere, p, is its density, and p, is the density of the fluid, and n the coefficient of 9n viscosity. Using the equation above, find the viscosity of motor oil (in mPa · s) in which a steel ball of radius 0.7 mm falls with a terminal speed of 8.16 cm/s. The densities of the ball and the oil are 7.86 and 0.88 g/mL, respectively. mPa s

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.32P

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