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The Stokes-Oseen formula for drag force on a sphere at low speed is given as D = 3dV +916V 2d2, where D is drag, V is velocity,  is density, d is the sphere diameter, and  is the viscosity coe¢ cient. (a) Using the formula given, Önd the dimensions of the viscosity coe¢ cient. (Donít simply look up the dimensions; use the formula to show them.) Be sure to show your work. Find the primary units of viscosity in SI and British units. (b) Verify that the Stokes-Oseen formula is dimensionally homogeneous.

The Stokes-Oseen formula for drag force on a sphere at low speed is given as D = 3dV +916V 2d2, where D is drag, V is velocity,  is density, d is the sphere diameter, and  is the viscosity coe¢ cient. (a) Using the formula given, Önd the dimensions of the viscosity coe¢ cient. (Donít simply look up the dimensions; use the formula to show them.) Be sure to show your work. Find the primary units of viscosity in SI and British units. (b) Verify that the Stokes-Oseen formula is dimensionally homogeneous.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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 5.13P: 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its...
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The Stokes-Oseen formula for drag force on a sphere at low speed is given as
D = 3dV +916V 2d2, where D is drag, V is velocity,  is density, d is the sphere diameter, and  is the viscosity coe¢ cient.
(a) Using the formula given, Önd the dimensions of the viscosity coe¢ cient. (Donít simply look up
the dimensions; use the formula to show them.) Be sure to show your work. Find the primary
units of viscosity in SI and British units.
(b) Verify that the Stokes-Oseen formula is dimensionally homogeneous.

3. The Stokes-Oseen formula for drag force on a sphere at low speed is given as D = 3#µdV + where D is drag, V is velocity, p is density, d is the sphere diameter, and e is the viscosity coefficient. (a) Using the formula given, find the dimensions of the viscosity coefficient. (Don't simply look up the dimensions; use the formula to show them.) Be sure to show your work. Find the primary units of viscosity in SI and British units. (b) Verify that the Stokes-Oseen formula is dimensionally homogeneous.
Transcribed Image Text:3. The Stokes-Oseen formula for drag force on a sphere at low speed is given as D = 3#µdV + where D is drag, V is velocity, p is density, d is the sphere diameter, and e is the viscosity coefficient. (a) Using the formula given, find the dimensions of the viscosity coefficient. (Don't simply look up the dimensions; use the formula to show them.) Be sure to show your work. Find the primary units of viscosity in SI and British units. (b) Verify that the Stokes-Oseen formula is dimensionally homogeneous.
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