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.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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.
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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