How Can We Derive the Frictional Force on a Spherical Object in a Viscous Fluid?

anooop
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Homework Statement



Derive an expression for frictional force
acting on a spherical objects of radius R
moving with velocity V
in a continuous viscous fluid of fluid's viscosity η .

Homework Equations



please do not use dimension analysis to prove.

The Attempt at a Solution

 
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anooop said:

Homework Statement



Derive an expression for frictional force
acting on a spherical objects of radius R
moving with velocity V
in a continuous viscous fluid of fluid's viscosity η .

Homework Equations



please do not use dimension analysis to prove.

The Attempt at a Solution

Welcome to Physics Forums.

As per the forum guidelines, we can only help you with your homework if you have provided an acceptable attempt yourself.

Show us what you have so far and we'll help you.
 
Apart from "Mechanics of Continuous Media",i have good understanding of other undergraduate physics topics as well.
I do not have enough time to go through the whole of fluid dynamics.
i want to know only 3 things in Mechanics of Continuous Media fo my exam.
(a) proof of stokes's law,poiseuille equation,elastic constants and their inter-relation.
please help with these topics.
 
anooop said:
Apart from "Mechanics of Continuous Media",i have good understanding of other undergraduate physics topics as well.
I do not have enough time to go through the whole of fluid dynamics.
i want to know only 3 things in Mechanics of Continuous Media fo my exam.
(a) proof of stokes's law,poiseuille equation,elastic constants and their inter-relation.
please help with these topics.
Then I suggest you look through your lecture notes and textbooks. You will not be spoon fed answers here. However, if you are willing to put some effort in, we are more than happy to help you.
 
NOw i know the proof of stokes's law,poiseuille equation.
I never believed that the proof would be such a general one(u only need to know Newton's law).
All book except one(physical fluid mechanics by d.j tritton)were providing proof after digging into 100s of pages of fluid dynamics .
thanks D.J TRITTON
thanks you as well, even for not helping me.
 
NOw i know the proof of stokes's law,poiseuille equation.
I never believed that the proof would be such a general one(u only need to know Newton's law).
All book except one(physical fluid mechanics by d.j tritton)were providing proof after digging into 100s of pages of fluid dynamics .
thanks D.J TRITTON
thanks you as well, even for not helping me.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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