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

anooop
Messages
9
Reaction score
0

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

 
Physics news on Phys.org
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.
 

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
View full post »

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Similar threads

Power required to move a glass bead in a viscous fluid
Replies
5
Views
1K
I Fluid Viscosity & Viscous Friction Between Plates
Replies
4
Views
2K
Stokes' Law: Why does viscous drag depend upon the radius of the spherical body?
Replies
4
Views
4K
How Do Viscous Interactions Differ in Vertical and Horizontal Geometries?
Replies
31
Views
3K
Verifying Stokes' Flow for Fluid Motion Around a Sphere
Replies
13
Views
2K
High viscous fluid, how fast will a object sink?
Replies
5
Views
5K
Gravity-induced viscous flow around a cylinder
Replies
4
Views
2K
Inertial Force in Fluid Mechanics
Replies
5
Views
5K
How Does a Paramecium Move Through Viscous Fluid?
Replies
3
Views
4K
Fluid flow around a sphere, what's the net force?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top