Proving Poiseuille's Equation for Pressure Drop

[anooop]

Homework Statement

Prove that pressure drop (ΔP) of a fluid, in laminar flow, through a cylindrical tube is given by
ΔP=(8QμL)/π(r)^4
where

Q = volumetric flow rate
μ = viscosity,
L = tube length, in
R = tube radius, in

Homework Equations

please do not use dimensional analysis to prove.

The Attempt at a Solution

 

[zorro]

Refer this
http://en.wikipedia.org/wiki/Hagen–Poiseuille_equation

The proof requires the knowledge of advanced maths ( Taylor Series ) which is taught only in undergraduate courses.
You don't learn it in 12th unless you are writing any entrance.

 

[anooop]

I have decent knowledge of taylor series.
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
(a) proof of stokes's law,poiseuille equation,elastic constants and their inter-relation.
please help with these topics.

 

[anooop]

I have decent knowledge of taylor series.
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
(a) proof of stokes's law,poiseuille equation,elastic constants and their inter-relation.
please help with these topics.

 

[anooop]

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.