Find the differential equation, Mechanical Engineering

Assignment Help:

Find the Differential Equation

Flow problems where the Reynolds number is very, very small (Re<<1) are called "creeping flow." These problems are of special interest because, unlike many other fluid mechanics problems, they can often be solved analytically. The underlying reason for this is that the Navier-Stokes equation contains a non-linear term. However, if the Reynolds number is so small that it approaches zero, this non-linear term also approaches zero and effectively disappears from the equation.

(a) The space between two coaxial cylinders is filled with an incompressible fluid at constant temperature. The radii of the inner and outer wetted surfaces are κR and R, respectively. The inner and outer cylinders are rotated with a steady angular velocity of Ωi and Ωo, respectively, where these are sufficiently slow such that creeping flow may be assumed. Find the differential equation and boundary conditions that may be solved to find the velocity distribution in the fluid. (Note: You are not being asked to solve this equation!)

 (b) Repeat for the analogous problem of concentric spheres.


Related Discussions:- Find the differential equation

Vibration, On the Moodle site just below the assignment you will find data ...

On the Moodle site just below the assignment you will find data from a slow sine sweep test conducted on a car on a "four-post" road simulator for the frequency range 0 to 20 Hz in

Workshop disciplines for general safety, WORKSHOP DISCIPLINES Followin...

WORKSHOP DISCIPLINES Following discipline tips should be made a part of life to become a good technician. These will certainly help in creating safe, friendly and clean enviro

Tensile and compressive force - mechanics, Tensile and Compressive Force: ...

Tensile and Compressive Force: T ensil e Forces A force, that pulls the body, is called as tensile force. Here member AB is tension member carrying tensile force P. As

Evaluate stress in fibre, Evaluate stress in fibre: Example, the matri...

Evaluate stress in fibre: Example, the matrix material can be stressed to its full strength of 80 MPa, calculate the allowable % of broken fibres. What will be the stress in f

Solids of mechanics, Derive the equation for pure bonding of beam (simply)

Derive the equation for pure bonding of beam (simply)

Brazing vs welding, Brazing Vs Welding Following are the differences be...

Brazing Vs Welding Following are the differences between brazing and welding. (i)  In brazing, the joint surfaces are not raised to fusion point (or melted) and the joint is

Effect of the wet and dry curing methods on the strength, Effect of curing ...

Effect of curing conditions on strength, porosity, absorptivity, and shrinkage of concrete in hot and dry climate Abstract This term paper will study the effect of the wet a

Prototype sand blast method, During the test run of prototype machine we fo...

During the test run of prototype machine we found out a few issue occurred due to blasting room design problem. The blasting room design is too quartet, this design had cause the b

Plant layout optimization, How to do matlab coding for computerized relativ...

How to do matlab coding for computerized relative allocation of facilities technique

Punches -tool and equipment , Punches Figure: Punches A bar wh...

Punches Figure: Punches A bar which carries a sharp point at one end and used to make a permanent mark on a part is called punch. The point is hard and tempered so tha

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd