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

Scissors crossing, Scissors Crossing: A scissors crossing consists of...

Scissors Crossing: A scissors crossing consists of two crossovers overlapping each other. It is shown in Figure. Figure: Scissors Crossover Triangles

Determine the pressure point for hydrostatic force, The 300 kg, 8-m-wide re...

The 300 kg, 8-m-wide rectangular gate shown in the figure is hinged at B and leans against the floor at A making an angle of 60° with the horizontal. The gate is to be open from it

What is called materials which can store electrical energy, Materials which...

Materials which can store electrical energy are called (A) magnetic materials.  (B) semi conductors. (C) dielectric materials.  (D) super conductors. Ans: Mater

Rough-cut capacity planning, A small producer of specialist vehicles is bui...

A small producer of specialist vehicles is building a new workshop to meet expected demand for its products over a period of 5 years.  The workshop will contain three workcentres,

Torsion, diameter = 100mm length = 470mm power = 4000 w radians = 78 shear ...

diameter = 100mm length = 470mm power = 4000 w radians = 78 shear modulus 60000 n/mm^2 determin the maximum shear stress and angle of twist

RC circuit, #question.I am doing a ,ini project on Hovercrafts .As i am fro...

#question.I am doing a ,ini project on Hovercrafts .As i am from mechanical i need assistance regarding control over brushless motors.

Can you explain bentonite binders, Q. Can you explain Bentonite binders? ...

Q. Can you explain Bentonite binders? Its general composition is MgO.Al 2 O 3 .Sio 2 .H 2 O. it is formed by weathering of volcanic or igneous rocks. It is a creamy white powde

Stages in making a spot welding, Q.Show the procedure of spot welding ? ...

Q.Show the procedure of spot welding ? The steps involved in making a spot weld are listed below and shown but before spot welding one must make sure that (i) The job is clea

Welder performance qualifications, WELDER PERFORMANCE QUALIFICATIONS ...

WELDER PERFORMANCE QUALIFICATIONS Requirement of Welder Qualification In performance qualification, the basic attempt is to establish the ability of the welder to dep

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