Question: The differential energy equation for incompressible two-dimensional flow through a Darcy-type porous medium is approximately Where is the permeability of the porous medium, all other

The differential energy equation for incompressible two-dimensional flow through a “Darcy-type” porous medium is approximately
Where σ is the permeability of the porous medium, all other symbols have their usual meanings.
(a) What are the appropriate dimensions for σ?
(b) Non-dimensionalize this equation, using (L, U, ρ, To) as scaling constants, and discuss any dimensionless parameters which arise.

Step by Step Solution

★★★★★

3.38 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The only way to establish is by comparing two terms in the PDE 2007127 dp dT p dx d... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

E-ME-FM (571).docx

120 KBs Word File

Students Have Also Explored These Related Mechanical Engineering Questions!

For the one-dimensional flow through the porous medium shown in Figure P14 -2 with fluid flux at the right end, determine the potentials at the third points. Also determine the velocities in each...

For the one-dimensional fluid flow through the stepped porous medium shown in Figure P14-3, determine the potentials at the junction of each area. Also determine the velocities in each element. Let...

For the one-dimensional flow through the porous media shown in Figure P14 -1, determine the potentials at one-third and two-thirds of the length. Also determine the velocities in each element. Let A...

A 1 meter long stainless steel wire that is 5 mm in diameter is streched between two poles. The wire carries a 700 A current and has an electrical resistance of 6x10^-4 Ohms/meter. Do the following:...

Consider a laminar flow past an arbitrarily shaped surface for which the distribution of wall shear stress To(x) is known. The thermal boundary condition is an unheated starting length followed by...

Once the stepped leader has made contact with the earth it is believed that a power return stroke(Fig. 1.6(c)) moves very fast up towards the cloud through the already ionized path by the leader....

We know that the voltage and current transmitted into the tower will depend upon the surge impedance of the tower and the ground impedance (tower footing resistance) of the tower. If it is low, the...

The system is, then, equivalent to line bifurcated at the a towerpoint.We know that the voltage and current transmitted into the tower will depend upon the surge impedance of the tower and the ground...

The tower presents a discontinuity to the travelling waves; therefore they suffer reflections and refraction. The system is, then, equivalent to line bifurcated at the a towerpoint.We know that the...

This streamer is very intense where the current varies between 1000 amps and 200,000 amps and the speed is about 10% that of light. With a particular number of towers the chances of incidence of...

What operational as well as personal challenges might the person you recommend encounter if named managing director?

Calculate the torque of the weight acting on the projectile about the origin (A) mgu cos Oti (B) mgu sin tj (C) -mgu cos Otk (D) mgu sin etj

E18.10 Prepare a flexible budget report and answer the question. LO7 As sales manager, Todd Keyser was given the following static budget report for selling expenses in the Clothing Department of...

5) A loan is being repaid with payments of $750 at the end of each year for 25 years. The annual effective interest rate on the loan is 5%. Each loan payment received by the lender is immediately...

Find the vector form of the plane passing through the origin and orthogonal ton = (3,1,-6).

One of Natalie's friends, Curtis Lesperance, runs a coffee shop where he sells specialty coffees and prepares and sells muffins and cookies. He is eager to buy one of Natalie's fine European mixers,...

The concentrations of potassium ions in the interior and exterior of a nerve cell at 298K are 250M and 50M. What is the cell potential assuming the nerve cell as a concentration cell?

Use the Internet or Strayer Library to research at least two accounting scandals within the past five years. Based on the accounting scandals you researched, identify the accounts that the fraud had...

Compare the ATP yield of three glucose molecules that enter glycolysis and are converted to pyruvate with that of three glucose molecules that proceed through the pentose phosphate pathway such that...

AA myopenmath.com Lab 15 Confidence Intervals II Score: 4/91 0/11 answered Progress saved Done . . . Question 2 1/5 pts 9 1-3 23 0 Details Score on last try: 1 of 5 pts. See Details for more. > Next...

Statistics help The Acme Pro Office service provides temporary office personnel for many corporations. They have found that 88% of their invoices are paid within 10 working days by these...

What is AEI's times-interested-earned (TIE) ratio? TIE RATIO AEI Incorporated has $5 billion in assets, and its tax rate is 40%, Its basic earning power (BEP) ratio is 10%, and its return on assets...