Determine the velocity profile within a 12 m diameter capillary, with a viscosity of 4 cP, and a pressure gradient of 25 mm Hg 500 m Assume that gravitational effects can be ignored and that the blood vessel is perfectly cylindrical

Question: Determine the velocity profile within a 12 m diameter capillary, with a viscosity of 4 cP, and a pressure gradient of 25 mm Hg/500 m.

Determine the velocity profile within a 12 µm diameter capillary, with a viscosity of 4 cP, and a pressure gradient of 25 mm Hg/500 µm. Assume that gravitational effects can be ignored and that the blood vessel is perfectly cylindrical.

Step by Step Solution

★★★★★

3.37 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Velocity along the pipe varies parabolical... 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

Students Have Also Explored These Related Chemical Engineering Questions!

Determine the velocity profile for fluid flowing between two parallel plates separated by a distance 2h. The pressure drop is constant.

Determine the velocity profile in a fluid situated between two coaxial rotating cylinders. Let the inner cylinder have radius R 1 , and angular velocity 1 ; let the outer cylinder have radius R 2...

A cylindrical pressure vessel having radius r = 300 mm and wall thickness t = 15 mm is subjected to internal pressure p = 2.5 MPa. In addition, a torque T = 120 kN m acts at each end of the cylinder...

Toothbrush manufacturer's have been impregnating their bristles with dye to use as wear indicators. Each bristle is $0.1 \mathrm{~mm}$ in diameter and $12 \mathrm{~mm}$ long. Assuming the dye is...

The entry length problem discussed in Section 13.5.1 can be analyzed using the boundary layer equations for a flat plate. The only caveat is that the thermal boundary layer must be small compared to...

Referring to Figure 8.11 consider conditions in an annulus having an outer surface that is insulated (q: = 0) and a uniform heat flux q"i at the inner surface. Fully developed, laminar flow may be...

Suppose that a liquid is pumped upward at constant volume flow rate Q through a tube of outer radius R, as shown in Fig. P7.9. The liquid overflows the top and runs down the outside. At a certain...

Taking all the Poiseuille flow approximations except that the fluid is Newtonian, determine the velocity profile and flow rate assuming blood is a Bingham plastic fluid based on the shear stress...

A new method for polishing the inside of ferrules used in optical fiber connectors involves a wire that reciprocates through the ferrule opening. We would like to determine the velocity profile of...

Polishing operations involve rubbing two plates past one another with an intervening fluid. The fluid holds abrasive for the polishing and keeps the surfaces cool. One theory asserts that the degree...

On January 1, 2011, Wells Corporation acquires 8,000 shares of Towne Company stock and 18,000 shares of Sara Company stock for $176,000 and $240,000, respectively. Each investment is acquired at a...

A new purification unit is installed in a chemical process. Before its installation, a random sample yielded the following data about the percentage of impurity: x12 9.85,s12 6.79 and n1 10 . After...

12. Identifying Cash Flows (LO2) Last year, Lambeth Pizza Corporation reported sales of $102,000 and costs of $43,500. The following information was also reported for the same period: Based on this...

Blossom Inc. manufactures a single product in a continuous processing environment. All materials are added at the beginning of the process, and conversion costs are incurred uniformly throughout the...

We, the Supreme Court, categorically believe that pornographic films should be regulated. In particular, we believe that stemming the tide of commercialized obscenity serves legitimate state...

APPLY YOUR SKILLS 4 - 1 Create Estimates, a Delayed Credit and a Report Melanie met several potential new customers at her spring sale event. Two businesses are looking for ongoing flower services...

Scroll down to complete all parts of this task. Ember Corp. purchases 20,000 shares (15%) of Stanton Industries at a price of $31/share and pays legal fees of $35,000 for the acquisition. The...

3. The company is considering increasing the selling price per bag. Build a one-way data table based on your spreadsheet model using Excel's Data Table command to show the monthly breakeven number of...

Which of the following indefinite pronouns can be singular or plural depending on its usage? a. any b. both c. either d. nobody

Please answer all 2.43 Crude oil, with specific gravity SG=0.85 and viscosity =2.15103lbfs/ft2, flows steadily down a surface inclined =45 degrees below the horizontal in a film of thickness h=0.1in....

In problem 1 with solve the following, ( i ) Determine the velocity profile and plot the same, when the fluid viscosity varies linearly as a function of temperature in the range defined by the walls"...

Shock absorbers and many other forms of viscous dampers use a piston moving in a cylinder of viscous liquid as illustrated in Figure P2.41. For this configuration the force developed on the piston is...

Q.2 Consider the steady laminar flow of an incompressible Newtonian fluid between the two parallel plates (a) as shown in figure below. Spacing between the plates is 'b' and length and width of each...

4 . 4 - 2 . Solve 1 - 3 after solving question. 1 . Derive the equation for the velocity profile ( separate , intergrate, and simplify ) . 2 . Derive the equation for average velocity. 3 . Derive the...

4 . 4 - 2 . Shell Momentum Balance for Flow Between Parallel Plates. A fluid of constant density is flowing in laminar flow at steady state in the horizontal x direction between two flat and parallel...