### Determine the volume flow rate per unit width and the shear

Assignment Help Civil Engineering
##### Reference no: EM13544589

Oil μ=0.4N * s/m2 flows between two fixed horizonta; infinite parallel plates with a spacing of 5mm. the flow is laminar and steady with a pressure gradient of -900 N/m2

Determine the volume flow rate per unit width and the shear stress of the upper plate (Start with the full, three-dimensional Navier-Stokes equations and the continuity equation, simplify them, and then solve them for the given situation. Do not just use the equations developed in the text – you must show how these equations were developed.

Hint: For the boundary conditions for this flow, use that the velocity gradient,∂u/∂y= 0, in the centre of the flow and the no-slip condition on the pipe wall. Also, carry through ∂p*/∂x as a constant through your integration.

#### Questions Cloud

 Calculate the horizontal scale factor and effective : The foundation soil for an earth dam has a horizontal hydraulic conductivity of 1.5 x 10-9 m/s and a vertical hydraulic conductivity of 1 x 10-10 m/s. It is proposed to estimate the seepage flow rate through the foundation soil using the flow net ske.. Determine the maximum tensile and compression stresses in : A 6ft wide, 10ft high vertical rectangular gate has its top edge 6ft below the water level. it is hinged along its lower edge. what force, acting on the top edge, is necessary to hold the gate shut? When the local mean time at los angeles : The longitude of Albany, New York, is +73 degrees 44' 49" and the longitude of Los Angeles, California, is +118 degrees 10' 44". When the local mean time at Los Angeles is 10h 41m 00s a.m., the local mean time at Albany is Calculate the height of water in the standpipe after 4 hours : A falling-head permeability test is being conducted on a saturated sample of clayey silt having hydraulic conductivity of 6.5 x 10-9 m/s. The diameter and the length of the sample are 100 mm and 150 mm Determine the volume flow rate per unit width and the shear : Determine the volume flow rate per unit width amd tje shear stress of the upper plate (Start with the full, three-dimensional Navier-Stokes equations and the continuity equation, simplify them, and then solve them How large must the sample be if we wish to be at least : How large must the sample be if we wish to be at least 95% confident that the error in estimating p is less than 0.02, regardless of the true value of p? What is the temperature of the small vessel at the end of : A small nitrogen container is at Pressure P1 = 5 bar and T1 = 300 K. It's been filled from a larger nitrogen container, which is P= 10 bar and T = 300 K. The filling process ends when pressure in the small container Determine whether the crystal structure for this alloy is : Some hypothetical alloy is composed of 12.5 wt% of metal A and 87.5 wt% of metal B. If the densities of metals A and B are 4.27 and 6.35 g/cm3, respectively, whereas their respective atomic weights are Determine the total amount of heat transfer from the : Liquid propane is commonly used as a fuel for heating homes, powering vehicles such as forklifts, and filling portable picnic tanks. Consider a propane tank that initially contains

### Write a Review

#### What is the reaeration coefficient if it is assumed that no

Your other assistant is measuring the propane (C3H8) concentrations, which are 75 microM at 200 m downstream and 52 microM at 1500 m downstream. What is the reaeration coefficient if it is assumed that no dilution occurred due to lateral flow?

#### What are the effects of water pollution on the components

What are the effects of water pollution on the components of the hydrologic cycle?

#### Determine the scale of the project graphically andanalytical

Assume the following equations for the total benefit and totalcost of a reservoir project as afunction of scale, Q, expressed asmillion gallons water delivered per day(MGD):

#### Design of wastewater treatment plant for a community

Consider the design of wastewater treatment plant for a community wiyh average daily and peak hourly wastewater design flows of 2.0 mgd. The raw sewage has an average of 230 mg/l BOD5 and 260 mg/l of suspended solids.

#### Estimate the change in pressure over 100 m of pipeline

Water at 20 degrees flows at a velocity of (V =) 2 m/s in a (D =) 250-mm diameter horizontal ductile iron pipe. Estimate the friction factor f in the pipe, and state whether the pipe is hydraulically smooth or rough.

#### Find how many dimensionless parameters govern this problem

The flowrate Q over a rectangular sharp crested weir depends on the width of the notch b, the head on the weir H, and the acceleration due to gravity g.

#### Formulate the shear and bending moment expressions

Show/formulate the shear and bending moment expressions for each board, and plot/draw the shear and bending moment diagrams of the boards.

#### Draw the shear and bending moment diagrams for the beam

The beam ABC of length L has two different moments of inertia (2I in AB, I in BC) and a constant elastic modulus E. It is fixed at point A has a roller support at point B and a load P at C. a. Sketch the deflected shape of this beam.

#### How much caco3 is produced per hour

A slurry containing 20 percent by weight of limestone (CaCO3) is processes to separate pure dry limestone from water. If feed rate is 2000kg/h, how much CaCO3 is produced per hour?

#### Find what is the degree of saturation of the field sample

Let us pretend you are an earthwork construction control inspector and you are checking the field compaction of a layer of soil. After compaction in the field, the density of soil was checked by excavating part of the compacted soil

#### Explain how a set of points maximizes the minimum angle

Prove that the smallest angle of any triangulation of a convex polygon whose vertices lie on a circle is the same. This implies that any completion of the Delaunay triangulation of a set of points maximizes the minimum angle.

#### Assume atmospheric pressure at the outlet section

The propellor is situated at the end of the tunnel wherethe area is 10 m2 (rigth before the tunnelis opened to the atmosphere). So I used the energyequation, but I have two unknows: pressure P of thetest section, and the shaft work hT orhP (I am not ..