Determine the volume flow rate per unit width and the shear

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.

Reference no: EM13544589

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

User Account

All Pages