A steady two-dimensional laminar fully-developed flow downward between two fixed parallel plates inclined at 50" with...

A steady two-dimensional laminar fully-developed flow downward between

two fixed parallel plates inclined at 50" with horizontal is shown in figure. The

pressure gradient in the direction of the flow is -3935 N/m' per m. Note the

space between parallel plates is 5mm.Use the Navier-Stokes equation in the

flow direction to determine:

a-Velocity distribution of the flow between two plates.

b-Shear stress distribution of the low between two plates.

c- The average velocity of the flow

d- Maxinmum velocity

e-Mininmum shear stress.

f-The shear stress on the two plate

g-What will be the slope of the plate required to produce zero shear stress at the lower plate

Viscosity=0.02

Density=900

Solutions

Expert Solution

samet mamat answered 1 year ago

Next > < Previous

Related Solutions

A liquid flows down an inclined plane surface in a steady, full developed laminar film of...

A liquid flows down an inclined plane surface in a steady, full developed laminar film of thickness h. Simplify the Navier-Stokes equations to model this flow field. Obtain expressions for the liquid velocity profile, the shear stress distribution, the volumetric flow rate, and the average velocity. Calculate the volumetric flow rate in a film of water h=1 mm thick, flowing on a surface b=1 m wide, inclined at 15 degrees to the horizontal.

Consider two-dimensional incompressible plane viscous flow between parallel plates a distance 2h apart, with the origin...

Consider two-dimensional incompressible plane viscous flow between parallel plates a distance 2h apart, with the origin along the centerline. The plates are very wide and very long, so that the flow is essentially axial. The present case is where the upper plate moves at velocity V but there is no pressure gradient. Neglect gravity effects. Determine the velocity profile for this flow.

Consider the steady flow between two flat plates. The plates are 10 cm apart and the...

Consider the steady flow between two flat plates. The plates are 10 cm apart and the width of the channel is 10 cm. Water is the working fluid. The flow velocity varies linearly from zero at the bottom plate to 10 m/s at the top plate. (This general class of flows is known as Couette Flow). Determine the total mass flow and momentum per unit time crossing an imaginary plane across the channel.

Steady, laminar flow in an annulus (flow between two stationary concentric cylinders) Obtain an expression for...

Steady, laminar flow in an annulus (flow between two stationary concentric cylinders) Obtain an expression for the developed velocity Distribution and the volumetric flow rate for a laminar, steady, incompressible, fully developed flow in an annulus.

Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two ...

Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates (Figure \(3(a))\). The top plate is moving at speed \(V\), and the bottom plate is stationary. The distance between these two plates is \(h .\) The gravity acts in the \(z\) direction so the flow can be considered essentially two dimensional in \(x-y\) plane. Assume there acts an applied pressure gradient in the \(x\) -direction with its gradient given by, \(\partial P...

(1) Describe briefly the definition of fully developed laminar flow. (2) From governing laws for fully...

(1) Describe briefly the definition of fully developed laminar flow. (2) From governing laws for fully developed laminar flow, derive an equation for fully developed laminar flow that shows the relation between flowrate and pressure gradient.

This is a heat transfer problme. Prove that Nu=4.36 for fully-developed laminar flow in a tube...

This is a heat transfer problme. Prove that Nu=4.36 for fully-developed laminar flow in a tube subject to a constant surface heat flux boundary condition. This was posted before but it was a bit unclear, thanks!

Fully developed (both hydrodynamic and thermal) laminar flow is pushed through a thin-walled circular pipe of...

Fully developed (both hydrodynamic and thermal) laminar flow is pushed through a thin-walled circular pipe of diameter 13 mm. The fluid flows through the pipe at a velocity of 0.1 m/sec, has a density of 1000 kg/m^3, a dynamic viscosity of 855 x 10^-6 Pa-sec, a specific heat of 4000 J/kg-K, a Prandtl number of 8, and a thermal conductivity of 0.613 W/(m-K). The outside of the pipe is subjected to uniform cross flow where the free-stream velocity is 5...

Consider the two-dimensional laminar boundary layer flow of air over a wide 15 cm long flat...

Consider the two-dimensional laminar boundary layer flow of air over a wide 15 cm long flat plate whose surface temperature varies linearly from 20°C at the leading edge to 40°C at the trailing edge. This plate is placed in an airstream with a velocity of 2 m/s and a temperature of 10°C. Numerically determine how the surface heat flux varies along the plate. Explain the results obtained with proper reasoning. Support your results with scaling analysis wherever possible.I need c++...

A man of 50.0 kg mass is in equilibrium between two parallel plates. The man is...

A man of 50.0 kg mass is in equilibrium between two parallel plates. The man is charged up to + 130. mC of charge. The plates are 1.75 meters apart. a. Draw a Free Body Diagram of the man. Hint: He is like a giant oil drop. b. What must be the value of the electric force to keep him suspended between the plates? c. What is the value of the electric field between the plates? d. What must be...

Subjects