image Guest

You need to login to ask any Questions from chapter Properties-of-fluid of Fluid-Mechanics

Chapter:

Properties-of-fluid

A plate having an area of `0.6 m^2` is sliding down inclined plane at an angle of `30^0` to horizontal with a velocity of 0.36 m/sec. There is a cushion of fluid 1.8 mm thick between plane and plate. Find viscosity of fluid if weight of plate is 280N.

SOLUTION:

Given,

Area of plate,`A=0.6 m^2`

Velocity of the plate,`u=0.36`m/s

Thickness of the film,`dy=1.8`mm

Weight of the plate,` W=280 N`

Viscosity of the fluid,` mu=?`

A plate having an area of `0.6 m^2` is sliding down the inclined plane at an angle of `30^0` to the horizontal with a velocity of 0.36 m/sec. There is a cushion of fluid 1.8 mm thick between the plane and the plate. Find the viscosity of the fluid if the weight of the plate is 280N.

Now,

Shear force on the bottom surface of the plate is given by,

F= component of weight along the plane.

or, `F=W*sin30 =140 N`

Thus, shear stress `tau=F/A=140/0.6 =233.33` N/`m^2`


We have,

`tau=mu*(du)/(dy)`

or, `mu=233.33/0.36 *1.8/1000=1.166....Show More

Previous Question
Next Question

All Chapters

View all Chapter and number of question available From each chapter from Fluid-Mechanics

Similar Question

This Chapter Properties-of-fluid consists of the following topics

The general relation between shear stress and velocity gradient of fluid can be written as: `tau=A ((du)/(dy))^n+B` Where A , B and n are constants that depend upon the type of fluid and condition imposed on the flow. Comment the value of these constants so that the fluid may behave as:
  • An ideal fluid
  • A newtonian fluid
  • A non newtonian fluid
Also indicate whether the fluid with the following characteristics is Newtonian or non-Newtonian.
  • `tau=A*y+B` and `U=C_1+C_2*y+C_3*y^2`
  • `tau=A*y^(n (n-1))` and `U=C*y^n`

A plate having an area of `0.6 m^2` is sliding down inclined plane at an angle of `30^0` to horizontal with a velocity of 0.36 m/sec. There is a cushion of fluid 1.8 mm thick between plane and plate. Find viscosity of fluid if weight of plate is 280N.

The space between two square flat parallel plate is filled with oil. Each side of the plate os 720 mm. The thickness of the oil film is 15 mm. The upper plate which moves at 3 m/s requires a force of 120 N to maintain the speed. Determine:
  • the dynamic viscosity of the oil
  • the kinematic viscosity of the oil if the specific gravity of the oil is 0.95

A plate having an area of `0.6 m^2` is sliding down the inclined plane at an angle of `30^0` to the horizontal with a velocity of 0.36 m/sec. There is a cushion of fluid 1.8 mm thick between the plane and the plate. Find the viscosity of the fluid if the weight of the plate is 280N.

Properties of fluid

Fluid-Mechanics