Answer:
a
The total friction drag for the long side of the plate is 107 N
b
The total friction drag for the long side of the plate is 151.4 N
Explanation:
The first question is to obtain the friction drag when the fluid i parallel to the long side of the plate
The block representation of the this problem is shown on the first uploaded image
Where the U is the initial velocity = 6 m/s
So the equation we will be working with is
Where is the density of SAE 10W = This is obtained from the table of density at 20° C
is the friction drag coefficient
This coefficient is dependent on the Reynolds number if the Reynolds number is less than then the flow is of laminar type and
=
But if the Reynolds number is greater than the flow would be of Turbulent type and
Where Re is the Reynolds number
To obtain the Reynolds number
where L is the length of the long side = 110 cm = 1.1 m
and is the Dynamic viscosity of SAE 10W oil
This is gotten from the table of Dynamic viscosity of oil
So
Since 55211.54 <
Hence
is the area of the plate = =
Since the area is immersed totally it should be multiplied by 2 i.e the bottom face and the top face are both immersed in the fluid
Considering the short side
To obtain the Reynolds number
Here b is the short side
Since the value obtained is not greater than then the flow is laminar
And
The next thing to do is to obtain the total friction drag
Substituting values