Engine oil at T = 60 °C is forced to flow between two very large, stationary, parallel flat plates separated by a thin gap height h = 3.60 mm. The plate dimensions are L = 1.25 m and W = 0.550 m. The outlet pressure is atmospheric, and the inlet pressure is 1 atm gage pressure.
Estimate the volume flow rate of oil. Also calculate the Reynolds number of the oil flow, based on gap height h and average velocity V.
Is the flow laminar or turbulent?

(a) The volume flow rate is 5.43 × 10⁻³ m³/s

(b) The Reynolds's number is 251.1

The flow is laminar as the Reynolds's number is below the critical value of 2040

Explanation:

Here, we have  

The engine oil temperature = 60 °C

Plate gap = 3.60 m

Plate dimensions =

Length, L = 1.25 m

Width, W = 0.550 m

Inlet pressure = 1 atm

Viscosity of engine oil at  SAE 10W - 60

μ = 31.946 mPa.s = 0.031946 kg/m·s

(a)

The rate of change of velocity is given by;

By substituting, we arrive at

The volume flow rate is

(b) The velocity, V is given by

, we plug in the values and we have;

Reynolds's number is given by;

Where, ρ for the engine oil is 0.8130 g/cm³ = 813 kg/m³

As the Reynolds's number value is less than 2040, the flow is laminar flow.

unlike the threaded fasteners which are used to clamp the machine members, power screws are used to transmit power. common applications of power screws are: screw jacks: to lift weight. lead screw of lathe: for axial movement of tool and its precise positioning.

it was a fall down when it happens

explanation: