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sydneylocascio26
15.04.2020 •
Engineering
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?
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Ответ:
(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)![\frac{dP}{dx} = \frac{0\, atm -1 \, atm}{1.25 \, m} = \frac{0\, bar-1.01325 \, bar}{1.25 \, m} = 0.8106 \, bar = 81060 \, Pa](/tpl/images/0600/6483/52679.png)
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
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.
Ответ:
that sucks im sorry
Explanation: