What is an aerofoil? Explain.

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(N/A) An aerofoil is a specially shaped solid body designed to generate an upward dynamic lift when it moves horizontally through a fluid like air.
The cross-section of an aeroplane wing is shaped like an aerofoil,which influences the streamlines of the air flowing around it.
When the aerofoil moves against the wind,its orientation relative to the flow direction causes the streamlines to crowd together more densely above the wing than below it.
According to Bernoulli's principle,since the streamlines are closer together above the wing,the flow speed on the top surface is higher than the flow speed on the bottom surface.
This difference in flow speed creates a pressure difference (higher pressure below and lower pressure above),which generates an upward force called dynamic lift that helps balance the weight of the aeroplane.

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Is Bernoulli's equation unsteady? Explain.

$A$ wind with speed $40 \ m/s$ blows parallel to the roof of a house. The area of the roof is $250 \ m^2$. Assuming that the pressure inside the house is atmospheric pressure,the force exerted by the wind on the roof and the direction of the force will be $(\rho_{air} = 1.2 \ kg/m^3)$.

$Assertion :$ The velocity of flow of a liquid is smaller when pressure is larger and vice-versa.
$Reason :$ According to Bernoulli's theorem,for the stream line flow of an ideal liquid,the total energy per unit mass remains constant.

An application of Bernoulli's equation for fluid flow is found in

An ideal gas of density $\rho_1=0.2 \ kg \ m^{-3}$ enters a chimney of height $h$ at the rate of $\alpha=0.8 \ kg \ s^{-1}$ from its lower end,and escapes through the upper end as shown in the figure. The cross-sectional area of the lower end is $A_1=0.1 \ m^2$ and the upper end is $A_2=0.4 \ m^2$. The pressure and the temperature of the gas at the lower end are $600 \ Pa$ and $300 \ K$,respectively,while its temperature at the upper end is $150 \ K$. The chimney is heat insulated so that the gas undergoes adiabatic expansion. Take $g=10 \ ms^{-2}$ and the ratio of specific heats of the gas $\gamma=2$. Ignore atmospheric pressure. Which of the following statement$(s)$ is(are) correct?

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