Show that the solution of thin airfoil theory of a symmetric airfoil given below satisfies the Kutta condition. What angle of at
tack is required to develop a sectional lift coefficient of 0.5. Using the circulation distribution for the symmetric thin airfoil, calculate the sectional pitching moment about a point 0.5 chord from the leading edge.gamma(theta) = 2 alpha U_ infinity 1 + cos theta/sin theta
1 answer:
Answer:
The kutta condition is satisfied
Explanation:
Thin airfoil theory: This can be described as a simple theory of airfoils that relates angle of attack to lift for incompressible, inviscid flows.
The theory simply puts the idea that the flow around an airfoil is as two-dimensional flow around a thin airfoil. It can be imagined as addressing an airfoil of zero thickness and infinite wingspan.
kindly check attachment for the calculation of the sectional pitching moment about a point 0.5 chord from the leading edge.gamma(theta) = 2 alpha U_ infinity 1 + cos theta/sin theta.
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Answer:
a
The rate of work developed is
b
The rate of entropy produced within the turbine is
Explanation:
From the question we are told
The rate at which heat is transferred is
the negative sign because the heat is transferred from the turbine
The specific heat capacity of air is
The inlet temperature is
The outlet temperature is
The pressure at the inlet of the turbine is
The pressure at the exist of the turbine is
The temperature at outer surface is
The individual gas constant of air R with a constant value
The general equation for the turbine operating at steady state is \
h is the enthalpy of the turbine and it is mathematically represented as
The above equation becomes
Where is the heat transfer from the turbine
is the work output from the turbine
is the mass flow rate of air
is the rate of work developed
Substituting values
The general balance equation for an entropy rate is represented mathematically as
=>
generally
substituting for
Where is the rate of entropy produced within the turbine
substituting values
Answer:
a) , b)
Explanation:
a) The coefficient of performance of a reversible refrigeration cycle is:
Temperatures must be written on absolute scales (Kelvin for SI units, Rankine for Imperial units)
b) The respective coefficient of performance is determined:
But:
The temperature at hot reservoir is found with some algebraic help: