A fluid particle flowing along a stagnation streamline, as shown in Video V4.9 and Fig. P4.35, slows down as it approaches the s
tagnation point. Measurements of the dye flow in the video indicate that the location of a particle starting on the stagnation streamline a distance s = 0.8 ft upstream of the stagnation point at t = 0 is given approximately by s = 0.8e-0.61t where t is in seconds and s is in feet.(a) Factor the relation for the speed as a function of position out of the relation for speed as a function of time. What is the expression for speed V in terms of position s only?(b) For the position as a function of time given in the problem, what is the relation between the speed of the particle V and time t?(c) Symbolically, what does the derivative of position with respect to time equal?
2 answers:
Answer:
See explanations for step by step procedures into getting answer.
Explanation:
Given that:
A fluid particle flowing along a stagnation streamline, as shown in Video V4.9 and Fig. P4.35, slows down as it approaches the stagnation point. Measurements of the dye flow in the video indicate that the location of a particle starting on the stagnation streamline a distance s = 0.8 ft upstream of the stagnation point at t = 0 is given approximately by s = 0.8e-0.61t where t is in seconds and s is in feet.(a) Factor the relation for the speed as a function of position out of the relation for speed as a function of time. What is the expression for speed V in terms of position s only
(b) For the position as a function of time given in the problem, what is the relation between the speed of the particle V and time t
(c) Symbolically, what does the derivative of position with respect to time equal.
See comolete solving at attachment
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Answer:
The lift coefficient is 0.3192 while that of the moment about the leading edge is-0.1306.
Explanation:
The Upper Surface Cp is given as
The Lower Surface Cp is given as
The difference of the Cp over the airfoil is given as
Now the Lift Coefficient is given as
Now the coefficient of moment about the leading edge is given as
So the lift coefficient is 0.3192 while that of the moment about the leading edge is-0.1306.
