If there was a small sphere freely suspended in plane poiseuille flow, how would you go about using linearity to prove that the
1 answer:
Answer Explanation :
Poiseuille equation: this equation is used for non ideal flow this is used for the calculation of pressure in laminar flow it is physical law we know that fluid in laminar flow, flows across the pipe whose diameter is larger than the length of pipe
in mathematical form the equation can be expressed as
Q =
where η is the cofficient of viscosity
now if we assume a small sphere of radius a is suspended freely in the plane of the laminar flow then for assuring that the sphere does not migrate with the flow we have to calculate the rate of flow of the liquid
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Answer:
The value
Explanation:
From the question we are told that
The weight of the sky diver is
The magnitude of the drag force is
The mass of the sky diver is
Generally the net force acting on the sky diver is mathematically represented as
Hence the acceleration of the sky diver is mathematically represented as
=>
=>
Explanation:
Given that,
Initial velocity, u = 11.3 m/s
Angle above the horizontal,
Time of flight :
Horizontal distance traveled is given by :
x = ut
x = 11.3 m/s × 1.32 s
x = 14.916 m
Maximum height is given by :
Hence, time of flight is 1.32 s, horizontal distance is 14.916 m and maximum height is 2.14 m.