Fluid Mechanics, Drag Coefficient of a Cylinder

In summary, the task is to calculate the pressure drag coefficient for a cylinder using the trapezoidal and Simpson's rule. The given data includes angles (in degrees) and corresponding values of Cp. The homework equations provide the formula for Cdp. To apply the rules, the angles must be converted to radians and there are 6 intervals. The first and last values of the function (y) are 1 and -1.288 for both trapezoidal and Simpson's rule. Resources such as PatrickJMT's website can be used for further clarification on how to apply these rules.
  • #1
FChebli
17
0

Homework Statement



Calculate the pressure drag cofficient for a cylinder using the trapezoidal and simpson's rule (assume the flow is the same on both sides of the cylinder).

Angle (deg) Cp
0 1
30 0.274
60 -1.565
90 -1.3
120 -1.288
150 -1.288
180 -1.288


Homework Equations



Cdp = 0.5 ∫ Cp cos∅ d∅


The Attempt at a Solution



How do we apply the given data in trapezoidal & simpson's rules?
Which number represents the first value of the function (y)?
 
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  • #2
I would change degree to radians. Looks like there a n=6 intervals

f(X0)=1 and f(X6)= -1.288 for both trapezoidal and Simpson's rule

Google if you don't know how to apply these rules. I like patrickJMT website for explanations.
 

What is fluid mechanics?

Fluid mechanics is the branch of physics that studies the behavior of fluids, including liquids and gases, and the forces that act on them.

What is the drag coefficient of a cylinder?

The drag coefficient of a cylinder is a dimensionless quantity that represents the ratio of the drag force exerted on the cylinder to the product of the fluid density, the fluid velocity, and the cylinder's characteristic length. It is a measure of how aerodynamic the cylinder is.

How is the drag coefficient of a cylinder calculated?

The drag coefficient of a cylinder can be calculated using the formula Cd = Fd / (1/2 * rho * V^2 * A), where Cd is the drag coefficient, Fd is the drag force, rho is the fluid density, V is the fluid velocity, and A is the cylinder's cross-sectional area.

What factors affect the drag coefficient of a cylinder?

The drag coefficient of a cylinder is affected by several factors, including the shape and size of the cylinder, the fluid density, the fluid velocity, and the surface roughness of the cylinder.

Why is the drag coefficient of a cylinder important?

The drag coefficient of a cylinder is important because it determines the amount of drag force that is exerted on the cylinder by the fluid. This is crucial in various engineering applications, such as designing efficient aerodynamic structures and predicting the performance of vehicles in fluid environments.

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