Excercises Formulas Flashcards

1
Q

What is the formula for AR?

A

AR = (b^2)/s_{ref}

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1
Q

What is the formula for the taper ratio lambda?

A

Lambda = c_t / c_r

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2
Q

What is the formula for y+

A

y+ = (y_p * \rho * u_tau) / (\micro)

where u_tau is the friction velocity with the formula

u_tau = \sqrt((tau_w)/(\rho))

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3
Q

What are residuals?

A

The difference between left and right hand side of the equation

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4
Q

What is the formula for dissipation rate?

A

E = v (u/n)^2

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5
Q

What is the formula for smallest eddy length?

A

n = ((v^3)/E)^(1/4)

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6
Q

What is the formula velocity of smallest eddy?

A

u_n = (Ev)^1/4

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7
Q

What is the timescale for smallest eddy?

A

tau_n = (v/E)^(1/2)

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8
Q

What is the formula for Reynolds Number?

A

Re = rho U {l/micro}

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9
Q

What is the formula for Skin friction coefficient?

A

c_f = (2log_10(Re) - 0.65)^{-2.3}

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10
Q

What is the formula for Wall sheer stress?

A

tau_w = 1/2 rho U^2 c_f

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11
Q

What is the formula for Friction velocity?

A

u_tau = sqrt(tau_w / rho)

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12
Q

What is the formula for y_p?

A

y_p = (y+ micro)/(rho u_tau)

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13
Q

What is the formula for first layer height?

A

y_h = 2y_p

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14
Q

What is the formula for delta_99?

A

delta_99 = y_T = y_H (1-r^N)/(1-r)

r = 1.18

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15
Q

What is the formula for standard mean cord?

A

2/3 * c_root * (1 + labda + lambda^2) / (1+ lambda)

lambda = taper ratio

16
Q
A