Alternative text: Aerospace Engineering Blog
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: C_L
Alternative text: C_{L_\alpha} = 0.095/^\circ
Alternative text: -8^\circ
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: 1^\circ
Alternative text: 0^\circ
Alternative text: C_{L,upper} = C_{L_\alpha} \left( \frac{AR}{AR+2} \right) \left( \alpha - \alpha_{0L} \right) = 0.095 \left( \frac{5.14}{5.14+2} \right) \left( 0-(-8)\right) = 0.55
Alternative text: C_{L,lower} = C_{L_\alpha} \left( \frac{AR}{AR+2} \right) \left( \alpha - \alpha_{0L} \right) = 0.095 \left( \frac{5.67}{5.67+2} \right) \left( 1-(-8)\right) = 0.63
Alternative text: L_{upper} = qS_{upper}C_{L,upper} = (0.277\ psi)(20,418.3\ in^2)(0.55) = 3,110.73\ lb
Alternative text: L_{lower} = qS_{lower}C_{L,lower} = (0.277\ psi)(12,630.72\ in^2)(0.63) = 2,204.19\ lb
Alternative text: S
Alternative text: q = 1/2 \rho V^2
Alternative text: \rho
Alternative text: V
Alternative text: F_{tail}
Alternative text: x
Alternative text: F_{tail} = \frac{L_{lower} x_{lower} - L_{upper} x_{upper}}{x_{tail}} = \frac{3110.73 \times 11.60 - 2239.17 \times 10.41}{190.12} = 79.40\ lb
Alternative text: 3,110.73+2,204.19+79.40 = 5,394.32
Alternative text: L_{upper} = 2,894.41
Alternative text: L_{lower} = 2,078.78
Alternative text: F_{tail} = 62.81
Alternative text: \Delta C_{L,upper}
Alternative text: \Delta C_{L,lower}
Alternative text: \Delta C_{L}
Alternative text: C_{L}
Alternative text: \Delta C_{L,upper} = K_1 + K_2 C_L
Alternative text: K_1
Alternative text: K_2
Alternative text: \Delta C_{L,lower} = -\Delta C_{L,upper} \frac{S_{upper}}{S_{lower}}
Alternative text: K_1
Alternative text: K_2
Alternative text: K_1 = -0.090
Alternative text: K_2 = 0.195
Alternative text: C_L = \frac{nW}{0.5 \rho V^2 S} = \frac{nW}{qS} = \frac{4 \times 1259}{0.277 \times 33049} = 0.55
Alternative text: K_1
Alternative text: K_2
Alternative text: C_L
Alternative text: \Delta C_{L,upper}
Alternative text: \Delta C_{L,lower}
Alternative text: \Delta C_{L,upper} = 0.015
Alternative text: \Delta C_{L,lower} = -0.025
Alternative text: C_{L,upper} = C_L + \Delta C_{L,upper}
Alternative text: C_{L,lower} = C_L + \Delta C_{L,lower}
Alternative text: L_{upper} = 3,139.88
Alternative text: L_{lower} = 1,803.24
Alternative text: F_{tail} = 92.87
Alternative text: Not defined!
Alternative text: L_{upper} = 3223.21
Alternative text: L_{lower} = 1,697.10
Alternative text: F_{tail} = 122.75
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: \dot{m}
Alternative text: U_a
Alternative text: U_j
Alternative text: \text{Thrust} = F=\dot{m}(U_j-U_a)
Alternative text: U_a
Alternative text: N_p
Alternative text: U_a
Alternative text: P=F U_a = \dot{m} U_a (U_j - U_a)
Alternative text: \Delta KE = 0.5 \dot{m} (U_j^2 - U_a^2)
Alternative text: N_p = \frac{\dot{m} U_a (U_j-U_a)}{0.5\dot{m} (U_j^2 - U_a^2)} = \frac{2Ua}{Ua + Uj}
Alternative text: U_a
Alternative text: U_j
Alternative text: U_j
Alternative text: \dot{m}
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: \frac{1773}{973} \times \frac{40\%}{2} = 36\%
Alternative text: Not defined!
Alternative text: \cos 45^\circ = 0.71
Alternative text: V \cos \psi
Alternative text: V
Alternative text: Not defined!
Alternative text: Airflow forward and backward swept aircraft
Alternative text: X-29 at High Angle of Attack with Smoke Generators
Alternative text: Not defined!
Alternative text: [+\theta,-\theta]
Alternative text: [-\theta,+\theta]
Alternative text: +\theta
Alternative text: -\theta
Alternative text: +\theta
Alternative text: -\theta
Alternative text: +\theta
Alternative text: Not defined!
Alternative text: \sigma
Alternative text: \sigma = \frac{P}{A}
Alternative text: P
Alternative text: A = \pi d^2 / 4
Alternative text: d
Alternative text: \epsilon
Alternative text: \epsilon = \frac{\Delta L}{L}
Alternative text: \Delta L
Alternative text: L
Alternative text: E = \frac{\sigma}{\epsilon}
Alternative text: E
Alternative text: \text{Strain Energy per unit volume} = \frac{1}{2} \sigma \times \epsilon
Alternative text: d
Alternative text: \sigma
Alternative text: \epsilon
Alternative text: \text{Strain Energy per unit area} = \frac{1}{2} \sigma \times \epsilon \times d
Alternative text: \epsilon = \frac{\sigma}{E}
Alternative text: \epsilon
Alternative text: \text{Strain Energy per unit area} = \frac{d\sigma^2}{2E}
Alternative text: G
Alternative text: 2G
Alternative text: \frac{d\sigma^2}{2E} = 2G \Rightarrow \sigma = 2 \sqrt{\frac{G E}{d}}
Alternative text: \sigma = \sqrt{\frac{G E}{d}}
Alternative text: E
Alternative text: G
Alternative text: G \approx \frac{Ed}{20}
Alternative text: \sigma \approx \sqrt{\frac{E^2}{20}} \approx \frac{E}{5}
Alternative text: \epsilon = \frac{\sigma}{E} \approx \frac{1}{5}
Alternative text: E
Alternative text: d = 3
Alternative text: 1/100
Alternative text: \mu
Alternative text: Variation of tensile strength with fibre diameter. From W.H. Otto (1955). Relationship of Tensile Strength of Glass Fibers to Diameter. Journal of the American Ceramic Society 38(3): 122-124. DOI: 10.1111/j.1151-2916.1955.tb14588.x.
Alternative text: Stress concentration at a notch
Alternative text: a
Alternative text: R
Alternative text: 1 + 2 \sqrt{\frac{a}{R}}
Alternative text: \mu
Alternative text: 1 + 2 \sqrt{\frac{1 \times 10^{-6}}{1 \times 10^{-10}}} = 201
Alternative text: Orville Wright&flyer1909
Alternative text: Not defined!
Alternative text: Ray Flying Legends 2005-1
Alternative text: Bell X-1 46-062 (in flight)
Alternative text: North American X-15
Alternative text: Shuttle profiles
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: Aircraft Glider Vampyr
Alternative text: Von Karman and JATO Team - GPN-2000-001652 (cropped)
Alternative text: Boundary layer separation over cylinder
Alternative text: Re = \frac{\rho V d}{\mu}
Alternative text: \rho
Alternative text: V
Alternative text: d
Alternative text: \mu
Alternative text: \rho V d
Alternative text: \mu
Alternative text: Flow around a cylinder for different Reynolds numbers
Alternative text: V
Alternative text: Vortex-street-animation
Alternative text: Velocity profile of laminar versus turbulent boundary layer
Alternative text: \tau_w = \mu \frac{\mathrm{d}u}{\mathrm{d}y}_w
Alternative text: \mathrm{d}u/\mathrm{d}y
Alternative text: Boundary layer separation over cylinder
Alternative text: C_D
Alternative text: C_D = \frac{D}{1/2 \rho U_0^2A}
Alternative text: D
Alternative text: \rho
Alternative text: U_0
Alternative text: A
Alternative text: A
Alternative text: A
Alternative text: A
Alternative text: 1/2 \rho U_0^2
Alternative text: A
Alternative text: C_D
Alternative text: Not defined!
Alternative text: R = \frac{\rho U_0 d}{\mu}
Alternative text: U_0
Alternative text: d
Alternative text: R = 10^5
Alternative text: R = 10^7
Alternative text: R = 10^5
Alternative text: R = 10^7
Alternative text: C_D U_0^2
Alternative text: U_0
Alternative text: d
Alternative text: Not defined!
Alternative text: Not defined!
Alternative text: F_B
Alternative text: F_B = \frac{\pi}{6} d^3 \left( \rho_l-\rho_g \right)g
Alternative text: d
Alternative text: \rho_g
Alternative text: \rho_l
Alternative text: g
Alternative text: 9.81 m/s^2
Alternative text: \frac{\pi}{6} d^3
Alternative text: D
Alternative text: D = 1/2 C_D \rho_l U_T^2 \left( \frac{\pi}{4} d^2\right)
Alternative text: U_T
Alternative text: A
Alternative text: \frac{\pi}{4} d^2
Alternative text: D
Alternative text: F_B
Alternative text: \frac{\pi}{6} d^3 \left( \rho_l-\rho_g \right)g = 1/2 C_D \rho_l U_T^2 \left( \frac{\pi}{4} d^2\right)
Alternative text: U_T^2 = \frac{4d\left(\rho_l-\rho_g\right)g}{3C_D\rho_l}
Alternative text: 10^3-10^5
Alternative text: Drag coefficient of a sphere as a function of Reynolds number
Alternative text: 1.2 kg/m^3
Alternative text: 989 kg/m^3
Alternative text: U_T^2 = \frac{4 \times 0.003 \times \left(989-1.2\right) \times 9.81}{3 \times 0.5 \times 989} = 0.0790 \ m^s/s^2
Alternative text: U_T = 0.281 \ m/s = 28.1 \ cm/s \left( 11 \ inches/s \right)
Alternative text: \mu = 0.001 Ns/m^2
Alternative text: R = \frac{\rho_l U_T d}{\mu} = \frac{989 \times 0.281 \times 0.003}{0.001} = 833
Alternative text: 10^3-10^5
Alternative text: Not defined!
Alternative text: Velocity profile of laminar versus turbulent boundary layer
Alternative text: Boundary layer separation over cylinder
Alternative text: Boundary layer separation over the top surface of a wing
Alternative text: Not defined!
Alternative text: L = \frac{1}{2}C_L \rho V^2 S
Alternative text: \rho
Alternative text: V
Alternative text: S
Alternative text: C_L
Alternative text: C_{Lmax}
Alternative text: 16^\circ
Alternative text: \approx 2^\circ
Alternative text: V
Alternative text: \approx 15^\circ
Alternative text: Not defined!
Alternative text: Platform by PageLines
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