A small aircraft flies with a constant speed of 100 m/s at an altitude of 10000

Question

A small aircraft flies with a constant speed of 100 m/s at an altitude of 10000 m where the outside air is at -23 degree C and has properties rho = 0.4587 kg/m3, k = 0.022 W/m.K, Pr = 0.72, v = 16.3 times 10-6 m2/s. In order to prevent ice formation on the wings, electric resistance heating elements are installed within the wings. It the characteristic length of a wing is 2 m, and wind tunnel measurements indicate an average friction shear stress of 5.73 Pa on the wing surface, what is the average heat flux needed to maintain a surface temperature of 5 degree C on a wing?

Explanation / Answer

i used different numbers The pilot of an airplane flies at a constant speed of 200 km/h at a bearing of S 40° E. There is a 42 km/h crosswind blowing E 20° N. What are the plane’s actual speed and direction? Please show all appropriate steps and diagrams. ------------------------ Plane DATA: x vector = 200*cos(270+40) = 128.56 y vector = 200*sin(270+40) = -153.21 ------------------------------------ Wind DATA: x vector = 42*cos(20) = 39.47 y vector = 42*sin(20) = 14.37 -------------------------------------- Conbining corresonding vectors: x vector 128.56+39.47 = 168.03 y vector -153.21+14.37 = -138.84 ------ distance = sqrt(168.03^2 + 138.84^2) = 217.97 km angle = arctan(-138.84/168.03) = -39.57 degrees

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