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A estimate the surface temperature of the fourth device

One hundred electrical components, each dissipating 25 W, are attached to one surface of a square (0.2 m X 0.2 m) copper plate, and all the dissipated energy is transferred to water in parallel flow over the opposite surface. A protuberance at the leading edge of the plate acts to *trip *the boundary layer, and the plate itself may be assumed to be isothermal. The water velocity and temperature are *u*oo = 2 m/s and *T*oo = 17°C, and the water's thermophysical properties may be approximated as *v** *= 0.96 X 10-6 m2/s, *k *= 0.620 W/m · K, and *Pr *= 5.2.

(a) Estimate the surface temperature of the fourth device located 15 mm from the leading edge of the board.

(b) Generate a plot of the surface temperature of the first four devices as a function of the free stream velocity for 5 *u*oo 15 m/s.

(c) What is the minimum free stream velocity if the surface temperature of the hottest device is not to exceed 80°C?

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## Q : The shear modulus of the shaft material is 80 gpa calculate

a solid shaft transmits 16 mw at a speed of 75 rpm the shaft length is 6 m and its diameter is 300 mm the shear modulus