Review Problems 5 &6

# Review Problems 5 &6 - Problems 371 following fluids...

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Problems 371 following fluids when u'" = 1 m/s: atmospheric air, water, engine oil, and mercury. In each case the fluid temperature is 27°e: Conservation Equations and Solutions 6.11 Consider the control volume shown for the special case of steady-state conditions with v = 0, T = T(y), and p = const. ~ r+ OTdy oy p----;.- 0 ~ + op dx ~ Pox ~.~ (a) Prove that u = ti(y) if v = 0 everywhere. (b) Derive the x-momentum equation and simplify it as much as possible. (c) Derive the energy equation and simplify it as much as possible. 6.12 Consider a lightly loaded journal bearing using oil having the constant properties /k = 10- 2 kg/s· m and k = 0.15 W/m . K. If the journal and the bearing are each maintained at a temperature of 40°C, what is the maximum temperature in the oil when the journal is rotating at 10 my's? 6.13 Consider a lightly loaded journal bearing using oil having the constant properties p = 800 kg/m 3 , v = 10- 5 m 2 /s, and k = 0.13 W/m· K. The journal diameter is 75 mm; the clearanceis 0.25 mm; and the bearing operates at 3600 rpm. (a) Determine the temperature distribution in the oil film assuming that there is no heat transfer into the journal and that the bearing surface is maintained at 75°C. (b) What is the rate of heat transfer from the bearing, and how much power is needed to rotate the journal? 6.14 Consider two large (infinite) parallel plates, 5 mm apart. One plate is stationary, while the other plate is moving at a speed of 200 m/so Both plates are maintained at 27°C. Consider two cases, one for which the plates are separated by water and

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Review Problems 5 &6 - Problems 371 following fluids...

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