Thermodynamics HW Solutions 524

Thermodynamics HW Solutions 524 - Chapter 6 Fundamentals of...

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Unformatted text preview: Chapter 6 Fundamentals of Convection 6-40 The oil in a journal bearing is considered. The velocity and temperature distributions, the maximum temperature, the rate of heat transfer, and the mechanical power wasted in oil are to be determined. Assumptions 1 Steady operating conditions exist. 2 Oil is an incompressible substance with constant properties. 3 Body forces such as gravity are negligible. Properties The properties of oil at 50 ° C are given to be k = 0.17 W/m-K and μ = 0.05 N-s/m 2 Analysis ( a ) Oil flow in journal bearing can be approximated as parallel flow between two large plates with one plate moving and the other stationary. We take the x-axis to be the flow direction, and y to be the normal direction. This is parallel flow between two plates, and thus v = 0. Then the continuity equation reduces to Continuity : = ∂ ∂ + ∂ ∂ y v x u ⎯→ = ∂ ∂ x u ⎯→ u = u ( y ) Therefore, the x- component of velocity does not change in the flow direction (i.e., the velocity profile remains in the flow direction (i....
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This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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