Problem 3 Consider steady lubricant flow in a narrow gap, H, between the immovable cylinder and the high-speed rotating shaft. The gap is so small compared to the radius of the shaft that this problem can be approximated as flow between parallel plates per the schematic below. The shaft and the cylinder surface temperatures are kept at T, and T., respectively (T>T). Considering viscous dissipation as a heat source find the temperature distribution and the heat transfer across the gap. The fluid properties are: Dynamic viscosity, u, density, p, thermal conductivity k, specific heat Cp. y lubricant X H T U