A lubrication oil (very viscous fluid) of constant viscosity and constant thermal conductivity k fill the very thin clearance L between a journal and its bearing, which can be modeled as two parallel flat plates [one moving (bearing) and other stationary (journal)] for the purpose of analysis. The velocity of rotating surface is U, and the journal and the bearing are both maintained at the same temperature T0. Suppose that the flow is fully developed both hydrodynamically and thermally, with negligible body force and the problem is at steady state with zero pressure gradient in every direction. a) Write the velocity components that are zero. What about the terms xu and zu ? b) Reduce the general momentum equations below to the specific conditions in the problem. c) Find the velocity of lubrication oil. d) Reduce the general viscous dissipation function below to the specific conditions in the problem. e) Reduce the general energy equation below to the specific conditions in the problem. f) Find the temperature distribution of oil. g) Find the position of maximum temperature of the oil and its amount. Continuity equation xu+yv+zw=0 x (flow direction) momentum equation (tu+uxu+vyu+wzu)=gxxP+(x22u+y22u+z22u) y momentum equation (tv+uxv+vyv+wzv)=gyyP+(x22v+y22v+z22v) z momentum equation (tw+uxw+vyw+wzw)=gzzPRectangularCoordinates(IncompressicDtDT=(kVT)+q+DtD=t+ux+vy+wz(kT)=x(kxT)+y(kyT)+z(kzT)=2[(xu)2+(yv)2+(zw)2+21(xv+yu)2+21(yw+zv)2+21(zu+xw)2]