Reconsider the flow field illustrated in Figure P6.2. Suppose that the free surface of the fluid is maintained at constant temperature T 0 and the surface at x = δ is maintained at a higher constant...


Reconsider the flow field illustrated in Figure P6.2. Suppose that the free surface of the fluid is maintained at constant temperature T0
and the surface at x = δ is maintained at a higher constant temperature Tδ. (The velocity profile will be different from that previously described for a constant temperature film but that change is not relevant for this problem.) In this case the Eulerian temperature field is given by:


The corresponding viscosity field is given by


where µ0
is the fluid viscosity at x = 0 and µL
is the fluid viscosity at x = δ.


(a) Determine the locations of the minimum and maximum temperature in this flow.


(b) Determine the locations of the minimum and maximum viscosity in this flow.


(c) Compare and discuss the shapes of the temperature and viscosity profiles.


(d) Calculate the diffusive heat flux per unit area of the solid surface.



Dec 11, 2021
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