Heat And Thermodynamics by Hilary D. Brewster

By Hilary D. Brewster

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The treatment closely follows that in Eckert and Drake. Very near the wall, the fluid motion is smooth and laminar, and molecular conduction and shear are important. The shear stress, 't, at a plane is given by de ~= ='t (where ~ is the dynamic viscosity), and the heat flux dY l,y q = -k ~~ . The latter is the same expression that was used for a solid. The boundary layer is a region in which the velocity is lower than the free stream. In a turbulent boundary layer, the dominant mechanisms of shear stress and heat transfer change in nature as one moves away from the wall.

The behaviour of a surface with radiation incident upon it can be described by the following quantities: • a = absorptance - fraction of incident radiation absorbed • p = reflectance - fraction of incident radiation reflected • t = transmittance - fraction of incident radiation transmitted. Figure shows these processes graphically. 04-. Radiation transmitted, 't Radiation reflected. P _VVOil\#--1 Fig. Radiation Surface Properties From energy considerations the three coefficients must sum to unity a+p+t=l.

TwoIl Fig. Effect of Radiation Heat Transfer on Measured Temperature 53 Heat Transfer We use a heat (energy) balance on the control surface. The heat balance states that heat convected away is equal to heat radiated into the thermocouple in steady state. ) The heat balance is hA(~c - ~ir ) = sA(T~all - ~~), where A is the area of the thermocouple. 67 x 10-8 W/m2K4) ((373 K)4_ ~~) from which we find ~c = 51°C = 324 K. The thermocouple thus sees a higher temperature than the air. We could reduc~ this error by shielding the thermocouple.

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