Heat Transfer in Channels and Tubes. Account of Dissipation

Heat Transfer in Channels and Tubes. Account of Dissipation 

Let us consider the problem of dissipative heating of a non-Newtonian fluid in a plane channel with isothermal walls on which the same constant temperature is 

Following [208, 276], we assume that the heat release does not affect the physical properties of the fluid (that is, viscosity, density, and thermal conductivity coefficient are temperature independent). In this case, the velocity profile can be found independently of the heat problem (see Section 6.4). 

In the general case, the equation for the temperature distribution in the region of heat stabilization can be obtained from the equation of heat transfer in Supplement 6 (where the convective terms are equal to zero and the temperature depends only on the transverse coordinate). This equation has the form 

Since the problem is symmetric about the midplane = h of the channel, it suffices to consider only the lower half 0 h of the region with the symmetry condition 

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