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For steady forced convection in a straight conduit of circular cross section, consider steady fully-developed flow in which viscous dissipation...
For steady forced convection in a straight conduit of circular cross section, consider steady fully-developed flow in which viscous dissipation heating is important. The pipe wall, of infinitesimal thickness, is maintained at a constant temperature Tw , the thermal conductivity, density, specific heat, and dynamic viscosity are constant, and the conduit radius is Ro .
a) Find the temperature distribution as z → ∞
b) Nondimensionalize the problem using the scaling ξ = r Ro , η = z Ro ,
θ=k(T T)−(μV2 )w max
c) Nondimensionalize the problem using the scaling ξ = r R , η = zk (ρcV R2 ) ,
θ=k(T T)−(μV2 )
