Abstract
This paper presents a theoretical treatment of laminar flow heat transfer in circular tubes for a temperature-dependent non-Newtonian fluid for which the relationship between the shear stress, τ, and the shear rate, ⋗g, can be described by an equation of the form τ=τ y + K(T)⋗g n where τ y is a yield stress, n is a constant and K( T) is a function of temperature. This model can therefore cater for both power-law and Bingham plastic behaviour. The two boundary conditions of constant wall temperature and constant wall heat flux are considered for both heating and cooling situations. The computed results are presented by plotting a Nusselt number as a function of the Graetz number with dimensionless groups specifying the temperature dependence effect, the rheological properties and the wall conditions as parameters. This method of presentation is convenient for engineering design purposes. Temperature profiles, velocity profiles and the pressure drop can also be determined.
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