dc.description.abstract | In this paper a two-phase convergent Jeffrey-Hamel flow in a geothermal pipe concentrated with silica particles and
thermophoresis has been studied. The governing equations are equation of mass, momentum, heat transfer and concentration. These equations are transformed into nonlinear ordinary differential equations by introducing a similarity
transformation. The resulting equations are then solved using the bvp4c collocation method. Results for velocity, temperature and concentration are presented for various parametric conditions. It is established that the unsteadiness
parameter significantly influences the velocity, temperature and concentration in both the gaseous and the liquid
phase, secondly the Reynolds’number effect in the gaseous phase velocity is more significant incomparison to the liquid phase, thirdly the variation in heat transfer as a result of the Prandtl number is more significant in comparison to
the liquid phase, fourthly there is a significant effect of the control factor introduced in the concentration equation to
counter silica polymerization . In conclusion, the gaseous and the liquid phase have to be accounted separately. Further, the control mechanisms used for preventing silica deposition need to be factored in the concentration equations
with their ranking specification so as to monitor the growth of silica deposits. | en_US |