Application issues of the streamline, heatline and massline for conjugate heat and mass transfer
The paper deals with numerical issues related to the concepts of streamline, heatline and massline as tools for the visualization of fluid flow. The article contains 7 sections and is well written, providing many usefuls details and a good overview on the subject and recent advances in this field (section 1, \textit{Introduction}). Section 2 (\textit{Unification of streamfunction, heatfunction and massfunction}) introduces the general PDE in conservative form which covers all relevant differential equations for fluid flow, heat and mass transfer and related phenomena by assigning specific meanings to the transported variable \(\phi\). In sections 3-5 (\textit{Numerical solution for flow field and \(\phi\) field}, \textit{Numerical solution of function \(\Phi\) fields}, \textit{Other issues on the streamfunction, heatfunction and massfunction}), the formerly introduced general PDE is discretized by the finite volume method, numerical solutions are obtained by applying a pressure-velocity correction scheme on a staggered grid. Algorithmic details concerning the treatment of (abrupt changes in) diffusion coefficients at e.g. interfaces between solid and fluid regions or the determination of values at boundary intersections or corners are given. Section 6 (\textit{Applications and Discussion}) illustrates the afore-described methods by visualizing fluid, heat and solute transportations of double diffusive natural convection in square enclosures with massive walls or center-inserted bodies.
scientific article; zbMATH DE number 5117796