This thesis explores fluid flow and heat transfer in in-line and staggered tube banks. A potential flow solution is derived, using complex function theory, in the form of a power series. Results are presented for a range of geometric configurations. The equations governing the transport of mass, momentum, and general scalar properties are derived in general-curvilinear co-ordinates. Both the mathematical and physical forms are given. A finite-volume discretization procedure is detailed:​ The finite-volume-based numerical scheme is then used to examine laminar steady flow and heat transfer in twodimensional tube banks, and in three-dimensional fin and tube heat exchangers, and offset fin heat exchangers. Fully-developed cross flow was assumed throughout. Both constant wall temperature and constant heat flux boundary conditions were considered. Structured orthogonal and non-orthogonal body-fitted grids were used;​ these being generated by means of the numerical solution of elliptic partial differential equations. Transient two-dimensional flow in in-line and staggered tube banks was also considered, it being shown that tube banks exhibit periodic behaviour qualitatively similar to those observed in single cylinders.

Numerous parametric studies were conducted. The results are presented in the form of overall and local pressure drop, heat transfer and skin friction data, as well as tables and graphs of flow visualisation studies. These are compared with existing experimental and numerical data.