Integrated approach to solving the fluid dynamics and heat transfer problems

Abstract

Considered is an alternative, in relation to the widely used “differential” one, “integrated” approach to solving the dynamics problems. Instead of simplifying the differential and thus complicated mathematical model to the level of a possible solution, we propose the studied process description using general integral (the most simple) balance relations of conservation laws with further detailed exposition (complication) to the required accuracy level of the resulting solutions. The approach possibilities are illustrated: with the example of solving the problem of determining the liquid fluctuation natural frequency when a free surface in tanks of various forms placed with heating different orientations in the field of mass forces; and with the example of solving the problem of various shapes’ bodies (infinite plate, infinite cylinder, sphere).

Keywords

• integrated approach
• fluid dynamics
• dependent problems of heating bodies
• similarity criteria
• similarity factors