is it possible to use Darcy Weisbach equ... - tlooto, The Most Powerful AcademicGPT

The intent of the question is to determine whether the Darcy-Weisbach equation can be effectively used to calculate pressure drops in a fractal tree-like tube-and-shell heat exchanger, given the complex branched geometry that deviates from classical single-pipe flow scenarios. --- Using Darcy-Weisbach Equation in Fractal Tree-like Heat Exchanger Geometries The Darcy-Weisbach equation $$ \Delta P = f \cdot \frac{L}{D} \cdot \frac{\rho v^2}{2} $$ is fundamentally derived for steady, incompressible, fully developed flow of Newtonian fluids in pipe segments with well-characterized geometry (diameter $ D $, length $ L $), flow conditions (velocity $ v $, density $ \rho $), and friction factor $ f $ dependent on Reynolds number and roughness. This makes it a pillar for pressure drop estimation in conventional pipe flows. --- Applicability to Fractal Tree-like Structures Fractal tree-like geometries found in some advanced heat exchanger designs feature hierarchical branching with nu