Effect of wave shift of porous slab on thermo-hydraulic transport characteristics of laminar flow through a wavy channel

Abstract

In the present numerical study, the finite element method is adopted to investigate the thermo-hydraulic transport characteristics of two-dimensional, steady, Laminar flow of Newtonian fluid through partially porous wavy channel. The wavy channel consists a porous wavy slab at the center. Water is taken as working fluid with Prandtl number Pr = 6.93 and Reynolds number Re = 700 considered for all simulations. Results are investigated in the form of average Nusselt number (Nuavg), Enhancement ratio (ER), Pressure drop (Δp), Pressure ratio (PR), and Performance factor (PF) for different wave amplitudes (α=0.06, 0.12, and 0.18) and wave phase shifts (φ = 00, 45°, 90° and 180°) of porous slab at different Darcy numbers range (Da = 10-6 to 10-2). Results reveal a significant increment in average Nusselt number with decreasing in Darcy number on the pressure drop penalty. The maximum value of ER found for geometry configuration α = 0.18 and φ = 900 at Darcy number Da = 10-6, and on the other end, maximum PF is obtained at Darcy number Da = 10-2 irrespective of geometry configurations. The lower value of ER was obtained at φ = 1800 irrespective of wave amplitude and Darcy number. There is a significantly less effect of porous slab wave phase shift of φ = 450 and φ = 900 for given Da on PR at fixed wave amplitude.