Abstract
In this paper, 2-D numerical investigation and sensitivity analysis are performed on heat transfer rate and heat exchanger effectiveness of a double pipe heat exchanger filled with porous medium. The Darcy–Brinkman–Forchheimer model is applied to model the flow field in the porous zone. The sensitivity analysis is performed utilizing the Response Surface Methodology. The studied parameters are: Reynolds number (50 ≤ Re ≤ 250), Darcy number (10−5 ≤ Da ≤ 10−3), temperature difference between hot and cold fluids (30 ≤ ΔT ≤ 70) and the porous substrate thickness (1/3 ≤ δ ≤ 1). The obtained results showed that enhancement of the Nusselt number due to the increase in Reynolds and Darcy numbers is in the vicinity of the 77.84% for the case with δ = 2/3 and Da = 10−5 to 10−3, and 203.25% for the case with δ = 1 and Re = 50 to 250. Furthermore, increasing porous substrate thickness reduces the mean Nusselt number until δ = 2/3 and then increases it. In addition, it is found that the heat exchanger effectiveness increases with the Re number and reduces with enhancement of the Da number. The sensitivity analysis showed that the sensitivity of the mean Nusselt number to the Re and Da numbers and the porous substrate thickness is positive, while the sensitivity of the heat exchanger effectiveness to the Re number is positive but to the Da number is negative.
Analysis is reported for Response Surface Methodology (RSM) and the Darcy–Brinkman–Forchheimer model along with sensitivity analysis of heat transfer and heat exchanger effectiveness in a double pipe heat exchanger filled with porous medium. [Display omitted]
•A new model is proposed for sensitivity analysis of heat transfer and heat exchanger effectiveness.•The effects of porous media in a double pipe heat exchanger filled with porous media are investigated.•The Response Surface Methodology (RSM) is used for analyzing.•The physical interpretations of pertinent obtained results are illustrated by graphs and tables.