Numerical Investigation of Turbulent Convective Heat Transfer of Distilled Water Flowing in Corrugated Converging Pipes
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Date
2026-03-17
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Ajayi Crowther Journal of Pure and Applied Sciences
Abstract
This study examined the turbulent heat transfer performance, the Poiseuille number, and the performance evaluation criterion (PEC) of distilled water flowing in corrugated converging pipes. It systematically investigated the effects of the amplitude of the corrugation (0.02 ≤ 𝑒⁄𝐷 ≤ 0.03) and the Reynolds number (0.5 × 104 ≤ 𝑅𝑒 ≤ 4.0 × 104) on both thermal and flow fields. The governing equations and boundary conditions were numerically
solved using the Shear Stress Transport (SST) turbulence model. The results indicated that as the corrugation amplitude increased, the average Nusselt number (𝑁𝑢), the normalised average Nusselt number (𝑁𝑢𝐺), the Poiseuille number (𝑓𝑅𝑒), the normalised Poiseuille number (𝑓𝑅𝑒𝐺), and PEC increased. At 𝑅𝑒 = 4.0 × 104, 𝐷𝑅 = 1.2, 𝑤 𝐷 = 0.2 and 𝑒 𝐷 = (0.02, 0.025 & 0.03), the average Nusselt numbers were 348.48, 360.69 and 368.78, respectively. The corresponding 𝑓𝑅𝑒 values were 4407.89, 4502.67, and 4571.15, respectively. The 𝑁𝑢𝐺 values at 𝑅𝑒 = 1.5 × 104 for 𝑒⁄𝐷 = 0.02, 0.025 & 0.03 were 1.36, 1.46 and 1.52, respectively. The 𝑓𝑅𝑒𝐺 values at 𝑅𝑒 = 3.0 × 104 for 𝑒⁄𝐷 (0.02, 0.025, and 0.03) were 3.16, 3.22 and 3.27, respectively. The corrugated converging pipe enhanced 𝑁𝑢 compared with a smooth pipe for all the pipe configurations considered, as revealed by 𝑁𝑢𝐺 > 1.
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Keywords
Poiseuille number, Nusselt number, Enhancement, Boundary equations, Corrugation amplitude