Natural Convection Heat Transfer from an Inclined Cylinder

TL;DR

This paper introduces a new formula for predicting natural convection heat transfer from inclined cylinders, validated with extensive experimental data and showing high accuracy across various conditions.

Contribution

It derives a comprehensive mathematical formula for inclined cylinder heat transfer based on the Jaffer heat engine analysis, validated with multiple experimental data sets.

Findings

Root-mean-squared relative error between 1.9% and 4.7%.

Validated formula across nine data sets with diverse parameters.

Applicable for various cylinder geometries and fluid properties.

Abstract

Based on the Jaffer (2023) heat engine analysis of natural convection, this investigation mathematically derives a novel, comprehensive formula predicting the natural convective heat transfer from an inclined cylinder given its length, diameter, angle, Rayleigh number, and the fluid's Prandtl number and thermal conductivity. The present formula was tested with 93 inclined cylinder measurements having length-to-diameter ratios between 1.48 and 104 in nine data-sets from three peer-reviewed studies, yielding (data-set) root-mean-squared relative error values between 1.9% and 4.7%.