TY - JOUR
ID - 2752
TI - An Exact Analytical Solution for Convective Heat Transfer in Elliptical Pipes
JO - AUT Journal of Mechanical Engineering
JA - AJME
LA - en
SN - 2588-2945
AU - Shahmardan, M. M.
AU - Norouzi, M.
AU - Sedaghat, M. H.
AD - Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
Y1 - 2017
PY - 2017
VL - 1
IS - 2
SP - 131
EP - 138
KW - Convective Heat Transfer
KW - Exact Solution
KW - Elliptical Pipe
KW - Aspect Ratio
DO - 10.22060/mej.2017.12310.5311
N2 - In this paper, an analytical solution for convective heat transfer in straight pipes withthe elliptical cross section is presented. The solution is obtained for steady-state fluid flow and heattransfer under the constant heat flux at walls using the finite series expansion method. Here, the exactsolution of Nusselt number as well as temperature distribution in terms of aspect ratio is presented as thecorrelation in the Cartesian coordinate system and validated with the previous investigations. It is shownthat the minimum amount of Nusselt number, as well as the maximum absolute value of dimensionlesstemperature at the center of the cross section, are related to the aspect ratio equal to 1 (circular pipe). Thesolution indicated that the amount of Nusselt number is increased by changing the geometry of crosssection from circular to an elliptical shape and it finally tends to 4356/833 at large enough aspect ratios.Our results also show that 95% of the increase in Nusselt number to the circular cylinder is related toaspect ratio equal to 18.36. The present method of solution could be used to obtain the exact solution ofconvective heat transfer in elliptical pipes for other thermal boundary conditions and fluid rheologicalbehaviors.
UR - https://ajme.aut.ac.ir/article_2752.html
L1 - https://ajme.aut.ac.ir/article_2752_c6b926525682a13dc365340f595ce402.pdf
ER -