In this work a new developed dimensionless finite difference technique for 2-D transient heat conduction is developed and presented. The technique is then applied to predict the time development of temperature profiles in a convectively cooled rectangular fin. In addition, a corrected analytical form that reduces the 2-D problem to a 1-D one is developed. Results prove that the numerical technique is simple and fast, while the 1-D reduced analytical solution is valid only for early time, small Biot number, and thin fins.
Mahgoub, M. (2021). Analysis of Transient Heat Conduction in a 2-D Rectangular Fin.. MEJ- Mansoura Engineering Journal, 16(2), 91-100. doi: 10.21608/bfemu.2021.188184
MLA
Mohamed Mahmoud Ahmed Mahgoub. "Analysis of Transient Heat Conduction in a 2-D Rectangular Fin.". MEJ- Mansoura Engineering Journal, 16, 2, 2021, 91-100. doi: 10.21608/bfemu.2021.188184
HARVARD
Mahgoub, M. (2021). 'Analysis of Transient Heat Conduction in a 2-D Rectangular Fin.', MEJ- Mansoura Engineering Journal, 16(2), pp. 91-100. doi: 10.21608/bfemu.2021.188184
VANCOUVER
Mahgoub, M. Analysis of Transient Heat Conduction in a 2-D Rectangular Fin.. MEJ- Mansoura Engineering Journal, 2021; 16(2): 91-100. doi: 10.21608/bfemu.2021.188184
)
View on SCiNiTO