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Abstract
Significances of Bioengineering & Biosciences
Impact of Space-Dependent Thermal Conductivity on Heat Transfer in a Vertical Annulus with Asymmetric Surface Heating
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Open or CloseMichael O Oni1*, Taiwo S Yusuf1, Olaife H Adebayo1 and Luqman A Azeez2
1Department of Mathematics, Ahmadu Bello University, Nigeria
2Federal College of Education, Nigeria
*Corresponding author: Michael O Oni, Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
Submission: September 10, 2020;Published: October 22, 2020
ISSN 2637-8078Volume 4 Issue 1
Abstract
This technical brief investigates the impact of space dependent thermal conductivity on temperature
distributions and rate of heat transfer of some fluids in a porous annulus. The heat transport equation
is derived with a linear thermal conductivity model. Exact solution of the energy equation is obtained
after using suitable dimensionless parameters. Results indicate that increase in coefficient of thermal
conductivity leads to a corresponding increase in fluid temperature as well as Nusselt number. In addition,
fluids with higher Prandtl number are found to be a good insulators.
Keywords: Space-dependent; Thermal conductivity; Vertical annulus; Asymmetric heating; Prandtl number; Nusselt number
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