Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Thermal Convection in a Heated-Block Duct With Periodic Boundary Conditions by Element-by-Element Treatment

Version 1 : Received: 15 May 2023 / Approved: 15 May 2023 / Online: 15 May 2023 (10:11:58 CEST)

A peer-reviewed article of this Preprint also exists.

Jue, T.-C.; Wu, H.-W.; Hsueh, Y.-C.; Guo, Z.-W. Thermal Convection in a Heated-Block Duct with Periodic Boundary Conditions by Element-by-Element Treatment. Inventions 2023, 8, 97. Jue, T.-C.; Wu, H.-W.; Hsueh, Y.-C.; Guo, Z.-W. Thermal Convection in a Heated-Block Duct with Periodic Boundary Conditions by Element-by-Element Treatment. Inventions 2023, 8, 97.

Abstract

Due to the numerous heat sources in electronic equipment, the periodic nature of stream-wise flow occurs in a cooling channel so often, necessitating the development of an effective technique to improve the heat-cooling convection in such a situation. This paper investigates thermal convection enhancement in a heated-block duct through the periodic boundary conditions using the element-by-element (EBE) treatment in a semi-implicit projection finite element method (FEM) through preconditioned conjugate gradient (PCG) solver. This paper used the time-mean Nusselt number ratio, friction factor, and thermal performance to study how installing rectangular cylinders in the channel works with periodic boundary conditions varying Reynolds numbers (100, 175, and 250). The outcomes show that the rectangular cylinders installed stream-wise above an upstream block promote thermal convection in the heated-block duct. However, increasing the number of rectangular cylinders can raise friction factor. As a result, the case for periodic boundary conditions with a rectangular cylinder above every two blocks has the best thermal performance.

Keywords

heat transfer enhancement; heated-block channel; mounting rectangular cylinders; periodic boundary conditions

Subject

Engineering, Mechanical Engineering

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