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Wall coupling effect in channel forced convection with streamwise periodic boundary heat flux variation
Authors:Antonio Barletta  Eugenia Rossi di Schio  Gianni Comini  Paola D'Agaro
Affiliation:1. Alma Mater Studiorum – Università di Bologna, Dipartimento di Ingegneria Energetica, Nucleare e de Controllo Ambientale (DIENCA), Laboratorio di Montecuccolino, via dei Colli 16, 40136 Bologna, Italy;2. Università degli Studi di Udine, Dipartimento di Energetica e Macchine, Via delle Scienze 208, 33100 Udine, Italy;1. Department of Obstetrics & Gynecology, Peking Union Medical College Hospital, Chinese Academy of Medical Science, Peking Union Medical College, Beijing, PR China;2. BioChain (Beijing) Science & Technology Inc., No. 7A, Yongchang North Rd, Business Development Area, Beijing, PR China;1. School of Computer Science and Technology, Jilin University, Changchun 130012, China;2. Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Changchun 130012, China;1. Hospices Civils de Lyon, Centre Hospitalier Lyon Sud Pierre Bénite, Department of Oncologic and General Surgery, France;2. Université Lyon 1, EMR 37-38, Lyon, France;3. Hospices Civils de Lyon, Pôle Information Médicale Evaluation Recherche, Unité de Recherche Clinique, Lyon, France
Abstract:The present paper deals with the laminar forced convection in a parallel-plane channel, and is aimed to investigate the effect of conducting walls. On the external boundaries of the duct walls a thermal boundary condition is prescribed, such that the wall heat flux longitudinally varies with sinusoidal law. The local energy balance equation is written separately for the fluid and the solid regions, with reference to the fully developed regime, and then solved both analytically and numerically. Moreover, the local and average Nusselt numbers in a longitudinal period are evaluated. The average Nusselt number, if regarded as a function of the dimensionless pulsation, displays an interesting feature. In fact, for all the considered cases, it has a minimum, so that there exists a value of the dimensionless pulsation such that the heat exchange between the fluid and the solid wall is considerably inhibited.
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