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Pulsating flow in a channel filled with a porous medium under local thermal non-equilibrium condition: an exact solution

Fathi-kelestani, Arman and Nazari, Meysam and Mahmoudi, Yasser (2021). Pulsating flow in a channel filled with a porous medium under local thermal non-equilibrium condition: an exact solution. Journal of Thermal Analysis and Calorimetry. 145 , 2753-2775
[Research article]

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Abstract

The present work investigates analytically the problem of forced convection heat transfer of a pulsating flow, in a channel filled with a porous medium under local thermal non-equilibrium condition. Internal heat generation is considered in the porous medium, and the channel walls are subjected to constant heat flux boundary condition. Exact solutions are obtained for velocity, Nusselt number and temperature distributions of the fluid and solid phases in the porous medium. The influence of pertinent parameters, including Biot number, Darcy number, fluid-to-solid effective thermal conductivity ratio and Prandtl number are discussed. The applied pressure gradient is considered in a sinusoidal waveform. The effect of dimensionless frequency and coefficient of the pressure amplitude on the system's velocity and temperature fields are discussed. The general shape of the unsteady velocity for different times is found to be very similar to the steady data. Results show that the amplitudes of the unsteady temperatures for the fluid and solid phases decrease with the increase in Biot number or thermal conductivity ratio. For large Biot numbers, dimensionless temperatures of the solid and fluid phases are similar and are close to their steady counterparts. Results for the Nusselt number indicate that increasing Biot number or thermal conductivity ratio decreases the amplitude of Nusselt number. Increase in the internal heat generation in the solid phase does not have a significant influence on the ratio of amplitude-to-mean value of the Nusselt number, while internal heat generation in the fluid phase enhances this ratio.

Authors/Creators:Fathi-kelestani, Arman and Nazari, Meysam and Mahmoudi, Yasser
Title:Pulsating flow in a channel filled with a porous medium under local thermal non-equilibrium condition: an exact solution
Series Name/Journal:Journal of Thermal Analysis and Calorimetry
Year of publishing :2021
Volume:145
Page range:2753-2775
Number of Pages:23
Publisher:SPRINGER
ISSN:1388-6150
Language:English
Publication Type:Research article
Article category:Scientific peer reviewed
Version:Published version
Copyright:Creative Commons: Attribution 4.0
Full Text Status:Public
Subjects:(A) Swedish standard research categories 2011 > 2 Engineering and Technology > 203 Mechanical Engineering > Energy Engineering
Keywords:Porous media, Pulsating flow, Convective heat transfer, Local thermal non-equilibrium, Analytical solution
URN:NBN:urn:nbn:se:slu:epsilon-p-113390
Permanent URL:
http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-p-113390
Additional ID:
Type of IDID
DOI10.1007/s10973-020-09843-0
Web of Science (WoS)000537679100004
ID Code:25256
Faculty:S - Faculty of Forest Sciences
Department:(S) > Department of Forest Biomaterials and Technology
Deposited By: SLUpub Connector
Deposited On:06 Sep 2021 10:25
Metadata Last Modified:06 Sep 2021 10:31

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