LAMINAR HEAT TRANSFER WITH VISCOUS DISSIPATION FOR NEWTONIAN FLUIDS FLOWING IN PARALLEL HEATED PLATES WITH ONE PLATE MOVING
DOI:
https://doi.org/10.47941/nsj.345Keywords:
Newtonian fluids, Moving boundary, Viscous dissipation, Nusselt number, Brinkman number.Abstract
The paper investigates basic analytical expressions for Nusselt number with effect of viscous dissipation on the heat transfer between parallel heated plates with one plate moving, where the focus is on hydro-dynamically and thermally fully developed flow of Newtonian fluids with constant properties, neglecting the axial heat conduction in the fluids and through the walls. Thermal boundary conditions considered are: both plates kept at different constant heat fluxes, both plates kept at equal constant heat fluxes, and one plate insulated. From the analysis, new expressions for Nusselt numbers have been found, as a function of various definitions of the Brinkman number.
Downloads
References
O. Aydin and M. Avci, "Viscous-Dissipation Effects on the Heat Transfer in a Poiseuille Flow," Applied Energy, Vol. 83, No. 5, 2006, pp. 495-512.
J. W. Ou and K. C. Cheng, "Effects of Pressure Work and Viscous Dissipation on Graetz Problem for Gas Flows in Parallel Plate Channels," Warmeund Stoffubertraggung, Vol. 6, No. 4, 1973, pp. 191-198.
C. P. Tso, J. Sheela Francisca and Y.-M. Hung, "Viscous Dissipation Effects of Power-Law Fluid within Parallel Plates with Constant Heat Fluxes, "Journal of non Newtonian Fluid Mechanics, Vol. 165, No. 11-12, 2010, pp. 625-630.
D. E. Gray, "The Motion of Viscous Fluids," American Institute of Physics Handbook, 3rd Edition, Section 3c-2, Copyright © 2012 SciRes.
D. A. Nield, A. V. Kuznetsov and M. Xiong, "Thermally Developing Forced Convection in a Porous Medium: Parallel Plate Channel with Walls at Uniform Temperature, with Axial Conduction and Viscous Dissipation Effects," International Journal Heat and Mass Transfer, Vol. 46, No. 4, 2003, pp. 643-651.
Y. M. Hung and C. P. Tso, "Effects of Viscous Disspation on Fully Developed Forced Convection in Porous Media," International Communications in Heat Mass Transfer, Vol. 36, No. 6, 2009, pp. 597-603.
M. M. Salah El-Din, "Effect of Viscous Dissipation on Fully Developed Combined Convection in a Horizontal Double-Passage Channel," Heat Mass Transfer, Vol. 38, No. 7-8, 2002, pp. 673-677.
O. Aydin, "Effects of Viscous Dissipation on the Heat Transfer in Forced Pipe Flow. Part 1: Both Hydro-Dynamically and Thermally Fully Developed Flow," Energy Conversion Management, Vol. 46, 2005, pp. 757-769.
O. Aydin, "Effects of Viscous Dissipation on the Heat Transfer in a Forced Pipe Flow. Part 2: Thermally Developing Flow," Energy Conversion Management, Vol. 46, No. 18-19, 2005, pp. 3091-3102.
S. H. Hashemabadi, S. Gh. Etemad and J. Thibault, "Forced Convection Heat Transfer of Couette-Poiseuille Flow of Nonlinear Visco-Elastic Fluids between Parallel Plates," International Journal of Heat and Mass Transfer, Vol. 47, No. 17-18, 2004, pp. 3985-3991.
F. T. Pinho and P. J. Oliveira, "Analysis of Forced Con-vection in Pipes And Channels with the Simplified Phan-Thien-Tanner Fluid," International Journal of Heat and Mass Transfer, Vol. 43, No. 13, 2000, pp. 2273-2287.
S. H. Hashemabadi, S. Gh. Etemad and J. Thibault, "Mathematical Modeling of Laminar Forced Convection of Simplified Phan-Thien-Tanner (SPTT) Fluid between Moving Parallel Plates," International Communications in Heat Mass Transfer, Vol. 30, No. 2, 2003, pp. 197-205.
G. Davaa, T. Shigechi and S. Momoki, "Effect of Viscous Dissipation on Fully Developed Heat Transfer of Non-Newtonian Fluids in Plane Laminar Poiseuille-Couette Flow," International Communications in Heat Mass Transfer, Vol. 31, No. 5, 2004, pp. 663-672.
O. Aydin and M. Avci, "Laminar Forced Convection with Viscous Dissipation in a Couette-Poiseuille Flow between Parallel Plates," Applied Energy, Vol. 83, No. 8, 2006, pp. 856-867.
S. Gh. Etemad, A. S. Majumdar and B. Huang, "Viscous Dissipation Effects in Entrance Region Heat Transfer for a Power Law Fluid Flowing between Parallel Plates," International Journal of Heat and Fluid Flow, Vol. 15, No. 2, 1994, pp. 122-131.
M. Lewandowska and L. Malinowski, "An Analytcal Solution of the Hyperbolic Heat Conduction Equation for the Case of a Finite Medium Symmetrically Heated on Both Sides," International Communications in Heat Mass Transfer, Vol. 33, No. 1, 2006, pp. 61-69.
A. Pantokratoras, "Effect of Viscous Dissipation and Pressure Stress Work in Natural Convection along a Ver-tical Isothermal Plate. New Results," International Journal of Heat and Mass Transfer, Vol. 46, No. 25, 2003, pp. 4979-4983.
Y.-L. Chen and K.-Q. Zhu, "Couette-Poiseuille Flow of Bingham Fluids between Two Porous Parallel Plates with Slip Conditions," Journal of Non-Newtonian Fluid Mechanics, Vol. 153, No. 1, 2008, pp. 1-11.
O. Jambal, T. Shigechi, G. Davaa and S. Momoki, "Effects of Viscous Dissipation and Fluid Axial Heat Conduction on Heat Transfer for Non-Newtonian Fluids in Ducts with Uniform Wall Temperature Part I: Parallel Plates and Circular Ducts," International Communications in Heat Mass Transfer, Vol. 32, No. 9, 2005, pp. 1165-1173.
K. C. Cheng and R. S. Wu, "Viscous Dissipation Effects on Convective Instability and Heat Transfer in Plane Poiseuille Flow Heated from Below," Applied Science Research, Vol. 32, No. 4, 1976, pp. 327-346.
B. Li, L. Zheng and X. Zhang, "Heat Transfer in Pseudo-Plastic Non-Newtonian Fluids with Variable Thermal Conductivity," Energy Conversion Management, Vol. 52, No. 1, 2011, pp. 355-358.
R. Khatyr, J. Khalid-naciri and A. IL Idrissi, "Effects of Viscous Dissipation on the Asymptotic Behaviour of Laminar Forced Convection for Herschel-Bulkley Fluid in a Circular Duct," Journal of Mechanics Engineering and Automation, Vol. 6, 2016, pp. 419-426.
H. L. Liu, X. D. Shao and J. Y. Jia, "Effects of Axial Heat Conduction and Viscous Dissipation on Heat Transfer in Circular Micro-Channels," International Journal of Thermal Sciences, Vol. 66, 2013, pp. 34-41.
Y. H. Chan, G. M. Chen and C.P. Tso, "Effects of Asymmetric Boundary Conditions on Couette-Poiseuille Flow of Power-Law Fluid", Journal of Themophysics and Heat Transfer, Vol. 29, No. 3, 2015, pp. 496-503.
Downloads
Published
How to Cite
Issue
Section
License
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
