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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 17, 1990 - Issue 1
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Original Articles

SOLUTIONS TO THE EXTENDED GRAETZ PROBLEM FOR A POWER-MODEL FLUID WITH VISCOUS DISSIPATION AND DIFFERENT ENTRANCE BOUNDARY CONDITIONS

Ching-Tien Liou Department of Chemical Engineering, National Taiwan Institute of Technology, Taipei, Taiwan, 10772, Republic of China
&
Feng-Sheng Wang Department of Chemical Engineering, Feng Chia University, Taichung, Taiwan, 40724, Republic of China
Pages 91-108 | Received 03 Jan 1989, Accepted 27 Jul 1989, Published online: 27 Apr 2007

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Tien-Mo Shih & MichaelM. Ohadi. (1993) LITERATURE SURVEY ON NUMERICAL HEAT TRANSFER (1990-1991). Numerical Heat Transfer, Part A: Applications 23:2, pages 129-169.
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Articles from other publishers (19)

Soaad Elalaoui, Abdelaziz Oubarra, Jawad Lahjomri & K. Zniber. (2023) ANALYSIS OF THE HEAT TRANSFER BY LAMINAR FLOW IN THERMAL ENTRANCE REGION OF A CONDUIT WITH WAVY SURFACE SUBJECTED TO A UNIFORM WALL HEAT FLUX. Computational Thermal Sciences: An International Journal 15:5, pages 71-93.
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Muhammad Faheem Hassan & Rachid Chebbi. (2022) Analysis of Heat Transfer for Simultaneously Developing Temperature Profile and Fluid Flow of Power-Law Fluids in the Entrance Region of a Tube. International Journal of Thermofluids, pages 100240.
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Ahmed SHKARAH. (2021) CONVECTIVE HEAT TRANSFER AND FULLY DEVELOPED FLOW FOR CIRCULAR TUBE NEWTONIAN AND NON-NEWTONIAN FLUIDS CONDITION. Journal of Thermal Engineering 7:3, pages 409-414.
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Yashar Mehmani & Matthew T. Balhoff. (2014) Generalized semi-analytical solution of advection–diffusion–reaction in finite and semi-infinite cylindrical ducts. International Journal of Heat and Mass Transfer 78, pages 1155-1165.
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Asghar Molaei Dehkordi & Mohammad Memari. (2010) Transient and steady-state forced convection to power-law fluids in the thermal entrance region of circular ducts: Effects of viscous dissipation, variable viscosity, and axial conduction. Energy Conversion and Management 51:5, pages 1065-1074.
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Ali Mahdavi Khatibi, Mahmoud Mirzazadeh & Fariborz Rashidi. (2010) Forced convection heat transfer of Giesekus viscoelastic fluid in pipes and channels. Heat and Mass Transfer 46:4, pages 405-412.
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Asghar Molaei Dehkordi & Ali Asghar Mohammadi. (2009) Transient forced convection with viscous dissipation to power-law fluids in thermal entrance region of circular ducts with constant wall heat flux. Energy Conversion and Management 50:4, pages 1062-1068.
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Chii-Dong Ho, Yu-Chuan Tsai & Jr-Wei Tu. (2007) Improvement on device performance in multi-pass heat transfer through a parallel-plate channel with external recycle. International Journal of Heat and Mass Transfer 50:23-24, pages 4805-4811.
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A. Barletta & E. Magyari. (2006) Thermal Entrance Heat Transfer of an Adiabatically Prepared Fluid With Viscous Dissipation in a Tube With Isothermal Wall. Journal of Heat Transfer 128:11, pages 1185-1193.
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Orhan Aydin. (2005) Effects of viscous dissipation on the heat transfer in a forced pipe flow. Part 2: Thermally developing flow. Energy Conversion and Management 46:18-19, pages 3091-3102.
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O. Jambal, T. Shigechi, G. Davaa & S. Momoki. (2005) Effects of viscous dissipation and fluid axial heat conduction on heat transfer for non-Newtonian fluids in ducts with uniform wall temperature. International Communications in Heat and Mass Transfer 32:9, pages 1165-1173.
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K. Zniber, A. Oubarra & J. Lahjomri. (2005) Analytical solution to the problem of heat transfer in an MHD flow inside a channel with prescribed sinusoidal wall heat flux. Energy Conversion and Management 46:7-8, pages 1147-1163.
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Peter P. Valkó. (2005) Solution of the Graetz–Brinkman problem with the Laplace transform Galerkin method. International Journal of Heat and Mass Transfer 48:9, pages 1874-1882.
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Orhan Aydin. (2005) Effects of viscous dissipation on the heat transfer in forced pipe flow. Part 1: both hydrodynamically and thermally fully developed flow. Energy Conversion and Management 46:5, pages 757-769.
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J. Lahjomri, K. Zniber, A. Oubarra & A. Alemany. (2003) Heat transfer by laminar Hartmann's flow in thermal entrance region with uniform wall heat flux: the Graetz problem extended. Energy Conversion and Management 44:1, pages 11-34.
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J. Lahjomri, A. Oubarra & A. Alemany. (2002) Heat transfer by laminar Hartmann flow in thermal entrance region with a step change in wall temperatures: the Graetz problem extended. International Journal of Heat and Mass Transfer 45:5, pages 1127-1148.
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N. Luna, F. Méndez & C. Treviño. (2002) Conjugated heat transfer in circular ducts with a power-law laminar convection fluid flow. International Journal of Heat and Mass Transfer 45:3, pages 655-666.
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A. BARLETTA. (1996) Fully developed laminar forced convection in circular ducts for power-law fluids with viscous dissipation. International Journal of Heat and Mass Transfer 40:1, pages 15-26.
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Raoul Giudici & Enrico Tronconi. (1996) Laminar flow and forced convection heat transfer in plate-type monolith structures by a finite element solution. International Journal of Heat and Mass Transfer 39:9, pages 1963-1978.
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