This paper investigates the flow and heat transfer of power-law fluids over a stretching sheet where the coupling dynamics influence of viscous sheet and ambient fluid is taken into account via the stress balance. A modified Fourier's law is introduced in which the effects of viscous dissipation are taken into account by assuming that the thermal conductivity is to be shear-dependent on the velocity gradient. The conditions for both velocity and thermal boundary layers admitting similarity solutions are found, and numerical solutions are computed by a Bvp4c program. The results show that the viscous sheet and rheological properties of ambient fluids have significantly influences on both velocity and temperature fields characteristics. The formation of sheet varies with the viscosity of fluid and draw ratio, which then strongly affects the relations of the local skin friction coefficient, the local Nusselt number, and the generalized Reynolds number. Moreover, for specified parameters, the flow and heat transfer behaviors are discussed in detail.
Skip Nav Destination
Article navigation
Research-Article
Coupling Effects of Viscous Sheet and Ambient Fluid on Boundary Layer Flow and Heat Transfer in Power-Law Fluids
Xiaochuan Liu,
Xiaochuan Liu
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
University of Science and Technology Beijing,
Beijing 100083, China
Search for other works by this author on:
Liancun Zheng,
Liancun Zheng
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
e-mail: liancunzheng@ustb.edu.cn
University of Science and Technology Beijing,
Beijing 100083, China
e-mail: liancunzheng@ustb.edu.cn
1Corresponding author.
Search for other works by this author on:
Goong Chen,
Goong Chen
Department of Mathematics and Institute for
Quantum Science and Engineering,
Texas A&M University,
College Station, TX 77843
Quantum Science and Engineering,
Texas A&M University,
College Station, TX 77843
Search for other works by this author on:
Lianxi Ma
Lianxi Ma
Department of Physics,
Bryan, TX 77805
Blinn College
,Bryan, TX 77805
Search for other works by this author on:
Xiaochuan Liu
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
University of Science and Technology Beijing,
Beijing 100083, China
Liancun Zheng
School of Mathematics and Physics,
University of Science and Technology Beijing,
Beijing 100083, China
e-mail: liancunzheng@ustb.edu.cn
University of Science and Technology Beijing,
Beijing 100083, China
e-mail: liancunzheng@ustb.edu.cn
Goong Chen
Department of Mathematics and Institute for
Quantum Science and Engineering,
Texas A&M University,
College Station, TX 77843
Quantum Science and Engineering,
Texas A&M University,
College Station, TX 77843
Lianxi Ma
Department of Physics,
Bryan, TX 77805
Blinn College
,Bryan, TX 77805
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 27, 2018; final manuscript received January 26, 2019; published online April 17, 2019. Assoc. Editor: Yuwen Zhang.
J. Heat Transfer. Jun 2019, 141(6): 061701 (7 pages)
Published Online: April 17, 2019
Article history
Received:
January 27, 2018
Revised:
January 26, 2019
Citation
Liu, X., Zheng, L., Chen, G., and Ma, L. (April 17, 2019). "Coupling Effects of Viscous Sheet and Ambient Fluid on Boundary Layer Flow and Heat Transfer in Power-Law Fluids." ASME. J. Heat Transfer. June 2019; 141(6): 061701. https://doi.org/10.1115/1.4042774
Download citation file:
Get Email Alerts
Cited By
Sensitivity Analysis and Optimization of Heat Transfer Performance of Ultra-Thin Vapor Chamber With Composite Wick
J. Heat Mass Transfer (August 2024)
Optimization of Manifold Microchannel Heat Sink Based on Design of Experiment Method
J. Heat Mass Transfer (August 2024)
Heat Transfer Analysis of Memory-Dependent Derivative in Biological Tissue Subjected to a Moving Heat Source
J. Heat Mass Transfer (August 2024)
Related Articles
Heat Transfer in a Laminar Channel Flow Generated by Injection Through Porous Walls
J. Fluids Eng (August,2007)
Heat-Transfer Measurements and Predictions for the Vane and Blade of a Rotating High-Pressure Turbine Stage
J. Turbomach (January,2004)
Detailed Heat Transfer Measurements in a Model of an Integrally Cast Cooling Passage
J. Turbomach (April,2010)
Predicting Transition in Turbomachinery—Part II: Model Validation and Benchmarking
J. Turbomach (January,2007)
Related Proceedings Papers
Related Chapters
Extended Surfaces
Thermal Management of Microelectronic Equipment
Extended Surfaces
Thermal Management of Microelectronic Equipment, Second Edition
Cavitating Structures at Inception in Turbulent Shear Flow
Proceedings of the 10th International Symposium on Cavitation (CAV2018)