Please wait a minute...
Chinese Physics, 2006, Vol. 15(11): 2644-2650    DOI: 10.1088/1009-1963/15/11/031
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

Velocity overshoot of start-up flow for a Maxwellfluid in a porous half-space

Tan Wen-Chang(谭文长)
State Key Laboratory of Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China
Abstract  Stokes' first problem has been investigated for a Maxwell fluid in a porous half-space for gaining insight into the effect of viscoelasticity on the start-up flow in a porous medium. An exact solution was obtained by using the Fourier sine transform. It was found that at large values of the relaxation time the velocity overshoot occurs obviously and the system exhibits viscoelastic behaviours. On the other hand, for short relaxation time the velocity overshoot disappears and the system exhibits viscous behaviours. A critical value of the relaxation time was obtained for the emergence of the velocity overshoot. Furthermore, it was found that the velocity overshoot is caused by both the viscoelasticity of the Maxwell fluid and the Darcy resistance resulting from the structure of the micropore in the porous medium.
Keywords:  Maxwell fluid      porous media      velocity overshoot  
Received:  20 October 2005      Revised:  28 June 2006      Accepted manuscript online: 
PACS:  47.56.+r (Flows through porous media)  
  47.10.-g (General theory in fluid dynamics)  
  47.50.-d (Non-Newtonian fluid flows)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10372007 and 10572006) and the New Century Training Programme Foundation for the Talents by Chinese Ministry of Education.

Cite this article: 

Tan Wen-Chang(谭文长) Velocity overshoot of start-up flow for a Maxwellfluid in a porous half-space 2006 Chinese Physics 15 2644

[1] Erratum to “Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel”
Khaled S. Mekheimer, Soliman R. Komy, and Sara I. Abdelsalam. Chin. Phys. B, 2021, 30(9): 099901.
[2] Shear-horizontal transverse-electric seismoelectric waves in cylindrical double layer porous media
Wei-Hao Wang(王伟豪), Xiao-Yan Zhu(朱晓焱), Jin-Xia Liu(刘金霞), and Zhi-Wen Cui(崔志文). Chin. Phys. B, 2021, 30(1): 014301.
[3] Frequency-dependent reflection of elastic wave from thin bed in porous media
Hong-Xing Li(李红星), Chun-Hui Tao(陶春辉), Cai Liu(刘财), Guang-Nan Huang(黄光南), Zhen-An Yao(姚振岸). Chin. Phys. B, 2020, 29(6): 064301.
[4] Numerical study on permeability characteristics of fractal porous media
Yongping Huang(黄永平), Feng Yao(姚峰), Bo Zhou(周博), Chengbin Zhang(张程宾). Chin. Phys. B, 2020, 29(5): 054701.
[5] Molecular dynamics simulation of decomposition and thermal conductivity of methane hydrate in porous media
Ping Guo(郭平), Yi-Kun Pan(潘意坤), Long-Long Li(李龙龙), Bin Tang(唐斌). Chin. Phys. B, 2017, 26(7): 073101.
[6] Experimental study and theoretical analysis of fluid resistance in porous media of glass spheres
Tong Wang(王彤), Kun-Can Zheng(郑坤灿), Yu-Peng Jia(贾宇鹏), Cheng-Lu Fu(付承鹭), Zhi-Jun Gong(龚志军), Wen-Fei Wu(武文斐). Chin. Phys. B, 2017, 26(7): 074701.
[7] Unsteady MHD flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a nanofluid
Sadegh Khalili, Saeed Dinarvand, Reza Hosseini, Hossein Tamim, Ioan Pop. Chin. Phys. B, 2014, 23(4): 048203.
[8] A fractal approach to low velocity non-Darcy flow in a low permeability porous medium
Cai Jian-Chao (蔡建超). Chin. Phys. B, 2014, 23(4): 044701.
[9] Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet
Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed Alsaedi. Chin. Phys. B, 2014, 23(12): 124701.
[10] Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity
Ahmed M. Megahed. Chin. Phys. B, 2013, 22(9): 094701.
[11] Cross-diffusive effects on the onset of the double-diffusive convection in a horizontal saturated porous fluid layer heated and salted from above
Rajib Basu, G. C. Layek. Chin. Phys. B, 2013, 22(5): 054702.
[12] Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel
Khaled S. Mekheimer, Soliman R. Komy, Sara I. Abdelsalam. Chin. Phys. B, 2013, 22(12): 124702.
[13] Effects of transpiration on unsteady MHD flow of an upper convected Maxwell (UCM) fluid passing through a stretching surface in the presence of a first order chemical reaction
Swati Mukhopadhyay, M. Golam Arif, M. Wazed Ali Pk. Chin. Phys. B, 2013, 22(12): 124701.
[14] Tortuosity for streamlines in porous media
Kou Jian-Long(寇建龙), Tang Xue-Ming(唐学明), Zhang Hai-Yan(张海燕), Lu Hang-Jun(陆杭军), Wu Feng-Min(吴锋民), Xu You-Sheng(许友生), and Dong Yong-Sheng(董永胜) . Chin. Phys. B, 2012, 21(4): 044701.
[15] Simulation of the relationship between porosity and tortuosity in porous media with cubic particles
Tang Xiao-Wu (唐晓武), Sun Zu-Feng (孙祖峰), Cheng Guan-Chu (程冠初). Chin. Phys. B, 2012, 21(10): 100201.
No Suggested Reading articles found!