Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium

doi:10.1088/1674-1056/22/7/074702

Abstract In this paper, the effects of both rotation and magnetic field of the peristaltic transport of second-order fluid through a porous medium in a channel are studied analytically and computed numerically. The material was represented by the constitutive equations for a second-order fluid. Closed-form solutions under the consideration of long wavelength and low Reynolds number is presented. The analytical expressions for the pressure gradient, pressure rise, friction force, stream function, shear stress, and velocity are obtained in the physical domain. The effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow in the wave frame are analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. Comparison was made with the results obtained in the presence and absence of rotation, magnetic field, and porosity. The results indicate that the effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow are very pronounced in the phenomena.

Keywords: peristaltic flow second-order fluid magnetic field porous medium

Received: 22 October 2012
Revised: 15 January 2013
Accepted manuscript online:

PACS:	47.15.G-
	47.15.Rq	(Laminar flows in cavities, channels, ducts, and conduits)
	47.27.nd	(Channel flow)
	47.45.Gx	(Slip flows and accommodation)

Corresponding Authors: A. M. Abd-Alla
E-mail: mohmrr@yahoo.com

Cite this article:

A. M. Abd-Alla, S. M. Abo-Dahab, H. D. El-Shahrany Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium 2013 Chin. Phys. B 22 074702

[1]	Hayat T, Ali N and Abbas Z 2007 Phys. Lett. A 37 331
[2]	Abd-Alla A M, Yahya G A, Mahmoud S R and Alosaimi H S 2012 Meccanica 47 1455
[3]	Mahmoud S R, Abd-Alla A M and El-Sheikh M A 2011 Int. J. Mod. Phys. B 25 2713
[4]	Tripathi D, Pandey S K and Das S 2011 Acta Astronaut 69 30
[5]	Wang Y, Ali N, Hayat T and Oberlack M 2011 Appl. Math. Model 35 3737
[6]	Akbar N S, Nadeem S, Hayat T and Hendi A A 2011 Int. J. Heat Mass Tran. 54 4360
[7]	Akbar N S, Hayat T, Nadeem S and Hendi A A 2011 Int. J. Heat Mass Tran. 54 1654
[8]	Gad N S 2011 Appl. Math. Comput. 217 4313
[9]	Nadeem S and Akbar N S 2011 J. Taiwan Inst. Chem. Eng. 42 58
[10]	Hayat T, Saleem N, Asghar S, Alhothuali M S and Alhomaidan A 2011 Commun. Nonlinear Sci. Numer. Simulat. 16 3559
[11]	Pandey S K, Chaube M K and Tripathi D 2011 J. Theor. Biol. 278 11
[12]	Pandey S K, Chaube M K, Nadeem S and Akram S 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 1705
[13]	Pandey S K and Chaube M K 2010 Math. Comput. Model. 52 501
[14]	Haroun M H 2007 Commun. Nonlinear Sci. Numer. Simulat. 12 1464
[15]	Kothandapani M and Srinivas S 2008 Phys. Lett. A 372 1265
[16]	Hayat T, Afsar A, Khan M and Asghar S 2007 Comput. Math. Appl. 53 1074
[17]	Ali N, Sajid M, Abbas Z and Javed T 2010 Eur. J. Mech. B: Fluids 29 387
[18]	Hayat T and Ali N 2008 Commun. Nonlinear Sci. Numer. Simulat. 13 1343
[19]	Kothandapani M and Srinivas S 2008 Int. J. Nonlinear Mech. 43 15
[20]	Haroun M H 2007 Comput. Mater. Sci. 39 324
[21]	Hayat T, Asghar Z, Asghar S and Mesloub S 2010 J. Taiwan Inst. Chem. Eng. 41 553
[22]	Nadeem S and Akram S 2010 Math. Comput. Model 52 107
[23]	Srinivas S and Gayathri R 2009 Appl. Math. Comput. 215 185
[24]	Srinivas S and Pushparaj V 2008 Commun. Nonlinear Sci. Numer. Simulat. 13 1782
[25]	Siddiqui A M and Schehawey W H 1994 J. Fluid Mech. 53 257
[26]	Shapiro A H, Jaffrin M Y and Weinberg S L 1969 J. Fluid Mech. 37 799
[27]	Shukla J B, Parihar R S, Rao B R P and Gupta S P 1980 J. Fluid Mech. 97 225
[28]	Mishra M, Ramachandra R and Angew Z 2003 Math. Phys. 54 352
[29]	Eytan O and Elad D 1999 Bull. Math. Biol. 61 221
[30]	Mekheimer Kh S 2003 J. Porous Media 6 189
[31]	Coleman B D and Noll W 1960 Arch. Rational Mech. Anal. 6 355

[1]	Quantum control of ultrafast magnetic field in H₃²⁺ molecules by tricircular polarized laser pulses Qing-Yun Xu(徐清芸), Yong-Lin He(何永林), Zhi-Jie Yang(杨志杰), Zhi-Xian Lei(雷志仙),Shu-Juan Yan(闫淑娟), Xue-Shen Liu(刘学深), and Jing Guo(郭静). Chin. Phys. B, 2023, 32(3): 033202.
[2]	Influence of magnetic field on power deposition in high magnetic field helicon experiment Yan Zhou(周岩), Peiyu Ji(季佩宇), Maoyang Li(李茂洋), Lanjian Zhuge(诸葛兰剑), and Xuemei Wu(吴雪梅). Chin. Phys. B, 2023, 32(2): 025205.
[3]	Physical aspects of magnetized Jeffrey nanomaterial flow with irreversibility analysis Fazal Haq, Muhammad Ijaz Khan, Sami Ullah Khan, Khadijah M Abualnaja, and M A El-Shorbagy. Chin. Phys. B, 2022, 31(8): 084703.
[4]	Coupled flow and heat transfer of power-law nanofluids on non-isothermal rough rotary disk subjected to magnetic field Yun-Xian Pei(裴云仙), Xue-Lan Zhang(张雪岚), Lian-Cun Zheng(郑连存), and Xin-Zi Wang(王鑫子). Chin. Phys. B, 2022, 31(6): 064402.
[5]	Simulation of the physical process of neural electromagnetic signal generation based on a simple but functional bionic Na⁺ channel Fan Wang(王帆), Jingjing Xu(徐晶晶), Yanbin Ge(葛彦斌), Shengyong Xu(许胜勇),Yanjun Fu(付琰军), Caiyu Shi(石蔡语), and Jianming Xue(薛建明). Chin. Phys. B, 2022, 31(6): 068701.
[6]	Vortex chains induced by anisotropic spin-orbit coupling and magnetic field in spin-2 Bose-Einstein condensates Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Chin. Phys. B, 2022, 31(6): 060305.
[7]	Manipulating vortices in F=2 Bose-Einstein condensates through magnetic field and spin-orbit coupling Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Chin. Phys. B, 2022, 31(4): 040306.
[8]	Nonlinear oscillation characteristics of magnetic microbubbles under acoustic and magnetic fields Lixia Zhao(赵丽霞), Huimin Shi(史慧敏), Isaac Bello, Jing Hu(胡静), Chenghui Wang(王成会), and Runyang Mo(莫润阳). Chin. Phys. B, 2022, 31(3): 034302.
[9]	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.
[10]	Numerical investigation of radio-frequency negative hydrogen ion sources by a three-dimensional fluid model Ying-Jie Wang(王英杰), Jia-Wei Huang(黄佳伟), Quan-Zhi Zhang(张权治), Yu-Ru Zhang(张钰如), Fei Gao(高飞), and You-Nian Wang(王友年). Chin. Phys. B, 2021, 30(9): 095205.
[11]	A modified analytical model of the alkali-metal atomic magnetometer employing longitudinal carrier field Chang Chen(陈畅), Yi Zhang(张燚), Zhi-Guo Wang(汪之国), Qi-Yuan Jiang(江奇渊), Hui Luo(罗晖), and Kai-Yong Yang(杨开勇). Chin. Phys. B, 2021, 30(5): 050707.
[12]	Magnetization and magnetic phase diagrams of a spin-1/2 ferrimagnetic diamond chain at low temperature Tai-Min Cheng(成泰民), Mei-Lin Li(李美霖), Zhi-Rui Cheng(成智睿), Guo-Liang Yu(禹国梁), Shu-Sheng Sun(孙树生), Chong-Yuan Ge(葛崇员), and Xin-Xin Zhang(张新欣). Chin. Phys. B, 2021, 30(5): 057503.
[13]	Transport property of inhomogeneous strained graphene Bing-Lan Wu(吴冰兰), Qiang Wei(魏强), Zhi-Qiang Zhang(张智强), and Hua Jiang(江华). Chin. Phys. B, 2021, 30(3): 030504.
[14]	An electromagnetic view of relay time in propagation of neural signals Jing-Jing Xu(徐晶晶), San-Jin Xu(徐三津), Fan Wang(王帆), and Sheng-Yong Xu(许胜勇). Chin. Phys. B, 2021, 30(2): 028701.
[15]	Exploration of magnetic field generation of H₃²⁺ by direc ionization and coherent resonant excitation Zhi-Jie Yang(杨志杰), Qing-Yun Xu(徐清芸), Yong-Lin He(何永林), Xue-Shen Liu(刘学深), and Jing Guo(郭静). Chin. Phys. B, 2021, 30(12): 123203.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium

Cite this article:

Online attention