Shock wave development in couple stress fluid-filled thin elastic tubes

被引：47

作者：

Adesanya, Samuel O. ^{[1
]}

Eslami, Mostafa ^{[2
]}

Mirzazadeh, Mohammad ^{[3
]}

Biswas, Anjan ^{[4
,5
]}

机构：

[1] Redeemers Univ, Dept Math Sci, Ede, Nigeria

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[3] Univ Guilan, Fac Math Sci, Dept Math, Rasht, Iran

[4] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[5] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2015年 / 130卷 / 06期

关键词：

SOLITON PERTURBATION-THEORY; WEAKLY NONLINEAR-WAVES; PULSATILE FLOW; EQUATION; APPROXIMATION;

D O I：

10.1140/epjp/i2015-15114-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper looks at the propagation of nonlinear waves through a fluid-filled elastic tube. Viscosity of fluid is taken into account. Using the reductive perturbation method, a nonlinear evolution equation (NLEE) is obtained and the exact travelling wave solution of the equation is obtained using the tanh method. The result shows that blood hyper-viscosity has a significant effect on the propagation of flow and pressure pulse waves.

引用

页数：21

共 35 条

[1] Effects of couple stresses on entropy generation rate in a porous channel with convective heating [J].

Adesanya, Samuel O. ;

Makinde, Oluwole D. .

COMPUTATIONAL & APPLIED MATHEMATICS, 2015, 34 (01) :293-307

[2] Entropy generation in couple stress fluid flow through porous channel with fluid slippage [J].

Adesanya, Samuel O. ;

Makinde, Oluwole D. .

INTERNATIONAL JOURNAL OF EXERGY, 2014, 15 (03) :344-362

[3] Heat Transfer to Magnetohydrodynamic Non-Newtonian Couple Stress Pulsatile Flow Between two Parallel Porous Plates [J].

Adesanya, Samuel Olumide ;

Makinde, Oluwole Daniel .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2012, 67 (10-11) :647-656

[4]

[Anonymous], 2012, J KING SAUD UNIV SCI, DOI DOI 10.1016/j.jksus.2010.08.003

[5] Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation [J].

Bhrawy, A. H. ;

Zaky, M. A. .

NONLINEAR DYNAMICS, 2015, 80 (1-2) :101-116

[6] A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations [J].

Bhrawy, A. H. ;

Zaky, M. A. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 281 :876-895

[7] An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system [J].

Bhrawy, A. H. .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 :30-46

[8]

Bhrawy A.H., 2015, CALCOLO, DOI [10.1007/s10092-014-0132., DOI 10.1007/S10092-014-0132]

[9]

Biswas A, 2012, IRAN J SCI TECHNOL A, V36, P431

[10] Soliton perturbation theory for the quadratic nonlinear Klein-Gordon equation [J].

Biswas, Anjan ;

Zony, Chenwi ;

Zerrad, Essaid .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (01) :153-156

← 1 2 3 4 →