Effects of heat transfer and the endoscope on Jeffrey fluid peristaltic flow in tubes

被引：29
作者：
Abd-Alla, A. M. [1 ]
Abo-Dahab, S. M. [2 ,3 ]
Abdelhafez, M. A. [1 ]
Thabet, Esraa N. [1 ]
机构：
[1] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt
[2] South Valley Univ, Dept Math, Fac Sci, Qena, Egypt
[3] Luxor Univ, Dept Comp Sci, Fac Comp & Informat, Armant, Egypt
来源：
MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES | 2021年 / 17卷 / 05期
关键词：
Peristaltic flow; Heat transfer; Endoscope; Uniform coaxial tubes; Jeffrey fluid; TEMPERATURE-DEPENDENT VISCOSITY; WAVY WALL CHANNEL; MAGNETIC-FIELD; MASS-TRANSFER; NANOFLUID FLOW; NANO FLUID; TRANSPORT; SLIP; SUSPENSION;
D O I：
10.1108/MMMS-12-2020-0292
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Purpose This article aims to describe the effect of an endoscope and heat transfer on the peristaltic flow of a Jeffrey fluid through the gap between concentric uniform tubes. Design/methodology/approach The mathematical model of the present problem is carried out under long wavelength and low Reynolds number approximations. Analytical solutions for the velocity, temperature profiles, pressure gradient and volume flow rate are obtained. Findings The results indicate that the effect of the wave amplitude, radius ratio, Grashof number, the ratio of relaxation to retardation times and the radius are very pronounced in the phenomena. Also, a comparison of obtaining an analytical solution against previous literatures shows satisfactory agreement. Originality/value Analytical solutions for the velocity, temperature profiles, pressure gradient and volume flow rate are obtained. Numerical integration is performed to analyze the pressure rise and frictional forces on the inner and outer tubes.
引用
收藏
页码：895 / 914
页数：20
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