Application of improved Fourier's and Fick's laws in a non-Newtonian fluid with temperature-dependent thermal conductivity

被引：10

作者：

Waqas, M. ^{[1
]}

Hayat, T. ^{[1
,2
]}

Shehzad, S. A. ^{[3
]}

Alsaedi, A. ^{[2
]}

机构：

[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80257, Jeddah 21589, Saudi Arabia

[3] COMSATS Inst Informat Technol, Dept Math, Sahiwal 57000, Pakistan

来源：

JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING | 2018年 / 40卷 / 03期

关键词：

Improved Fourier's and Fick's laws; Burgers fluid; Variable thermal conductivity; Impermeable stretched sheet; CARREAU NANOFLUID; HEAT-TRANSFER; FLOW;

D O I：

10.1007/s40430-018-1023-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

An analysis is presented to report the notable features of non-Fourier's double diffusion model in stretchable flow of modified Burgers liquid. The flow phenomenon is due to impermeable stretched sheet. The energy and mass expressions are modeled utilizing concept of non-Fourier's double diffusion. Heat transfer mechanism is characterized within the frame of variable thermal conductivity. Relevant variables reduced the non-linear partial differential expressions into the ordinary differential expressions. Series solutions of established systems are obtained within the frame of homotopy concept. Convergence is attained and acceptable values are certified by expressing the so-called (h) over bar curves. Temperature and concentration are further disclosed and argued for several variables through graphs. Higher values of thermal/concentration relaxation time lead to decay in temperature and concentration.

引用

页数：8

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