Influence of nonlinear thermal radiation on the viscous flow through a deformable asymmetric porous channel: A numerical study

被引：35

作者：

Ahmed, Naveed ^{[1
]}

Khan, Umar ^{[1
]}

Mohyud-Din, Syed Tauseef ^{[1
]}

机构：

[1] HITEC Univ, Fac Sci, Dept Math, Taxila Cantt, Pakistan

来源：

JOURNAL OF MOLECULAR LIQUIDS | 2017年 / 225卷

关键词：

Nonlinear thermal radiation; Deformable walls; Heat transfer; Numerical solutions; DIFFERENTIAL TRANSFORM METHOD; HEAT-TRANSFER ANALYSIS; BOUNDARY-LAYER-FLOW; CONTRACTING WALLS; STRETCHING SHEET; MASS-TRANSFER; MHD FLOW; NANOFLUID; SURFACE; FLUID;

D O I：

10.1016/j.molliq.2016.11.021

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A numerical investigation has been made to study the influence of nonlinear thermal radiation on the flow of a viscous fluid. The flow is confined in a channel with deformable porous walls. Two numerical schemes, namely, Galerkin's method [GM] and Runge-Kutta-Fehlberg [RKF] method have been employed to obtain the solutions after reducing the governing equations to a system of nonlinear ordinary differential equations. A good agreement has been found in both the solutions. Flow behavior under the influence of arising parameters has been discussed in details with the help of suitable graphs. It is seen that the thermal radiation increases not only the rate of heat transfer at the wall but it also affects the temperature profile quite significantly. The last section summarizes the observations and conclusions made after the study. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：167 / 173

页数：7

共 26 条

[1] Flow and heat transfer of nanofluid in an asymmetric channel with expanding and contracting walls suspended by carbon nanotubes: A numerical investigation [J].

Ahmed, Naveed ;

Mohyud-Din, Syed Tauseef ;

Hassan, Saleh M. .

AEROSPACE SCIENCE AND TECHNOLOGY, 2016, 48 :53-60

[2] MHD FLOW OF AN INCOMPRESSIBLE FLUID THROUGH POROUS MEDIUM BETWEEN DILATING AND SQUEEZING PERMEABLE WALLS [J].

Ahmed, Naveed ;

Khan, Umar ;

Zaidi, Zulfiqar Ali ;

Jan, Saeed Ullah ;

Waheed, Asif ;

Mohyud-Din, Syed Tauseef .

JOURNAL OF POROUS MEDIA, 2014, 17 (10) :861-867

[3] Exact traveling wave solutions to the (3+1)-dimensional mKdV-ZK and the (2+1)-dimensional Burgers equations via exp(-Phi(eta))-expansion method [J].

Alam, Md. Nur ;

Hafez, M. G. ;

Akbar, M. Ali ;

Harun-Or-Roshid .

ALEXANDRIA ENGINEERING JOURNAL, 2015, 54 (03) :635-644

[4]

[Anonymous], 1993, Heat conduction

[5] Lie-group method solution for two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability [J].

Boutros, Youssef Z. ;

Abd-el-Malek, Mina B. ;

Badran, Nagwa A. ;

Hassan, Hossain S. .

APPLIED MATHEMATICAL MODELLING, 2007, 31 (06) :1092-1108

[6] Exact self-similarity solution of the Navier-Stokes equations for a porous channel with orthogonally moving walls [J].

Dauenhauer, EC ;

Majdalani, J .

PHYSICS OF FLUIDS, 2003, 15 (06) :1485-1495

[7] Numerical analysis of steady non-Newtonian flows with heat transfer analysis, MHD and nonlinear slip effects [J].

Ellahi, R. ;

Hameed, M. .

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2012, 22 (01) :24-38

[8] THE MODIFIED DIFFERENTIAL TRANSFORM METHOD FOR SOLVING OFF-CENTERED STAGNATION FLOW TOWARD A ROTATING DISC [J].

Erfani, Esmaeel ;

Rashidi, Mohammad Mehdi ;

Parsa, Amir Basiri .

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2010, 7 (04) :655-670

[9]

Goto M., 1990, P 40 JAP NAT C APPL

[10] Heat Transfer Analysis on the Magnetohydrodynamic Flow of a Non-Newtonian Fluid in the Presence of Thermal Radiation: An Analytic Solution [J].

Khan, Yasir ;

Wu, Qingbiao ;

Faraz, Naeem ;

Yildirim, Ahmet ;

Mohyud-Din, Syed Tauseef .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2012, 67 (3-4) :147-152

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