scholarly journals Analysis of Reactive Flow of Third-grade Exothermi Chemical Reaction with Variable Viscosity and Convective Cooling

2019 ◽  
pp. 1-10
Author(s):  
J. F. Baiyeri ◽  
M. A. Mohammed ◽  
O. A. Esan ◽  
T. O. Ogunbayo ◽  
O. E. Enobabor
Keyword(s):  
Heat Generation ◽  
Blow Up ◽  
Variable Viscosity ◽  
Wall Friction ◽  
Third Grade ◽  
Reactive Flow ◽  
Thermal Buoyancy ◽  
Method Of Solution ◽  
Convective Exchange ◽  
Validation Of Results

The study examines incomprssible laminar Poiseuille flow of a non-Newtonian fluid and heat transfer in a cooling convective fixed wall. The third-grade exothermic reactive fluid is stimulated by heat generation, gradient pressure and thermal buoyancy force. The convective exchange of temperature with the ambient takes after Newtons cooling law. Transilation of the formulated equations to the non-dimensional form is done using relevance quantities and solutions to the nonlinear equations are provided by employing Weighted residual techniques. The obtained solutions for the flow rate, energy, flow wall friction and temperature gradient are graphically plotted for the reactive flow system. Numerical validation of results in comparison with the presented method of solution is carried out. The results revealed that some parameters which are strong heat generation or source should be consciously guided to avoid reactive solution blow up in the exothermic system.

scholarly journals Perturbation Solutions for Hagen-Poiseuille Flow and Heat Transfer of Third-Grade Fluid with Temperature-Dependent Viscosities and Internal Heat Generation

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
B. Y. Ogunmola ◽  
A. T. Akinshilo ◽  
M. G. Sobamowo
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Heat Generation ◽  
Variable Viscosity ◽  
Internal Heat ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Temperature Dependent ◽  
Flow And Heat Transfer ◽  
Grade Fluid

Regular perturbation technique is applied to analyze the fluid flow and heat transfer in a pipe containing third-grade fluid with temperature-dependent viscosities and heat generation under slip and no slip conditions. The obtained approximate solutions were used to investigate the effects of slip on the heat transfer characteristics of the laminar flow in a pipe under Reynolds’s and Vogel’s temperature-dependent viscosities. Also, the effects of parameters such as variable viscosity, non-Newtonian parameter, viscous dissipation, and pressure gradient at various values were established. The results of this work were compared with the numerical results found in literature and good agreements were established. The results can be used to advance the analysis and study of the behavior of third-grade fluid flow and steady state heat transfer processes such as those found in coal slurries, polymer solutions, textiles, ceramics, catalytic reactors, and oil recovery applications.

Thermophoresis and Heat Generation/Absorption in Flow of Third Grade Nanofluid

2015 ◽  
Vol 11 (3) ◽  
pp. 394-401 ◽  
Author(s):  
M. Awais ◽  
T. Hayat ◽  
S. Iram ◽  
S. Siddiqa ◽  
A. Alsaedi
Keyword(s):  
Heat Generation ◽  
Third Grade

Variable viscosity effects on third-grade liquid flow in post-treatment analysis of wire coating in the presence of nanoparticles

2018 ◽  
Vol 28 (10) ◽  
pp. 2423-2441 ◽  
Author(s):  
B. Mahanthesh ◽  
B.J. Gireesha ◽  
M. Archana ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Shear Stress ◽  
Numerical Solutions ◽  
Volume Fraction ◽  
Variable Viscosity ◽  
Post Treatment ◽  
Third Grade ◽  
Coating Process ◽  
Wire Surface ◽  
Content Type ◽  
Wire Coating

Purpose The features of coated wire product are measured by the flow and heat transport occurring in the interior of dies. Therefore, an understanding of characteristics of polymers momentum, heat mass transfer and wall shear stress is of great interest. Enhancement of heat transfer rate is fundamental need of wire coating process. Therefore, this study aims to investigate the effect of suspended nanoparticles in heat and mass transport phenomena of third-grade liquid in post-treatment of wire coating process. Buongiorno model for nanofluid is adopted. Two cases of temperature dependent viscosity are considered. Design/methodology/approach The governing equations are modelled with the help of steady-state conservation equations of mass, momentum, energy and nanoparticle concentration. Some appropriate dimensionless variables are introduced. Numerical solutions for the nonlinear problem are developed through Runge–Kutta–Fehlberg technique. The outcome of sundry variables for dimensionless flow, thermal and nanoparticle volume fraction fields are scrutinised through graphical illustrations. Findings The study’s numerical results disclose that the force on the total wire surface and shear stress at the surface in case of Reynolds Model dominate Vogel’s Model case. Impact of nanoparticles is constructive for force on the total wire surface and shear stress at the surface. The velocity of the coating material can be enhanced by the non-Newtonian property. Practical implications This study may provide useful information to improve the wire coating technology. Originality/value Effect of nanoparticles in wire coating analysis by using Brownian motion and thermophoresis slip mechanisms is investigated for the first time. Two different models for variable viscosity are used.

Flow of a Third Grade Fluid between Coaxial Cylinders with Variable Viscosity

2009 ◽  
Vol 64 (9-10) ◽  
pp. 588-596 ◽  
Author(s):  
Muhammad Y. Malik ◽  
Azad Hussain ◽  
Sohail Nadeem ◽  
Tasawar Hayat
Keyword(s):  
Variable Viscosity ◽  
Heat Transfer Analysis ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Coaxial Cylinders ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Dependent Viscosity

The influence of temperature dependent viscosity on the flow of a third grade fluid between two coaxial cylinders is carried out. The heat transfer analysis is further analyzed. Homotopy analysis method is employed in finding the series solutions. The effects of pertinent parameters have been explored by plotting graphs.

Thin Film Flow of a Third Grade Fluid with Variable Viscosity

2009 ◽  
Vol 64 (9-10) ◽  
pp. 553-558 ◽  
Author(s):  
Sohail Nadeem
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Variable Viscosity ◽  
Nonlinear Differential Equations ◽  
Third Grade ◽  
Outer Side ◽  
Physical Parameters ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Grade Fluid

The effects of variable viscosity on the flow and heat transfer in a thin film flow for a third grade fluid has been discussed. The thin film is considered on the outer side of an infinitely long vertical cylinder. The governing nonlinear differential equations of momentum and energy are solved analytically by using homotopy analysis method. The expression for the viscous dissipation and entropy generation are also defined. The graphical results are presented for various physical parameters appearing in the problem

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