Unsteady Flow of Third Grade Fluid over an Oscillatory Stretching Sheet with Thermal Radiation and Heat Source/Sink

2015 ◽  
Vol 4 (4) ◽  
Author(s):  
Nasir Ali ◽  
Sami Ullah Khan ◽  
Zaheer Abbas
Keyword(s):  
Heat Source ◽  
Thermal Radiation ◽  
Stretching Sheet ◽  
Third Grade ◽  
Third Grade Fluid ◽  
The Third ◽  
Fluid Parameter ◽  
Grade Fluid ◽  
Source Sink ◽  
Oscillatory Stretching Sheet

AbstractThe aim of this article is to investigate the unsteady boundary layer flow and heat transfer analysis in a third grade fluid over an oscillatory stretching sheet under the influences of thermal radiation and heat source/sink. The convective boundary condition at the sheet is imposed to determine the temperature distribution. Homotopy analysis method (HAM) is used to solve dimensionless nonlinear partial differential equations. The effects of involved parameters on both velocity and temperature fields are illustrated in detail through various plots. It is found that the amplitude of velocity decreases by increasing the ratio of the oscillation frequency of the sheet to its stretching rate and Hartmann number while it increases by increasing the third grade fluid parameter. On contrary, the temperature field is found to be a decreasing function of the third grade fluid parameter.

scholarly journals Effect of Joule Heating and Thermal Radiation in Flow of Third Grade Fluid over Radiative Surface

PLoS ONE ◽  
2014 ◽  
Vol 9 (1) ◽  
pp. e83153 ◽  
Author(s):  
Tasawar Hayat ◽  
Anum Shafiq ◽  
Ahmed Alsaedi
Keyword(s):  
Thermal Radiation ◽  
Joule Heating ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

scholarly journals MHD and Slip Effect in Micropolar Hybrid Nanofluid and Heat Transfer over a Stretching Sheet with Thermal Radiation and Non-uniform Heat Source/Sink

CFD letters ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 121-130
Author(s):  
Nur Faizzati Ahmad Faizal ◽  
Norihan Md Ariffin ◽  
Yong Faezah Rahim ◽  
Mohd Ezad Hafidz Hafidzuddin ◽  
Nadihah Wahi
Keyword(s):  
Heat Transfer ◽  
Angular Velocity ◽  
Heat Source ◽  
Thermal Radiation ◽  
Stretching Sheet ◽  
Velocity Profiles ◽  
Hybrid Nanofluid ◽  
Temperature Profiles ◽  
Uniform Heat ◽  
Source Sink

In the presence of slips, non-uniform heat source/sink, thermal radiation and magnetohydrodynamic (MHD), micropolar hybrid nanofluid and heat transfer over a stretching sheet has been studied. The problem is modelled as a mathematical formulation that involves a system of the partial differential equation. The similarity approach is adopted, and self-similar ordinary differential equations are obtained and then those are solved numerically using the shooting method. The flow field is affected by the presence of physical parameters such as micropolar parameter, magnetic field parameter, suction parameter and slip parameter whereas the temperature field is affected by thermal radiation parameter, space-dependent parameter, temperature-dependent internal heat generation/absorption parameter, Prantl number and Biot number. The skin friction coefficient, couple stress and local Nusselt number are tabulated and analysed. The effects of the governing parameters on the velocity profiles, angular velocity profiles and temperature profiles are illustrated graphically. The results of velocity profiles, angular velocity profiles and temperature profiles are also obtained for several values of each parameters involved.

scholarly journals Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder

2019 ◽  
Vol 8 (1) ◽  
pp. 673-687
Author(s):  
S. Abdul Gaffar ◽  
V. Ramachandra Prasad ◽  
P. Ramesh Reddy ◽  
B.Md. Hidayathulla Khan
Keyword(s):  
Heat Transfer ◽  
Skin Friction ◽  
Heat Transfer Rate ◽  
Transfer Rate ◽  
Third Grade ◽  
Materials Processing ◽  
Third Grade Fluid ◽  
Fluid Parameter ◽  
Grade Fluid ◽  
Horizontal Circular Cylinder

Abstract In this article, we study the nonlinear steady thermal convection of an incompressible third-grade non-Newtonian fluid from a horizontal circular cylinder. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-differences Keller Box technique. The influence of a number of emerging non-dimensional parameters, namely the third-grade fluid parameter (ϕ), the material fluid parameters (ϵ1, ϵ2), Prandtl number (Pr), Biot number (y), thermal radiation (F) and dimensionless tangential coordinate (ξ) on velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, the effects of these parameters on surface heat transfer rate and local skin friction are also investigated. Validation with earlier Newtonian studies is presented and excellent correlation is achieved. It is found that the velocity, skin friction and Nusselt number (heat transfer rate) reduce with increasing third grade fluid parameter (ϕ), whereas the temperature is enhanced. Increasing material fluid parameter (ϵ1) reduces the velocity and heat transfer rate but enhances the temperature and skin friction. The study is relevant to chemical materials processing applications and low density polymer materials processing.

scholarly journals The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Guangming Shao ◽  
Biao Liu ◽  
Yueying Liu
Keyword(s):  
Optimal Control ◽  
Third Grade ◽  
Sufficient Condition ◽  
Third Grade Fluid ◽  
Fluid System ◽  
Unique Existence ◽  
The Third ◽  
Existence Criterion ◽  
Grade Fluid ◽  
Time Fractional Derivative

The paper concerns the third grade fluid system with the time-fractional derivative of the order α∈(0,1). We first establish unique existence criterion of weak solutions in the case that the dimension n=3. Then we prove the sufficient condition of optimal pairs.

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